edulab
简体中文 · English
A collection of education skills that turn academic problems into interactive lesson web pages.
Install
Recommended — install with skills in one command:
npx skills add wy51ai/edulab
To update to the latest version later:
npx skills update
Or use it as a Claude Code plugin marketplace:
/plugin marketplace add wy51ai/edulab
/plugin install edulab
Once installed, the skills activate on their trigger words, and can also be invoked manually.
Skill: edu-solid-geometry
Solves one solid geometry problem into a self-contained interactive lesson page. Three entry points:
| Entry point | What it does |
|---|
| Text problem | Extracts the statement and solves directly |
| Image upload | Reads the problem from the image via vision, echoes it back for confirmation, then solves |
| Random problem | Solves with random parameters; re-rolls if the answer isn't clean |
Problem types covered: line-plane angle, dihedral angle, angle between skew lines, point-to-plane distance, volume, and more — on cubes / cuboids, pyramids / prisms, cylinders / cones. All solved uniformly via the "coordinate system + vector method."
Trigger words: solid geometry, line-plane angle, dihedral angle, angle between skew lines, distance to plane, interactive geometry solution page; 立体几何、线面角、二面角、异面直线、点到平面距离、正四棱锥、解这道几何题、随机出一道立体几何题、这张图里的立体几何题, etc.
Dependency
The compute core lib/geometry_kernel.py depends on sympy. Use any python3 that can import sympy:
python3 -m pip install sympy # if sympy is missing
Generate from the command line (without Claude)
cd skills/edu-solid-geometry
python3 scripts/generate.py cube ./cube.html # cube · line-plane angle
python3 scripts/generate.py box ./box.html # cuboid · volume
python3 scripts/generate.py random 7 ./random.html # random problem (seed=7)
python3 lib/geometry_kernel.py # kernel built-in self-check
If you don't pass an output path, it writes to the current working directory (cwd).
Skill: edu-analytic-geometry
Solves one analytic geometry (conic sections) problem into a self-contained interactive lesson page. Same three entry points as above (text / image / random). Built on a 2D Canvas board + KaTeX with a generic, data-driven interactive engine: a parameter slider drives derived constructions (line∩conic, point-on-conic, central reflection, tangent…) and live readouts, with a theoretical-range bar or a fixed-value indicator.
Problem types covered: standard equation, chord length, dot-product range / fixed value, triangle-area extremum, fixed point, fixed value (slope product), locus, tangent, eccentricity — on ellipses / hyperbolas / parabolas / circles. All solved uniformly via "parametrized line x = my + c + system + Vieta's formulas + substitution."
A correctness note baked into the kernel: open/closed interval endpoints are decided by whether a real line attains them, so the boxed answer always matches what the interactive tool shows (e.g. the ellipse MA·MB range is the closed [-3, 7/4] — slide θ to 0° and you read exactly −3).
Trigger words: analytic geometry, conic sections, ellipse, hyperbola, parabola, chord length, dot product range, fixed point, fixed value, locus, eccentricity, interactive analytic geometry solution page; 解析几何、圆锥曲线、椭圆、双曲线、抛物线、焦点弦、向量数量积取值范围、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, etc.
Dependency
The compute core lib/analytic_kernel.py depends on sympy (same as above).
Generate from the command line (without Claude)
cd skills/edu-analytic-geometry
python3 scripts/generate.py list # list registered problem types
python3 scripts/generate.py ellipse_dot_range ./sol.html # ellipse · MA·MB range [-3, 7/4]
python3 scripts/generate.py parabola_dot_const ./sol.html # parabola focal chord · OA·OB ≡ -3
python3 scripts/generate.py all ./out_dir # all registered types
python3 lib/analytic_kernel.py # kernel built-in self-check
Like above, no output path → writes to the current working directory (cwd).
How it works
