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菱形测量与性质探究

菱形测量与性质探究
几何画板及绘图内容加载中，请稍等……
2015-10-12 22:37
多边形角三角函数几何作图滑块动画
①本范例演示菱形边长、角度及对角线之间的内在关系；②涉及核心数学概念包括全等性、几何作图、三角函数及坐标系应用；③通过 GeoGebra 命令如点、线段、圆、交点、距离、角度、多边形及滑块实现动态测量与关系验证；④适合初中及以上数学教学，用于几何性质探究与计算能力培养。

GeoGebra 命令及参数

  1. Point(Circle[B, abs(side)]) → C
  2. Segment(B, C) → a
  3. Point(Circle[C, abs(side)]) → D
  4. Segment(C, D) → b
  5. Circle(B, side) → c
  6. Circle(D, side) → d
  7. Intersect(c, d, 2) → A
  8. Segment(B, A) → e
  9. Segment(A, D) → f
  10. Segment(A, C) → g
  11. Segment(B, D) → h
  12. Intersect(h, g) → E
  13. Distance(A, B) → distanceAB
  14. Distance(B, C) → distanceBC
  15. Distance(C, D) → distanceCD
  16. Distance(D, A) → distanceDA
  17. Distance(A, C) → distanceAC
  18. Distance(B, D) → distanceBD
  19. Distance(A, E) → distanceAE
  20. Distance(C, E) → distanceCE
  21. Distance(B, E) → distanceBE
  22. Distance(D, E) → distanceDE
  23. Angle(D, A, B) → α
  24. Angle(A, B, C) → β
  25. Angle(B, C, D) → γ
  26. Angle(C, D, A) → δ
  27. Angle(B, E, A) → ε
  28. Angle(C, E, B) → ζ
  29. Angle(D, E, C) → η
  30. Angle(A, E, D) → θ
  31. Angle(E, A, B) → ι
  32. Angle(A, B, E) → κ
  33. Angle(E, B, C) → λ
  34. Angle(B, C, E) → μ
  35. Angle(E, C, D) → ν
  36. Angle(C, D, E) → ξ
  37. Angle(E, D, A) → ο
  38. Angle(D, A, E) → ρ
  39. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1