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同旁内角定理的逆定理

同旁内角定理的逆定理
几何画板及绘图内容加载中，请稍等……
2015-09-30 10:00
测试改名0角几何作图
这个范例演示了同旁内角定理的逆定理。它涉及的核心数学概念是角的关系。通过使用GeoGebra命令如AttachCopyToView、Segment等，可以构造出两个直线被第三条直线所截，形成的同旁内角相加为180度的几何图形。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. AttachCopyToView(PolyLine[(-1.74, 3.2199999999999993), (-1.6600000000000001, 3.2199999999999993), (-1.58, 3.2199999999999993), (-1.5, 3.2199999999999993), (-1.42, 3.2199999999999993), (NaN, NaN), (-0.96, 3.2199999999999993), (-0.88, 3.2199999999999993), (-0.8200000000000001, 3.1999999999999997), (-0.74, 3.1999999999999997), (-0.68, 3.1799999999999997), (-0.6, 3.1799999999999997), true], 1, (-4.3, -5.299999999999996), (22.8, 6.239999999999998), (0, 577), (1355, 0)) → stroke1
  2. Segment(A, B) → a
  3. Segment(C, D) → b
  4. Segment(E, F) → c
  5. Segment(G, H) → d
  6. Segment(I, J) → e
  7. AttachCopyToView(PolyLine[(-1.8800000000000003, -3.759999999999997), (-1.8200000000000003, -3.739999999999997), (-1.7400000000000002, -3.739999999999997), (-1.6600000000000004, -3.739999999999997), (-1.5800000000000003, -3.739999999999997), (-1.5000000000000004, -3.739999999999997), (-1.4200000000000004, -3.739999999999997), (NaN, NaN), (-1.1200000000000003, -3.719999999999997), (-1.0400000000000005, -3.719999999999997), (-0.9600000000000004, -3.719999999999997), (-0.8800000000000004, -3.719999999999997), (-0.8200000000000004, -3.739999999999997), true], 1, (-4.22, -5.299999999999996), (22.879999999999995, 6.239999999999998), (0, 577), (1355, 0)) → stroke2