diff --git a/.gitignore b/.gitignore
index b89ebd6..952319d 100644
--- a/.gitignore
+++ b/.gitignore
@@ -18,6 +18,8 @@ backend/.env
 # 运行期生成的 SQLite 索引（vault 下的 Markdown 测试数据需提交）
 backend/data/*.db*
 backend/data/credentials/
+# 运行期导出的 HTML/PDF/DOCX 产物（不提交）
+backend/data/exports/
 backend/data/logs/
 # 阶段验收笔记（验收用，不提交）
 backend/data/vault/验收/
diff --git a/backend/app/config.py b/backend/app/config.py
index 00334c9..3d3d753 100644
--- a/backend/app/config.py
+++ b/backend/app/config.py
@@ -25,6 +25,7 @@ class Settings:
     vault_path: Path
     attachments_path: Path
     benchmark_datasets_path: Path
+    exports_path: Path
 
 
 @lru_cache
@@ -45,4 +46,5 @@ def get_settings() -> Settings:
         benchmark_datasets_path=Path(
             os.getenv("APP_BENCHMARK_DATASETS_PATH", str(data_dir / "benchmarks"))
         ),
+        exports_path=Path(os.getenv("APP_EXPORTS_PATH", str(data_dir / "exports"))),
     )
diff --git a/backend/app/contracts.py b/backend/app/contracts.py
index 2cc66b1..154c062 100644
--- a/backend/app/contracts.py
+++ b/backend/app/contracts.py
@@ -2,7 +2,14 @@ from datetime import datetime
 from enum import Enum
 from typing import Annotated, Any, Literal
 
-from pydantic import BaseModel, ConfigDict, Field, SecretStr, field_validator, model_validator
+from pydantic import (
+    BaseModel,
+    ConfigDict,
+    Field,
+    SecretStr,
+    field_validator,
+    model_validator,
+)
 from app.request_overrides import RequestOverride
 
 
@@ -1307,3 +1314,88 @@ class BenchmarkReport(Contract):
     cases: list[RAGCaseResult] = Field(default_factory=list)
     error: str | None = None
     error_code: str | None = None
+
+
+# Export（多格式文档导出）
+class ExportStatus(str, Enum):
+    queued = "queued"
+    running = "running"
+    completed = "completed"
+    failed = "failed"
+    cancelled = "cancelled"
+
+
+class ExportFormat(str, Enum):
+    html = "html"
+    pdf = "pdf"
+    docx = "docx"
+
+
+class ExportSourceType(str, Enum):
+    note = "note"
+    markdown = "markdown"
+
+
+class ExportSource(Contract):
+    """导出源：note 引用已索引笔记，markdown 用于未保存预览（不持久化）。"""
+
+    type: ExportSourceType
+    note_id: str | None = None
+    markdown: str | None = None
+
+    @model_validator(mode="after")
+    def _validate_source(self) -> "ExportSource":
+        if self.type == ExportSourceType.note and not self.note_id:
+            raise ValueError("note source requires note_id")
+        if self.type == ExportSourceType.markdown and not self.markdown:
+            raise ValueError("markdown source requires markdown")
+        return self
+
+
+class ExportOptions(Contract):
+    theme_id: str = "light"
+    include_title: bool = True
+    include_metadata: bool = False
+    page_size: str = "A4"
+    code_theme: str = "github-light"
+
+
+class ExportRequest(Contract):
+    source: ExportSource
+    format: ExportFormat
+    options: ExportOptions = Field(default_factory=ExportOptions)
+
+
+class ExportProgress(Contract):
+    phase: str
+    current: int
+    total: int
+    percent: float | None = None
+    message: str | None = None
+
+
+class ExportFile(Contract):
+    file_name: str
+    mime_type: str
+    size: int
+    sha256: str
+    expires_at: datetime
+
+
+class ExportJob(Contract):
+    job_id: str
+    status: ExportStatus
+    format: ExportFormat
+    progress: ExportProgress | None = None
+    file: ExportFile | None = None
+    warnings: list[str] = Field(default_factory=list)
+    error: str | None = None
+    error_code: str | None = None
+    created_at: datetime
+    started_at: datetime | None = None
+    completed_at: datetime | None = None
+
+
+class ExportJobListResponse(Contract):
+    items: list[ExportJob] = Field(default_factory=list)
+    page: PageMeta = Field(default_factory=PageMeta)
diff --git a/backend/app/export/__init__.py b/backend/app/export/__init__.py
new file mode 100644
index 0000000..d5a6faa
--- /dev/null
+++ b/backend/app/export/__init__.py
@@ -0,0 +1,8 @@
+"""Export Service：多格式文档导出（首批 HTML）。
+
+模块划分：
+- document.py        Document AST 内部协议 + DocumentExporter Protocol + ExportResult
+- markdown.py        mistune → Document AST 解析
+- exporters/html.py  HtmlExporter（Document AST → HTML5）
+- service.py         导出任务注册表、后台执行、取消与文件生命周期
+"""
diff --git a/backend/app/export/document.py b/backend/app/export/document.py
new file mode 100644
index 0000000..e09f5cb
--- /dev/null
+++ b/backend/app/export/document.py
@@ -0,0 +1,46 @@
+"""Document AST：导出器的内部中间表示（Internal Protocol，不放入 contracts.py）。
+
+契约 §10.3 规定节点用稳定判别字段 node_id / type / attributes / children / text，
+类型专有信息统一放 attributes（如 heading 的 level、link 的 href、image 的 src）。
+导出器据此递归渲染，对无法表示的节点记 warning，不静默丢弃。
+"""
+
+from __future__ import annotations
+
+from typing import Any, Protocol
+
+from pydantic import BaseModel, ConfigDict, Field
+
+from app.contracts import ExportOptions
+
+
+class DocumentNode(BaseModel):
+    """递归文档节点；type 取契约 §10.3 首批 node type 之一。"""
+
+    model_config = ConfigDict(extra="forbid")
+
+    type: str
+    node_id: str
+    attributes: dict[str, Any] = Field(default_factory=dict)
+    children: list["DocumentNode"] = Field(default_factory=list)
+    text: str = ""
+
+
+class Document(DocumentNode):
+    """根节点，type 固定为 document。"""
+
+    type: str = "document"
+
+
+class DocumentExporter(Protocol):
+    """导出器协议（契约 §10.3）：把 Document AST 渲染为指定格式的产物。"""
+
+    async def export(self, document: Document, options: ExportOptions) -> "ExportResult": ...
+
+
+class ExportResult(BaseModel):
+    model_config = ConfigDict(extra="forbid")
+
+    content: bytes
+    mime_type: str
+    warnings: list[str] = Field(default_factory=list)
diff --git a/backend/app/export/exporters/__init__.py b/backend/app/export/exporters/__init__.py
new file mode 100644
index 0000000..018a8ab
--- /dev/null
+++ b/backend/app/export/exporters/__init__.py
@@ -0,0 +1 @@
+"""Export 渲染器：Document AST → 具体格式产物。"""
diff --git a/backend/app/export/exporters/_common.py b/backend/app/export/exporters/_common.py
new file mode 100644
index 0000000..cbf41ed
--- /dev/null
+++ b/backend/app/export/exporters/_common.py
@@ -0,0 +1,79 @@
+"""导出器共享工具：URL 协议校验、函数图像预算与占位 warning 文案。
+
+html / pdf / docx 三个导出器共用同一套安全规则与函数图像资源预算，避免各写一份
+导致行为漂移。
+"""
+
+from __future__ import annotations
+
+from datetime import datetime
+from urllib.parse import urlparse
+
+# 链接/图片地址允许的协议；无 scheme 的相对地址视为安全，其余协议一律降级
+ALLOWED_URL_SCHEMES = frozenset({"http", "https", "mailto"})
+
+MERMAID_WARNING = "mermaid 需前端渲染，已保留为占位代码块"
+RAW_HTML_WARNING = "原始 HTML 已按纯文本转义保留"
+# DOCX 暂不支持静态渲染函数图像，统一回退源码占位
+PLOT_PLACEHOLDER_WARNING = "函数图像：该格式暂不支持静态渲染，已保留为源码占位"
+
+# 单篇文档允许的函数图像数量上限，超出部分回退占位，防止多图块并发采样耗尽内存/线程
+MAX_FUNCTION_PLOTS = 16
+# 单篇文档允许的函数图像累计 AST 节点预算，超出部分回退占位，防止组合复杂度（多图块
+# × 多表达式 × 深表达式）在采样求值时长时间占满 CPU
+MAX_TOTAL_PLOT_NODES = 8000
+
+
+class FunctionPlotBudget:
+    """函数图像文档级资源预算：数量上限 + 累计 AST 节点上限。
+
+    HTML 与 PDF 导出器在渲染每个 function-plot 图块前先问预算，超限即回退源码占位，
+    不解析不采样，避免多图块组合复杂度耗尽内存/CPU。
+    """
+
+    def __init__(self, max_plots: int | None = None, max_total_nodes: int | None = None) -> None:
+        # 默认读模块常量（便于测试 monkeypatch 常量后重新生效）
+        self.max_plots = MAX_FUNCTION_PLOTS if max_plots is None else max_plots
+        self.max_total_nodes = MAX_TOTAL_PLOT_NODES if max_total_nodes is None else max_total_nodes
+        self.count = 0
+        self.total_nodes = 0
+
+    def check_count(self) -> str | None:
+        """图块数量 +1；超限返回 warning 文案，否则返回 None。"""
+        self.count += 1
+        if self.count > self.max_plots:
+            return f"函数图像：文档内函数图像数量超过上限 {self.max_plots}，已回退为源码占位"
+        return None
+
+    def check_nodes(self, node_count: int) -> str | None:
+        """累计节点预算校验；超限返回 warning 文案（不累加），否则累加并返回 None。"""
+        if self.total_nodes + node_count > self.max_total_nodes:
+            return f"函数图像：文档内函数图像累计复杂度超过上限 {self.max_total_nodes} 节点，已回退为源码占位"
+        self.total_nodes += node_count
+        return None
+
+
+def format_plot_diagnostic(diag) -> str:
+    """把解析诊断格式化为面向用户的 warning 文案。"""
+    loc = f"（第 {diag.line} 行）" if diag.line else ""
+    return f"函数图像：{diag.message}{loc}"
+
+
+def safe_url(url: str) -> str | None:
+    """校验 URL 协议；安全返回原串，不安全返回 None。"""
+    url = url.strip()
+    if not url:
+        return None
+    scheme = urlparse(url).scheme.lower()
+    if scheme and scheme not in ALLOWED_URL_SCHEMES:
+        return None
+    return url
+
+
+def format_meta_value(value: object) -> str:
+    """把元数据值转成可读文本：datetime 转 ISO、列表用逗号连接。"""
+    if isinstance(value, datetime):
+        return value.isoformat()
+    if isinstance(value, list):
+        return ", ".join(str(item) for item in value)
+    return str(value)
diff --git a/backend/app/export/exporters/docx.py b/backend/app/export/exporters/docx.py
new file mode 100644
index 0000000..74c9d9c
--- /dev/null
+++ b/backend/app/export/exporters/docx.py
@@ -0,0 +1,347 @@
+"""DocxExporter：Document AST → DOCX（python-docx）。
+
+v1 为文本优先：标题/段落/行内强调与链接/列表/引用/表格/代码块/数学文本均可导出；
+function_plot 与 mermaid 保留源码占位并记 warning。中文字体通过 Normal 样式挂载
+w:eastAsia=宋体，保证 Word 打开时中文正常显示；bold/italic 由 Word 原生渲染。
+"""
+
+from __future__ import annotations
+
+from io import BytesIO
+
+from docx import Document as DocxDocument
+from docx.enum.text import WD_ALIGN_PARAGRAPH
+from docx.opc.constants import RELATIONSHIP_TYPE
+from docx.oxml import OxmlElement
+from docx.oxml.ns import qn
+from docx.shared import Inches, Mm, Pt, RGBColor
+
+from app.contracts import ExportOptions
+from app.export.document import Document, DocumentNode, ExportResult
+from app.export.exporters._common import (
+    MERMAID_WARNING,
+    PLOT_PLACEHOLDER_WARNING,
+    RAW_HTML_WARNING,
+    format_meta_value,
+    safe_url,
+)
+
+_MIME = "application/vnd.openxmlformats-officedocument.wordprocessingml.document"
+
+_HEADING_SIZES = {1: 20, 2: 16, 3: 14, 4: 12, 5: 11, 6: 10.5}
+
+
+def _plain_text(children: list[DocumentNode]) -> str:
+    """递归拼接行内节点的纯文本，供标题/链接文字等需要纯文本处使用。"""
+    parts: list[str] = []
+    for child in children:
+        if child.type == "text":
+            parts.append(child.text)
+        elif child.children:
+            parts.append(_plain_text(child.children))
+        elif child.text:
+            parts.append(child.text)
+    return "".join(parts)
+
+
+class DocxExporter:
+    """实现 DocumentExporter：递归渲染 Document AST 为 DOCX 字节流。"""
+
+    def render(self, document: Document, options: ExportOptions) -> ExportResult:
+        """同步渲染；CPU 密集，调用方应放入线程执行，避免阻塞事件循环。"""
+        self._doc = DocxDocument()
+        self._configure_normal_style()
+        self._configure_page(options)
+        warnings: list[str] = []
+
+        self._render_header(document, options, warnings)
+        self._render_children(document.children, warnings)
+
+        buf = BytesIO()
+        self._doc.save(buf)
+        return ExportResult(content=buf.getvalue(), mime_type=_MIME, warnings=warnings)
+
+    async def export(self, document: Document, options: ExportOptions) -> ExportResult:
+        """契约要求的 async 接口；渲染本身同步，直接转发到 render。"""
+        return self.render(document, options)
+
+    def _configure_normal_style(self) -> None:
+        """Normal 样式挂载 CJK 字体；拉丁用 Calibri，中文用宋体。"""
+        style = self._doc.styles["Normal"]
+        style.font.name = "Calibri"
+        style.font.size = Pt(11)
+        rfonts = style.element.get_or_add_rPr().get_or_add_rFonts()
+        rfonts.set(qn("w:eastAsia"), "宋体")
+
+    def _configure_page(self, options: ExportOptions) -> None:
+        section = self._doc.sections[0]
+        size = (options.page_size or "A4").lower()
+        if size == "a4":
+            section.page_width = Mm(210)
+            section.page_height = Mm(297)
+        elif size == "letter":
+            section.page_width = Inches(8.5)
+            section.page_height = Inches(11)
+
+    # --- 文档头部 ---
+    def _render_header(self, document: Document, options: ExportOptions, warnings: list[str]) -> None:
+        title = str(document.attributes.get("title") or "")
+        if options.include_title and title:
+            p = self._doc.add_paragraph()
+            run = p.add_run(title)
+            run.bold = True
+            run.font.size = Pt(22)
+            p.paragraph_format.space_after = Pt(12)
+        if options.include_metadata:
+            metadata = document.attributes.get("metadata")
+            if metadata:
+                for key, value in metadata.items():
+                    p = self._doc.add_paragraph()
+                    run = p.add_run(f"{key}: {format_meta_value(value)}")
+                    run.font.size = Pt(9)
+                    run.font.color.rgb = RGBColor(0x57, 0x60, 0x6A)
+
+    # --- 块级 ---
+    def _render_children(self, children: list[DocumentNode], warnings: list[str]) -> None:
+        for child in children:
+            self._render_block(child, warnings)
+
+    def _render_block(self, node: DocumentNode, warnings: list[str]) -> None:
+        handler = getattr(self, f"_block_{node.type}", None)
+        if handler is not None:
+            handler(node, warnings)
+        else:
+            warnings.append(f"无法表示的节点类型已跳过：{node.type}")
+
+    def _block_heading(self, node: DocumentNode, warnings: list[str]) -> None:
+        level = max(1, min(6, int(node.attributes.get("level", 1))))
+        p = self._doc.add_paragraph()
+        run = p.add_run(_plain_text(node.children))
+        run.bold = True
+        run.font.size = Pt(_HEADING_SIZES[level])
+        p.paragraph_format.space_before = Pt(14 if level <= 2 else 10)
+        p.paragraph_format.space_after = Pt(6)
+
+    def _block_paragraph(self, node: DocumentNode, warnings: list[str]) -> None:
+        p = self._doc.add_paragraph()
+        self._render_inline(p, node.children, warnings)
+
+    def _block_blockquote(self, node: DocumentNode, warnings: list[str]) -> None:
+        # 引用块的直接子节点是块级节点（paragraph/list 等），不能交给行内渲染器，
+        # 否则正文会被当作「无法表示的行内节点」丢弃；逐个渲染并继承引用缩进/颜色。
+        for child in node.children:
+            if child.type == "paragraph":
+                p = self._doc.add_paragraph()
+                self._render_inline(p, child.children, warnings)
+                p.paragraph_format.left_indent = Pt(16)
+                for run in p.runs:
+                    run.font.color.rgb = RGBColor(0x57, 0x60, 0x6A)
+            elif child.type == "list":
+                self._block_list(child, warnings, level=1, color=RGBColor(0x57, 0x60, 0x6A))
+            else:
+                self._render_block(child, warnings)
+
+    def _block_list(
+        self,
+        node: DocumentNode,
+        warnings: list[str],
+        level: int = 0,
+        color: RGBColor | None = None,
+    ) -> None:
+        ordered = bool(node.attributes.get("ordered"))
+        for index, item in enumerate(node.children, start=1):
+            self._block_list_item(item, warnings, ordered, index, level, color)
+
+    def _block_list_item(
+        self,
+        item: DocumentNode,
+        warnings: list[str],
+        ordered: bool,
+        index: int,
+        level: int,
+        color: RGBColor | None = None,
+    ) -> None:
+        if item.attributes.get("task"):
+            marker = "☑ " if item.attributes.get("checked") else "☐ "
+        else:
+            marker = f"{index}. " if ordered else "• "
+        indent = Pt(18 + 18 * level)
+        first = True
+        for child in item.children:
+            if child.type == "list":
+                self._block_list(child, warnings, level + 1, color)
+                continue
+            p = self._doc.add_paragraph()
+            p.paragraph_format.left_indent = indent
+            if first:
+                self._add_run(p, marker)
+                first = False
+            if child.type == "paragraph":
+                # 块级容器：展开其行内子节点
+                self._render_inline(p, child.children, warnings)
+            else:
+                # 直接行内节点（text/strong/emphasis/link/codespan 等）：走行内渲染保留
+                # 语义（加粗/斜体/超链接），不能只渲染其 children 而丢掉格式。
+                self._render_inline_node(p, child, warnings)
+            if color is not None:
+                for run in p.runs:
+                    run.font.color.rgb = color
+
+    def _block_table(self, node: DocumentNode, warnings: list[str]) -> None:
+        rows = node.children
+        ncols = max((len(r.children) for r in rows), default=0)
+        if not rows or ncols == 0:
+            return
+        table = self._doc.add_table(rows=len(rows), cols=ncols)
+        table.style = "Table Grid"
+        for ri, row in enumerate(rows):
+            head = bool(row.attributes.get("head"))
+            for ci in range(ncols):
+                cell = table.cell(ri, ci)
+                p = cell.paragraphs[0]
+                if ci < len(row.children):
+                    self._render_inline(p, row.children[ci].children, warnings, bold=head)
+
+    def _block_code_block(self, node: DocumentNode, warnings: list[str]) -> None:
+        lines = node.text.split("\n")
+        p = self._doc.add_paragraph()
+        self._shade_paragraph(p)
+        p.paragraph_format.left_indent = Pt(8)
+        p.paragraph_format.right_indent = Pt(8)
+        p.paragraph_format.space_before = Pt(6)
+        p.paragraph_format.space_after = Pt(8)
+        for i, line in enumerate(lines):
+            run = p.add_run(line)
+            run.font.name = "Consolas"
+            run.font.size = Pt(10)
+            if i < len(lines) - 1:
+                run.add_break()
+
+    def _block_thematic_break(self, node: DocumentNode, warnings: list[str]) -> None:
+        p = self._doc.add_paragraph()
+        pPr = p._p.get_or_add_pPr()
+        pBdr = OxmlElement("w:pBdr")
+        bottom = OxmlElement("w:bottom")
+        bottom.set(qn("w:val"), "single")
+        bottom.set(qn("w:sz"), "6")
+        bottom.set(qn("w:space"), "1")
+        bottom.set(qn("w:color"), "D0D7DE")
+        pBdr.append(bottom)
+        pPr.append(pBdr)
+
+    def _block_mermaid(self, node: DocumentNode, warnings: list[str]) -> None:
+        warnings.append(MERMAID_WARNING)
+        self._block_code_block(node, warnings)
+
+    def _block_function_plot(self, node: DocumentNode, warnings: list[str]) -> None:
+        warnings.append(PLOT_PLACEHOLDER_WARNING)
+        self._block_code_block(node, warnings)
+
+    def _block_math_block(self, node: DocumentNode, warnings: list[str]) -> None:
+        p = self._doc.add_paragraph()
+        p.alignment = WD_ALIGN_PARAGRAPH.CENTER
+        p.add_run(f"$${node.text}$$")
+
+    def _block_html_block(self, node: DocumentNode, warnings: list[str]) -> None:
+        # 原始 HTML 不可信，按纯文本保留正文
+        warnings.append(RAW_HTML_WARNING)
+        self._doc.add_paragraph(node.text)
+
+    # --- 行内（写入 run） ---
+    def _render_inline(
+        self,
+        paragraph,
+        children: list[DocumentNode],
+        warnings: list[str],
+        bold: bool = False,
+        italic: bool = False,
+    ) -> None:
+        for child in children:
+            self._render_inline_node(paragraph, child, warnings, bold, italic)
+
+    def _render_inline_node(
+        self,
+        paragraph,
+        node: DocumentNode,
+        warnings: list[str],
+        bold: bool = False,
+        italic: bool = False,
+    ) -> None:
+        t = node.type
+        if t == "text":
+            self._add_run(paragraph, node.text, bold=bold, italic=italic)
+        elif t == "strong":
+            self._render_inline(paragraph, node.children, warnings, bold=True, italic=italic)
+        elif t == "emphasis":
+            self._render_inline(paragraph, node.children, warnings, bold=bold, italic=True)
+        elif t == "codespan":
+            self._add_run(paragraph, node.text, code=True)
+        elif t == "link":
+            inner = _plain_text(node.children)
+            href = str(node.attributes.get("href") or "")
+            safe_href = safe_url(href)
+            if safe_href is None:
+                warnings.append(f"链接协议不安全，已降级为纯文本：{href!r}")
+                self._render_inline(paragraph, node.children, warnings, bold, italic)
+            else:
+                self._add_hyperlink(paragraph, safe_href, inner)
+        elif t == "image":
+            src = str(node.attributes.get("src") or "")
+            alt = str(node.attributes.get("alt") or "")
+            if safe_url(src) is None:
+                warnings.append(f"图片地址不安全，已跳过：{src!r}")
+            else:
+                warnings.append("图片未内嵌到 DOCX，已用替代文本表示")
+            if alt:
+                self._add_run(paragraph, alt)
+        elif t == "math_inline":
+            self._add_run(paragraph, f"\\({node.text}\\)")
+        elif t == "linebreak":
+            self._add_run(paragraph, "").add_break()
+        else:
+            warnings.append(f"无法表示的行内节点已跳过：{t}")
+
+    def _add_run(self, paragraph, text: str, bold: bool = False, italic: bool = False, code: bool = False):
+        run = paragraph.add_run(text)
+        run.bold = bold
+        run.italic = italic
+        if code:
+            run.font.name = "Consolas"
+            run.font.size = Pt(10)
+        return run
+
+    def _add_hyperlink(self, paragraph, url: str, text: str) -> None:
+        """写入可点击的超链接 run（python-docx 无公开 API，需手写 w:hyperlink）。"""
+        part = paragraph.part
+        r_id = part.relate_to(url, RELATIONSHIP_TYPE.HYPERLINK, is_external=True)
+        hyperlink = OxmlElement("w:hyperlink")
+        hyperlink.set(qn("r:id"), r_id)
+        run = OxmlElement("w:r")
+        rPr = OxmlElement("w:rPr")
+        rFonts = OxmlElement("w:rFonts")
+        rFonts.set(qn("w:ascii"), "Calibri")
+        rFonts.set(qn("w:hAnsi"), "Calibri")
+        rFonts.set(qn("w:eastAsia"), "宋体")
+        rPr.append(rFonts)
+        color = OxmlElement("w:color")
+        color.set(qn("w:val"), "0969DA")
+        rPr.append(color)
+        u = OxmlElement("w:u")
+        u.set(qn("w:val"), "single")
+        rPr.append(u)
+        run.append(rPr)
+        t = OxmlElement("w:t")
+        t.text = text
+        t.set(qn("xml:space"), "preserve")
+        run.append(t)
+        hyperlink.append(run)
+        paragraph._p.append(hyperlink)
+
+    def _shade_paragraph(self, paragraph, fill: str = "F2F2F2") -> None:
+        """给段落加浅灰底纹，用于代码块占位。"""
+        pPr = paragraph._p.get_or_add_pPr()
+        shd = OxmlElement("w:shd")
+        shd.set(qn("w:val"), "clear")
+        shd.set(qn("w:color"), "auto")
+        shd.set(qn("w:fill"), fill)
+        pPr.append(shd)
diff --git a/backend/app/export/exporters/html.py b/backend/app/export/exporters/html.py
new file mode 100644
index 0000000..54af119
--- /dev/null
+++ b/backend/app/export/exporters/html.py
@@ -0,0 +1,284 @@
+"""HtmlExporter：Document AST → 完整 HTML5 文档（内嵌基础 CSS）。
+
+mermaid 等无法静态表达的节点渲染为占位代码块并记 warning，不静默丢失；function_plot
+解析为静态 SVG 内嵌（解析失败回退占位并转诊断）；严重内容缺失由 service 层以
+EXPORT_UNSUPPORTED_CONTENT 判定，本层只负责逐节点渲染。
+"""
+
+from __future__ import annotations
+
+import html
+from datetime import datetime
+from urllib.parse import urlparse
+
+from app.contracts import ExportOptions
+from app.export.document import Document, DocumentNode, ExportResult
+from app.export.exporters._common import FunctionPlotBudget, format_plot_diagnostic
+from app.plot.renderer import FunctionPlotStaticRenderer, StaticRenderRequest
+
+_MERMAID_WARNING = "mermaid 需前端渲染，已保留为占位代码块"
+_RAW_HTML_WARNING = "原始 HTML 已按纯文本转义保留"
+
+# 链接/图片地址允许的协议；无 scheme 的相对地址视为安全，其余协议一律降级
+_ALLOWED_URL_SCHEMES = frozenset({"http", "https", "mailto"})
+
+
+def _safe_url(url: str) -> str | None:
+    """校验 URL 协议；安全返回原串，不安全返回 None。"""
+    url = url.strip()
+    if not url:
+        return None
+    scheme = urlparse(url).scheme.lower()
+    if scheme and scheme not in _ALLOWED_URL_SCHEMES:
+        return None
+    return url
+
+_BASE_CSS = """
+body { margin: 0; background: #f6f7f9; color: #1f2328; font: 15px/1.7 -apple-system, 'Segoe UI', 'Microsoft YaHei', sans-serif; }
+article { max-width: 860px; margin: 0 auto; padding: 40px 48px; background: #fff; }
+article.theme-dark { background: #0d1117; color: #c9d1d9; }
+h1, h2, h3, h4, h5, h6 { line-height: 1.3; margin: 1.4em 0 0.6em; }
+h1.title { margin-top: 0; }
+p { margin: 0.6em 0; }
+a { color: #0969da; }
+code { font-family: 'JetBrains Mono', Consolas, monospace; font-size: 0.9em; background: #f0f1f3; padding: 0.15em 0.35em; border-radius: 3px; }
+pre { background: #f6f8fa; padding: 14px 16px; border-radius: 6px; overflow-x: auto; }
+pre.code-theme-github-dark { background: #0d1117; color: #c9d1d9; }
+pre code { background: none; padding: 0; }
+pre.mermaid, pre.function-plot { border: 1px dashed #d0d7de; }
+figure.function-plot { margin: 1em 0; text-align: center; }
+figure.function-plot svg { max-width: 100%; height: auto; }
+blockquote { margin: 0.8em 0; padding: 0.2em 1em; border-left: 4px solid #d0d7de; color: #57606a; }
+img { max-width: 100%; }
+table { border-collapse: collapse; margin: 0.8em 0; }
+th, td { border: 1px solid #d0d7de; padding: 6px 12px; }
+th { background: #f6f8fa; }
+dl.metadata { font-size: 0.85em; color: #57606a; border-top: 1px solid #eaeef2; border-bottom: 1px solid #eaeef2; padding: 0.6em 0; }
+dl.metadata dt { display: inline; font-weight: 600; margin-right: 0.4em; }
+dl.metadata dd { display: inline; margin: 0 1.2em 0 0; }
+.math, .math-block { overflow-x: auto; padding: 0.4em 0; }
+.task-list-item { list-style: none; }
+.task-list-item input { margin-right: 0.4em; }
+hr { border: none; border-top: 1px solid #d0d7de; margin: 1.4em 0; }
+""".strip()
+
+
+class HtmlExporter:
+    """实现 DocumentExporter：递归渲染 Document AST 为完整 HTML5 文档。"""
+
+    def render(self, document: Document, options: ExportOptions) -> ExportResult:
+        """同步渲染；CPU 密集，调用方应放入线程执行，避免阻塞事件循环。"""
+        self._options = options
+        self._plot_budget = FunctionPlotBudget()
+        self._plot_renderer = FunctionPlotStaticRenderer()
+        warnings: list[str] = []
+        body = self._render_children(document.children, warnings)
+        content = self._assemble(document, options, body, warnings)
+        return ExportResult(
+            content=content.encode("utf-8"), mime_type="text/html", warnings=warnings
+        )
+
+    async def export(self, document: Document, options: ExportOptions) -> ExportResult:
+        """契约要求的 async 接口；渲染本身同步，直接转发到 render。"""
+        return self.render(document, options)
+
+    def _assemble(
+        self, document: Document, options: ExportOptions, body: str, warnings: list[str]
+    ) -> str:
+        title = str(document.attributes.get("title") or "")
+        parts = [
+            "<!doctype html>",
+            '<html lang="zh-CN">',
+            "<head>",
+            '<meta charset="utf-8">',
+            '<meta name="viewport" content="width=device-width, initial-scale=1">',
+        ]
+        if title:
+            parts.append(f"<title>{html.escape(title)}</title>")
+        parts.append(f"<style>{_BASE_CSS}</style>")
+        parts.append("</head>")
+        parts.append("<body>")
+        parts.append(f'<article class="theme-{html.escape(options.theme_id)}">')
+        if options.include_title and title:
+            parts.append(f'<h1 class="title">{html.escape(title)}</h1>')
+        if options.include_metadata:
+            metadata = document.attributes.get("metadata")
+            if metadata:
+                parts.append(self._render_metadata(metadata))
+        parts.append(body)
+        parts.append("</article>")
+        parts.append("</body>")
+        parts.append("</html>")
+        return "\n".join(parts) + "\n"
+
+    def _render_metadata(self, metadata: dict) -> str:
+        entries = ["<dl", ' class="metadata">']
+        for key, value in metadata.items():
+            entries.append(f"<dt>{html.escape(str(key))}</dt>")
+            entries.append(f"<dd>{html.escape(self._fmt_meta_value(value))}</dd>")
+        entries.append("</dl>")
+        return "".join(entries)
+
+    @staticmethod
+    def _fmt_meta_value(value: object) -> str:
+        if isinstance(value, datetime):
+            return value.isoformat()
+        if isinstance(value, list):
+            return ", ".join(str(item) for item in value)
+        return str(value)
+
+    def _render_children(self, children: list[DocumentNode], warnings: list[str]) -> str:
+        return "".join(self._render_node(child, warnings) for child in children)
+
+    def _render_node(self, node: DocumentNode, warnings: list[str]) -> str:
+        handler = getattr(self, f"_render_{node.type}", None)
+        if handler is not None:
+            return handler(node, warnings)
+        warnings.append(f"无法表示的节点类型已跳过：{node.type}")
+        return ""
+
+    # --- 块级 ---
+    def _render_heading(self, node: DocumentNode, warnings: list[str]) -> str:
+        level = max(1, min(6, int(node.attributes.get("level", 1))))
+        return f"<h{level}>{self._render_children(node.children, warnings)}</h{level}>"
+
+    def _render_paragraph(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<p>{self._render_children(node.children, warnings)}</p>"
+
+    def _render_blockquote(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<blockquote>{self._render_children(node.children, warnings)}</blockquote>"
+
+    def _render_list(self, node: DocumentNode, warnings: list[str]) -> str:
+        tag = "ol" if node.attributes.get("ordered") else "ul"
+        return f"<{tag}>{self._render_children(node.children, warnings)}</{tag}>"
+
+    def _render_list_item(self, node: DocumentNode, warnings: list[str]) -> str:
+        inner = self._render_children(node.children, warnings)
+        if node.attributes.get("task"):
+            checked = " checked" if node.attributes.get("checked") else ""
+            return (
+                '<li class="task-list-item">'
+                f'<input type="checkbox" disabled{checked}>{inner}</li>'
+            )
+        return f"<li>{inner}</li>"
+
+    def _render_table(self, node: DocumentNode, warnings: list[str]) -> str:
+        rows = node.children
+        head_rows = [r for r in rows if r.attributes.get("head")]
+        body_rows = [r for r in rows if not r.attributes.get("head")]
+        parts = ["<table>"]
+        if head_rows:
+            parts.append("<thead>")
+            parts.extend(self._render_node(r, warnings) for r in head_rows)
+            parts.append("</thead>")
+        if body_rows:
+            parts.append("<tbody>")
+            parts.extend(self._render_node(r, warnings) for r in body_rows)
+            parts.append("</tbody>")
+        parts.append("</table>")
+        return "".join(parts)
+
+    def _render_table_row(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<tr>{self._render_children(node.children, warnings)}</tr>"
+
+    def _render_table_cell(self, node: DocumentNode, warnings: list[str]) -> str:
+        tag = "th" if node.attributes.get("head") else "td"
+        return f"<{tag}>{self._render_children(node.children, warnings)}</{tag}>"
+
+    def _render_code_block(self, node: DocumentNode, warnings: list[str]) -> str:
+        lang = str(node.attributes.get("language") or "")
+        code = html.escape(node.text)
+        lang_cls = f' class="language-{html.escape(lang)}"' if lang else ""
+        theme = html.escape(self._options.code_theme)
+        return f'<pre class="code-theme-{theme}"><code{lang_cls}>{code}</code></pre>'
+
+    def _render_thematic_break(self, node: DocumentNode, warnings: list[str]) -> str:
+        return "<hr>"
+
+    def _render_mermaid(self, node: DocumentNode, warnings: list[str]) -> str:
+        warnings.append(_MERMAID_WARNING)
+        return f'<pre class="mermaid">{html.escape(node.text)}</pre>'
+
+    def _render_function_plot(self, node: DocumentNode, warnings: list[str]) -> str:
+        # 文档级数量上限：超出部分直接回退占位，不解析不采样，防止海量图像耗尽资源
+        over = self._plot_budget.check_count()
+        if over is not None:
+            warnings.append(over)
+            return f'<pre class="function-plot">{html.escape(node.text)}</pre>'
+        # 解析与渲染共同纳入局部异常回退：单个图像失败只回退占位 + warning，
+        # 绝不阻断整篇导出（含复杂表达式触发的 RecursionError 等异常）。
+        try:
+            request = StaticRenderRequest(
+                kind="function_plot", source=node.text, theme=self._options.theme_id
+            )
+            parsed = self._plot_renderer.parse(request)
+            for diag in parsed.diagnostics:
+                warnings.append(format_plot_diagnostic(diag))
+            if parsed.plot is None:
+                return f'<pre class="function-plot">{html.escape(node.text)}</pre>'
+            # 文档级累计复杂度预算：超出后回退占位，不再采样求值
+            over = self._plot_budget.check_nodes(parsed.plot.node_count)
+            if over is not None:
+                warnings.append(over)
+                return f'<pre class="function-plot">{html.escape(node.text)}</pre>'
+            rendered = self._plot_renderer.render_plot(parsed.plot)
+        except Exception as exc:
+            warnings.append(f"函数图像：解析或渲染失败，已回退占位（{exc}）")
+            return f'<pre class="function-plot">{html.escape(node.text)}</pre>'
+        warnings.extend(rendered.warnings)
+        return f'<figure class="function-plot">{rendered.content}</figure>'
+
+    def _render_math_block(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f'<div class="math-block">$${html.escape(node.text)}$$</div>'
+
+    def _render_html_block(self, node: DocumentNode, warnings: list[str]) -> str:
+        # 原始 HTML 不可信，转义为纯文本展示，保证正文不丢且无注入风险
+        warnings.append(_RAW_HTML_WARNING)
+        return f'<div class="raw-html">{html.escape(node.text)}</div>'
+
+    # --- 行内 ---
+    def _render_text(self, node: DocumentNode, warnings: list[str]) -> str:
+        return html.escape(node.text)
+
+    def _render_emphasis(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<em>{self._render_children(node.children, warnings)}</em>"
+
+    def _render_strong(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<strong>{self._render_children(node.children, warnings)}</strong>"
+
+    def _render_link(self, node: DocumentNode, warnings: list[str]) -> str:
+        inner = self._render_children(node.children, warnings)
+        href = str(node.attributes.get("href") or "")
+        safe_href = _safe_url(href)
+        if safe_href is None:
+            # 危险协议（如 javascript:）降级为纯文本，不输出可点击链接
+            warnings.append(f"链接协议不安全，已降级为纯文本：{href!r}")
+            return inner
+        title = str(node.attributes.get("title") or "")
+        attrs = [f'href="{html.escape(safe_href)}"']
+        if title:
+            attrs.append(f'title="{html.escape(title)}"')
+        return f"<a {' '.join(attrs)}>{inner}</a>"
+
+    def _render_codespan(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"<code>{html.escape(node.text)}</code>"
+
+    def _render_image(self, node: DocumentNode, warnings: list[str]) -> str:
+        src = str(node.attributes.get("src") or "")
+        alt = str(node.attributes.get("alt") or "")
+        safe_src = _safe_url(src)
+        if safe_src is None:
+            # 危险协议（如 data:/javascript:）跳过图片，仅输出 alt 文本
+            warnings.append(f"图片地址不安全，已跳过：{src!r}")
+            return html.escape(alt) if alt else ""
+        title = str(node.attributes.get("title") or "")
+        attrs = [f'src="{html.escape(safe_src)}"', f'alt="{html.escape(alt)}"']
+        if title:
+            attrs.append(f'title="{html.escape(title)}"')
+        return f"<img {' '.join(attrs)}>"
+
+    def _render_math_inline(self, node: DocumentNode, warnings: list[str]) -> str:
+        return f"\\({html.escape(node.text)}\\)"
+
+    def _render_linebreak(self, node: DocumentNode, warnings: list[str]) -> str:
+        return "<br>"
diff --git a/backend/app/export/exporters/pdf.py b/backend/app/export/exporters/pdf.py
new file mode 100644
index 0000000..e15f742
--- /dev/null
+++ b/backend/app/export/exporters/pdf.py
@@ -0,0 +1,375 @@
+"""PdfExporter：Document AST → PDF（reportlab platypus）。
+
+v1 为文本优先：标题/段落/行内强调与链接/列表/引用/表格/代码块/数学文本均可导出；
+function_plot 内嵌为矢量图（reportlab Drawing），mermaid 保留源码占位并记 warning。
+中文字体用 reportlab 内置 STSong-Light CID 字体，避免外部字体依赖。CID 字体无独立
+bold/italic 字重，故行内强调退化为普通文本（内容不丢、样式简化），标题靠字号区分层级。
+"""
+
+from __future__ import annotations
+
+import html as _html
+from io import BytesIO
+
+from reportlab.lib.enums import TA_CENTER
+from reportlab.lib.pagesizes import A4, letter
+from reportlab.lib.styles import ParagraphStyle
+from reportlab.lib.units import mm
+from reportlab.pdfbase import pdfmetrics
+from reportlab.pdfbase.cidfonts import UnicodeCIDFont
+from reportlab.platypus import (
+    Paragraph,
+    Preformatted,
+    SimpleDocTemplate,
+    Spacer,
+    Table,
+    TableStyle,
+)
+from reportlab.platypus.flowables import HRFlowable
+
+from app.contracts import ExportOptions
+from app.export.document import Document, DocumentNode, ExportResult
+from app.export.exporters._common import (
+    MERMAID_WARNING,
+    RAW_HTML_WARNING,
+    FunctionPlotBudget,
+    format_meta_value,
+    format_plot_diagnostic,
+    safe_url,
+)
+from app.plot.render_reportlab import render_drawing
+from app.plot.renderer import FunctionPlotStaticRenderer, StaticRenderRequest
+
+_FONT = "STSong-Light"
+pdfmetrics.registerFont(UnicodeCIDFont(_FONT))
+
+_MIME = "application/pdf"
+
+_PAGE_SIZES = {"a4": A4, "letter": letter}
+
+# 标题字号随层级递减；标题不依赖粗体（CID 无粗体字重），靠字号拉开层级
+_HEADING_SIZES = {1: 20, 2: 16, 3: 14, 4: 12, 5: 11, 6: 10.5}
+# 引用块文字颜色，与 HtmlExporter 的引用灰一致
+_QUOTE_COLOR = "#57606a"
+
+
+def _make_styles() -> dict[str, ParagraphStyle]:
+    body = ParagraphStyle(
+        "pdf-body",
+        fontName=_FONT,
+        fontSize=10.5,
+        leading=16,
+        spaceAfter=6,
+    )
+    title = ParagraphStyle("pdf-title", parent=body, fontSize=22, leading=28, spaceAfter=12)
+    quote = ParagraphStyle(
+        "pdf-quote",
+        parent=body,
+        leftIndent=14,
+        textColor="#57606a",
+        spaceBefore=4,
+        spaceAfter=6,
+    )
+    code = ParagraphStyle(
+        "pdf-code",
+        parent=body,
+        fontSize=9,
+        leading=12,
+        leftIndent=6,
+        rightIndent=6,
+        backColor="#f6f8fa",
+        borderColor="#d0d7de",
+        borderWidth=0.5,
+        borderPadding=6,
+        spaceBefore=4,
+        spaceAfter=8,
+    )
+    math = ParagraphStyle("pdf-math", parent=body, alignment=TA_CENTER, spaceBefore=6)
+    cell = ParagraphStyle("pdf-cell", parent=body, fontSize=10, leading=14, spaceAfter=0)
+    cell_head = ParagraphStyle(
+        "pdf-cell-head", parent=cell, textColor="#1f2328", fontSize=10
+    )
+    meta = ParagraphStyle("pdf-meta", parent=body, fontSize=8.5, leading=13, textColor="#57606a")
+    styles: dict[str, ParagraphStyle] = {
+        "body": body,
+        "title": title,
+        "quote": quote,
+        "code": code,
+        "math": math,
+        "cell": cell,
+        "cell_head": cell_head,
+        "meta": meta,
+    }
+    for level, size in _HEADING_SIZES.items():
+        styles[f"h{level}"] = ParagraphStyle(
+            f"pdf-h{level}",
+            parent=body,
+            fontSize=size,
+            leading=size * 1.4,
+            spaceBefore=14 if level <= 2 else 10,
+            spaceAfter=6,
+        )
+    return styles
+
+
+class PdfExporter:
+    """实现 DocumentExporter：递归渲染 Document AST 为 PDF 字节流。"""
+
+    def render(self, document: Document, options: ExportOptions) -> ExportResult:
+        """同步渲染；CPU 密集，调用方应放入线程执行，避免阻塞事件循环。"""
+        self._styles = _make_styles()
+        warnings: list[str] = []
+
+        page = _PAGE_SIZES.get((options.page_size or "A4").lower(), A4)
+        self._options = options
+        self._plot_budget = FunctionPlotBudget()
+        self._plot_renderer = FunctionPlotStaticRenderer()
+        # 内容区宽度（左右各 20mm 边距），供函数图像缩放适配页面
+        self._plot_width = page[0] - 40 * mm
+        buf = BytesIO()
+        doc = SimpleDocTemplate(
+            buf,
+            pagesize=page,
+            leftMargin=20 * mm,
+            rightMargin=20 * mm,
+            topMargin=18 * mm,
+            bottomMargin=18 * mm,
+            title=str(document.attributes.get("title") or "") or None,
+        )
+
+        story: list = []
+        self._render_header(document, options, story)
+        self._render_children(document.children, story, warnings)
+
+        doc.build(story)
+        return ExportResult(content=buf.getvalue(), mime_type=_MIME, warnings=warnings)
+
+    async def export(self, document: Document, options: ExportOptions) -> ExportResult:
+        """契约要求的 async 接口；渲染本身同步，直接转发到 render。"""
+        return self.render(document, options)
+
+    # --- 文档头部 ---
+    def _render_header(self, document: Document, options: ExportOptions, story: list) -> None:
+        title = str(document.attributes.get("title") or "")
+        if options.include_title and title:
+            story.append(Paragraph(_html.escape(title), self._styles["title"]))
+        if options.include_metadata:
+            metadata = document.attributes.get("metadata")
+            if metadata:
+                for key, value in metadata.items():
+                    text = f"{_html.escape(str(key))}: {_html.escape(format_meta_value(value))}"
+                    story.append(Paragraph(text, self._styles["meta"]))
+
+    # --- 块级 ---
+    def _render_children(self, children: list[DocumentNode], story: list, warnings: list[str]) -> None:
+        for child in children:
+            self._render_block(child, story, warnings)
+
+    def _render_block(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        handler = getattr(self, f"_block_{node.type}", None)
+        if handler is not None:
+            handler(node, story, warnings)
+        else:
+            warnings.append(f"无法表示的节点类型已跳过：{node.type}")
+
+    def _block_heading(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        level = max(1, min(6, int(node.attributes.get("level", 1))))
+        inline = self._render_inline(node.children, warnings)
+        story.append(Paragraph(inline, self._styles[f"h{level}"]))
+
+    def _block_paragraph(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        story.append(Paragraph(self._render_inline(node.children, warnings), self._styles["body"]))
+
+    def _block_blockquote(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        # 引用块的直接子节点是块级节点（paragraph/list 等），不能交给行内渲染器，
+        # 否则正文会被当作「无法表示的行内节点」丢弃；逐个渲染并继承引用缩进/颜色。
+        for child in node.children:
+            if child.type == "paragraph":
+                story.append(
+                    Paragraph(self._render_inline(child.children, warnings), self._styles["quote"])
+                )
+            elif child.type == "list":
+                self._block_list(child, story, warnings, indent=14, color=_QUOTE_COLOR)
+            else:
+                self._render_block(child, story, warnings)
+
+    def _block_list(
+        self,
+        node: DocumentNode,
+        story: list,
+        warnings: list[str],
+        indent: int = 14,
+        color: str | None = None,
+    ) -> None:
+        ordered = bool(node.attributes.get("ordered"))
+        for index, item in enumerate(node.children, start=1):
+            self._block_list_item(item, story, warnings, ordered, index, indent, color)
+
+    def _block_list_item(
+        self,
+        item: DocumentNode,
+        story: list,
+        warnings: list[str],
+        ordered: bool,
+        index: int,
+        indent: int,
+        color: str | None = None,
+    ) -> None:
+        if item.attributes.get("task"):
+            marker = "☑ " if item.attributes.get("checked") else "☐ "
+        else:
+            marker = f"{index}. " if ordered else "• "
+        style_kwargs: dict = dict(
+            parent=self._styles["body"],
+            leftIndent=indent,
+            firstLineIndent=-7,
+            spaceAfter=2,
+        )
+        if color:
+            style_kwargs["textColor"] = color
+        style = ParagraphStyle(f"pdf-li-{indent}-{color or 'normal'}", **style_kwargs)
+        # 按 AST 顺序逐段输出：正文暂存为行内标记文本，遇到嵌套列表先 flush 再递归、
+        # 之后继续后续正文，保持「父段—子列表—后续段」的原始顺序（而不是把所有正文
+        # 都挤到子列表之前）。直接行内节点（text/strong/link 等）走 _render_inline_node，
+        # 保留加粗/链接等语义，不能只渲染其 children 而丢掉格式。
+        parts: list[str] = []
+        first = True
+
+        def flush() -> None:
+            nonlocal first
+            text = "<br/>".join(parts)
+            if first:
+                text = marker + text
+                first = False
+            if text:
+                story.append(Paragraph(text, style))
+            parts.clear()
+
+        for child in item.children:
+            if child.type == "list":
+                flush()
+                self._block_list(child, story, warnings, indent + 14, color)
+            elif child.type == "paragraph":
+                parts.append(self._render_inline(child.children, warnings))
+            else:
+                parts.append(self._render_inline_node(child, warnings))
+        flush()
+
+    def _block_table(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        rows = node.children
+        if not rows:
+            return
+        data: list[list[Paragraph]] = []
+        head_row_count = 0
+        for row in rows:
+            head = bool(row.attributes.get("head"))
+            if head:
+                head_row_count += 1
+            cells = [
+                Paragraph(
+                    self._render_inline(cell.children, warnings),
+                    self._styles["cell_head" if cell.attributes.get("head") else "cell"],
+                )
+                for cell in row.children
+            ]
+            data.append(cells)
+        table = Table(data, repeatRows=head_row_count)
+        commands = [
+            ("GRID", (0, 0), (-1, -1), 0.5, "#d0d7de"),
+            ("VALIGN", (0, 0), (-1, -1), "TOP"),
+            ("LEFTPADDING", (0, 0), (-1, -1), 6),
+            ("RIGHTPADDING", (0, 0), (-1, -1), 6),
+            ("TOPPADDING", (0, 0), (-1, -1), 4),
+            ("BOTTOMPADDING", (0, 0), (-1, -1), 4),
+        ]
+        if head_row_count:
+            commands.append(("BACKGROUND", (0, 0), (-1, head_row_count - 1), "#f6f8fa"))
+        table.setStyle(TableStyle(commands))
+        story.append(table)
+
+    def _block_code_block(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        story.append(Preformatted(node.text, self._styles["code"]))
+
+    def _block_thematic_break(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        story.append(Spacer(1, 4))
+        story.append(HRFlowable(width="100%", color="#d0d7de", thickness=0.5))
+        story.append(Spacer(1, 6))
+
+    def _block_mermaid(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        warnings.append(MERMAID_WARNING)
+        story.append(Preformatted(node.text, self._styles["code"]))
+
+    def _block_function_plot(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        # 文档级数量上限：超出部分直接回退占位，不解析不采样，防止海量图像耗尽资源
+        over = self._plot_budget.check_count()
+        if over is not None:
+            warnings.append(over)
+            story.append(Preformatted(node.text, self._styles["code"]))
+            return
+        # 解析与渲染共同纳入局部异常回退：单个图像失败只回退占位 + warning，
+        # 绝不阻断整篇导出（含复杂表达式触发的 RecursionError 等异常）。
+        try:
+            request = StaticRenderRequest(
+                kind="function_plot", source=node.text, theme=self._options.theme_id
+            )
+            parsed = self._plot_renderer.parse(request)
+            for diag in parsed.diagnostics:
+                warnings.append(format_plot_diagnostic(diag))
+            if parsed.plot is None:
+                story.append(Preformatted(node.text, self._styles["code"]))
+                return
+            # 文档级累计复杂度预算：超出后回退占位，不再采样求值
+            over = self._plot_budget.check_nodes(parsed.plot.node_count)
+            if over is not None:
+                warnings.append(over)
+                story.append(Preformatted(node.text, self._styles["code"]))
+                return
+            # Drawing 本身即 Flowable，缩放后追加到 story，与 HTML 视觉一致
+            drawing = render_drawing(parsed.plot, width=self._plot_width)
+            story.append(drawing)
+        except Exception as exc:
+            warnings.append(f"函数图像：解析或渲染失败，已回退占位（{exc}）")
+            story.append(Preformatted(node.text, self._styles["code"]))
+
+    def _block_math_block(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        story.append(Paragraph(f"$${_html.escape(node.text)}$$", self._styles["math"]))
+
+    def _block_html_block(self, node: DocumentNode, story: list, warnings: list[str]) -> None:
+        # 原始 HTML 不可信，按纯文本保留正文
+        warnings.append(RAW_HTML_WARNING)
+        story.append(Paragraph(_html.escape(node.text), self._styles["body"]))
+
+    # --- 行内（产出 reportlab Paragraph 标记文本） ---
+    def _render_inline(self, children: list[DocumentNode], warnings: list[str]) -> str:
+        return "".join(self._render_inline_node(child, warnings) for child in children)
+
+    def _render_inline_node(self, node: DocumentNode, warnings: list[str]) -> str:
+        t = node.type
+        if t == "text":
+            return _html.escape(node.text)
+        if t in ("strong", "emphasis"):
+            return self._render_inline(node.children, warnings)
+        if t == "codespan":
+            return f'<font size="9">{_html.escape(node.text)}</font>'
+        if t == "link":
+            inner = self._render_inline(node.children, warnings)
+            href = str(node.attributes.get("href") or "")
+            safe_href = safe_url(href)
+            if safe_href is None:
+                warnings.append(f"链接协议不安全，已降级为纯文本：{href!r}")
+                return inner
+            return f'<a href="{_html.escape(safe_href)}">{inner}</a>'
+        if t == "image":
+            src = str(node.attributes.get("src") or "")
+            alt = str(node.attributes.get("alt") or "")
+            if safe_url(src) is None:
+                warnings.append(f"图片地址不安全，已跳过：{src!r}")
+            else:
+                warnings.append("图片未内嵌到 PDF，已用替代文本表示")
+            return _html.escape(alt) if alt else ""
+        if t == "math_inline":
+            return f"\\({_html.escape(node.text)}\\)"
+        if t == "linebreak":
+            return "<br/>"
+        warnings.append(f"无法表示的行内节点已跳过：{t}")
+        return ""
diff --git a/backend/app/export/markdown.py b/backend/app/export/markdown.py
new file mode 100644
index 0000000..bf9934d
--- /dev/null
+++ b/backend/app/export/markdown.py
@@ -0,0 +1,229 @@
+"""Markdown → Document AST：用 mistune 的 ast renderer 产出通用 token，再映射为内部节点。
+
+选用 mistune 内置 'ast' renderer 而非自写 BaseRenderer，是因为 mistune 的行内渲染按
+字符串拼接、无法承载结构化子节点；ast renderer 直接给出带 children/attrs/raw 的 token
+树，映射层只做 token → DocumentNode 的搬运，不掺入任何 HTML。
+"""
+
+from __future__ import annotations
+
+import mistune
+
+from app.export.document import Document, DocumentNode
+
+_PLUGINS = ["table", "math", "url", "task_lists"]
+
+# fenced code 语言分流：命中则转为专用节点，其余按普通代码块
+_MERMAID_LANG = "mermaid"
+_FUNCTION_PLOT_LANGS = {"function-plot", "function_plot", "functionplot"}
+
+
+def parse_document(markdown: str) -> Document:
+    """把 Markdown 文本解析为 Document AST 根节点。"""
+    renderer = mistune.create_markdown(renderer="ast", plugins=_PLUGINS)
+    tokens = renderer(markdown)
+    mapper = _AstMapper()
+    return Document(node_id=mapper.next_id(), children=mapper.map_blocks(tokens))
+
+
+class _AstMapper:
+    """token 树 → DocumentNode 树的映射器；node_id 按遍历顺序递增，无需跨请求稳定。"""
+
+    def __init__(self) -> None:
+        self._seq = 0
+
+    def next_id(self) -> str:
+        self._seq += 1
+        return f"node_{self._seq:03d}"
+
+    def map_blocks(self, tokens: list[dict]) -> list[DocumentNode]:
+        nodes: list[DocumentNode] = []
+        for token in tokens:
+            node = self.map_block(token)
+            if node is not None:
+                nodes.append(node)
+        return nodes
+
+    def map_block(self, token: dict) -> DocumentNode | None:
+        kind = token["type"]
+        if kind == "heading":
+            return DocumentNode(
+                type="heading",
+                node_id=self.next_id(),
+                attributes={"level": token["attrs"]["level"]},
+                children=self.map_inline(token.get("children", [])),
+            )
+        if kind in ("paragraph", "block_text"):
+            # block_text 是列表项内的段落块，仍按 paragraph 表达，由 list_item 包裹
+            return DocumentNode(
+                type="paragraph",
+                node_id=self.next_id(),
+                children=self.map_inline(token.get("children", [])),
+            )
+        if kind == "list":
+            return DocumentNode(
+                type="list",
+                node_id=self.next_id(),
+                attributes={"ordered": bool(token.get("attrs", {}).get("ordered"))},
+                children=[self.map_list_item(child) for child in token.get("children", [])],
+            )
+        if kind == "block_code":
+            return self._map_code(token)
+        if kind == "block_quote":
+            return DocumentNode(
+                type="blockquote",
+                node_id=self.next_id(),
+                children=self.map_blocks(token.get("children", [])),
+            )
+        if kind == "table":
+            return self._map_table(token)
+        if kind == "block_math":
+            return DocumentNode(
+                type="math_block", node_id=self.next_id(), text=token.get("raw", "")
+            )
+        if kind == "thematic_break":
+            return DocumentNode(type="thematic_break", node_id=self.next_id())
+        if kind == "blank_line":
+            return None
+        if kind == "block_html":
+            # 原始 HTML 块降级为纯文本节点，由 HtmlExporter 转义并记 warning，避免静默丢失正文
+            return DocumentNode(
+                type="html_block", node_id=self.next_id(), text=token.get("raw", "")
+            )
+        # 未知块级 token 保守保留原文；映射为带 text 子节点的 paragraph，避免被渲染层丢弃
+        raw = token.get("raw", "")
+        if raw:
+            return DocumentNode(
+                type="paragraph",
+                node_id=self.next_id(),
+                children=[DocumentNode(type="text", node_id=self.next_id(), text=raw)],
+            )
+        return None
+
+    def map_list_item(self, token: dict) -> DocumentNode:
+        """列表项：block_text 展平为行内子节点，嵌套 list 保留为子节点。"""
+        attributes: dict = {}
+        if token["type"] == "task_list_item":
+            attributes = {"task": True, "checked": bool(token.get("attrs", {}).get("checked"))}
+        children: list[DocumentNode] = []
+        for child in token.get("children", []):
+            if child["type"] == "block_text":
+                children.extend(self.map_inline(child.get("children", [])))
+            elif child["type"] == "list":
+                children.append(self.map_block(child))
+            else:
+                node = self.map_block(child)
+                if node is not None:
+                    children.append(node)
+        return DocumentNode(
+            type="list_item", node_id=self.next_id(), attributes=attributes, children=children
+        )
+
+    def map_inline(self, tokens: list[dict]) -> list[DocumentNode]:
+        nodes: list[DocumentNode] = []
+        for token in tokens:
+            node = self.map_inline_token(token)
+            if node is not None:
+                nodes.append(node)
+        return nodes
+
+    def map_inline_token(self, token: dict) -> DocumentNode | None:
+        kind = token["type"]
+        if kind == "text":
+            return DocumentNode(type="text", node_id=self.next_id(), text=token.get("raw", ""))
+        if kind == "strong":
+            return DocumentNode(
+                type="strong", node_id=self.next_id(),
+                children=self.map_inline(token.get("children", [])),
+            )
+        if kind == "emphasis":
+            return DocumentNode(
+                type="emphasis", node_id=self.next_id(),
+                children=self.map_inline(token.get("children", [])),
+            )
+        if kind == "link":
+            attrs = token.get("attrs", {})
+            attributes = {"href": attrs.get("url", "")}
+            if attrs.get("title"):
+                attributes["title"] = attrs["title"]
+            return DocumentNode(
+                type="link", node_id=self.next_id(), attributes=attributes,
+                children=self.map_inline(token.get("children", [])),
+            )
+        if kind == "codespan":
+            return DocumentNode(type="codespan", node_id=self.next_id(), text=token.get("raw", ""))
+        if kind == "image":
+            # mistune 图片 token：src 在 attrs.url，alt 来自 children 的文本，title 在 attrs.title
+            attrs = token.get("attrs", {})
+            alt = "".join(
+                child.get("raw", "")
+                for child in token.get("children", [])
+                if child.get("type") == "text"
+            )
+            attributes = {"src": attrs.get("url", "")}
+            if alt:
+                attributes["alt"] = alt
+            if attrs.get("title"):
+                attributes["title"] = attrs["title"]
+            return DocumentNode(type="image", node_id=self.next_id(), attributes=attributes)
+        if kind == "inline_math":
+            return DocumentNode(
+                type="math_inline", node_id=self.next_id(), text=token.get("raw", "")
+            )
+        if kind == "softbreak":
+            # HTML 中换行会折叠为空白，软换行按空格表达
+            return DocumentNode(type="text", node_id=self.next_id(), text=" ")
+        if kind == "linebreak":
+            return DocumentNode(type="linebreak", node_id=self.next_id())
+        # 未知行内 token 保守保留原文
+        raw = token.get("raw", "")
+        if raw:
+            return DocumentNode(type="text", node_id=self.next_id(), text=raw)
+        return None
+
+    def _map_code(self, token: dict) -> DocumentNode:
+        info = (token.get("attrs", {}).get("info") or "").strip()
+        lang = info.split()[0].lower() if info else ""
+        code = token.get("raw", "").rstrip("\n")
+        if lang == _MERMAID_LANG:
+            return DocumentNode(type="mermaid", node_id=self.next_id(), text=code)
+        if lang in _FUNCTION_PLOT_LANGS:
+            return DocumentNode(type="function_plot", node_id=self.next_id(), text=code)
+        attributes = {"language": lang} if lang else {}
+        return DocumentNode(
+            type="code_block", node_id=self.next_id(), attributes=attributes, text=code
+        )
+
+    def _map_table(self, token: dict) -> DocumentNode:
+        rows: list[DocumentNode] = []
+        for child in token.get("children", []):
+            if child["type"] == "table_head":
+                rows.append(self._map_table_row(child, head=True))
+            elif child["type"] == "table_body":
+                for row in child.get("children", []):
+                    if row["type"] == "table_row":
+                        rows.append(self._map_table_row(row, head=False))
+            elif child["type"] == "table_row":
+                rows.append(self._map_table_row(child, head=False))
+        return DocumentNode(type="table", node_id=self.next_id(), children=rows)
+
+    def _map_table_row(self, token: dict, *, head: bool) -> DocumentNode:
+        cells: list[DocumentNode] = []
+        for cell in token.get("children", []):
+            if cell["type"] != "table_cell":
+                continue
+            attrs = cell.get("attrs", {})
+            cell_attributes = {"head": bool(attrs.get("head", head))}
+            if attrs.get("align"):
+                cell_attributes["align"] = attrs["align"]
+            cells.append(
+                DocumentNode(
+                    type="table_cell",
+                    node_id=self.next_id(),
+                    attributes=cell_attributes,
+                    children=self.map_inline(cell.get("children", [])),
+                )
+            )
+        return DocumentNode(
+            type="table_row", node_id=self.next_id(), attributes={"head": head}, children=cells
+        )
diff --git a/backend/app/export/service.py b/backend/app/export/service.py
new file mode 100644
index 0000000..10666eb
--- /dev/null
+++ b/backend/app/export/service.py
@@ -0,0 +1,391 @@
+"""Export 服务：任务注册表、后台渲染、取消与产物生命周期。
+
+与 Benchmark 一致采用「创建即返回 queued、后台 Task 异步执行」的内存模型：任务与产物
+暂存内存与 exports 目录，不持久化到 SQLite。导出是单阶段渲染，无 SSE 事件流，取消主要
+在渲染前/后让出执行权的边界生效；产物带 24h 过期时间，过期后不可下载。
+"""
+
+from __future__ import annotations
+
+import asyncio
+import hashlib
+import logging
+import re
+from datetime import datetime, timedelta, timezone
+from pathlib import Path
+from uuid import uuid4
+
+from app.config import get_settings
+from app.contracts import (
+    ExportFile,
+    ExportFormat,
+    ExportJob,
+    ExportOptions,
+    ExportProgress,
+    ExportRequest,
+    ExportSource,
+    ExportSourceType,
+    ExportStatus,
+)
+from app.errors import ApiError
+from app.export.document import Document, ExportResult
+from app.export.exporters.docx import DocxExporter
+from app.export.exporters.html import HtmlExporter
+from app.export.exporters.pdf import PdfExporter
+from app.export.markdown import parse_document
+from app.services import note_service
+
+logger = logging.getLogger(__name__)
+
+_jobs: dict[str, ExportJob] = {}
+_tasks: dict[str, asyncio.Task] = {}
+_cancel_flags: dict[str, asyncio.Event] = {}
+MAX_JOBS = 100
+# 输入源（note / markdown）统一大小上限，防止未保存预览或超长笔记塞爆内存/产物
+MAX_MARKDOWN_CHARS = 200_000
+# 最终导出产物大小上限，防止超大 HTML 耗尽内存/磁盘
+MAX_EXPORT_BYTES = 20 * 1024 * 1024  # 20 MB
+# 并发渲染上限：解析/渲染是 CPU 密集的同步工作，限制同时执行的任务数，
+# 防止大量任务同时占满工作线程与内存
+MAX_CONCURRENT_RENDERS = 2
+_render_slots = asyncio.Semaphore(MAX_CONCURRENT_RENDERS)
+# 产物有效期
+FILE_TTL = timedelta(hours=24)
+
+_INVALID_FILE_CHARS = re.compile(r'[\\/:*?"<>|]')
+
+# 格式 → 导出器；新增格式只需在此登记，路由与任务模型无需改动
+_EXPORTERS: dict[ExportFormat, type] = {
+    ExportFormat.html: HtmlExporter,
+    ExportFormat.pdf: PdfExporter,
+    ExportFormat.docx: DocxExporter,
+}
+
+# 格式 → 文件扩展名（用于落盘文件名与产物清理）
+_EXTENSIONS: dict[ExportFormat, str] = {
+    ExportFormat.html: ".html",
+    ExportFormat.pdf: ".pdf",
+    ExportFormat.docx: ".docx",
+}
+
+
+def _extension_for(format: ExportFormat) -> str:
+    return _EXTENSIONS[format]
+
+
+class ExportCancelled(Exception):
+    """导出在渲染前被取消时抛出，用于标记 cancelled。"""
+
+
+class ExportTooLarge(Exception):
+    """导出产物超过大小上限时抛出，用于标记 failed 并携带专用错误码。"""
+
+
+def _now() -> datetime:
+    return datetime.now(timezone.utc)
+
+
+def _safe_download_name(title: str) -> str:
+    """清洗标题得到安全的下载文件名；空标题回退到 export。"""
+    name = _INVALID_FILE_CHARS.sub("_", title).strip() or "export"
+    return name[:80]
+
+
+def _export_path(job_id: str, ext: str) -> Path:
+    return get_settings().exports_path / f"{job_id}{ext}"
+
+
+def _delete_file(job_id: str, ext: str) -> None:
+    """删除导出产物文件；文件不存在时忽略。"""
+    try:
+        _export_path(job_id, ext).unlink(missing_ok=True)
+    except OSError:
+        logger.warning("Failed to delete export file: %s", job_id)
+
+
+def cleanup_orphan_files() -> int:
+    """清理 exports 目录下无对应内存任务的孤立产物（服务重启后调用）。"""
+    exports_dir = get_settings().exports_path
+    if not exports_dir.is_dir():
+        return 0
+    removed = 0
+    for ext in _EXTENSIONS.values():
+        for path in exports_dir.glob(f"*{ext}"):
+            if path.stem not in _jobs:
+                try:
+                    path.unlink()
+                    removed += 1
+                except OSError:
+                    logger.warning("Failed to delete orphan export file: %s", path)
+    return removed
+
+
+def _render_document(document: Document, options: ExportOptions, format: ExportFormat) -> ExportResult:
+    """按 format 分发到对应导出器；每次新建实例避免跨线程复用。"""
+    exporter_cls = _EXPORTERS[format]
+    return exporter_cls().render(document, options)
+
+
+def _forget(job_id: str) -> None:
+    job = _jobs.get(job_id)
+    ext = _extension_for(job.format) if job is not None else ".html"
+    _jobs.pop(job_id, None)
+    _tasks.pop(job_id, None)
+    _cancel_flags.pop(job_id, None)
+    _delete_file(job_id, ext)
+
+
+def _evict_terminal() -> bool:
+    """超过容量时淘汰最旧的终态任务；全为活动任务无法淘汰时返回 False。"""
+    terminal = (ExportStatus.completed, ExportStatus.failed, ExportStatus.cancelled)
+    while len(_jobs) >= MAX_JOBS:
+        victim = next((jid for jid, job in _jobs.items() if job.status in terminal), None)
+        if victim is None:
+            return False
+        _forget(victim)
+    return True
+
+
+async def _resolve_source(source: ExportSource) -> tuple[str, str, dict | None]:
+    """把导出源解析为 (markdown, title, metadata)；metadata 仅 note 源提供。"""
+    if source.type == ExportSourceType.note:
+        note = await note_service.get_note(source.note_id)
+        if note is None:
+            raise ApiError(
+                404,
+                "EXPORT_SOURCE_NOT_FOUND",
+                "note not found",
+                {"note_id": source.note_id},
+            )
+        if len(note.markdown) > MAX_MARKDOWN_CHARS:
+            raise ApiError(
+                400,
+                "EXPORT_OPTIONS_INVALID",
+                f"note source exceeds {MAX_MARKDOWN_CHARS} characters",
+                {"size": len(note.markdown), "limit": MAX_MARKDOWN_CHARS},
+            )
+        metadata = {
+            "file_path": note.file_path,
+            "tags": note.tags,
+            "created_at": note.created_at,
+            "updated_at": note.updated_at,
+        }
+        return note.markdown, note.title, metadata
+
+    markdown = source.markdown or ""
+    if not markdown.strip():
+        raise ApiError(400, "EXPORT_OPTIONS_INVALID", "markdown source must not be empty")
+    if len(markdown) > MAX_MARKDOWN_CHARS:
+        raise ApiError(
+            400,
+            "EXPORT_OPTIONS_INVALID",
+            f"markdown source exceeds {MAX_MARKDOWN_CHARS} characters",
+            {"size": len(markdown), "limit": MAX_MARKDOWN_CHARS},
+        )
+    return markdown, "", None
+
+
+async def create_export(request: ExportRequest) -> ExportJob:
+    """创建导出任务，立即返回 queued 的 ExportJob，由后台 Task 渲染。"""
+    markdown, title, metadata = await _resolve_source(request.source)
+
+    if not _evict_terminal():
+        raise ApiError(
+            429,
+            "EXPORT_CAPACITY_EXCEEDED",
+            "Export capacity exceeded; wait for active jobs to finish.",
+            {},
+        )
+
+    job_id = "export_" + uuid4().hex[:12]
+    job = ExportJob(
+        job_id=job_id,
+        status=ExportStatus.queued,
+        format=request.format,
+        created_at=_now(),
+    )
+    _jobs[job_id] = job
+    _cancel_flags[job_id] = asyncio.Event()
+    _tasks[job_id] = asyncio.create_task(
+        _execute(job_id, request.format, markdown, title, metadata, request.options)
+    )
+    return job
+
+
+async def _acquire_render_slot(cancel_event: asyncio.Event) -> bool:
+    """等待渲染槽位，同时响应取消：拿到槽位返回 True，被取消返回 False。
+
+    等待期间任务保持 queued；取消即时生效，不必等前面的渲染完成。
+    """
+    while True:
+        if cancel_event.is_set():
+            return False
+        acquire = asyncio.create_task(_render_slots.acquire())
+        cancel_wait = asyncio.create_task(cancel_event.wait())
+        done, pending = await asyncio.wait(
+            (acquire, cancel_wait), return_when=asyncio.FIRST_COMPLETED
+        )
+        if acquire in done:
+            # 拿到槽位；收掉仍在等待取消标志的任务（不释放刚拿到的槽位）
+            for task in pending:
+                task.cancel()
+            await asyncio.gather(*pending, return_exceptions=True)
+            return True
+        # 取消先到：取消尚未完成的 acquire（Semaphore.acquire 取消不会递减计数）
+        acquire.cancel()
+        cancel_wait.cancel()
+        await asyncio.gather(acquire, cancel_wait, return_exceptions=True)
+        return False
+
+
+async def _execute(
+    job_id: str,
+    format: ExportFormat,
+    markdown: str,
+    title: str,
+    metadata: dict | None,
+    options: ExportOptions,
+) -> None:
+    """后台渲染：排队 → 解析 → 导出 → 写文件 → 挂载产物元信息。"""
+    cancel_event = _cancel_flags[job_id]
+    acquired = False
+    try:
+        # 并发渲染限额：解析/渲染是 CPU 密集的同步工作，用信号量限制同时执行的任务数。
+        # 等待槽位期间保持 queued 并同时监听取消，取消即时生效，不必等前面的渲染完成。
+        if not await _acquire_render_slot(cancel_event):
+            raise ExportCancelled()
+        acquired = True
+
+        # 拿到槽位后才进入 running
+        _jobs[job_id] = _jobs[job_id].model_copy(
+            update={
+                "status": ExportStatus.running,
+                "started_at": _now(),
+                "progress": ExportProgress(phase="rendering", current=0, total=1, percent=0.0),
+            }
+        )
+        # 让出一次，使「创建后立即取消」的 queued 任务能及时进入 cancelled
+        await asyncio.sleep(0)
+        if cancel_event.is_set():
+            raise ExportCancelled()
+
+        # 解析与渲染都是 CPU 密集的同步工作，放入线程执行避免阻塞事件循环，
+        # 使运行中的取消能在渲染边界生效；写文件前再次检查取消。
+        document = await asyncio.to_thread(parse_document, markdown)
+        document.attributes["title"] = title
+        if metadata:
+            document.attributes["metadata"] = metadata
+
+        result = await asyncio.to_thread(_render_document, document, options, format)
+        if cancel_event.is_set():
+            raise ExportCancelled()
+        if len(result.content) > MAX_EXPORT_BYTES:
+            raise ExportTooLarge()
+
+        ext = _extension_for(format)
+        out_dir = get_settings().exports_path
+        out_dir.mkdir(parents=True, exist_ok=True)
+        path = _export_path(job_id, ext)
+        path.write_bytes(result.content)
+
+        completed_at = _now()
+        _jobs[job_id] = _jobs[job_id].model_copy(
+            update={
+                "status": ExportStatus.completed,
+                "progress": ExportProgress(
+                    phase="completed", current=1, total=1, percent=1.0
+                ),
+                "file": ExportFile(
+                    file_name=f"{_safe_download_name(title)}{ext}",
+                    mime_type=result.mime_type,
+                    size=len(result.content),
+                    sha256=hashlib.sha256(result.content).hexdigest(),
+                    expires_at=completed_at + FILE_TTL,
+                ),
+                "warnings": result.warnings,
+                "completed_at": completed_at,
+            }
+        )
+    except ExportCancelled:
+        _jobs[job_id] = _jobs[job_id].model_copy(
+            update={
+                "status": ExportStatus.cancelled,
+                "completed_at": _now(),
+            }
+        )
+    except ExportTooLarge:
+        _jobs[job_id] = _jobs[job_id].model_copy(
+            update={
+                "status": ExportStatus.failed,
+                "error": "Export output exceeds size limit.",
+                "error_code": "EXPORT_OUTPUT_TOO_LARGE",
+                "completed_at": _now(),
+            }
+        )
+    except Exception as exc:  # 渲染失败不拖垮服务，只记日志与项目错误码
+        logger.exception("Export failed: job_id=%s", job_id)
+        _jobs[job_id] = _jobs[job_id].model_copy(
+            update={
+                "status": ExportStatus.failed,
+                "error": "Export render failed.",
+                "error_code": "EXPORT_RENDER_FAILED",
+                "completed_at": _now(),
+            }
+        )
+    finally:
+        if acquired:
+            _render_slots.release()
+        _cancel_flags.pop(job_id, None)
+
+
+def list_exports(
+    status: ExportStatus | None = None,
+    format: ExportFormat | None = None,
+    limit: int = 50,
+    offset: int = 0,
+) -> tuple[list[ExportJob], int]:
+    jobs = list(_jobs.values())
+    if status is not None:
+        jobs = [j for j in jobs if j.status == status]
+    if format is not None:
+        jobs = [j for j in jobs if j.format == format]
+    jobs.sort(key=lambda j: j.created_at, reverse=True)
+    total = len(jobs)
+    return jobs[offset : offset + limit], total
+
+
+def get_export(job_id: str) -> ExportJob | None:
+    return _jobs.get(job_id)
+
+
+def cancel_export(job_id: str) -> ExportJob | None:
+    """取消导出：仅 queued/running 可取消，后台 Task 在让出边界标记 cancelled。"""
+    job = _jobs.get(job_id)
+    if job is None:
+        return None
+    if job.status in (ExportStatus.queued, ExportStatus.running):
+        _cancel_flags[job_id].set()
+    return job
+
+
+def get_export_file(job_id: str) -> Path:
+    """返回可下载产物的存储路径；未完成返回 404、过期返回 410。"""
+    job = _jobs.get(job_id)
+    if job is None:
+        raise ApiError(404, "EXPORT_JOB_NOT_FOUND", "export job not found", {"job_id": job_id})
+    if job.status != ExportStatus.completed or job.file is None:
+        raise ApiError(
+            404, "EXPORT_JOB_NOT_FOUND", "export file not ready", {"job_id": job_id}
+        )
+    if job.file.expires_at <= _now():
+        _forget(job_id)  # 过期即清理内存记录与产物文件
+        raise ApiError(410, "EXPORT_FILE_EXPIRED", "export file has expired", {"job_id": job_id})
+    return _export_path(job_id, _extension_for(job.format))
+
+
+async def wait_for_export(job_id: str) -> ExportJob | None:
+    """等待后台任务结束（测试/轮询用）；无任务时直接返回当前状态。"""
+    task = _tasks.get(job_id)
+    if task is not None:
+        await task
+    return _jobs.get(job_id)
diff --git a/backend/app/main.py b/backend/app/main.py
index c47593e..c9e0651 100644
--- a/backend/app/main.py
+++ b/backend/app/main.py
@@ -11,6 +11,7 @@ from starlette.exceptions import HTTPException as StarletteHttpException
 from app.config import get_settings
 from app.container import container
 from app.errors import ApiError, api_error_handler, http_error_handler, validation_error_handler
+from app.export import service as export_service
 from app.routes import router as api_router
 from app.media_routes import router as media_router
 from app.local_model_routes import router as local_model_router
@@ -27,6 +28,8 @@ settings = get_settings()
 async def lifespan(_: FastAPI):
     install_logging()
     log_event('system', 'service.started')
+    # 重启后内存注册表为空，清理上一次运行遗留的导出产物，避免磁盘垃圾堆积。
+    export_service.cleanup_orphan_files()
     from app.services import transcription_service
     transcription_service.recover_interrupted()
     try:
@@ -41,6 +44,7 @@ async def lifespan(_: FastAPI):
         from app.local_models import manager
         for _, key in list(manager._downloads):
             await manager.cancel_download(key)
+        # 第三方 MCP Server 必须跟随 AI Core 退出，不能遗留孤儿进程。
         container.plugins.shutdown()
         container.mcp_servers.shutdown()
         log_event('system', 'service.stopped')
diff --git a/backend/app/plot/__init__.py b/backend/app/plot/__init__.py
new file mode 100644
index 0000000..2bf1044
--- /dev/null
+++ b/backend/app/plot/__init__.py
@@ -0,0 +1,7 @@
+"""Function Plot：函数图像的白名单表达式解析与静态 SVG 渲染。
+
+模块划分：
+- model.py    FunctionPlot 等内部数据模型（不进 contracts.py，同 Document AST）
+- parser.py   function-plot 源码与表达式解析（ast 白名单，绝不 eval/exec）
+- render.py   把 FunctionPlot 渲染为内嵌 SVG（纯几何 + <text>，无脚本）
+"""
diff --git a/backend/app/plot/model.py b/backend/app/plot/model.py
new file mode 100644
index 0000000..f11273e
--- /dev/null
+++ b/backend/app/plot/model.py
@@ -0,0 +1,57 @@
+"""Function Plot 内部数据模型。
+
+契约 §12.2 的 FunctionPlot 结构与 §10.4 的 StaticRenderResult 只在导出链路的后端内部
+流转，不进入 HTTP 契约，因此与 Document AST 一样放在独立包内，不进 contracts.py。
+"""
+
+from __future__ import annotations
+
+from typing import Literal
+
+from pydantic import BaseModel, Field
+
+
+class FunctionPlotExpression(BaseModel):
+    """单条函数表达式；expression 为数学表达式文本（不含 ``y =`` 前缀）。"""
+
+    expression: str
+    label: str | None = None
+    color: str | None = None
+
+
+class PlotAxes(BaseModel):
+    xlabel: str | None = None
+    ylabel: str | None = None
+    grid: bool = True
+
+
+class FunctionPlot(BaseModel):
+    version: int = 1
+    expressions: list[FunctionPlotExpression]
+    domain: tuple[float, float] = (-10.0, 10.0)
+    range: tuple[float, float] | None = None
+    axes: PlotAxes = Field(default_factory=PlotAxes)
+    # 该块所有表达式 AST 节点数之和，供导出器做文档级累计复杂度预算
+    node_count: int = 0
+
+
+class PlotDiagnostic(BaseModel):
+    severity: Literal["warning", "error"]
+    code: str
+    message: str
+    line: int | None = None
+
+
+class FunctionPlotParseResult(BaseModel):
+    """解析结果：任一表达式 error 时 plot 为 None（整块回退占位），仅 warning 时 plot 有效。"""
+
+    plot: FunctionPlot | None = None
+    diagnostics: list[PlotDiagnostic] = Field(default_factory=list)
+
+
+class StaticRenderResult(BaseModel):
+    content: str
+    mime_type: str = "image/svg+xml"
+    width: int
+    height: int
+    warnings: list[str] = Field(default_factory=list)
diff --git a/backend/app/plot/parser.py b/backend/app/plot/parser.py
new file mode 100644
index 0000000..4dab231
--- /dev/null
+++ b/backend/app/plot/parser.py
@@ -0,0 +1,412 @@
+"""Function Plot 表达式解析：白名单数学语法，绝不执行 eval / 函数构造器 / 属性访问。
+
+安全模型：先用 ``ast.parse(mode='eval')`` 把表达式变成纯 AST（这一步不执行任何代码），
+再逐节点白名单校验（只允许数字、变量 ``x``、常量 ``pi/e``、白名单函数调用与四则/幂
+运算），最后用递归解释器直接计算数值——全程不 ``compile``/``exec`` 字符串。
+"""
+
+from __future__ import annotations
+
+import ast
+import math
+import re
+from typing import NoReturn
+
+from app.plot.model import (
+    FunctionPlot,
+    FunctionPlotExpression,
+    FunctionPlotParseResult,
+    PlotAxes,
+    PlotDiagnostic,
+)
+
+# 白名单函数（ln 是 log 的别名）；abs 用内置函数，其余映射到 math
+_FUNCTION_IMPL: dict[str, object] = {
+    "sin": math.sin,
+    "cos": math.cos,
+    "tan": math.tan,
+    "asin": math.asin,
+    "acos": math.acos,
+    "atan": math.atan,
+    "sinh": math.sinh,
+    "cosh": math.cosh,
+    "tanh": math.tanh,
+    "exp": math.exp,
+    "log": math.log,
+    "ln": math.log,
+    "log10": math.log10,
+    "log2": math.log2,
+    "sqrt": math.sqrt,
+    "abs": abs,
+}
+_FUNCTIONS = frozenset(_FUNCTION_IMPL)
+_CONSTANTS: dict[str, float] = {"pi": math.pi, "e": math.e}
+
+_ALLOWED_BINOPS = (ast.Add, ast.Sub, ast.Mult, ast.Div, ast.Pow)
+_ALLOWED_UNARY = (ast.UAdd, ast.USub)
+_DIRECTIVE_KEYS = frozenset({"domain", "range", "xlabel", "ylabel", "grid"})
+_NUMBER_RE = re.compile(r"^(\d+\.?\d*|\.\d+)([eE][+-]?\d+)?$")
+
+# 表达式复杂度上限：深层嵌套或海量节点在递归校验/求值时会触发 RecursionError，
+# 用白名单校验提前拦截，保证失败走正常诊断路径而不是异常逃逸出导出链路。
+_MAX_AST_DEPTH = 200
+_MAX_AST_NODES = 1000
+# 单块 function-plot 允许的表达式数量上限，防止海量表达式导致超大 SVG 与海量采样求值
+_MAX_EXPRESSIONS = 16
+
+
+class PlotParseError(Exception):
+    """表达式解析/校验失败，携带可定位诊断。"""
+
+    def __init__(self, diagnostic: PlotDiagnostic) -> None:
+        super().__init__(diagnostic.message)
+        self.diagnostic = diagnostic
+
+
+def _unsafe(message: str) -> NoReturn:
+    raise PlotParseError(
+        PlotDiagnostic(severity="error", code="FUNCTION_PLOT_EXPRESSION_UNSAFE", message=message)
+    )
+
+
+def _is_number(tok: str) -> bool:
+    return bool(_NUMBER_RE.match(tok))
+
+
+def _tokenize(s: str) -> list[str]:
+    """把预处理后的表达式切成数字/标识符/运算符/括号 token。"""
+    tokens: list[str] = []
+    i = 0
+    n = len(s)
+    while i < n:
+        ch = s[i]
+        if ch.isspace():
+            i += 1
+            continue
+        if ch.isdigit() or ch == ".":
+            j = i
+            while j < n and (s[j].isdigit() or s[j] == "."):
+                j += 1
+            # 科学计数法：数字后紧跟 e/E[+-]数字 视为同一数字
+            if j < n and s[j] in "eE":
+                k = j + 1
+                if k < n and s[k] in "+-":
+                    k += 1
+                if k < n and s[k].isdigit():
+                    while k < n and s[k].isdigit():
+                        k += 1
+                    j = k
+            tokens.append(s[i:j])
+            i = j
+            continue
+        if ch.isalpha() or ch == "_":
+            j = i
+            while j < n and (s[j].isalnum() or s[j] == "_"):
+                j += 1
+            tokens.append(s[i:j])
+            i = j
+            continue
+        if ch == "*" and i + 1 < n and s[i + 1] == "*":
+            tokens.append("**")
+            i += 2
+            continue
+        tokens.append(ch)
+        i += 1
+    return tokens
+
+
+def _is_value_end(tok: str) -> bool:
+    """该 token 之后允许补乘号（数字/右括号/变量 x/常量）。"""
+    return tok == ")" or _is_number(tok) or tok == "x" or tok in _CONSTANTS
+
+
+def _is_value_start(tok: str) -> bool:
+    """该 token 可作为乘号右侧起点（左括号/数字/任意标识符，含函数名）。"""
+    return tok == "(" or _is_number(tok) or (tok and (tok[0].isalpha() or tok[0] == "_"))
+
+
+def _insert_implicit_multiplication(s: str) -> str:
+    """补隐式乘法：2x、2(x+1)、(x+1)(x-1)、x sin(x) 等；函数名后的 ``(`` 是调用不补。"""
+    tokens = _tokenize(s)
+    out: list[str] = []
+    prev: str | None = None
+    for tok in tokens:
+        if prev is not None and _is_value_end(prev) and _is_value_start(tok):
+            out.append("*")
+        out.append(tok)
+        prev = tok
+    return "".join(out)
+
+
+def _preprocess(expr: str) -> str:
+    """``^`` 视为幂，补隐式乘法后再交给 ast.parse。"""
+    return _insert_implicit_multiplication(expr.replace("^", "**"))
+
+
+def _check_node(node: ast.AST, depth: int = 0, counter: list[int] | None = None) -> None:
+    """白名单校验：任何越界节点都抛 FUNCTION_PLOT_EXPRESSION_UNSAFE。
+
+    同时限制 AST 深度与节点总数，避免超长/超深表达式在递归校验或求值时触发
+    RecursionError 而绕过解析失败路径。
+    """
+    if counter is None:
+        counter = [0]
+    if depth > _MAX_AST_DEPTH:
+        _unsafe(f"表达式嵌套过深（超过 {_MAX_AST_DEPTH} 层）")
+    counter[0] += 1
+    if counter[0] > _MAX_AST_NODES:
+        _unsafe(f"表达式过于复杂（节点数超过 {_MAX_AST_NODES}）")
+    if isinstance(node, ast.Constant):
+        if isinstance(node.value, bool) or not isinstance(node.value, (int, float)):
+            _unsafe(f"不支持的常量 {node.value!r}")
+        return
+    if isinstance(node, ast.Name):
+        if node.id == "x" or node.id in _CONSTANTS:
+            return
+        _unsafe(f"未知标识符 {node.id!r}")
+    if isinstance(node, ast.BinOp):
+        if not isinstance(node.op, _ALLOWED_BINOPS):
+            _unsafe(f"不支持的运算符 {type(node.op).__name__}")
+        _check_node(node.left, depth + 1, counter)
+        _check_node(node.right, depth + 1, counter)
+        return
+    if isinstance(node, ast.UnaryOp):
+        if not isinstance(node.op, _ALLOWED_UNARY):
+            _unsafe(f"不支持的运算符 {type(node.op).__name__}")
+        _check_node(node.operand, depth + 1, counter)
+        return
+    if isinstance(node, ast.Call):
+        if not isinstance(node.func, ast.Name) or node.func.id not in _FUNCTIONS:
+            _unsafe(f"不支持的函数调用 {ast.dump(node.func)!r}")
+        if node.keywords:
+            _unsafe("函数调用不支持关键字参数")
+        # 白名单内所有函数均恰取 1 个参数，提前校验避免求值期 TypeError
+        if len(node.args) != 1:
+            _unsafe(f"{node.func.id} 需要 1 个参数，实际 {len(node.args)} 个")
+        for arg in node.args:
+            _check_node(arg, depth + 1, counter)
+        return
+    _unsafe(f"不支持的语法 {type(node).__name__}")
+
+
+def parse_expression(expr: str) -> ast.Expression:
+    """把数学表达式解析为已通过白名单校验的 AST（可直接交给 evaluate）。"""
+    preprocessed = _preprocess(expr)
+    try:
+        tree = ast.parse(preprocessed, mode="eval")
+    except SyntaxError as exc:
+        raise PlotParseError(
+            PlotDiagnostic(
+                severity="error",
+                code="FUNCTION_PLOT_PARSE_FAILED",
+                message=f"表达式语法错误：{exc.msg}",
+            )
+        ) from exc
+    except RecursionError as exc:
+        # 极深嵌套可能在 ast.parse 阶段就触发 RecursionError，转为可定位诊断
+        raise PlotParseError(
+            PlotDiagnostic(
+                severity="error",
+                code="FUNCTION_PLOT_PARSE_FAILED",
+                message="表达式嵌套过深，无法解析",
+            )
+        ) from exc
+    _check_node(tree.body)
+    return tree
+
+
+def _count_nodes(node: ast.AST) -> int:
+    """统计已通过校验的表达式 AST 节点数，供文档级累计复杂度预算使用。"""
+    counter = [0]
+    _check_node(node, counter=counter)
+    return counter[0]
+
+
+def evaluate(expr_ast: ast.Expression, x: float) -> float:
+    """递归解释已校验 AST 得到数值，全程不编译/执行代码。"""
+    return _eval_node(expr_ast.body, x)
+
+
+def _eval_node(node: ast.AST, x: float) -> float:
+    if isinstance(node, ast.Constant):
+        return float(node.value)
+    if isinstance(node, ast.Name):
+        return x if node.id == "x" else _CONSTANTS[node.id]
+    if isinstance(node, ast.BinOp):
+        left = _eval_node(node.left, x)
+        right = _eval_node(node.right, x)
+        if isinstance(node.op, ast.Add):
+            return left + right
+        if isinstance(node.op, ast.Sub):
+            return left - right
+        if isinstance(node.op, ast.Mult):
+            return left * right
+        if isinstance(node.op, ast.Div):
+            return left / right
+        # 负数底 + 非整数指数会得到复数，数学绘图不支持，抛 ValueError 让采样点作为断点处理
+        if left < 0 and not right.is_integer():
+            raise ValueError("negative base with fractional exponent")
+        return left**right
+    if isinstance(node, ast.UnaryOp):
+        value = _eval_node(node.operand, x)
+        return -value if isinstance(node.op, ast.USub) else value
+    if isinstance(node, ast.Call):
+        args = [_eval_node(arg, x) for arg in node.args]
+        return _FUNCTION_IMPL[node.func.id](*args)  # type: ignore[operator]
+    raise ValueError("unreachable node")
+
+
+def _strip_comment(line: str) -> str:
+    return line.split("#", 1)[0].strip()
+
+
+def _parse_pair(value: str) -> tuple[float, float]:
+    """解析 ``min, max`` / ``min max`` 数值对。"""
+    parts = [p for p in re.split(r"[,，\s]+", value.strip()) if p]
+    if len(parts) != 2:
+        raise ValueError("需要两个数值")
+    return float(parts[0]), float(parts[1])
+
+
+def _parse_directive(line: str) -> tuple[str, str] | None:
+    """指令行形如 ``key: value``（表达式不含冒号，冒号是可靠判别）。"""
+    if ":" not in line or "=" in line:
+        return None
+    key, _, value = line.partition(":")
+    key = key.strip().lower()
+    if not key or " " in key:
+        return None
+    return key, value.strip()
+
+
+def parse_source(source: str) -> FunctionPlotParseResult:
+    """把 function-plot fenced block 源码解析为 FunctionPlot + 诊断。"""
+    diagnostics: list[PlotDiagnostic] = []
+    expressions: list[FunctionPlotExpression] = []
+    domain: tuple[float, float] = (-10.0, 10.0)
+    range_: tuple[float, float] | None = None
+    xlabel: str | None = None
+    ylabel: str | None = None
+    grid: bool = True
+    has_error = False
+    total_nodes = 0
+
+    for lineno, raw_line in enumerate(source.splitlines(), start=1):
+        line = raw_line.strip()
+        if not line or line.startswith("#"):
+            continue
+
+        directive = _parse_directive(line)
+        if directive is not None:
+            key, value = directive
+            if key == "domain":
+                try:
+                    domain = _parse_pair(value)
+                except ValueError:
+                    diagnostics.append(
+                        PlotDiagnostic(
+                            severity="warning",
+                            code="FUNCTION_PLOT_PARSE_FAILED",
+                            message=f"domain 需要两个数值，已忽略：{value!r}",
+                            line=lineno,
+                        )
+                    )
+            elif key == "range":
+                try:
+                    range_ = _parse_pair(value)
+                except ValueError:
+                    diagnostics.append(
+                        PlotDiagnostic(
+                            severity="warning",
+                            code="FUNCTION_PLOT_PARSE_FAILED",
+                            message=f"range 需要两个数值，已忽略：{value!r}",
+                            line=lineno,
+                        )
+                    )
+            elif key == "xlabel":
+                xlabel = value or None
+            elif key == "ylabel":
+                ylabel = value or None
+            elif key == "grid":
+                grid = value.lower() in ("true", "1", "yes", "on")
+            else:
+                diagnostics.append(
+                    PlotDiagnostic(
+                        severity="warning",
+                        code="FUNCTION_PLOT_PARSE_FAILED",
+                        message=f"未知指令 {key!r} 已忽略",
+                        line=lineno,
+                    )
+                )
+            continue
+
+        # 表达式行：y = <expr> 或裸 <expr>
+        expr_text = _strip_comment(line)
+        if not expr_text:
+            continue
+        if "=" in expr_text:
+            lhs, _, rhs = expr_text.partition("=")
+            if lhs.strip().lower() not in ("y", ""):
+                diagnostics.append(
+                    PlotDiagnostic(
+                        severity="error",
+                        code="FUNCTION_PLOT_PARSE_FAILED",
+                        message="表达式应形如 'y = <expr>'",
+                        line=lineno,
+                    )
+                )
+                has_error = True
+                continue
+            expr_text = rhs.strip()
+        if not expr_text:
+            diagnostics.append(
+                PlotDiagnostic(
+                    severity="error",
+                    code="FUNCTION_PLOT_PARSE_FAILED",
+                    message="表达式为空",
+                    line=lineno,
+                )
+            )
+            has_error = True
+            continue
+
+        try:
+            tree = parse_expression(expr_text)
+        except PlotParseError as exc:
+            exc.diagnostic.line = lineno
+            diagnostics.append(exc.diagnostic)
+            has_error = True
+            continue
+        total_nodes += _count_nodes(tree.body)
+        expressions.append(FunctionPlotExpression(expression=expr_text))
+        # 表达式数量超限：整块回退并提前终止，避免对海量表达式做采样求值
+        if len(expressions) > _MAX_EXPRESSIONS:
+            diagnostics.append(
+                PlotDiagnostic(
+                    severity="error",
+                    code="FUNCTION_PLOT_TOO_MANY_EXPRESSIONS",
+                    message=f"表达式数量超过上限 {_MAX_EXPRESSIONS}，已回退为源码占位",
+                )
+            )
+            return FunctionPlotParseResult(plot=None, diagnostics=diagnostics)
+
+    if has_error:
+        return FunctionPlotParseResult(plot=None, diagnostics=diagnostics)
+    if not expressions:
+        diagnostics.append(
+            PlotDiagnostic(
+                severity="error",
+                code="FUNCTION_PLOT_PARSE_FAILED",
+                message="没有找到任何函数表达式",
+            )
+        )
+        return FunctionPlotParseResult(plot=None, diagnostics=diagnostics)
+
+    plot = FunctionPlot(
+        expressions=expressions,
+        domain=domain,
+        range=range_,
+        axes=PlotAxes(xlabel=xlabel, ylabel=ylabel, grid=grid),
+        node_count=total_nodes,
+    )
+    return FunctionPlotParseResult(plot=plot, diagnostics=diagnostics)
diff --git a/backend/app/plot/render.py b/backend/app/plot/render.py
new file mode 100644
index 0000000..efd4d34
--- /dev/null
+++ b/backend/app/plot/render.py
@@ -0,0 +1,434 @@
+"""Function Plot → 静态 SVG 渲染 + 共享几何计算。
+
+只输出纯几何与 <text> 的 SVG（无 script/foreignObject/内联事件），可安全内嵌 HTML。
+所有文本与颜色都经过转义/校验，不把用户输入直接拼进标记。
+
+几何计算（范围解析、采样、刻度、非有限点分段）统一收敛到 ``compute_geometry``，
+返回像素坐标的 ``PlotGeometry``；``render_svg`` 只做 SVG 序列化，reportlab 后端
+（``render_reportlab.py``）消费同一份几何，保证 PDF 与 SVG 视觉一致。
+"""
+
+from __future__ import annotations
+
+import html
+import math
+import re
+from dataclasses import dataclass
+
+from app.plot.model import FunctionPlot, StaticRenderResult
+from app.plot.parser import PlotParseError, evaluate, parse_expression
+
+_WIDTH = 640
+_HEIGHT = 480
+_MARGIN = 52  # 四周留白，放轴刻度与标签
+_SAMPLES = 400
+_PALETTE = ["#0969da", "#d1242f", "#1a7f37", "#8250df", "#bf8700", "#e36209"]
+_COLOR_RE = re.compile(r"^#[0-9a-fA-F]{3,8}$")
+# 绘图矩形（像素，SVG y-down）：曲线与坐标轴所在区域，坐标轴/网格均在此范围内
+_PLOT_X0 = _MARGIN
+_PLOT_Y0 = _MARGIN
+_PLOT_X1 = _WIDTH - _MARGIN
+_PLOT_Y1 = _HEIGHT - _MARGIN
+
+
+def _safe_color(color: str | None, fallback: str) -> str:
+    return color.strip() if color and _COLOR_RE.match(color.strip()) else fallback
+
+
+def _valid_span(lo: float, hi: float) -> bool:
+    """范围跨度有效：端点有限、跨度有限且大于零。
+
+    端点相减可能溢出为 ``inf``（如 ``-1e308`` 到 ``1e308``），需单独校验跨度，
+    否则后续坐标换算会生成含 ``nan`` 的 SVG。
+    """
+    span = hi - lo
+    return math.isfinite(lo) and math.isfinite(hi) and math.isfinite(span) and span > 0
+
+
+def _fmt_num(v: float) -> str:
+    if v == 0:
+        return "0"
+    if abs(v) >= 1e6 or abs(v) < 1e-6:
+        return f"{v:.2e}"
+    return f"{v:.6g}"
+
+
+def _nice_step(span: float, target_ticks: int = 6) -> float:
+    raw = abs(span) / target_ticks
+    if not math.isfinite(raw) or raw <= 0:
+        return 1.0  # 兜底步长，避免 span 为 0/inf 时产生非法刻度
+    mag = 10 ** math.floor(math.log10(raw))
+    for m in (1, 2, 5, 10):
+        if raw <= m * mag:
+            return m * mag
+    return 10 * mag
+
+
+def _ticks(lo: float, hi: float, step: float) -> list[float]:
+    # 防御：非法步长直接返回空，避免除零
+    if not math.isfinite(step) or step <= 0:
+        return []
+    first = math.ceil(lo / step) * step
+    values: list[float] = []
+    v = first
+    # 有上限的整数索引推进 + 步长推进校验，防止浮点精度导致 v+step==v 的死循环
+    for _ in range(1000):
+        if v > hi + step * 1e-9:
+            break
+        values.append(v)
+        nxt = v + step
+        if nxt <= v:
+            break  # 步长小于当前数值的浮点精度，已无法推进
+        v = nxt
+    return values
+
+
+def _compute_range(
+    fns: list[tuple[object, object]],
+    xmin: float,
+    xmax: float,
+) -> tuple[float, float]:
+    """采样确定 y 范围；取有限样本的 min/max 加 5% 余量。"""
+    ys: list[float] = []
+    for _expr, tree in fns:
+        for i in range(_SAMPLES + 1):
+            x = xmin + (xmax - xmin) * i / _SAMPLES
+            try:
+                y = evaluate(tree, x)  # type: ignore[arg-type]
+            except (ValueError, ZeroDivisionError, OverflowError, TypeError):
+                continue
+            # 复数等非实数结果直接跳过，不参与范围统计
+            if isinstance(y, (int, float)) and math.isfinite(y):
+                ys.append(y)
+
+    if not ys:
+        return -10.0, 10.0
+    lo, hi = min(ys), max(ys)
+    if lo == hi:
+        lo -= 1.0
+        hi += 1.0
+    pad = (hi - lo) * 0.05
+    return lo - pad, hi + pad
+
+
+def _sx(x: float, xmin: float, xmax: float) -> float:
+    """数据 x → 像素 x（SVG y-down 约定，原点左上）。"""
+    return _MARGIN + (x - xmin) / (xmax - xmin) * (_WIDTH - 2 * _MARGIN)
+
+
+def _sy(y: float, ymin: float, ymax: float) -> float:
+    """数据 y → 像素 y（SVG y-down 约定，原点左上）。"""
+    return _HEIGHT - _MARGIN - (y - ymin) / (ymax - ymin) * (_HEIGHT - 2 * _MARGIN)
+
+
+@dataclass
+class PlotGeometry:
+    """已解析的几何：范围、轴位置、刻度、曲线像素点段、标签与 warnings。
+
+    像素坐标统一为 SVG y-down 约定；reportlab 后端（y-up）自行翻转 y。
+    """
+
+    width: int
+    height: int
+    xmin: float
+    xmax: float
+    ymin: float
+    ymax: float
+    x_axis_y: float  # 数据空间里 x 轴所在 y（过原点则 0，否则贴边）
+    y_axis_x: float  # 数据空间里 y 轴所在 x（过原点则 0，否则贴边）
+    xticks: list[float]
+    yticks: list[float]
+    polylines: list[list[list[tuple[float, float]]]]  # 按表达式分组：段 → 像素点
+    colors: list[str]  # 与 polylines 对齐
+    xlabel: str | None
+    ylabel: str | None
+    grid: bool
+    warnings: list[str]
+
+
+def _clip_segment(
+    p0: tuple[float, float],
+    p1: tuple[float, float],
+    x0: float,
+    y0: float,
+    x1: float,
+    y1: float,
+) -> tuple[tuple[float, float], tuple[float, float]] | None:
+    """Liang-Barsky：把线段裁剪到轴对齐矩形 [x0,x1]×[y0,y1]，完全在外返回 None。"""
+    dx = p1[0] - p0[0]
+    dy = p1[1] - p0[1]
+    p = (-dx, dx, -dy, dy)
+    q = (p0[0] - x0, x1 - p0[0], p0[1] - y0, y1 - p0[1])
+    u1, u2 = 0.0, 1.0
+    for pk, qk in zip(p, q):
+        if pk == 0:
+            if qk < 0:
+                return None
+        else:
+            r = qk / pk
+            if pk < 0:
+                if r > u2:
+                    return None
+                if r > u1:
+                    u1 = r
+            else:
+                if r < u1:
+                    return None
+                if r < u2:
+                    u2 = r
+    if u1 > u2:
+        return None
+    return (p0[0] + u1 * dx, p0[1] + u1 * dy), (p0[0] + u2 * dx, p0[1] + u2 * dy)
+
+
+def _points_close(
+    a: tuple[float, float], b: tuple[float, float], eps: float = 1e-9
+) -> bool:
+    return abs(a[0] - b[0]) < eps and abs(a[1] - b[1]) < eps
+
+
+def _clip_polyline(
+    points: list[tuple[float, float]],
+    x0: float,
+    y0: float,
+    x1: float,
+    y1: float,
+) -> list[list[tuple[float, float]]]:
+    """把折线裁剪到矩形，返回若干连续子段；相邻点不衔接处自动断段。"""
+    if not points:
+        return []
+    segments: list[list[tuple[float, float]]] = []
+    current: list[tuple[float, float]] = []
+    for i in range(len(points) - 1):
+        clipped = _clip_segment(points[i], points[i + 1], x0, y0, x1, y1)
+        if clipped is None:
+            if current:
+                segments.append(current)
+                current = []
+            continue
+        a, b = clipped
+        # 共享点被裁剪修改（折线短暂越界后折返）时，a 与上一段末点不衔接，需断段
+        if current and not _points_close(a, current[-1]):
+            segments.append(current)
+            current = []
+        if not current:
+            current.append(a)
+        current.append(b)
+    if current:
+        segments.append(current)
+    return segments
+
+
+def _sample_segments(
+    tree: object,
+    xmin: float,
+    xmax: float,
+    ymin: float,
+    ymax: float,
+) -> list[list[tuple[float, float]]]:
+    """采样并映射为像素点段，再裁剪到绘图矩形。
+
+    两处断段：非有限点处（画穿渐近线）；相邻有限采样点横跨可见范围上下两侧时
+    （渐近点恰好落在两个采样点之间，否则会被裁剪成贯穿绘图区的伪竖线）。
+    """
+    segments: list[list[tuple[float, float]]] = []
+    points: list[tuple[float, float]] = []
+    prev_y: float | None = None
+    for i in range(_SAMPLES + 1):
+        x = xmin + (xmax - xmin) * i / _SAMPLES
+        try:
+            y = evaluate(tree, x)  # type: ignore[arg-type]
+        except (ValueError, ZeroDivisionError, OverflowError, TypeError):
+            y = math.nan
+        if not isinstance(y, (int, float)) or not math.isfinite(y):
+            if points:
+                segments.append(points)
+                points = []
+            prev_y = None
+            continue
+        px = _sx(x, xmin, xmax)
+        py = _sy(y, ymin, ymax)
+        # 映射后的坐标必须有限：显式 range 下极端 y 值可能让像素坐标溢出为 inf
+        if not (math.isfinite(px) and math.isfinite(py)):
+            if points:
+                segments.append(points)
+                points = []
+            prev_y = None
+            continue
+        # 渐近线检测：相邻有限采样点分居可见范围上下两侧（一个 < ymin、一个 > ymax），
+        # 说明两者之间夹着竖直渐近线，断段避免被 Liang-Barsky 裁剪成贯穿绘图区的伪竖线
+        if prev_y is not None and (
+            (prev_y < ymin and y > ymax) or (prev_y > ymax and y < ymin)
+        ):
+            if points:
+                segments.append(points)
+                points = []
+        points.append((px, py))
+        prev_y = y
+    if points:
+        segments.append(points)
+
+    # 裁剪到绘图矩形：reportlab 无 SVG viewport 那样的自动裁剪，超出显式 range 的
+    # 曲线会覆盖页面其他内容，故在共享几何层统一裁剪（SVG 也一并收敛到绘图区）。
+    clipped: list[list[tuple[float, float]]] = []
+    for seg in segments:
+        clipped.extend(_clip_polyline(seg, _PLOT_X0, _PLOT_Y0, _PLOT_X1, _PLOT_Y1))
+    return clipped
+
+
+def compute_geometry(plot: FunctionPlot) -> PlotGeometry:
+    """解析并计算几何，供 SVG 与 reportlab 后端复用。"""
+    warnings: list[str] = []
+    xmin, xmax = plot.domain
+    if not _valid_span(xmin, xmax):
+        warnings.append("domain 无效，回退到 [-10, 10]")
+        xmin, xmax = -10.0, 10.0
+
+    # 重新解析并编译表达式（parse_source 已校验，这里异常只在模型被绕过时触发）
+    fns: list[tuple[object, object]] = []
+    for expr in plot.expressions:
+        try:
+            tree = parse_expression(expr.expression)
+        except PlotParseError as exc:
+            warnings.append(f"表达式无法渲染，已跳过：{expr.expression}（{exc.diagnostic.message}）")
+            continue
+        fns.append((expr, tree))
+
+    # 纵轴范围：显式 range 有效则用之；无效（退化/非有限/跨度溢出）丢弃并自动采样重算
+    if plot.range is not None:
+        lo, hi = float(plot.range[0]), float(plot.range[1])
+        if _valid_span(lo, hi):
+            ymin, ymax = lo, hi
+        else:
+            warnings.append("range 无效，改用自动范围")
+            ymin, ymax = _compute_range(fns, xmin, xmax)
+    else:
+        ymin, ymax = _compute_range(fns, xmin, xmax)
+
+    # 最终防线：自动范围在极端样本下也可能溢出，坐标映射前必须保证跨度有限且大于零
+    if not _valid_span(ymin, ymax):
+        warnings.append("y 范围跨度无法表示，回退到 [-10, 10]")
+        ymin, ymax = -10.0, 10.0
+
+    x_axis_y = 0.0 if ymin <= 0 <= ymax else ymin
+    y_axis_x = 0.0 if xmin <= 0 <= xmax else xmin
+    xticks = _ticks(xmin, xmax, _nice_step(xmax - xmin))
+    yticks = _ticks(ymin, ymax, _nice_step(ymax - ymin))
+
+    polylines: list[list[list[tuple[float, float]]]] = []
+    colors: list[str] = []
+    for i, (expr, tree) in enumerate(fns):
+        color = _safe_color(expr.color, _PALETTE[i % len(_PALETTE)])
+        colors.append(color)
+        polylines.append(_sample_segments(tree, xmin, xmax, ymin, ymax))
+
+    return PlotGeometry(
+        width=_WIDTH,
+        height=_HEIGHT,
+        xmin=xmin,
+        xmax=xmax,
+        ymin=ymin,
+        ymax=ymax,
+        x_axis_y=x_axis_y,
+        y_axis_x=y_axis_x,
+        xticks=xticks,
+        yticks=yticks,
+        polylines=polylines,
+        colors=colors,
+        xlabel=plot.axes.xlabel,
+        ylabel=plot.axes.ylabel,
+        grid=plot.axes.grid,
+        warnings=warnings,
+    )
+
+
+# --- SVG 序列化（与 compute_geometry 共用，保证字节级稳定） ---
+def _grid_svg(geo: PlotGeometry) -> str:
+    sx = lambda x: _sx(x, geo.xmin, geo.xmax)
+    sy = lambda y: _sy(y, geo.ymin, geo.ymax)
+    parts: list[str] = []
+    for x in geo.xticks:
+        parts.append(
+            f'<line x1="{sx(x):.2f}" y1="{sy(geo.ymin):.2f}" x2="{sx(x):.2f}" '
+            f'y2="{sy(geo.ymax):.2f}" stroke="#eaeef2"/>'
+        )
+    for y in geo.yticks:
+        parts.append(
+            f'<line x1="{sx(geo.xmin):.2f}" y1="{sy(y):.2f}" x2="{sx(geo.xmax):.2f}" '
+            f'y2="{sy(y):.2f}" stroke="#eaeef2"/>'
+        )
+    return "".join(parts)
+
+
+def _axes_svg(geo: PlotGeometry) -> str:
+    sx = lambda x: _sx(x, geo.xmin, geo.xmax)
+    sy = lambda y: _sy(y, geo.ymin, geo.ymax)
+    parts: list[str] = []
+    # 坐标轴：过原点则画在原点，否则贴边，保证始终有参照系
+    parts.append(
+        f'<line x1="{sx(geo.xmin):.2f}" y1="{sy(geo.x_axis_y):.2f}" x2="{sx(geo.xmax):.2f}" '
+        f'y2="{sy(geo.x_axis_y):.2f}" stroke="#57606a"/>'
+    )
+    parts.append(
+        f'<line x1="{sx(geo.y_axis_x):.2f}" y1="{sy(geo.ymin):.2f}" x2="{sx(geo.y_axis_x):.2f}" '
+        f'y2="{sy(geo.ymax):.2f}" stroke="#57606a"/>'
+    )
+    # x 轴刻度数字（画在轴下方）
+    for x in geo.xticks:
+        parts.append(
+            f'<text x="{sx(x):.2f}" y="{sy(geo.x_axis_y) + 14:.2f}" text-anchor="middle" '
+            f'font-size="10" fill="#57606a">{html.escape(_fmt_num(x))}</text>'
+        )
+    # y 轴刻度数字（画在轴左侧）
+    for y in geo.yticks:
+        parts.append(
+            f'<text x="{sx(geo.y_axis_x) - 6:.2f}" y="{sy(y) + 3:.2f}" text-anchor="end" '
+            f'font-size="10" fill="#57606a">{html.escape(_fmt_num(y))}</text>'
+        )
+    return "".join(parts)
+
+
+def _polylines_svg(geo: PlotGeometry) -> str:
+    parts: list[str] = []
+    for segments, color in zip(geo.polylines, geo.colors):
+        for seg in segments:
+            points = " ".join(f"{px:.2f},{py:.2f}" for px, py in seg)
+            parts.append(f'<polyline points="{points}" fill="none" stroke="{color}"/>')
+    return "".join(parts)
+
+
+def _labels_svg(geo: PlotGeometry) -> str:
+    parts: list[str] = []
+    if geo.xlabel:
+        parts.append(
+            f'<text x="{geo.width / 2:.2f}" y="{geo.height - 10:.2f}" text-anchor="middle" '
+            f'font-size="12" fill="#1f2328">{html.escape(geo.xlabel)}</text>'
+        )
+    if geo.ylabel:
+        parts.append(
+            f'<text x="16" y="{geo.height / 2:.2f}" text-anchor="middle" font-size="12" '
+            f'fill="#1f2328" transform="rotate(-90 16 {geo.height / 2:.2f})">'
+            f'{html.escape(geo.ylabel)}</text>'
+        )
+    return "".join(parts)
+
+
+def render_svg(plot: FunctionPlot) -> StaticRenderResult:
+    """把已解析的 FunctionPlot 渲染为内嵌 SVG。"""
+    geo = compute_geometry(plot)
+    parts: list[str] = [
+        f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 {geo.width} {geo.height}" role="img">'
+    ]
+    if geo.grid:
+        parts.append(_grid_svg(geo))
+    parts.append(_axes_svg(geo))
+    parts.append(_polylines_svg(geo))
+    parts.append(_labels_svg(geo))
+    parts.append("</svg>")
+
+    return StaticRenderResult(
+        content="".join(parts),
+        width=geo.width,
+        height=geo.height,
+        warnings=geo.warnings,
+    )
diff --git a/backend/app/plot/render_reportlab.py b/backend/app/plot/render_reportlab.py
new file mode 100644
index 0000000..3bd5452
--- /dev/null
+++ b/backend/app/plot/render_reportlab.py
@@ -0,0 +1,120 @@
+"""Function Plot → reportlab 矢量 Drawing（供 PDF 内嵌）。
+
+消费 ``render.compute_geometry`` 的共享几何，产出 ``reportlab.graphics.shapes.Drawing``：
+网格/坐标轴用 ``Line``、曲线用 ``PolyLine``、刻度数字与轴标签用 ``String``。
+reportlab 原点在左下（y-up），与 SVG 的 y-down 相反，故对几何里的像素 y 统一翻转；
+轴标签（ylabel）用 ``Group.rotate`` 旋转为竖向文本。中文字体复用内置 STSong-Light，
+guarded 注册避免与 pdf.py 重复注册。
+"""
+
+from __future__ import annotations
+
+from reportlab.graphics.shapes import Drawing, Group, Line, PolyLine, String
+from reportlab.lib.colors import HexColor
+from reportlab.pdfbase import pdfmetrics
+from reportlab.pdfbase.cidfonts import UnicodeCIDFont
+
+from app.plot.model import FunctionPlot
+from app.plot.render import PlotGeometry, _fmt_num, _sx, _sy, compute_geometry
+
+_FONT = "STSong-Light"
+if _FONT not in pdfmetrics.getRegisteredFontNames():
+    pdfmetrics.registerFont(UnicodeCIDFont(_FONT))
+
+_GRID_COLOR = HexColor("#eaeef2")
+_AXIS_COLOR = HexColor("#57606a")
+_LABEL_COLOR = HexColor("#1f2328")
+_TICK_FONT_SIZE = 10
+_LABEL_FONT_SIZE = 12
+
+
+def _build_drawing(geo: PlotGeometry) -> Drawing:
+    """由共享几何构建矢量 Drawing（坐标翻转后仍沿用 SVG 的像素布局）。"""
+    drawing = Drawing(geo.width, geo.height)
+
+    # SVG y-down → reportlab y-up：翻转像素 y
+    def sx(x: float) -> float:
+        return _sx(x, geo.xmin, geo.xmax)
+
+    def sy(y: float) -> float:
+        return geo.height - _sy(y, geo.ymin, geo.ymax)
+
+    # 网格
+    if geo.grid:
+        for x in geo.xticks:
+            drawing.add(
+                Line(sx(x), sy(geo.ymin), sx(x), sy(geo.ymax), strokeColor=_GRID_COLOR, strokeWidth=0.5)
+            )
+        for y in geo.yticks:
+            drawing.add(
+                Line(sx(geo.xmin), sy(y), sx(geo.xmax), sy(y), strokeColor=_GRID_COLOR, strokeWidth=0.5)
+            )
+
+    # 坐标轴（过原点画在原点，否则贴边，与 SVG 一致）
+    drawing.add(
+        Line(sx(geo.xmin), sy(geo.x_axis_y), sx(geo.xmax), sy(geo.x_axis_y), strokeColor=_AXIS_COLOR, strokeWidth=0.7)
+    )
+    drawing.add(
+        Line(sx(geo.y_axis_x), sy(geo.ymin), sx(geo.y_axis_x), sy(geo.ymax), strokeColor=_AXIS_COLOR, strokeWidth=0.7)
+    )
+
+    # 刻度数字（x 轴下方、y 轴左侧）
+    for x in geo.xticks:
+        drawing.add(
+            String(
+                sx(x), sy(geo.x_axis_y) - 14, _fmt_num(x),
+                fontName=_FONT, fontSize=_TICK_FONT_SIZE, fillColor=_AXIS_COLOR, textAnchor="middle",
+            )
+        )
+    for y in geo.yticks:
+        drawing.add(
+            String(
+                sx(geo.y_axis_x) - 6, sy(y) - 3, _fmt_num(y),
+                fontName=_FONT, fontSize=_TICK_FONT_SIZE, fillColor=_AXIS_COLOR, textAnchor="end",
+            )
+        )
+
+    # 曲线（非有限点处已由几何断成多段）
+    for segments, color in zip(geo.polylines, geo.colors):
+        for seg in segments:
+            flipped = [(px, geo.height - py) for px, py in seg]
+            drawing.add(PolyLine(flipped, strokeColor=HexColor(color), strokeWidth=1.4))
+
+    # 轴标签
+    if geo.xlabel:
+        drawing.add(
+            String(
+                geo.width / 2, 10, geo.xlabel,
+                fontName=_FONT, fontSize=_LABEL_FONT_SIZE, fillColor=_LABEL_COLOR, textAnchor="middle",
+            )
+        )
+    if geo.ylabel:
+        # 竖向标签：Group.rotate(90) 在 y-up 坐标下等价于 SVG 的 rotate(-90)。
+        # 文本放在组内局部坐标 (0,0)，先平移后旋转得到 T·R（先绕原点旋转、再平移到
+        # 目标位置），避免用绝对坐标定位又用相同坐标当旋转中心造成的重复变换，
+        # 后者会把标签甩到画布之外（负 x 区域）。
+        label = Group()
+        label.add(
+            String(
+                0, 0, geo.ylabel,
+                fontName=_FONT, fontSize=_LABEL_FONT_SIZE, fillColor=_LABEL_COLOR, textAnchor="middle",
+            )
+        )
+        label.translate(16, geo.height / 2)
+        label.rotate(90)
+        drawing.add(label)
+
+    return drawing
+
+
+def render_drawing(plot: FunctionPlot, width: float | None = None) -> Drawing:
+    """把已解析的 FunctionPlot 渲染为 reportlab Drawing（可直接追加到 platypus story）。
+
+    ``width`` 为目标输出宽度（点），用于把 640px 的几何缩放到页面内容宽；省略则按
+    原始尺寸输出。缩放只影响 PDF 渲染，不改动共享几何。
+    """
+    geo = compute_geometry(plot)
+    drawing = _build_drawing(geo)
+    if width is not None and width > 0:
+        drawing.renderScale = min(1.0, width / geo.width)
+    return drawing
diff --git a/backend/app/plot/renderer.py b/backend/app/plot/renderer.py
new file mode 100644
index 0000000..78ee049
--- /dev/null
+++ b/backend/app/plot/renderer.py
@@ -0,0 +1,66 @@
+"""StaticRenderer 内部契约（契约 §10.4）。
+
+把「静态可视化」抽象为统一请求/协议：导出器只面向 StaticRenderer，不再直接调用
+``render_svg`` 等具体实现。后端当前仅能静态渲染函数图像；Mermaid 后端无渲染能力，
+返回占位结果交前端渲染。
+"""
+
+from __future__ import annotations
+
+from typing import Literal, Protocol
+
+from pydantic import BaseModel, Field
+
+from app.plot.model import FunctionPlot, FunctionPlotParseResult, StaticRenderResult
+from app.plot.parser import parse_source
+from app.plot.render import render_svg
+
+
+class StaticRenderRequest(BaseModel):
+    """一次静态渲染请求；source_hash 供缓存/去重，theme 供主题化渲染。"""
+
+    kind: Literal["function_plot", "mermaid"]
+    source: str
+    source_hash: str = ""
+    theme: str | None = None
+    width: int | None = None
+    height: int | None = None
+
+
+class StaticRenderer(Protocol):
+    """静态渲染器协议：请求 → 渲染结果（content 为可直接内嵌的标记）。"""
+
+    def render(self, request: StaticRenderRequest) -> StaticRenderResult: ...
+
+
+class FunctionPlotStaticRenderer:
+    """函数图像渲染器：parse_source 解析 → render_svg 输出内嵌 SVG。
+
+    ``parse`` 与 ``render_plot`` 拆开，供导出器在渲染前先拿 node_count 做文档级
+    累计复杂度预算、并消费解析诊断。
+    """
+
+    def parse(self, request: StaticRenderRequest) -> FunctionPlotParseResult:
+        return parse_source(request.source)
+
+    def render(self, request: StaticRenderRequest) -> StaticRenderResult:
+        parsed = self.parse(request)
+        if parsed.plot is None:
+            raise ValueError("function-plot source has no valid plot")
+        return self.render_plot(parsed.plot)
+
+    def render_plot(self, plot: FunctionPlot) -> StaticRenderResult:
+        return render_svg(plot)
+
+
+class MermaidStaticRenderer:
+    """Mermaid 后端无渲染能力：返回空占位结果，交前端渲染。"""
+
+    def render(self, request: StaticRenderRequest) -> StaticRenderResult:
+        return StaticRenderResult(
+            content="",
+            mime_type="text/plain",
+            width=0,
+            height=0,
+            warnings=["mermaid 需前端渲染，已保留为占位代码块"],
+        )
diff --git a/backend/app/routes.py b/backend/app/routes.py
index 8ae1e73..e2a5e7c 100644
--- a/backend/app/routes.py
+++ b/backend/app/routes.py
@@ -6,7 +6,7 @@ from datetime import datetime, timezone
 from uuid import uuid4
 
 from fastapi import APIRouter, Header, Query, Request
-from fastapi.responses import StreamingResponse
+from fastapi.responses import FileResponse, StreamingResponse
 
 from app.agent import AgentCapacityError, AgentRunNotFoundError
 from app.container import container
@@ -57,6 +57,11 @@ from app.contracts import (
     ModelRoutingResponse,
     SpeakerMatchRequest,
     SpeakerMatchResult,
+    ExportFormat,
+    ExportJob,
+    ExportJobListResponse,
+    ExportRequest,
+    ExportStatus,
     Note,
     NoteCreateRequest,
     NoteListResponse,
@@ -105,9 +110,11 @@ from app.contracts import (
 from app.agent import AgentCapacityError, AgentRunNotFoundError
 from app.benchmarks import datasets as benchmark_datasets
 from app.benchmarks import service as benchmark_service
+from app.config import get_settings
 from app.container import container
 from app.services.persona_settings import PersonaSettings, load_persona, save_persona
 from app.errors import ApiError
+from app.export import service as export_service
 from app.extensions import ExtensionError
 from app.extensions.mcp_registry import McpRegistryError
 from app.providers.base import ProviderError
@@ -1507,6 +1514,81 @@ async def get_benchmark_report(run_id: str) -> BenchmarkReport:
     return report
 
 
+@router.post(
+    "/exports",
+    response_model=ExportJob,
+    status_code=202,
+    tags=["Export"],
+)
+async def create_export(request: ExportRequest) -> ExportJob:
+    return await export_service.create_export(request)
+
+
+@router.get(
+    "/exports",
+    response_model=ExportJobListResponse,
+    tags=["Export"],
+)
+async def list_exports(
+    status: ExportStatus | None = Query(default=None),
+    format: ExportFormat | None = Query(default=None),
+    limit: int = Query(default=50, ge=1, le=200),
+    offset: int = Query(default=0, ge=0),
+) -> ExportJobListResponse:
+    items, total = export_service.list_exports(
+        status=status, format=format, limit=limit, offset=offset
+    )
+    return ExportJobListResponse(
+        items=items, page=PageMeta(total=total, limit=limit, offset=offset)
+    )
+
+
+@router.get(
+    "/exports/{job_id}",
+    response_model=ExportJob,
+    tags=["Export"],
+)
+async def get_export(job_id: str) -> ExportJob:
+    job = export_service.get_export(job_id)
+    if job is None:
+        raise ApiError(
+            404, "EXPORT_JOB_NOT_FOUND", "export job not found", {"job_id": job_id}
+        )
+    return job
+
+
+@router.get(
+    "/exports/{job_id}/file",
+    tags=["Export"],
+)
+async def get_export_file(job_id: str) -> FileResponse:
+    path = export_service.get_export_file(job_id)  # 未完成/过期分别抛 404/410
+    job = export_service.get_export(job_id)
+    if job is None or job.file is None:
+        raise ApiError(
+            404, "EXPORT_JOB_NOT_FOUND", "export file not ready", {"job_id": job_id}
+        )
+    return FileResponse(
+        path=path,
+        media_type=job.file.mime_type,
+        filename=job.file.file_name,
+    )
+
+
+@router.post(
+    "/exports/{job_id}/cancel",
+    response_model=OperationResponse,
+    tags=["Export"],
+)
+async def cancel_export(job_id: str) -> OperationResponse:
+    job = export_service.cancel_export(job_id)
+    if job is None:
+        raise ApiError(
+            404, "EXPORT_JOB_NOT_FOUND", "export job not found", {"job_id": job_id}
+        )
+    return OperationResponse(
+        status="accepted", resource_id=job_id, message="Export cancellation accepted."
+    )
 
 
 @router.get("/settings/persona", response_model=PersonaSettings, tags=["Settings"])
diff --git a/backend/pyproject.toml b/backend/pyproject.toml
index 6c3d4c0..c5e9baf 100644
--- a/backend/pyproject.toml
+++ b/backend/pyproject.toml
@@ -9,8 +9,11 @@ dependencies = [
     "fastapi>=0.116,<1.0",
     "httpx>=0.28,<1.0",
     "jsonschema>=4.25,<5.0",
+    "mistune>=3.0,<4.0",
+    "python-docx>=1.1,<2.0",
     "pyyaml>=6.0,<7.0",
     "referencing>=0.36,<1.0",
+    "reportlab>=4.0,<5.0",
     "sqlite-vec>=0.1.9",
     "uvicorn[standard]>=0.35,<1.0",
 ]
diff --git a/backend/tests/test_export.py b/backend/tests/test_export.py
new file mode 100644
index 0000000..cef356a
--- /dev/null
+++ b/backend/tests/test_export.py
@@ -0,0 +1,793 @@
+"""Export Service 的单元与端到端测试。
+
+沿用 conftest 隔离机制：APP_DATA_DIR / DB / Vault / exports 目录都落在临时目录，
+不读写真实数据。导出采用「创建即 queued + 后台 Task 执行」的异步模型，测试在同一
+事件循环内创建并等待后台任务结束，得到终态 ExportJob 后再断言。
+"""
+
+from __future__ import annotations
+
+import asyncio
+import base64
+import re
+import zlib
+from datetime import datetime, timedelta, timezone
+
+import pytest
+from pydantic import ValidationError
+
+from app.config import get_settings
+from app.contracts import (
+    ExportFormat,
+    ExportJob,
+    ExportOptions,
+    ExportRequest,
+    ExportSource,
+    ExportSourceType,
+    ExportStatus,
+)
+from app.errors import ApiError
+from app.export import service as export_service
+from app.export.exporters.html import HtmlExporter
+from app.export.markdown import parse_document
+
+MD = """# 进程调度
+
+一些 **加粗** 和 *斜体*，[链接](https://a.b) 与 `code`。
+
+- 项目一
+- 项目二
+
+```python
+print(1)
+```
+
+```mermaid
+graph LR
+```
+
+```function_plot
+y = x
+```
+
+| a | b |
+|---|---|
+| 1 | 2 |
+
+行内 $x^2$ 与块级
+$$
+y = mx + b
+$$
+"""
+
+
+@pytest.fixture(autouse=True)
+def _reset_export_state():
+    """清空内存注册表，避免跨用例的任务/取消标志互相污染。
+
+    每个用例经 `asyncio.run()` 使用独立事件循环，模块级 Semaphore 会绑定到首个
+    循环，跨用例复用会触发「bound to a different event loop」；此处每例重建槽位。
+    """
+    export_service._jobs.clear()
+    export_service._tasks.clear()
+    export_service._cancel_flags.clear()
+    export_service._render_slots = asyncio.Semaphore(export_service.MAX_CONCURRENT_RENDERS)
+    yield
+    export_service._jobs.clear()
+    export_service._tasks.clear()
+    export_service._cancel_flags.clear()
+
+
+def _create_and_wait(request: ExportRequest) -> object:
+    """创建导出并在同一事件循环内等待后台任务结束，返回终态 ExportJob。"""
+
+    async def _execute():
+        job = await export_service.create_export(request)
+        return await export_service.wait_for_export(job.job_id)
+
+    return asyncio.run(_execute())
+
+
+# --------------------------------------------------------------------------- #
+# markdown → Document AST
+# --------------------------------------------------------------------------- #
+def _types(nodes) -> list[str]:
+    return [n.type for n in nodes]
+
+
+def test_parse_document_heading_and_inline() -> None:
+    doc = parse_document("# 标题\n\n一段 **加粗** 和 [链接](https://a.b)。")
+
+    assert doc.type == "document"
+    heading = doc.children[0]
+    assert heading.type == "heading"
+    assert heading.attributes["level"] == 1
+
+    para = doc.children[1]
+    assert para.type == "paragraph"
+    kinds = _types(para.children)
+    assert "text" in kinds
+    assert "strong" in kinds
+    assert "link" in kinds
+
+    link = next(c for c in para.children if c.type == "link")
+    assert link.attributes["href"] == "https://a.b"
+
+
+def test_parse_document_list_and_code_fencing() -> None:
+    doc = parse_document("- a\n- b\n\n```mermaid\ngraph LR\n```\n\n```function_plot\ny=x\n```\n\n```python\nx\n```")
+
+    kinds = [c.type for c in doc.children]
+    assert kinds[0] == "list"
+    assert kinds[1] == "mermaid"
+    assert kinds[2] == "function_plot"
+    assert kinds[3] == "code_block"
+
+    code = doc.children[3]
+    assert code.attributes["language"] == "python"
+    assert code.text == "x"
+
+
+def test_parse_document_table_and_math() -> None:
+    doc = parse_document("| a | b |\n|---|---|\n| 1 | 2 |\n\n$x^2$\n\n$$\ny=mx\n$$")
+
+    table = doc.children[0]
+    assert table.type == "table"
+    assert table.children[0].type == "table_row"
+    assert table.children[0].children[0].attributes["head"] is True
+
+    # 表格后是「行内数学所在段落」与「块级数学」
+    kinds = [c.type for c in doc.children[1:]]
+    assert "paragraph" in kinds
+    assert "math_block" in kinds
+
+
+def test_parse_document_image_maps_src_alt_title() -> None:
+    doc = parse_document('![替代文本](https://a.b/img.png "标题")')
+    img = doc.children[0].children[0]
+    assert img.type == "image"
+    assert img.attributes["src"] == "https://a.b/img.png"
+    assert img.attributes["alt"] == "替代文本"
+    assert img.attributes["title"] == "标题"
+
+
+def test_parse_document_function_plot_dash_alias() -> None:
+    doc = parse_document("```function-plot\ny = x^2\n```")
+    assert doc.children[0].type == "function_plot"
+    assert doc.children[0].text == "y = x^2"
+
+
+# --------------------------------------------------------------------------- #
+# HtmlExporter
+# --------------------------------------------------------------------------- #
+async def _render(markdown: str, *, title: str = "") -> str:
+    doc = parse_document(markdown)
+    doc.attributes["title"] = title
+    result = await HtmlExporter().export(doc, ExportOptions())
+    return result.content.decode("utf-8")
+
+
+def test_html_exporter_renders_basic_nodes_and_escapes() -> None:
+    html = asyncio.run(_render("# 标题\n\n**加粗** [链接](https://a.b) 与 <b>原始</b>。"))
+
+    assert "<h1>标题</h1>" in html
+    assert "<strong>加粗</strong>" in html
+    assert '<a href="https://a.b">链接</a>' in html
+    # 原始 HTML 必须被转义，不能注入文档
+    assert "&lt;b&gt;原始&lt;/b&gt;" in html
+    assert "<b>原始</b>" not in html
+
+
+def test_html_exporter_marks_mermaid_and_function_plot() -> None:
+    result = asyncio.run(HtmlExporter().export(parse_document("```mermaid\ngraph LR\n```"), ExportOptions()))
+
+    html = result.content.decode("utf-8")
+    assert '<pre class="mermaid">graph LR</pre>' in html
+    assert any("mermaid" in w for w in result.warnings)
+
+
+def test_html_exporter_rejects_unsafe_link_protocol() -> None:
+    result = asyncio.run(
+        HtmlExporter().export(parse_document("[点我](javascript:alert(1))"), ExportOptions())
+    )
+    html = result.content.decode("utf-8")
+    assert "javascript:" not in html
+    assert "点我" in html
+    assert any("不安全" in w for w in result.warnings)
+
+
+def test_html_exporter_rejects_unsafe_image_protocol() -> None:
+    result = asyncio.run(
+        HtmlExporter().export(parse_document("![alt](data:text/html,<script>)"), ExportOptions())
+    )
+    html = result.content.decode("utf-8")
+    assert "data:" not in html
+    assert "<img" not in html
+    assert "alt" in html
+    assert any("不安全" in w for w in result.warnings)
+
+
+def test_html_exporter_preserves_raw_html_block() -> None:
+    result = asyncio.run(
+        HtmlExporter().export(parse_document("<div>重要正文</div>"), ExportOptions())
+    )
+    html = result.content.decode("utf-8")
+    assert "重要正文" in html
+    assert "<div>" not in html
+    assert "&lt;div&gt;重要正文&lt;/div&gt;" in html
+    assert any("原始 HTML" in w for w in result.warnings)
+
+
+def test_html_exporter_include_title_and_metadata() -> None:
+    doc = parse_document("正文")
+    doc.attributes["title"] = "操作系统复习"
+    doc.attributes["metadata"] = {"tags": ["os", "复习"]}
+
+    opts = ExportOptions(include_title=True, include_metadata=True)
+    result = asyncio.run(HtmlExporter().export(doc, opts))
+    html = result.content.decode("utf-8")
+
+    assert '<h1 class="title">操作系统复习</h1>' in html
+    assert "os, 复习" in html
+
+
+# --------------------------------------------------------------------------- #
+# ExportService
+# --------------------------------------------------------------------------- #
+def _markdown_request(markdown: str, *, format: ExportFormat = ExportFormat.html) -> ExportRequest:
+    return ExportRequest(
+        source=ExportSource(type=ExportSourceType.markdown, markdown=markdown),
+        format=format,
+    )
+
+
+def test_export_markdown_source_completes_and_writes_file() -> None:
+    finished = _create_and_wait(_markdown_request(MD))
+
+    assert finished.status == ExportStatus.completed
+    assert finished.file is not None
+    assert finished.file.mime_type == "text/html"
+    assert finished.file.size > 0
+    assert len(finished.file.sha256) == 64
+
+    path = get_settings().exports_path / f"{finished.job_id}.html"
+    assert path.exists()
+    content = path.read_text(encoding="utf-8")
+    assert "进程调度" in content
+
+
+def test_export_note_source_resolves_title_and_metadata() -> None:
+    from app.services import note_service
+
+    async def _go():
+        note = await note_service.create_note(
+            title="操作系统复习", markdown="# 进程调度\n\n内容。", folder="导出", tags=["os"]
+        )
+        request = ExportRequest(
+            source=ExportSource(type=ExportSourceType.note, note_id=note.note_id),
+            format=ExportFormat.html,
+            options=ExportOptions(include_metadata=True),
+        )
+        job = await export_service.create_export(request)
+        return await export_service.wait_for_export(job.job_id)
+
+    finished = asyncio.run(_go())
+    assert finished.status == ExportStatus.completed
+    assert finished.file is not None
+    assert finished.file.file_name == "操作系统复习.html"
+    content = (get_settings().exports_path / f"{finished.job_id}.html").read_text(encoding="utf-8")
+    assert "操作系统复习" in content
+    assert "进程调度" in content
+
+
+# --------------------------------------------------------------------------- #
+# PDF / DOCX 导出
+# --------------------------------------------------------------------------- #
+def test_export_pdf_completes_with_pdf_magic_bytes() -> None:
+    finished = _create_and_wait(_markdown_request(MD, format=ExportFormat.pdf))
+
+    assert finished.status == ExportStatus.completed
+    assert finished.file is not None
+    assert finished.file.mime_type == "application/pdf"
+    assert finished.file.file_name.endswith(".pdf")
+
+    path = get_settings().exports_path / f"{finished.job_id}.pdf"
+    assert path.exists()
+    assert path.read_bytes()[:4] == b"%PDF"
+
+
+def test_export_docx_completes_with_zip_magic_bytes() -> None:
+    finished = _create_and_wait(_markdown_request(MD, format=ExportFormat.docx))
+
+    assert finished.status == ExportStatus.completed
+    assert finished.file is not None
+    assert finished.file.mime_type == (
+        "application/vnd.openxmlformats-officedocument.wordprocessingml.document"
+    )
+    assert finished.file.file_name.endswith(".docx")
+
+    path = get_settings().exports_path / f"{finished.job_id}.docx"
+    assert path.exists()
+    assert path.read_bytes()[:2] == b"PK"
+
+
+def test_pdf_exporter_embeds_function_plot_and_marks_mermaid() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    md = "```mermaid\ngraph LR\n```\n\n```function_plot\ny = x\n```"
+    result = asyncio.run(PdfExporter().export(parse_document(md), ExportOptions()))
+    assert result.content[:4] == b"%PDF"
+    assert any("mermaid" in w for w in result.warnings)
+    # function_plot 已内嵌为矢量图，不再产生「函数图像占位」warning
+    assert not any("函数图像" in w for w in result.warnings)
+    # 绘图用 STSong-Light 渲染刻度/标签，字体应嵌入 PDF
+    assert b"STSong-Light" in result.content
+
+
+def test_pdf_exporter_function_plot_fallback_on_error() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    # 解析失败（不安全表达式）应回退源码占位并记 warning，不阻断整篇导出
+    md = "```function_plot\ny = os.system('x')\n```"
+    result = asyncio.run(PdfExporter().export(parse_document(md), ExportOptions()))
+    assert result.content[:4] == b"%PDF"
+    assert any("函数图像" in w for w in result.warnings)
+
+
+def test_pdf_exporter_limits_function_plot_count() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    blocks = "\n\n".join("```function-plot\ny = x\n```" for _ in range(20))
+    result = asyncio.run(PdfExporter().export(parse_document(blocks), ExportOptions()))
+    assert result.content[:4] == b"%PDF"
+    # 超出数量上限的图块回退占位并记 warning
+    assert any("数量超过上限" in w for w in result.warnings)
+
+
+def test_pdf_exporter_limits_total_plot_nodes(monkeypatch) -> None:
+    import app.export.exporters._common as common_mod
+    from app.export.exporters.pdf import PdfExporter
+
+    monkeypatch.setattr(common_mod, "MAX_TOTAL_PLOT_NODES", 5)
+    md = "```function-plot\ny = x\n```\n\n```function-plot\ny = x + x + x + x\n```"
+    result = asyncio.run(PdfExporter().export(parse_document(md), ExportOptions()))
+    assert result.content[:4] == b"%PDF"
+    assert any("累计复杂度" in w for w in result.warnings)
+
+
+def test_docx_exporter_marks_plot_and_mermaid_as_placeholders() -> None:
+    from app.export.exporters.docx import DocxExporter
+
+    md = "```mermaid\ngraph LR\n```\n\n```function_plot\ny = x\n```"
+    result = asyncio.run(DocxExporter().export(parse_document(md), ExportOptions()))
+    assert result.content[:2] == b"PK"
+    assert any("mermaid" in w for w in result.warnings)
+    assert any("函数图像" in w for w in result.warnings)
+
+
+def test_pdf_exporter_embeds_cjk_font() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    doc = parse_document("# 进程调度\n\n一些中文正文。")
+    doc.attributes["title"] = "操作系统复习"
+    result = asyncio.run(PdfExporter().export(doc, ExportOptions(include_title=True)))
+    assert result.content[:4] == b"%PDF"
+    # 中文字体通过 STSong-Light CID 字体嵌入，PDF 内应引用该 BaseFont
+    assert b"STSong-Light" in result.content
+
+
+def test_docx_exporter_contains_cjk_text() -> None:
+    import zipfile
+    from io import BytesIO
+
+    from app.export.exporters.docx import DocxExporter
+
+    doc = parse_document("# 进程调度\n\n一些中文正文。")
+    result = asyncio.run(DocxExporter().export(doc, ExportOptions()))
+    with zipfile.ZipFile(BytesIO(result.content)) as zf:
+        xml = zf.read("word/document.xml")
+    assert "进程调度".encode("utf-8") in xml
+
+
+def _pdf_unescape(raw: bytes) -> bytes:
+    """反转义 PDF 字符串字面量（八进制转义与 \n \r \t 等）。"""
+    out = bytearray()
+    i = 0
+    n = len(raw)
+    while i < n:
+        b = raw[i]
+        if b == 0x5C and i + 1 < n:  # 反斜杠转义
+            nxt = raw[i + 1]
+            if 0x30 <= nxt <= 0x37:  # 八进制（如 \000）
+                j = i + 1
+                digits = bytearray()
+                while j < n and j < i + 4 and 0x30 <= raw[j] <= 0x37:
+                    digits.append(raw[j])
+                    j += 1
+                out.append(int(digits.decode(), 8) & 0xFF)
+                i = j
+                continue
+            simple = {0x6E: 0x0A, 0x72: 0x0D, 0x74: 0x09, 0x62: 0x08, 0x66: 0x0C}
+            out.append(simple.get(nxt, nxt))
+            i += 2
+            continue
+        out.append(b)
+        i += 1
+    return bytes(out)
+
+
+def _extract_pdf_text(content: bytes) -> str:
+    """从 PDF 内容流提取文本（仅测试断言用，非完整 PDF 文本提取）。
+
+    reportlab 对 CID 字体按 UTF-16BE（高位 0x00）编码，字符串写为 \000 前缀的八进制
+    转义；这里解码 ASCII85+flate 内容流、反转义字符串并去掉 0x00 还原 ASCII 正文。
+    """
+    chunks: list[str] = []
+    for m in re.finditer(rb"stream\r?\n(.*?)endstream", content, re.DOTALL):
+        raw = m.group(1).strip()
+        if raw.endswith(b"~>"):
+            raw = raw[:-2]
+        try:
+            dec = zlib.decompress(base64.a85decode(raw))
+        except Exception:
+            try:
+                dec = zlib.decompress(raw)
+            except Exception:
+                dec = raw
+        for sm in re.finditer(rb"\(((?:[^()\\]|\\.)*)\)\s*Tj", dec):
+            text = _pdf_unescape(sm.group(1))
+            if text.count(0) > len(text) // 4:
+                text = text.replace(b"\x00", b"")
+            chunks.append(text.decode("latin-1"))
+    return "".join(chunks)
+
+
+# --------------------------------------------------------------------------- #
+# 审阅回归：结构内容验证（不只校验魔法字节，还验证产物正文）
+# --------------------------------------------------------------------------- #
+def test_pdf_blockquote_preserves_content() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    # P2：引用块正文不能因「把块级子节点交给行内渲染器」而丢失
+    result = asyncio.run(
+        PdfExporter().export(parse_document("> quoted **content**"), ExportOptions())
+    )
+    text = _extract_pdf_text(result.content)
+    assert "quoted" in text
+    assert "content" in text
+    assert not any("无法表示" in w for w in result.warnings)
+
+
+def test_docx_blockquote_preserves_content() -> None:
+    import zipfile
+    from io import BytesIO
+
+    from app.export.exporters.docx import DocxExporter
+
+    result = asyncio.run(
+        DocxExporter().export(parse_document("> quoted **content**"), ExportOptions())
+    )
+    with zipfile.ZipFile(BytesIO(result.content)) as zf:
+        xml = zf.read("word/document.xml").decode("utf-8")
+    assert "quoted" in xml
+    assert "content" in xml
+    assert not any("无法表示" in w for w in result.warnings)
+
+
+def test_pdf_nested_list_parent_before_child() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    # P2：嵌套列表输出顺序颠倒——父级正文应在子列表之前
+    result = asyncio.run(
+        PdfExporter().export(parse_document("- parent\n  - child"), ExportOptions())
+    )
+    text = _extract_pdf_text(result.content)
+    assert text.index("parent") < text.index("child")
+
+
+def test_docx_nested_list_parent_before_child() -> None:
+    import zipfile
+    from io import BytesIO
+
+    from app.export.exporters.docx import DocxExporter
+
+    result = asyncio.run(
+        DocxExporter().export(parse_document("- parent\n  - child"), ExportOptions())
+    )
+    with zipfile.ZipFile(BytesIO(result.content)) as zf:
+        xml = zf.read("word/document.xml").decode("utf-8")
+    assert xml.index("parent") < xml.index("child")
+
+
+def test_pdf_nested_list_mixed_order_preserves_sequence() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    # P2：混合列表项（父段—子列表—后续段）应保持原始顺序，不能把所有正文挤到子列表之前
+    result = asyncio.run(
+        PdfExporter().export(parse_document("- parent\n\n  - child\n\n  after"), ExportOptions())
+    )
+    text = _extract_pdf_text(result.content)
+    assert text.index("parent") < text.index("child") < text.index("after")
+
+
+def test_pdf_list_item_preserves_inline_semantics() -> None:
+    from app.export.exporters.pdf import PdfExporter
+
+    # P2：列表项内的加粗与链接语义不能被「只渲染 children」而静默丢失
+    result = asyncio.run(
+        PdfExporter().export(parse_document("- **bold** [link](https://example.com)"), ExportOptions())
+    )
+    text = _extract_pdf_text(result.content)
+    assert "bold" in text
+    assert "link" in text
+    # 链接以 PDF 链接注解（/URI）保留，而非降级为纯文本
+    assert b"/URI" in result.content
+    assert b"example.com" in result.content
+    assert not any("链接协议不安全" in w for w in result.warnings)
+    assert not any("无法表示" in w for w in result.warnings)
+
+
+def test_docx_list_item_preserves_inline_semantics() -> None:
+    import zipfile
+    from io import BytesIO
+
+    from app.export.exporters.docx import DocxExporter
+
+    # P2：列表项内的加粗与链接语义应保留（w:b 加粗、w:hyperlink 可点击链接）
+    result = asyncio.run(
+        DocxExporter().export(parse_document("- **bold** [link](https://example.com)"), ExportOptions())
+    )
+    with zipfile.ZipFile(BytesIO(result.content)) as zf:
+        xml = zf.read("word/document.xml").decode("utf-8")
+        rels = zf.read("word/_rels/document.xml.rels").decode("utf-8")
+    assert "<w:b/>" in xml
+    assert "w:hyperlink" in xml
+    assert "example.com" in rels
+    assert not any("链接协议不安全" in w for w in result.warnings)
+    assert not any("无法表示" in w for w in result.warnings)
+
+
+def test_export_cancel_queued_job_waiting_for_slot(monkeypatch) -> None:
+    # P2：等待渲染槽位的任务取消后应立即进入 cancelled，不必等前面的渲染完成
+    import threading
+
+    real_render = export_service._render_document
+    release = threading.Event()
+    entered = 0
+    lock = threading.Lock()
+
+    def blocking_render(document, options, format):
+        nonlocal entered
+        with lock:
+            entered += 1
+        release.wait(timeout=5)
+        return real_render(document, options, format)
+
+    monkeypatch.setattr(export_service, "_render_document", blocking_render)
+
+    async def _go():
+        a = await export_service.create_export(_markdown_request("# a"))
+        b = await export_service.create_export(_markdown_request("# b"))
+        # 等 a/b 两个任务都拿到槽位并阻塞在渲染里
+        for _ in range(2000):
+            if entered >= 2:
+                break
+            await asyncio.sleep(0.001)
+        c = await export_service.create_export(_markdown_request("# c"))
+        await asyncio.sleep(0.01)  # 让 c 进入排队等待槽位
+        export_service.cancel_export(c.job_id)
+        finished_c = await export_service.wait_for_export(c.job_id)
+        release.set()  # 放行前面的任务，避免测试挂起
+        await asyncio.gather(
+            export_service.wait_for_export(a.job_id),
+            export_service.wait_for_export(b.job_id),
+        )
+        return finished_c
+
+    finished = asyncio.run(_go())
+    assert finished.status == ExportStatus.cancelled
+    assert finished.file is None
+
+
+def test_export_unknown_note_404() -> None:
+    request = ExportRequest(
+        source=ExportSource(type=ExportSourceType.note, note_id="note_missing"),
+        format=ExportFormat.html,
+    )
+    with pytest.raises(ApiError) as exc:
+        asyncio.run(export_service.create_export(request))
+    assert exc.value.status_code == 404
+    assert exc.value.code == "EXPORT_SOURCE_NOT_FOUND"
+
+
+def test_export_empty_markdown_invalid() -> None:
+    with pytest.raises(ApiError) as exc:
+        asyncio.run(export_service.create_export(_markdown_request("   ")))
+    assert exc.value.status_code == 400
+    assert exc.value.code == "EXPORT_OPTIONS_INVALID"
+
+
+def test_export_cancel_queued_job() -> None:
+    async def _go():
+        job = await export_service.create_export(_markdown_request("# x"))
+        cancelled = export_service.cancel_export(job.job_id)
+        assert cancelled is not None
+        return await export_service.wait_for_export(job.job_id)
+
+    finished = asyncio.run(_go())
+    assert finished.status == ExportStatus.cancelled
+    assert finished.file is None
+
+
+def test_export_file_expired_410() -> None:
+    async def _go():
+        job = await export_service.create_export(_markdown_request("# x"))
+        finished = await export_service.wait_for_export(job.job_id)
+        past = datetime.now(timezone.utc) - timedelta(hours=1)
+        export_service._jobs[job.job_id] = finished.model_copy(
+            update={"file": finished.file.model_copy(update={"expires_at": past})}
+        )
+        return job.job_id
+
+    job_id = asyncio.run(_go())
+    path = get_settings().exports_path / f"{job_id}.html"
+    with pytest.raises(ApiError) as exc:
+        export_service.get_export_file(job_id)
+    assert exc.value.status_code == 410
+    assert exc.value.code == "EXPORT_FILE_EXPIRED"
+    assert not path.exists()  # 过期即清理产物文件
+    assert export_service.get_export(job_id) is None  # 内存记录一并清理
+
+
+def test_export_eviction_deletes_file() -> None:
+    finished = _create_and_wait(_markdown_request("# 淘汰"))
+    victim_path = get_settings().exports_path / f"{finished.job_id}.html"
+    assert victim_path.exists()
+
+    # 塞满 MAX_JOBS 个终态任务，下一次 create 会淘汰最旧的终态（finished 最先插入）
+    for i in range(export_service.MAX_JOBS):
+        export_service._jobs[f"export_fake_{i}"] = ExportJob(
+            job_id=f"export_fake_{i}",
+            status=ExportStatus.completed,
+            format=ExportFormat.html,
+            created_at=datetime.now(timezone.utc),
+        )
+    _create_and_wait(_markdown_request("# 触发淘汰"))
+    assert not victim_path.exists()
+
+
+def test_cleanup_orphan_files() -> None:
+    exports_dir = get_settings().exports_path
+    exports_dir.mkdir(parents=True, exist_ok=True)
+    orphan = exports_dir / "export_orphan.html"
+    orphan.write_text("stale", encoding="utf-8")
+
+    finished = _create_and_wait(_markdown_request("# 保留"))
+    keep_path = exports_dir / f"{finished.job_id}.html"
+    assert keep_path.exists()
+
+    removed = export_service.cleanup_orphan_files()
+    assert removed >= 1
+    assert not orphan.exists()
+    assert keep_path.exists()  # 仍在注册表中的任务文件保留
+
+
+def test_export_cancel_during_running(monkeypatch) -> None:
+    import threading
+    import time
+
+    real_parse = parse_document
+    started = threading.Event()
+
+    def slow_parse(markdown: str):
+        started.set()
+        time.sleep(0.1)
+        return real_parse(markdown)
+
+    monkeypatch.setattr(export_service, "parse_document", slow_parse)
+
+    async def _go():
+        job = await export_service.create_export(_markdown_request("# 运行中取消"))
+        while not started.is_set():
+            await asyncio.sleep(0)
+        export_service.cancel_export(job.job_id)
+        return await export_service.wait_for_export(job.job_id)
+
+    finished = asyncio.run(_go())
+    assert finished.status == ExportStatus.cancelled
+    assert finished.file is None
+    assert not (get_settings().exports_path / f"{finished.job_id}.html").exists()
+
+
+def test_export_list_and_get() -> None:
+    finished = _create_and_wait(_markdown_request("# 列表测试"))
+
+    items, total = export_service.list_exports(limit=50, offset=0)
+    assert total == 1
+    assert items[0].job_id == finished.job_id
+
+    got = export_service.get_export(finished.job_id)
+    assert got is not None and got.status == ExportStatus.completed
+
+    assert export_service.get_export("export_missing") is None
+
+
+# --------------------------------------------------------------------------- #
+# 契约校验
+# --------------------------------------------------------------------------- #
+def test_export_source_requires_matching_field() -> None:
+    with pytest.raises(ValidationError):
+        ExportSource(type=ExportSourceType.note, note_id=None)
+    with pytest.raises(ValidationError):
+        ExportSource(type=ExportSourceType.markdown, markdown=None)
+
+
+# --------------------------------------------------------------------------- #
+# 审阅回归：资源上限
+# --------------------------------------------------------------------------- #
+def test_export_note_source_size_limit(monkeypatch) -> None:
+    # P1：note 源超出 MAX_MARKDOWN_CHARS 应在创建期拒绝，不进入后台渲染
+    from app.services import note_service
+
+    monkeypatch.setattr(export_service, "MAX_MARKDOWN_CHARS", 10)
+
+    async def _go():
+        note = await note_service.create_note(
+            title="超长笔记", markdown="a" * 20, folder="导出", tags=[]
+        )
+        return await export_service.create_export(
+            ExportRequest(
+                source=ExportSource(type=ExportSourceType.note, note_id=note.note_id),
+                format=ExportFormat.html,
+            )
+        )
+
+    with pytest.raises(ApiError) as exc:
+        asyncio.run(_go())
+    assert exc.value.status_code == 400
+    assert exc.value.code == "EXPORT_OPTIONS_INVALID"
+
+
+def test_export_output_too_large(monkeypatch) -> None:
+    # P1：产物超出 MAX_EXPORT_BYTES 应标记 failed 且不落盘
+    monkeypatch.setattr(export_service, "MAX_EXPORT_BYTES", 10)
+
+    finished = _create_and_wait(_markdown_request("# 产物超限"))
+    assert finished.status == ExportStatus.failed
+    assert finished.error_code == "EXPORT_OUTPUT_TOO_LARGE"
+    assert finished.file is None
+    assert not (get_settings().exports_path / f"{finished.job_id}.html").exists()
+
+
+def test_export_limits_concurrent_rendering(monkeypatch) -> None:
+    # P1：并发渲染受 MAX_CONCURRENT_RENDERS 限制，大量任务不会同时占满工作线程
+    import threading
+    import time
+
+    real_render = export_service._render_document
+    active = 0
+    peak = 0
+    lock = threading.Lock()
+
+    def slow_render(document, options, format):
+        nonlocal active, peak
+        with lock:
+            active += 1
+            peak = max(peak, active)
+        time.sleep(0.05)
+        with lock:
+            active -= 1
+        return real_render(document, options, format)
+
+    monkeypatch.setattr(export_service, "_render_document", slow_render)
+
+    async def _go():
+        jobs = [
+            await export_service.create_export(_markdown_request(f"# t{i}"))
+            for i in range(6)
+        ]
+        return [await export_service.wait_for_export(j.job_id) for j in jobs]
+
+    finished = asyncio.run(_go())
+    assert all(j.status == ExportStatus.completed for j in finished)
+    assert peak <= export_service.MAX_CONCURRENT_RENDERS
diff --git a/backend/tests/test_plot.py b/backend/tests/test_plot.py
new file mode 100644
index 0000000..5e547c3
--- /dev/null
+++ b/backend/tests/test_plot.py
@@ -0,0 +1,443 @@
+"""Function Plot 的解析与静态 SVG 渲染测试。
+
+覆盖 parser 的白名单表达式（幂/隐式乘法/函数/常量）、拒绝项（属性访问、任意调用等）、
+parse_source 指令与回退，以及 render 的 SVG 输出与 HTML 导出链路集成。
+"""
+
+from __future__ import annotations
+
+import asyncio
+import math
+
+import pytest
+
+from app.contracts import ExportOptions
+from app.export.exporters.html import HtmlExporter
+from app.export.markdown import parse_document
+from app.plot.parser import PlotParseError, evaluate, parse_expression, parse_source
+from app.plot.render import render_svg
+from app.plot.renderer import (
+    FunctionPlotStaticRenderer,
+    MermaidStaticRenderer,
+    StaticRenderRequest,
+)
+
+
+# --------------------------------------------------------------------------- #
+# 表达式解析
+# --------------------------------------------------------------------------- #
+def test_parse_expression_power_and_implicit_multiplication() -> None:
+    assert evaluate(parse_expression("x^2"), 3) == 9.0
+    assert evaluate(parse_expression("2^3"), 0) == 8.0
+    assert evaluate(parse_expression("2x+1"), 3) == 7.0
+    assert evaluate(parse_expression("2(x+1)"), 3) == 8.0
+    assert evaluate(parse_expression("(x+1)(x-1)"), 3) == 8.0
+
+
+def test_parse_expression_functions_and_constants() -> None:
+    assert evaluate(parse_expression("sin(0)"), 0) == 0.0
+    assert math.isclose(evaluate(parse_expression("sin(pi/2)"), 0), 1.0)
+    assert math.isclose(evaluate(parse_expression("ln(e)"), 0), 1.0)
+    assert evaluate(parse_expression("abs(-3)"), 0) == 3.0
+
+
+def test_parse_expression_rejects_unsafe() -> None:
+    unsafe = [
+        "os.system('x')",
+        "__import__('os')",
+        "foo(x)",
+        "eval('x')",
+        "x[0]",
+        "x.attr",
+        "lambda: 1",
+    ]
+    for expr in unsafe:
+        with pytest.raises(PlotParseError) as exc:
+            parse_expression(expr)
+        assert exc.value.diagnostic.code == "FUNCTION_PLOT_EXPRESSION_UNSAFE", expr
+
+
+def test_parse_expression_syntax_error() -> None:
+    with pytest.raises(PlotParseError) as exc:
+        parse_expression("x +")
+    assert exc.value.diagnostic.code == "FUNCTION_PLOT_PARSE_FAILED"
+
+
+# --------------------------------------------------------------------------- #
+# fenced 源码解析
+# --------------------------------------------------------------------------- #
+def test_parse_source_directives() -> None:
+    result = parse_source("domain: 0, 10\nrange: -1, 1\nxlabel: x\ngrid: false\ny = x^2")
+    assert result.plot is not None
+    assert result.plot.domain == (0.0, 10.0)
+    assert result.plot.range == (-1.0, 1.0)
+    assert result.plot.axes.xlabel == "x"
+    assert result.plot.axes.grid is False
+    assert len(result.plot.expressions) == 1
+    assert result.plot.expressions[0].expression == "x^2"
+
+
+def test_parse_source_bare_and_multi_expression() -> None:
+    result = parse_source("x^2\nsin(x)")
+    assert result.plot is not None
+    assert [e.expression for e in result.plot.expressions] == ["x^2", "sin(x)"]
+
+
+def test_parse_source_unknown_directive_warns() -> None:
+    result = parse_source("foo: bar\ny = x")
+    assert result.plot is not None  # 未知指令仅 warning，不阻断
+    assert any(d.severity == "warning" for d in result.diagnostics)
+
+
+def test_parse_source_error_returns_no_plot() -> None:
+    result = parse_source("y = os.system('x')")
+    assert result.plot is None
+    assert any(d.severity == "error" for d in result.diagnostics)
+
+
+# --------------------------------------------------------------------------- #
+# SVG 渲染
+# --------------------------------------------------------------------------- #
+def test_render_svg_contains_polyline_and_axes() -> None:
+    plot = parse_source("y = x^2").plot
+    rendered = render_svg(plot)
+    svg = rendered.content
+    assert "<svg" in svg
+    assert "<polyline" in svg
+    assert "<line" in svg  # 坐标轴/网格
+    assert "<script" not in svg
+    assert rendered.width == 640
+    assert rendered.height == 480
+
+
+def test_render_svg_multiple_functions() -> None:
+    plot = parse_source("y = x^2\ny = sin(x)").plot
+    rendered = render_svg(plot)
+    assert rendered.content.count("<polyline") >= 2
+
+
+def test_render_svg_labels() -> None:
+    plot = parse_source("xlabel: 时间\nylabel: 数值\ny = x").plot
+    rendered = render_svg(plot)
+    assert "时间" in rendered.content
+    assert "数值" in rendered.content
+
+
+# --------------------------------------------------------------------------- #
+# HTML 导出链路集成
+# --------------------------------------------------------------------------- #
+def test_html_exporter_embeds_function_plot_svg() -> None:
+    md = "```function-plot\ny = x^2\n```"
+    result = asyncio.run(HtmlExporter().export(parse_document(md), ExportOptions()))
+    html = result.content.decode("utf-8")
+    assert '<figure class="function-plot">' in html
+    assert "<svg" in html
+    assert "<polyline" in html
+
+
+def test_html_exporter_function_plot_fallback_on_error() -> None:
+    md = "```function-plot\ny = os.system('x')\n```"
+    result = asyncio.run(HtmlExporter().export(parse_document(md), ExportOptions()))
+    html = result.content.decode("utf-8")
+    assert '<pre class="function-plot">' in html
+    assert "<svg" not in html
+    assert any("函数图像" in w for w in result.warnings)
+
+
+# --------------------------------------------------------------------------- #
+# 审阅回归：浮点刻度 / 求值异常 / 无效范围
+# --------------------------------------------------------------------------- #
+def test_render_svg_huge_domain_ticks_bounded() -> None:
+    # P1：巨大 domain 下步长受浮点精度限制无法推进，刻度应有限而非死循环
+    plot = parse_source("domain: 10000000000000000, 10000000000000002\nrange: -1, 1\ny = 0").plot
+    rendered = render_svg(plot)
+    assert "<svg" in rendered.content
+
+
+def test_parse_expression_rejects_wrong_arg_count() -> None:
+    # P2：sin() / sin(1, 2) 应在解析期拒绝，而非求值期 TypeError
+    with pytest.raises(PlotParseError):
+        parse_expression("sin()")
+    with pytest.raises(PlotParseError):
+        parse_expression("sin(1, 2)")
+
+
+def test_render_svg_nonreal_samples_are_break_points() -> None:
+    # P2：x^0.5 在负数域产生复数，应作为断点处理，正半轴仍可绘制
+    plot = parse_source("domain: -4, 4\ny = x^0.5").plot
+    rendered = render_svg(plot)
+    assert "<polyline" in rendered.content
+
+
+def test_render_svg_invalid_range_falls_back() -> None:
+    # P2：退化 range（1, 1）应丢弃并自动采样，而非 ZeroDivisionError
+    plot = parse_source("range: 1, 1\ny = x").plot
+    rendered = render_svg(plot)
+    assert "<polyline" in rendered.content
+    assert any("range" in w for w in rendered.warnings)
+
+
+def test_render_svg_nonfinite_range_falls_back() -> None:
+    # P2：非有限 range 端点应丢弃并自动采样
+    plot = parse_source("range: nan, 1\ny = x").plot
+    rendered = render_svg(plot)
+    assert "<polyline" in rendered.content
+
+
+def test_html_exporter_function_plot_render_error_falls_back(monkeypatch) -> None:
+    # P2：渲染异常不阻断整篇导出，回退占位并记 warning
+    import app.plot.renderer as renderer_mod
+
+    def boom(plot):
+        raise RuntimeError("boom")
+
+    monkeypatch.setattr(renderer_mod, "render_svg", boom)
+    md = "```function-plot\ny = x\n```"
+    result = asyncio.run(HtmlExporter().export(parse_document(md), ExportOptions()))
+    html = result.content.decode("utf-8")
+    assert '<pre class="function-plot">' in html
+    assert any("渲染失败" in w for w in result.warnings)
+
+
+# --------------------------------------------------------------------------- #
+# 审阅回归：复杂表达式 / 极端数值范围
+# --------------------------------------------------------------------------- #
+def test_parse_expression_rejects_excessive_depth() -> None:
+    # P2：超长加法链的 AST 深度超限，应拒绝为 PlotParseError 而非触发 RecursionError
+    expr = "+".join(["1"] * 300)
+    with pytest.raises(PlotParseError) as exc:
+        parse_expression(expr)
+    assert exc.value.diagnostic.code == "FUNCTION_PLOT_EXPRESSION_UNSAFE"
+
+
+def test_parse_expression_rejects_excessive_nodes() -> None:
+    # P2：浅层但节点超限的表达式（满二叉树）应被节点数上限拦截
+    def balanced(depth: int) -> str:
+        if depth == 0:
+            return "x"
+        return f"({balanced(depth - 1)}+{balanced(depth - 1)})"
+
+    expr = balanced(10)  # ~2047 个节点，深度仅 ~10
+    with pytest.raises(PlotParseError) as exc:
+        parse_expression(expr)
+    assert exc.value.diagnostic.code == "FUNCTION_PLOT_EXPRESSION_UNSAFE"
+
+
+def test_html_exporter_function_plot_deep_expression_falls_back() -> None:
+    # P2：复杂表达式解析失败应回退占位，不阻断整篇导出
+    expr = "+".join(["1"] * 300)
+    md = f"```function-plot\ny = {expr}\n```"
+    result = asyncio.run(HtmlExporter().export(parse_document(md), ExportOptions()))
+    html = result.content.decode("utf-8")
+    assert '<pre class="function-plot">' in html
+    assert "<svg" not in html
+    assert any("函数图像" in w for w in result.warnings)
+
+
+def test_render_svg_extreme_domain_no_nan() -> None:
+    # P2：有限但跨度溢出的 domain 应回退安全范围，SVG 不得含 nan/inf
+    plot = parse_source("domain: -1e308, 1e308\nrange: -1, 1\ny = 0").plot
+    rendered = render_svg(plot)
+    assert "<svg" in rendered.content
+    assert "nan" not in rendered.content
+    assert "inf" not in rendered.content
+    assert any("domain" in w for w in rendered.warnings)
+
+
+def test_render_svg_extreme_range_no_nan() -> None:
+    # P2：有限但跨度溢出的 range 应回退自动范围，SVG 不得含 nan/inf
+    plot = parse_source("domain: -1, 1\nrange: -1e308, 1e308\ny = x").plot
+    rendered = render_svg(plot)
+    assert "<svg" in rendered.content
+    assert "nan" not in rendered.content
+    assert "inf" not in rendered.content
+    assert any("range" in w for w in rendered.warnings)
+
+
+# --------------------------------------------------------------------------- #
+# 审阅回归：函数/图像数量上限
+# --------------------------------------------------------------------------- #
+def test_parse_source_rejects_too_many_expressions() -> None:
+    # P1：单块表达式数量超限应整块回退，避免海量采样求值
+    source = "\n".join(f"y = x + {i}" for i in range(50))
+    result = parse_source(source)
+    assert result.plot is None
+    assert any(d.code == "FUNCTION_PLOT_TOO_MANY_EXPRESSIONS" for d in result.diagnostics)
+
+
+def test_html_exporter_limits_function_plot_count() -> None:
+    # P1：文档内函数图像数量超限，超出部分回退占位，不耗尽资源
+    blocks = "\n\n".join("```function-plot\ny = x\n```" for _ in range(20))
+    result = asyncio.run(HtmlExporter().export(parse_document(blocks), ExportOptions()))
+    html = result.content.decode("utf-8")
+    # 上限 16：前 16 个渲染为 SVG，其余 4 个回退占位
+    assert html.count('<figure class="function-plot">') == 16
+    assert html.count('<pre class="function-plot">') == 4
+    assert any("函数图像数量超过上限" in w for w in result.warnings)
+
+
+def test_html_exporter_limits_total_plot_nodes(monkeypatch) -> None:
+    # P1：文档级累计 AST 节点预算超限后，后续图像回退占位，防止组合复杂度耗尽 CPU
+    import app.export.exporters._common as common_mod
+
+    monkeypatch.setattr(common_mod, "MAX_TOTAL_PLOT_NODES", 5)
+    # 第一个图块 y=x（1 节点）在预算内；第二个图块 y=x+x+x+x（7 节点）累计超限
+    md = "```function-plot\ny = x\n```\n\n```function-plot\ny = x + x + x + x\n```"
+    result = asyncio.run(HtmlExporter().export(parse_document(md), ExportOptions()))
+    html = result.content.decode("utf-8")
+    assert html.count('<figure class="function-plot">') == 1
+    assert html.count('<pre class="function-plot">') == 1
+    assert any("累计复杂度" in w for w in result.warnings)
+
+
+# --------------------------------------------------------------------------- #
+# StaticRenderer 内部契约（§10.4）
+# --------------------------------------------------------------------------- #
+def test_function_plot_static_renderer_renders_svg() -> None:
+    renderer = FunctionPlotStaticRenderer()
+    result = renderer.render(StaticRenderRequest(kind="function_plot", source="y = x^2"))
+    assert "<svg" in result.content
+    assert "<polyline" in result.content
+    assert result.mime_type == "image/svg+xml"
+    assert result.width == 640
+    assert result.height == 480
+
+
+def test_function_plot_static_renderer_parse_exposes_node_count() -> None:
+    renderer = FunctionPlotStaticRenderer()
+    parsed = renderer.parse(StaticRenderRequest(kind="function_plot", source="y = x + x"))
+    assert parsed.plot is not None
+    assert parsed.plot.node_count > 0
+
+
+def test_function_plot_static_renderer_raises_on_no_plot() -> None:
+    renderer = FunctionPlotStaticRenderer()
+    request = StaticRenderRequest(kind="function_plot", source="y = os.system('x')")
+    with pytest.raises(ValueError):
+        renderer.render(request)
+
+
+def test_mermaid_static_renderer_returns_placeholder() -> None:
+    renderer = MermaidStaticRenderer()
+    result = renderer.render(StaticRenderRequest(kind="mermaid", source="graph LR"))
+    assert result.content == ""
+    assert any("mermaid" in w for w in result.warnings)
+
+
+# --------------------------------------------------------------------------- #
+# 共享几何与 reportlab 后端（PDF 内嵌函数图像）
+# --------------------------------------------------------------------------- #
+def test_compute_geometry_shares_pixel_segments() -> None:
+    from app.plot.render import compute_geometry
+
+    plot = parse_source("y = x^2\ny = sin(x)").plot
+    geo = compute_geometry(plot)
+    assert geo.width == 640
+    assert geo.height == 480
+    assert len(geo.polylines) == 2
+    assert geo.colors == ["#0969da", "#d1242f"]
+    assert geo.xticks and geo.yticks
+    for segments in geo.polylines:
+        assert segments
+        for seg in segments:
+            assert seg
+            for px, py in seg:
+                assert math.isfinite(px) and math.isfinite(py)
+                assert 0 <= px <= geo.width
+                assert 0 <= py <= geo.height
+
+
+def test_render_reportlab_builds_drawing() -> None:
+    from reportlab.graphics.shapes import Drawing, Group, Line, PolyLine, String
+
+    from app.plot.render_reportlab import render_drawing
+
+    plot = parse_source("xlabel: 时间\nylabel: 数值\ny = x^2").plot
+    drawing = render_drawing(plot, width=480)
+    assert isinstance(drawing, Drawing)
+    assert drawing.renderScale == 0.75  # 480 / 640
+    kinds = {type(c).__name__ for c in drawing.contents}
+    assert {"Line", "PolyLine", "String", "Group"} <= kinds
+    strings = [c for c in drawing.contents if isinstance(c, String)]
+    assert any(s.fontName == "STSong-Light" for s in strings)
+    assert any(s.text == "时间" for s in strings)
+    # ylabel 在旋转 Group 内
+    groups = [c for c in drawing.contents if isinstance(c, Group)]
+    assert groups
+    group_texts = [s.text for g in groups for s in g.contents if isinstance(s, String)]
+    assert "数值" in group_texts
+
+
+def test_render_reportlab_curves_are_finite_and_bounded() -> None:
+    from reportlab.graphics.shapes import PolyLine
+
+    from app.plot.render_reportlab import render_drawing
+
+    plot = parse_source("y = x").plot
+    drawing = render_drawing(plot)
+    polylines = [c for c in drawing.contents if isinstance(c, PolyLine)]
+    assert polylines
+    for pl in polylines:
+        pts = pl.points  # 扁平 [x0,y0,x1,y1,...]
+        for x, y in zip(pts[0::2], pts[1::2]):
+            assert math.isfinite(x) and math.isfinite(y)
+            assert 0 <= x <= 640
+            assert 0 <= y <= 480
+
+
+def test_compute_geometry_clips_curves_to_plot_rect() -> None:
+    # P2：显式 range 外的曲线应裁剪到绘图矩形，避免 PDF 中曲线覆盖页面其他内容
+    from app.plot.render import (
+        _PLOT_X0,
+        _PLOT_X1,
+        _PLOT_Y0,
+        _PLOT_Y1,
+        compute_geometry,
+    )
+
+    plot = parse_source("range: -1, 1\ny = 10*x").plot
+    geo = compute_geometry(plot)
+    assert geo.polylines
+    assert any(geo.polylines)  # 曲线穿越 range 后在绘图区内仍有可见段
+    for segments in geo.polylines:
+        for seg in segments:
+            assert seg
+            for px, py in seg:
+                assert _PLOT_X0 <= px <= _PLOT_X1
+                assert _PLOT_Y0 <= py <= _PLOT_Y1
+
+
+def test_render_reportlab_ylabel_within_drawing_bounds() -> None:
+    # P2：纵轴标签旋转后边界应落在 Drawing 范围内，不能甩到负 x 区域
+    from reportlab.graphics.shapes import Group, String
+
+    from app.plot.render_reportlab import render_drawing
+
+    plot = parse_source("ylabel: 数值\ny = x").plot
+    drawing = render_drawing(plot)
+    groups = [c for c in drawing.contents if isinstance(c, Group)]
+    ylabel_groups = [
+        g
+        for g in groups
+        if any(isinstance(s, String) and s.text == "数值" for s in g.contents)
+    ]
+    assert ylabel_groups
+    x0, y0, x1, y1 = ylabel_groups[0].getBounds()
+    assert 0 <= x0 <= x1 <= 640
+    assert 0 <= y0 <= y1 <= 480
+
+
+def test_compute_geometry_breaks_at_asymptote() -> None:
+    # P2：渐近点落在两个采样点之间时，两侧采样仍有限，若不断段会被 Liang-Barsky
+    # 裁剪成贯穿绘图区的伪竖线；这里断言不存在跨越上下边界的伪连接线段。
+    from app.plot.render import _PLOT_Y0, _PLOT_Y1, compute_geometry
+
+    plot = parse_source("domain: -1, 1\nrange: -10, 10\ny = 1/(x-0.013)").plot
+    geo = compute_geometry(plot)
+    assert any(geo.polylines)  # 渐近线两侧的曲线分支仍在绘图区内可见
+    full_height = _PLOT_Y1 - _PLOT_Y0
+    for segments in geo.polylines:
+        for seg in segments:
+            # 相邻点垂直跨度若接近整个绘图区高度，即为渐近线伪连接
+            for (_, py0), (_, py1) in zip(seg, seg[1:]):
+                assert abs(py1 - py0) < full_height * 0.5
diff --git a/backend/uv.lock b/backend/uv.lock
index 16eefd2..ebeb743 100644
--- a/backend/uv.lock
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 ]
 
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 name = "python-dotenv"
 version = "1.2.3"
@@ -646,6 +1038,19 @@ wheels = [
     { url = "https://files.pythonhosted.org/packages/2c/58/ca301544e1fa93ed4f80d724bf5b194f6e4b945841c5bfd555878eea9fcb/referencing-0.37.0-py3-none-any.whl", hash = "sha256:381329a9f99628c9069361716891d34ad94af76e461dcb0335825aecc7692231", size = 26766, upload-time = "2025-10-13T15:30:47.625Z" },
 ]
 
+[[package]]
+name = "reportlab"
+version = "4.5.1"
+source = { registry = "https://pypi.org/simple" }
+dependencies = [
+    { name = "charset-normalizer" },
+    { name = "pillow" },
+]
+sdist = { url = "https://files.pythonhosted.org/packages/4d/3f/b3861b7e40c9d66f4a04e018958d681d16b948bfd1963c962d43a8c23f66/reportlab-4.5.1.tar.gz", hash = "sha256:9fdf68f4de9171ec66acb4a5feed8f8ca2af43479e707a6fbb0daa75d88e5494", size = 3939748, upload-time = "2026-05-12T10:14:13.663Z" }
+wheels = [
+    { url = "https://files.pythonhosted.org/packages/a7/45/ea7fad10122440de6e845568d106bffdc456ca0e8a1d8ae10b46016087e4/reportlab-4.5.1-py3-none-any.whl", hash = "sha256:06fce8cb56c83307cfa4909cdf4e6a2ddbb44e5d6ef4d2edca896d7e9769f091", size = 1957812, upload-time = "2026-05-12T10:14:10.622Z" },
+]
+
 [[package]]
 name = "rpds-py"
 version = "2026.6.3"
diff --git a/docs/README.md b/docs/README.md
index cd393f3..8bca3fe 100644
--- a/docs/README.md
+++ b/docs/README.md
@@ -52,6 +52,7 @@
 - [AI Core 与 Agent Core 开发说明](development/AI-Core与Agent-Core开发说明.md)
 - [Knowledge 与 Retrieval Core 开发说明](development/Knowledge与Retrieval-Core开发说明.md)
 - [Benchmark 开发说明](development/Benchmark开发说明.md)
+- [Export 开发说明](development/Export开发说明.md)
 - [模型提供商与模型发现开发说明](development/模型提供商与模型发现开发说明.md)
 - [MCP Bridge 与 Plugin Host 开发说明](development/MCP-Bridge与Plugin-Host开发说明.md)
 - [独立 MCP Server 配置中心开发说明](development/独立MCP-Server配置中心开发说明.md)
diff --git a/docs/architecture/AI笔记软件技术栈说明-团队版-v2.3.md b/docs/architecture/AI笔记软件技术栈说明-团队版-v2.3.md
index e53323a..11e500f 100644
--- a/docs/architecture/AI笔记软件技术栈说明-团队版-v2.3.md
+++ b/docs/architecture/AI笔记软件技术栈说明-团队版-v2.3.md
@@ -2365,7 +2365,7 @@ Quality
 └── Retrieval 参数调优
 
 Content Output
-├── Markdown → HTML / PDF / DOCX
+├── Markdown → HTML（已实现）/ PDF / DOCX（暂缓）
 ├── Mermaid 编辑、预览与静态导出
 └── Function Plot 解析、预览与静态导出
 
@@ -2376,7 +2376,7 @@ Frontend Extension
 └── Plugin Settings UI
 ```
 
-上述列表描述第二阶段技术范围。多模态、MCP Bridge、Plugin Command/Settings、RAG Benchmark 和 Provider 增强已经实现；Agent Benchmark、内容导出、Mermaid/函数图像完整编辑导出及社区主题包仍以各自开发说明的状态为准。每项功能必须继续经过现有 Service、Contract、Permission 和 Adapter 边界，不因 Demo 需要在 Vue 组件、Router 或 Agent Runtime 中直接绑定第三方协议。
+上述列表描述第二阶段技术范围。多模态、MCP Bridge、Plugin Command/Settings、RAG Benchmark、Provider 增强与 Markdown → HTML 导出已经实现；Agent Benchmark、PDF/DOCX 导出、Mermaid/函数图像完整编辑导出及社区主题包仍以各自开发说明的状态为准。每项功能必须继续经过现有 Service、Contract、Permission 和 Adapter 边界，不因 Demo 需要在 Vue 组件、Router 或 Agent Runtime 中直接绑定第三方协议。
 
 第三阶段处理：
 
diff --git a/docs/contracts/第二阶段接口契约-开发版.md b/docs/contracts/第二阶段接口契约-开发版.md
index 7a25c77..39f3547 100644
--- a/docs/contracts/第二阶段接口契约-开发版.md
+++ b/docs/contracts/第二阶段接口契约-开发版.md
@@ -68,13 +68,13 @@
 | Benchmark | POST | `/api/benchmarks/agent/runs` | 暂缓 | 创建 Agent Benchmark（依赖 Agent Runtime 完成后交付） |
 | Benchmark | GET | `/api/benchmarks/runs` | 已实现 | 分页获取 Benchmark Run |
 | Benchmark | GET/POST | `/api/benchmarks/runs/{run_id}/*` | 计划新增 | 查询、订阅、取消和读取报告 |
-| Export | POST | `/api/exports` | 计划新增 | 创建 HTML/PDF/DOCX 导出任务 |
-| Export | GET | `/api/exports` | 计划新增 | 分页获取导出任务 |
-| Export | GET | `/api/exports/{job_id}` | 计划新增 | 查询导出任务 |
-| Export | GET | `/api/exports/{job_id}/file` | 计划新增 | 下载已完成产物 |
-| Export | POST | `/api/exports/{job_id}/cancel` | 计划新增 | 取消导出任务 |
+| Export | POST | `/api/exports` | 已实现（HTML/PDF/DOCX） | 创建导出任务；`html`/`pdf`/`docx` 三格式均已支持 |
+| Export | GET | `/api/exports` | 已实现 | 分页获取导出任务 |
+| Export | GET | `/api/exports/{job_id}` | 已实现 | 查询导出任务 |
+| Export | GET | `/api/exports/{job_id}/file` | 已实现 | 下载已完成产物 |
+| Export | POST | `/api/exports/{job_id}/cancel` | 已实现 | 取消导出任务 |
 | Theme | Host Contract | `ThemePackageService` | 计划新增 | 导入、预览、启停和卸载主题包 |
-| Renderer | 内部 Contract | `StaticRenderer` | 计划新增 | Mermaid/Function Plot 预览和导出复用 |
+| Renderer | 内部 Contract | `StaticRenderer` | 已实现 | Function Plot 后端静态 SVG 渲染 + PDF 矢量内嵌（共享几何）；Mermaid 返回占位；DOCX 保留源码占位 |
 
 ---
 
@@ -1080,6 +1080,8 @@ VECTOR_INDEX_REBUILD_REQUIRED
 
 ## 10. Export Service
 
+> 实现状态：HTML / PDF / DOCX 导出均已实现（`backend/app/export/`），`format` 支持 `html`/`pdf`/`docx` 三格式。`function-plot` 已支持静态 SVG 内嵌（HTML）与矢量图内嵌（PDF，经 `backend/app/plot/render_reportlab.py` 复用共享几何），解析或渲染失败时回退为源码占位并记录 warning；Mermaid 目前仍以占位代码块保留并记 warning。DOCX 为文本优先 v1，`function-plot` 与 Mermaid 保留源码占位并记 warning。
+
 ### 10.1 创建导出任务
 
 `POST /api/exports`，返回 `202 ExportJob`。
@@ -1090,7 +1092,7 @@ VECTOR_INDEX_REBUILD_REQUIRED
     "type": "note",
     "note_id": "note_123"
   },
-  "format": "pdf",
+  "format": "html",
   "options": {
     "theme_id": "light",
     "include_title": true,
@@ -1101,7 +1103,7 @@ VECTOR_INDEX_REBUILD_REQUIRED
 }
 ```
 
-`source.type` 首批支持 `note` 和 `markdown`。`markdown` 来源用于尚未保存的预览，字段大小受限且不持久化到 Trace。`format` 固定为 `html`、`pdf`、`docx`。
+`source.type` 首批支持 `note` 和 `markdown`。`note` 来源通过 `source.note_id` 引用已建索引笔记；`markdown` 来源用于尚未保存的预览，内容放在 `source.markdown` 字段，大小限制为 200 000 字符、不持久化到 Trace。`format` 可取 `html`、`pdf`、`docx`，三格式均已实现。
 
 响应：
 
@@ -1109,11 +1111,12 @@ VECTOR_INDEX_REBUILD_REQUIRED
 {
   "job_id": "export_123",
   "status": "queued",
-  "format": "pdf",
+  "format": "html",
   "progress": null,
   "file": null,
   "warnings": [],
   "error": null,
+  "error_code": null,
   "created_at": "2026-08-31T10:30:00Z",
   "started_at": null,
   "completed_at": null
@@ -1129,14 +1132,14 @@ VECTOR_INDEX_REBUILD_REQUIRED
 | POST | `/api/exports/{job_id}/cancel` | `OperationResponse` |
 | GET | `/api/exports/{job_id}/file` | 文件流 |
 
-下载响应设置正确 `Content-Type`、经过清理的 `Content-Disposition` 文件名和 `Content-Length`。未完成、失败或过期 Job 不返回空文件。
+下载响应设置正确 `Content-Type`、经过清理的 `Content-Disposition` 文件名和 `Content-Length`。未完成、失败或过期的 Job 不返回空文件：未完成/失败返回 `EXPORT_JOB_NOT_FOUND`（404），产物过期（超过 `expires_at`）返回 `EXPORT_FILE_EXPIRED`（410）。
 
 完成 Job 的 file：
 
 ```json
 {
-  "file_name": "操作系统复习.pdf",
-  "mime_type": "application/pdf",
+  "file_name": "操作系统复习.html",
+  "mime_type": "text/html",
   "size": 1048576,
   "sha256": "...",
   "expires_at": "2026-09-01T10:30:00Z"
@@ -1219,12 +1222,12 @@ interface StaticRenderResult {
 
 ```text
 EXPORT_SOURCE_NOT_FOUND
-EXPORT_FORMAT_UNSUPPORTED
 EXPORT_OPTIONS_INVALID
 EXPORT_RENDER_FAILED
 EXPORT_UNSUPPORTED_CONTENT
 EXPORT_JOB_NOT_FOUND
 EXPORT_FILE_EXPIRED
+EXPORT_OUTPUT_TOO_LARGE
 ```
 
 ---
diff --git a/docs/development/Export开发说明.md b/docs/development/Export开发说明.md
new file mode 100644
index 0000000..249e440
--- /dev/null
+++ b/docs/development/Export开发说明.md
@@ -0,0 +1,133 @@
+# Export 开发说明
+
+> 所属模块：Export Service（后端，负责人 yxx）。交付「多格式文档导出」：Markdown → HTML / PDF / DOCX 的完整生命周期与 function-plot 静态 SVG 渲染。契约对应 [第二阶段接口契约 §10](../contracts/第二阶段接口契约-开发版.md)。
+
+## 定位
+
+Export Service 把笔记或未保存的 Markdown 文本渲染为可下载的 HTML 文件。采用与 Benchmark 一致的「创建即返回 queued、后台 asyncio.Task 执行」的内存模型，产物带 24h 过期时间，过期后不可下载。导出是轮询式（无 SSE 事件流），客户端通过 `GET /api/exports/{job_id}` 轮询状态，完成后走 `GET /api/exports/{job_id}/file` 下载。
+
+## 模块布局
+
+```text
+backend/app/export/
+├── __init__.py        包说明
+├── document.py        Document AST 内部协议 + DocumentExporter Protocol + ExportResult
+├── markdown.py        mistune 'ast' renderer → Document AST
+├── exporters/
+│   ├── __init__.py
+│   ├── _common.py     共享工具（URL 协议校验 + 函数图像预算 + 占位 warning 文案 + 元数据格式化）
+│   ├── html.py        HtmlExporter（Document AST → 完整 HTML5）
+│   ├── pdf.py         PdfExporter（Document AST → PDF，reportlab）
+│   └── docx.py        DocxExporter（Document AST → DOCX，python-docx）
+└── service.py         ExportService（注册表 + 后台渲染 + 取消 + 产物生命周期）
+
+backend/app/plot/
+├── parser.py           函数图像表达式解析（白名单 AST）
+├── render.py           FunctionPlot → 共享几何（compute_geometry）+ 静态 SVG
+├── render_reportlab.py FunctionPlot → reportlab 矢量 Drawing（PDF 内嵌）
+└── renderer.py         StaticRenderer 内部契约（§10.4）
+```
+
+HTTP DTO（`ExportStatus` / `ExportFormat` / `ExportSource` / `ExportOptions` / `ExportJob` 等）放在 [app/contracts.py](../../backend/app/contracts.py)，与 Benchmark DTO 同层；`DocumentNode` / `ExportResult` 属导出器内部协议，放在 `export/document.py`，不进入 HTTP 契约。
+
+## 接口
+
+| 方法 | 路径 | 用途 |
+| --- | --- | --- |
+| POST | `/api/exports` | 创建导出任务（202） |
+| GET | `/api/exports?status=&format=&limit=&offset=` | 分页获取任务 |
+| GET | `/api/exports/{job_id}` | 查询任务状态 |
+| GET | `/api/exports/{job_id}/file` | 下载已完成产物 |
+| POST | `/api/exports/{job_id}/cancel` | 取消任务 |
+
+`source.type` 支持 `note`（引用已建索引笔记）与 `markdown`（未保存预览，字段为 `source.markdown`，上限 200 000 字符）。`format` 支持 `html` / `pdf` / `docx` 三种，经 `service._EXPORTERS` 注册表按格式分发到对应导出器。
+
+## Markdown → Document AST
+
+解析用 [mistune](https://github.com/lepture/mistune) 的内置 `renderer="ast"`（非自写 `BaseRenderer`），因为 mistune 的行内渲染按字符串拼接、无法承载结构化子节点；ast renderer 直接给出带 `children`/`attrs`/`raw` 的 token 树，`_AstMapper` 只做 token → `DocumentNode` 的搬运，不掺入任何 HTML。插件启用 `table`、`math`、`url`、`task_lists`。
+
+fenced code 按语言分流：`mermaid` → `mermaid` 节点、`function_plot`/`functionplot` → `function_plot` 节点，其余 → `code_block`（`attributes.language`）。`node_id` 按遍历顺序 `node_{seq:03d}` 生成，仅渲染内部使用，无需跨请求稳定。
+
+## HtmlExporter
+
+递归渲染 Document AST 为完整 HTML5 文档（`<!doctype html>` + `<head>` 内嵌基础 CSS + `<body>`），标题/正文/元信息文本一律 `html.escape`。`function_plot` 经 `FunctionPlotStaticRenderer` 解析为静态 SVG 内嵌（解析/渲染失败或超限时回退 `<pre class="function-plot">` 占位并记 warning），`mermaid` 无法静态表达，渲染为占位 `<pre class="mermaid">` 并记 warning，均不静默丢失；`code_theme` 仅作为代码容器 class，不引入 JS 高亮库。无法表示的节点统一 `warnings.append(...)` 跳过。
+
+## StaticRenderer 内部契约（§10.4）
+
+函数图像与 Mermaid 的静态渲染统一收敛到 `app/plot/renderer.py`：
+
+- `StaticRenderRequest`（`kind` / `source` / `source_hash` / `theme` / `width` / `height`）是统一的渲染请求载体，`source_hash` 供缓存/去重，`theme` 供主题化渲染。
+- `StaticRenderer` Protocol 定义 `render(request) -> StaticRenderResult`，导出器只面向协议，不直接调用 `render_svg`。
+- `FunctionPlotStaticRenderer` 委托 `parse_source` 解析 + `render_svg` 输出内嵌 SVG；`parse` 与 `render_plot` 拆开，供导出器在渲染前先拿 `node_count` 做文档级累计复杂度预算。
+- `MermaidStaticRenderer` 后端无 Mermaid 渲染能力，返回空占位结果并记 warning，交由前端渲染。
+
+## PDF / DOCX 导出器（v1 文本优先）
+
+`PdfExporter`（reportlab platypus）与 `DocxExporter`（python-docx）实现与 HtmlExporter 一致的同步 `render(document, options) -> ExportResult` + 异步 `export`。v1 为文本优先，覆盖标题/段落/行内强调与链接/列表/引用/表格/代码块/数学文本；`mermaid` 保留源码占位并记 warning。`function_plot` 在 PDF 中已内嵌为矢量图，在 DOCX 中仍保留源码占位并记 warning（DOCX 内嵌需栅格化，本轮范围外）。
+
+- PDF 中文字体用 reportlab 内置 `STSong-Light` CID 字体，无外部字体依赖；CID 字体无独立 bold/italic 字重，行内强调退化为普通文本（内容不丢、样式简化），标题靠字号区分层级。
+- PDF 的 `function_plot` 经 `render_reportlab` 消费 `compute_geometry` 的共享几何，产出矢量 `Drawing`（网格/坐标轴 `Line`、曲线 `PolyLine`、刻度/标签 `String`，ylabel 用 `Group` 旋转），再按页面内容宽缩放追加到 story，与 HTML 的 SVG 视觉一致；解析/渲染失败或超预算时回退源码占位并记 warning，单图失败不阻断整篇。
+- DOCX 通过 Normal 样式挂载 `w:eastAsia=宋体` 保证中文显示，bold/italic 由 Word 原生渲染；链接写入可点击的 `w:hyperlink` run。
+- 扩展名/MIME：html→`.html`/`text/html`，pdf→`.pdf`/`application/pdf`，docx→`.docx`/`application/vnd.openxmlformats-officedocument.wordprocessingml.document`；路由 `FileResponse` 按 `mime_type` + `file_name` 通用化，无需改路由。
+
+## 运行生命周期
+
+`queued → running → completed | failed | cancelled`。
+
+- 创建时校验：`note` 源不存在 → `EXPORT_SOURCE_NOT_FOUND`（404）；`markdown` 源为空或超上限 → `EXPORT_OPTIONS_INVALID`。
+- 内存注册表上限 `MAX_JOBS=100`，超限只淘汰终态任务；满容量且全为活动任务时返回 `EXPORT_CAPACITY_EXCEEDED`（429）。
+- 后台渲染在解析前后各让出一次执行权，使「创建后立即取消」的 queued 任务能及时进入 cancelled。
+- 失败只向公开响应暴露项目错误码与安全消息，详细异常进入日志。
+
+## 产物生命周期
+
+产物写入 `settings.exports_path`（默认 `backend/data/exports/`，可通过 `APP_EXPORTS_PATH` 覆盖，已加入 `.gitignore`），文件名为 `{job_id}{ext}`（`ext` 由格式决定），下载 `Content-Disposition` 用 `_safe_download_name` 清洗标题得到。`ExportFile` 记录 `sha256`、`size` 与 `expires_at`（`completed_at + 24h`），过期返回 `EXPORT_FILE_EXPIRED`（410）。
+
+## 资源上限
+
+为防止超大输入或海量函数图像耗尽内存/线程，导出链路内置以下上限：
+
+- 输入源（`note` 与 `markdown`）统一限制 `MAX_MARKDOWN_CHARS = 200_000` 字符，超限返回 `EXPORT_OPTIONS_INVALID`。
+- 单个 `function-plot` 图块最多 16 条表达式，超限整块回退占位并记结构化诊断 `FUNCTION_PLOT_TOO_MANY_EXPRESSIONS`。
+- 单篇文档最多 16 个函数图像，超出部分回退占位并记 warning。
+- 单篇文档累计函数图像 AST 节点预算 `_MAX_TOTAL_PLOT_NODES = 8000`，超出部分回退占位并记 warning，防止多图块 × 多表达式 × 深表达式组合在采样求值时长时间占满 CPU。
+- 并发渲染上限 `MAX_CONCURRENT_RENDERS = 2`，解析/渲染是 CPU 密集工作，超出限额的任务在内存中排队等待渲染槽位，避免大量任务同时占满工作线程与内存。
+- 最终产物大小上限 `MAX_EXPORT_BYTES = 20 MB`，超限任务标记 failed 并返回 `EXPORT_OUTPUT_TOO_LARGE`。
+
+## 错误码
+
+错误分两类：**同步错误**在创建/查询请求的 HTTP 响应里直接返回对应状态码；**异步任务错误**在创建时已返回 `202`，后续轮询 `GET /api/exports/{job_id}` 仍返回 `200`，错误通过任务状态与 `error_code` 字段暴露，**不映射 HTTP 状态码**。
+
+同步错误：
+
+```text
+EXPORT_SOURCE_NOT_FOUND      404
+EXPORT_OPTIONS_INVALID       400
+EXPORT_UNSUPPORTED_CONTENT   422（预留）
+EXPORT_JOB_NOT_FOUND         404
+EXPORT_FILE_EXPIRED          410
+EXPORT_CAPACITY_EXCEEDED     429
+```
+
+异步任务错误（轮询返回 `200`，字段形如 `{"status": "failed", "error_code": "..."}`）：
+
+```text
+EXPORT_RENDER_FAILED
+EXPORT_OUTPUT_TOO_LARGE
+```
+
+## 测试
+
+```powershell
+cd backend
+uv run pytest -q
+```
+
+`tests/test_export.py` 覆盖 Markdown 解析（标题/行内/列表/代码分流/表格/数学）、HTML 渲染（标签 + 转义 + warning）、Service 端到端（note 源与 markdown 源、PDF/DOCX 魔法字节与 CJK 字体、引用块正文与嵌套列表顺序等结构内容回归、排队任务取消、未知 note、取消、list/get、过期 410）与 `ExportSource` 契约校验。`tests/test_plot.py` 覆盖表达式解析/求值、SVG 渲染、共享几何 `compute_geometry`、`render_reportlab` 矢量 Drawing（Line/PolyLine/String/Group、CJK 字体、y 翻转、缩放）与 `StaticRenderer` 契约（函数图像渲染、Mermaid 占位）。
+
+## 范围外（后续 PR）
+
+- Mermaid 静态渲染（后端无渲染能力，HTML/PDF/DOCX 均保留源码占位）。
+- DOCX 内嵌函数图像（需栅格化为 PNG，本轮范围外，仅 PDF 内嵌矢量图）。
+- 函数图像交互预览与缩放（前端 JS Renderer 负责，后端仅提供静态 SVG）。
+- 代码语法高亮（当前仅 CSS class 占位）。