** 수학 문제 (특히 기하학)로 전환하는 Cursor Agent Skill GeoGebra .ggb 파일**. 각 그림에 대해 ** 세** 파일을 내장 SAME 의존성 변형된 건축:

• a ** a** (정밀한) - 인쇄 된 그림은 정확히 재현 (점, 세그먼트 및 각도 마크 만 더 적은);
• a** a** (클립 인터렉티브) — text/aids/visible helper circle이 없는 동일한 print-identical 보기, 그러나 완전히 보존된 각 조건으로 끌기;
• a ** a理 a** (dynamic teaching) - 동일한 기본 플러스 보조 라인, 주석, 및 [显示辅助 toggle에 라이브 각도 / 길이 읽기 - 정확한 원본에 반환하지.

모든 3은 실제 제약으로의 상태를 인코딩합니다 (콘크롤, 교차로, 반사, 중간 지점, 나선형 유사성, locus…), 그래서 드라이버 포인트를 드래그 만족한 각 상태. 정확한 재생은 Measuring에 의해 시행됩니다. 원본 이미지 (never eyeballing) 및 임시 측정 개체를 추가하여 수출하기 전에 ** 완료된 **가 있는 좌표/장/각을 확인합니다. 파일은 원본을 정확히 일치합니다.

Math2GGB

A Cursor Agent Skill that turns a math problem (especially geometry) into GeoGebra .ggb files. For each figure it produces three files built from the SAME dependency-constrained construction:

• a 静态复刻图 (static faithful) — the printed figure reproduced exactly (only its points, segments, and angle marks, no more no less);
• a 干净可交互图 (clean interactive) — the same print-identical look with no text/aids/visible helper circles, but fully draggable with every condition preserved;
• a 动态理解图 (dynamic teaching) — the same base plus auxiliary lines, annotations, and live angle/length readouts on a 显示辅助 toggle — unchecking it returns to the exact original.

All three encode the problem’s conditions as real constraints (concyclic, intersection, reflection, midpoint, spiral similarity, locus…), so dragging a driver point keeps every condition satisfied. Precise reproduction is enforced by measuring the original image (never eyeballing) and by adding temporary measurement objects to verify coordinates/lengths/angles, which are deleted before export so the final file matches the original exactly.

It works by driving the real GeoGebra engine in a browser (GeoGebra’s own JS API) and exporting with getBase64(), so the produced files always open in GeoGebra — no fragile hand-written XML.

Install

Copy this folder into your Cursor skills directory:

# Personal (all projects):
cp -R Math2GGB ~/.cursor/skills/math2ggb

# or Project (this repo only):
cp -R Math2GGB /.cursor/skills/math2ggb

Then just ask the agent, e.g. “把这道几何题做成 GeoGebra 文件” / “make an interactive GeoGebra of this problem”.

Layout

Math2GGB/
├── SKILL.md                          # main orchestration (stages A–E)
├── references/
│   ├── geogebra-recipes.md           # commands, JS API, image-measuring, condition→constraint table, gotchas
│   └── example-hidden-circle.md      # verified example (静态复刻图 + 干净可交互图 + 动态理解图)
├── scripts/
│   └── ggb_server.py                 # serves generator + receives exported .ggb
└── templates/
    └── generator.html                # loads the real GeoGebra engine (AG layout)

Requirements

• A browser tool (navigate, evaluate JS, screenshot).
• Internet (the generator page loads GeoGebra from geogebra.org’s CDN).
• python3.

Opening the output on macOS

The App Store GeoGebra Classic 6 is sandboxed: double-clicking a .ggb (or passing it on the command line) shows a blank window. Open via ☰ menu → Open → From this device → pick the file, or drag the file onto the GeoGebra window. The web app (geogebra.org/classic) opens files normally.