12zcc-high-school-math-skill-high-school-math-rule.ocm.json json Copy{
"ocm": "1",
"id": "12zcc-high-school-math-skill-high-school-math-rule",
"kind": "skill",
"name": "high-school-math",
"description": "高中数学专题文档生成、数学建模、LaTeX 数学文档、数学问题解答的规范(面向人教版A版、基础较弱学生)。触发词:高中数学, 数学专题, 辅导文档, 数学建模, LaTeX, 圆锥曲线, 空间向量, 直线和圆, 讲义, 试卷。",
"publisher": "12zcc",
"version": "1.0.0",
"capabilities": {
"domains": [
"general"
],
"tags": [
"skill-md",
"github-cursor-rules"
],
"languages": [
"en"
]
},
"quality_prior": 0.6,
"examples": [
"高中数学专题文档生成、数学建模、LaTeX 数学文档、数学问题解答的规范(面向人教版A版、基础较弱学生)。触发词:高中数学, 数学专题, 辅导文档, 数学建模, LaTeX, 圆锥曲线, 空间向量, 直线和圆, 讲义, 试卷。"
],
"primary": false,
"metadata": {
"source": {
"provider": "github-cursor-rules",
"repository": "https://github.com/12zcc/high-school-math-skill",
"path": ".cursor/rules/high-school-math.mdc",
"ref": "eef483aa2a774e537889e207a6c399e458e79e17",
"url": "https://github.com/12zcc/high-school-math-skill/blob/eef483aa2a774e537889e207a6c399e458e79e17/.cursor/rules/high-school-math.mdc",
"key": "12zcc/high-school-math-skill/.cursor/rules/high-school-math.mdc"
},
"applies_to": [
"**/*.md",
"**/*.tex",
"**/*.py",
"**/*.docx"
]
},
"instructions": "# 高中数学专题文档与数学问题规范\n\n完整规范见仓库根 `AGENTS.md`。以下是快速要点:\n\n## 文档生成(.docx)\n结构:标题页 → 知识梳理(知识网络/概念精讲/公式表/误区辨析/重点提示)→ 专题 → 考点(讲解 + 例题1道 + 实战5道带星级★☆☆/★★☆/★★★及答案)→ 每专题1个拓展。例题编号全文档连续,每考点=1例题+5实战,生成后校验编号连续与答案齐全。\n\n## 数学正确性\n- 每题验算:代入回代、三角不等式、量纲一致。\n- 公式对照教材:椭圆 a²=b²+c²,双曲线 c²=a²+b²,抛物线 y²=2px 焦点 (p/2,0)。\n- 不确定数值显式推导或标注\"示例值\"。\n\n## 数学建模(论文对齐 CUMCM 官方格式)\n摘要(≤1页) → 关键词(3~5) → 问题重述 → 问题分析 → 模型假设 → 符号说明 → 模型建立与求解 → 模型检验(误差/灵敏度) → 模型评价与推广 → 参考文献(GB/T 7714) → 附录(可运行代码+PNG)。公式/图表编号并正文引用;求解用 Python(numpy/scipy/sympy/matplotlib);书面化、忌口语化。\n\n## LaTeX\n中文用 ctexart + amsmath/amssymb/geometry/booktabs;公式 `align` 对齐;tikz 画图;完成后编译验证",
"cost": {
"context_tokens": 150
}
}