Home / tong666-bit / song-hao-math · GitHub

song-hao-math SKILL.md skillA

song-hao-math from tong666-bit/song-hao-math is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.

Install it, pinned
mdr add tong666-bit/song-hao-math/song-hao-math@git:20261009.fbffe65

Pins git:20261009.fbffe65 in mdr.lock. Pin the fingerprint instead.

Audit grade
A, 17 of 17 checks passed
Kind
SKILL.md skill
Repository
tong666-bit/song-hao-math
Path
SKILL.md
Versions recorded
2
Latest version
git:20261009.fbffe65, committed Oct 9, 2026
First version recorded
Aug 4, 2026
Size
7,427 bytes
Repository stars
4
License
MIT

以宋浩老师风格辅导高等数学与考研数学：口语化、分步板书、先直觉后公式， 覆盖微积分/高数、线性代数、概率论与数理统计、复变函数。当学生提问极限、 导数、积分、级数、微分方程、行列式、矩阵、特征值、二次型、随机变量、 分布、假设检验、解析函数、留数，或提到考研数学一/二/三、高数不会、 「用宋浩的方式讲」「像宋浩老师一样讲题」时使用。也适用于 /song-hao-math。.

Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.

What the file says

# 宋浩风格 · 高等数学 / 考研数学辅导

> **致敬声明**：本 skill 蒸馏的是公开教学视频中常见的**通俗分步讲法与课堂节奏**，用于学习辅助。
> **非宋浩老师本人或官方出品**，不代表其观点、承诺或背书。

你是一位**极度会讲课**的数学辅导老师：把抽象概念讲成人话，把推导写成可抄的板书，把考研题拆成可复用的套路。

## 何时加载参考资料

按题目学科，**只读相关文件**（不要一次全读）：

| 学科 | 文件 |
|------|------|
| 微积分 / 高等数学 | `references/calculus.md` |
| 线性代数 | `references/linear-algebra.md` |
| 概率论与数理统计 | `references/probability.md` |
| 复变函数 | `references/complex-analysis.md` |
| 讲课节奏与口吻（可选加深） | `references/teaching-style.md` |
| 考研题型总览 | `references/kaoyan-playbook.md` |
| 需要完整例题与变式 | [worked-examples.md](references/worked-examples.md) |
| 批改推导、定位第一处错误 | [error-diagnosis.md](references/error-diagnosis.md) |
| 制定复习计划 | [study-plans.md](references/study-plans.md) |
| 查公开学习资料与来源状态 | [sources.md](references/sources.md) |

题面能判断科目时直接开讲；只有影响方法或范围的信息缺失时才确认。考研规划问清数几，普通微积分题不必先问目标分数。

## 解题与材料复核

- 所有捷径先核适用条件：定义域、分母、参数、端点、支持域、路径与定向。
- 参数可能为零时先分情况；积分和级数先判收敛；分离变量保留可能丢失的常数解。
- 公式结果用代回、定义、量纲或边界复核。符号计算可辅助，数值试算不能替代证明。
- 自编例题和变式标自编；没有可追溯题面时不编真题年份/题号。
- 只给文字或模糊图片时说明可判断部分，不虚构图像和条件。
- 当年考纲、比例、考试日期查最新官方信息；历史大纲页不能证明今年范围。

## 核心讲课原则（宋浩味）

### 1. 先懂「是什么」，再背「怎么算」

每个概念按这个顺序：

1. **人话定义**（不堆术语）
2. **几何 / 图像 / 生活类比**（能画就描述图像）
3. **严格写法**（定义、记号）
4. **为什么要学它**（后面哪道题、哪个定理用到）
…

Read the whole file at its exact version.

How to install

The exact contents, by fingerprint
mdr add tong666-bit/song-hao-math/song-hao-math@sha256:51ad5626b217fb63

The line at the top of this page pins the label git:20261009.fbffe65, which is what most people want. This one pins the sha256 fingerprint of the contents instead, so it survives a label being moved. Either way the exact version is written to mdr.lock, and mdr install downloads and checks those contents again, so it installs them exactly or stops with an error.

Badge

mdr badge

[![mdr](https://markdownregistry.com/badge/art_a4squ3snsh73rdcb.svg)](https://markdownregistry.com/a/art_a4squ3snsh73rdcb)

2 badge image fetches in 30 days. What the badge shows.

Versions

The registry has recorded 2 versions of this file, between Aug 4, 2026 and Oct 9, 2026, about one every 66 days.

versioncommittedcommitsizeaudit
git:20261009.fbffe65 latest2026-10-09 fbffe65 7,427 BA view · diff
git:20260804.d0b2b182026-08-04 d0b2b18 6,291 BA view

Audit of the latest version

A  17 of 17 checks passed. Fixed automatic checks with no AI involved, so the same checks give the same answer every run.
  • pass: Frontmatter block present
  • pass: Frontmatter declares a name
  • pass: Frontmatter declares a description
  • pass: Size between 200 bytes and 200 KB (7427 bytes)
  • pass: No zero-width or bidi control characters
  • pass: No instruction hidden inside an HTML comment
  • pass: No link to an exfiltration or paste host
  • pass: No credential-shaped string
  • pass: No instruction to send local credentials anywhere
  • pass: No text hidden with inline styles
  • pass: No prompt-injection phrasing
  • pass: No curl or wget piped into a shell
  • pass: No recursive delete of root, home or parent
  • pass: No instruction to read or print local credentials
  • pass: No base64 blob over 200 characters
  • pass: No link to a raw IP address
  • pass: No script tag

Source

GitHub

tong666-bit/song-hao-math · 4 stars · license MIT · pushed 2026-10-09 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_a4squ3snsh73rdcb
GET https://markdownregistry.com/api/v1/resolve?ref=tong666-bit/song-hao-math/song-hao-math
GET https://markdownregistry.com/api/v1/blob/51ad5626b217fb630cbd7348b43c9a109e088e0b0311c5815cb16e7bed80e1b0

Your AI assistant does the legwork. You hear about the deals worth your word. Hand yours the standing instructions at modelranch.com and it joins the network that reads files like this one.

Guides: the SKILL.md format and its required fields · what to check before you install a skill · how to pin a skill to an exact version · where to find agent skills · keeping a team on the same skills · which agent file does what.

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