对应角证明两栏法

几何画板及绘图内容加载中，请稍等……

2015-09-28 05:16

角三角函数几何作图

①本范例演示了如何使用两栏法证明几何中的对应角相等；②涉及的核心数学概念包括对应角、平行线、同位角等；③作图要点——从下方『构造摘要』提炼用到了Segment（线段）、AttachCopyToView（对象复制）、text（文本）等GeoGebra命令/对象；④适合高中数学学生学习和理解几何证明方法。

GeoGebra 命令及参数

Segment(A, B) → a
Segment(C, D) → b
Segment(E, F) → c
AttachCopyToView(PolyLine[(16.06, 4.8599999999999985), (16.14, 4.8599999999999985), (16.22, 4.8599999999999985), (16.3, 4.8599999999999985), (16.38, 4.8599999999999985), (16.36, 4.799999999999999), (16.3, 4.7799999999999985), (16.240000000000002, 4.739999999999998), true], 1, (-4.3, -5.239999999999997), (22.8, 6.299999999999998), (0, 577), (1355, 0)) → stroke1
AttachCopyToView(PolyLine[(16.76, 4.019999999999999), (16.68, 4.019999999999999), (16.6, 4.019999999999999), (16.52, 4.019999999999999), (16.44, 4.019999999999999), (16.36, 4.019999999999999), (NaN, NaN), (16.740000000000002, 4.019999999999999), (16.72, 3.959999999999999), (16.7, 3.899999999999999), (16.68, 3.8399999999999994), (16.64, 3.7799999999999994), (16.62, 3.7199999999999993), (16.580000000000002, 3.6599999999999993), (NaN, NaN), (16.38, 4.879999999999999), (16.3, 4.879999999999999), (16.22, 4.879999999999999), (16.14, 4.879999999999999), (16.06, 4.879999999999999), (15.98, 4.879999999999999), (NaN, NaN), (16.38, 4.8599999999999985), (16.36, 4.799999999999999), (16.34, 4.739999999999998), (16.3, 4.679999999999999), (16.26, 4.619999999999999), true], 1, (-4.3, -5.239999999999997), (22.8, 6.299999999999998), (0, 577), (1355, 0)) → stroke2
Segment(G, H) → d
Segment(I, J) → e

AI 绘图提示语参考

画两条平行线，并在每条线上标出对应的角，展示它们相等的关系，用不同颜色区分平行线和角，并标注关键概念如对应角和同位角，适合高中几何证明学习。

以上提示语为根据原始绘图命令整理而来，仅供参考。