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菱形的对角线 by Gail Kliewer

菱形的对角线 by Gail Kliewer
几何画板及绘图内容加载中，请稍等……
2016-03-30 23:39
多边形角变换几何作图
这个范例演示菱形的对角线性质。涉及的核心数学概念包括菱形的对角线互相垂直平分。作图要点包括使用Point, Segment, Line, Mirror, Polygon, Intersect, Distance, LineBisector, Angle等命令。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Point(Circle[A, 3]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 3]) → C
  4. Segment(A, C) → b
  5. Line(C, B) → c
  6. Mirror(A, c) → A'
  7. Polygon(A, C, A', B) → poly1, a_1, c_1, a', b_1
  8. Segment(C, B) → d
  9. Segment(A', A) → e
  10. Intersect(d, e) → D
  11. Distance(A', D) → distanceA'D
  12. Distance(D, A) → distanceDA
  13. Distance(B, D) → distanceBD
  14. Distance(D, C) → distanceDC
  15. Segment(E, F) → f
  16. LineBisector(f) → g
  17. Point(g) → G
  18. Mirror(G, f) → G'
  19. Polygon(G, F, G', E) → poly2, g_1, f_1, g', e_1
  20. Segment(G, G') → h
  21. Intersect(f, h) → H
  22. Angle(F, H, G) → α
  23. Angle(G, H, E) → β
  24. Angle(E, H, G') → γ
  25. Angle(G', H, F) → δ