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菱形性质 by Jeff Rice

菱形性质 by Jeff Rice
几何画板及绘图内容加载中，请稍等……
2020-02-11 09:05
多边形角几何作图
这个范例演示菱形的性质。涉及的核心数学概念包括几何、菱形、交点和中点。通过使用GeoGebra命令如Segment、Circle、Intersect等，可以构造菱形并测量其边长、角度和对角线。适合初中及以上学生学习几何作图和性质探索。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Circle(A, Distance[A, B]) → c
  3. Point(c) → D
  4. Segment(A, D) → g
  5. Circle(D, Distance[A, D]) → d
  6. Circle(B, Distance[A, B]) → e
  7. Intersect(d, e, 2) → C
  8. Segment(B, C) → h
  9. Segment(C, D) → i
  10. Distance(A, B) → distanceAB
  11. Distance(B, C) → distanceBC
  12. Distance(C, D) → distanceCD
  13. Distance(A, D) → distanceAD
  14. Segment(A, C) → j
  15. Segment(B, D) → k
  16. Intersect(j, k) → E
  17. Distance(A, C) → distanceAC
  18. Distance(B, D) → distanceBD
  19. Distance(A, E) → distanceAE
  20. Distance(B, E) → distanceBE
  21. Distance(C, E) → distanceCE
  22. Distance(D, E) → distanceDE
  23. Angle(A, B, C) → α
  24. Angle(B, C, D) → β
  25. Angle(C, D, A) → γ
  26. Angle(D, A, B) → δ
  27. Angle(A, E, D) → ε
  28. Angle(A, B, E) → ζ
  29. Angle(E, B, C) → η
  30. Angle(B, C, E) → θ
  31. Angle(E, C, D) → ι
  32. Angle(C, D, E) → κ
  33. Angle(E, D, A) → λ
  34. Angle(D, A, E) → μ
  35. Angle(E, A, B) → ν