Learning & Education
把一道立体几何题解成一个自包含的交互教学网页：左侧 MathJax 分步解析， 右侧 Three.js 可交互 3D 模型（分步高亮 + 镜头切换）。支持三种入口——给定文字题目、 随机出题、上传题目图片识别后解题。覆盖正方体/长方体、棱锥/棱柱、圆柱/圆锥上的线面角、 二面角、异面直线夹角、点到平面距离、体积等题型，统一用"建系+向量法"，并由 sympy 精确 计算驱动（答案、3D 坐标、步骤数值同源一致）。其他 agent 也可调用本技能生成此类网页。 触发词：立体几何, 线面角, 二面角, 异面直线, 点到平面距离, 正四棱锥, 正方体求角, 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; solid geometry, line-plane angle, dihedral angle, angle between skew lines, distance to plane, interactive geometry solution page.
Publisher / source
wy51ai/edulab (found on GitHub top repositories)
Upstream record
Version
Version 1
Published
2026-11-11
Publication review
Approved for publication
Content fingerprint
d3ac945d78ee0bc1108f60d853668a3bd2256c63771afd275b201c779252db71
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