Edu Analytic Geometry

What it does

When your agent uses it

• Tasks that involve Math and symbolic computation
• Tasks that involve 3D graphics and WebGL

Example prompts

• “设含参 直线 x=my+c + 联立 + 韦达 + 换元/常数分离”
• “/edu-analytic-geometry”

Requirements

• Python 3

What it can do on your machine

Read from SKILL.md and the folder at commit 6a9c876. It shows what the files ask for, not the result of running them.

• Tool permissions

  Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

  From allowed-tools in the SKILL.md frontmatter.

• Runs code

  Ships 1 file in scripts/ (Python), which the agent can run.

  Shell commands in SKILL.md call:

  • python3
  • git

  From the folder's file list and the shell code blocks in SKILL.md.

• Network

  No URLs in SKILL.md. Its commands use git, which can reach the network depending on how they are called.

  From URLs in SKILL.md, links to its own repository left out.

• Credentials

  Names no API keys, tokens, secrets or passwords.

  From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Edu Analytic Geometry loads about 1.6k tokens when it runs, and up to ~5.2k if it reads all its reference files. Until then it costs about 185 tokens; SKILL.md has 350 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it

~185

When it runs · the whole SKILL.md, loaded when a task matches

~1.6k

With references · SKILL.md plus every file in references/, read only if the agent opens them

~5.2k

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); the scripts in this folder are not scanned.

SKILL.md

The full file from wy51ai/edulab at commit 6a9c876, republished under its Apache-2.0 licence (© wy51ai). 350 words, ~1,587 tokens.

name

edu-analytic-geometry

description

把一道解析几何题解成一个自包含的交互教学网页：左栏题面 + 动态控制台（一个 可变参数滑块驱动实时重算的几何量 + 理论范围/定值指示），中栏 KaTeX 分步解析，右栏 2D Canvas 动态几何画板（椭圆/双曲线/抛物线/圆 + 动直线/动点 + 向量 + 标注 + 画笔涂鸦）。 支持三入口——给定文字题、随机出题、上传题目图片识别后解题。覆盖求标准方程、弦长、向量 数量积范围/定值、三角形面积最值、定点、定值（斜率之积）、轨迹、离心率等题型，统一"设含参 直线 x=my+c + 联立 + 韦达 + 换元/常数分离"，并由 sympy 精确计算驱动（答案、坐标、步骤 数值、交互引擎的理论范围同源一致）。其它 agent 也可调用本技能生成此类网页。形态与 edu-solid-geometry 平行，但用 Canvas-2D + KaTeX（非 Three.js）。 触发词：解析几何, 圆锥曲线, 椭圆, 双曲线, 抛物线, 直线与圆锥曲线, 焦点弦, 弦长, 数量积取值范围, 向量数量积, 定点问题, 定值问题, 斜率之积, 三角形面积最值, 轨迹方程, 离心率, 解这道解析几何题, 随机出一道圆锥曲线题, 这张图里的解析几何题; analytic geometry, conic sections, ellipse, hyperbola, parabola, chord length, dot product range, fixed point, fixed value, locus, eccentricity, interactive analytic geometry solution page.

python3 lib/analytic_kernel.py      # 旗舰题内置断言自检

# 构建脚本放 /tmp（不要放 cwd）：/tmp/ag_build.py
import sys; sys.dont_write_bytecode = True            # 不生成 __pycache__
sys.path.insert(0, "<技能目录>/scripts")
import generate
from pathlib import Path
data = {"lesson": {...}, "steps": [...], "board": {...}}
out = Path.cwd() / "solution-<题目简述>.html"   # 唯一产物，落在用户当前目录
generate.render_html(data, out)

python3 -B /tmp/ag_build.py && rm -f /tmp/ag_build.py   # -B 不写字节码；跑完删临时脚本，cwd 只剩 .html

python3 -B scripts/generate.py list                      # 列出题型
python3 -B scripts/generate.py ellipse_dot_range ./sol.html
python3 -B scripts/generate.py all ./out_dir             # 全部题型

© wy51ai, Apache-2.0. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

SKILL.md and 6 other files (scripts, references) in skills/edu-analytic-geometry of wy51ai/edulab.

• SKILL.md
• lib/analytic_kernel.py
• lib/conics.py
• references/conventions.md
• references/problem-schema.md
• scripts/generate.py
• template/board.html

Open the folder on GitHubat commit 6a9c876

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in wy51ai/edulab, which our catalogue first saw on October 7, 2026.

• mingchen666/Revivaelectron/builtin-assets/skills/edu-analytic-geometry