风筝形的性质 by Roxana Kim

风筝形的性质 by Roxana Kim
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2017-01-09 07:48
①本范例演示风筝形的几何性质;②涉及核心数学概念包括多边形、角度、距离等;③构造过程中用到了Circle(圆)、Intersect(交点)、Polygon(多边形)、Distance(距离)、Segment(线段)、Angle(角度)等GeoGebra命令;④适合初中及以上学生用于探索和验证风筝形的几何特性。

GeoGebra 命令及参数

  1. Circle(A, B) → c
  2. Circle(C, B) → d
  3. Intersect(c, d, 2) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c_1, d_1
  5. Distance(A, B) → distanceAB
  6. Distance(A, D) → distanceAD
  7. Distance(D, C) → distanceDC
  8. Distance(B, C) → distanceBC
  9. Segment(A, C) → f
  10. Segment(D, B) → g
  11. Intersect(f, g) → E
  12. Distance(A, C) → distanceAC
  13. Distance(D, B) → distanceDB
  14. Distance(A, E) → distanceAE
  15. Distance(C, E) → distanceCE
  16. Distance(D, E) → distanceDE
  17. Distance(B, E) → distanceBE
  18. Segment(A, C) → i
  19. Segment(D, B) → j
  20. Intersect(i, j) → F
  21. Angle(D, A, F) → α
  22. Angle(F, A, B) → β
  23. Angle(A, B, F) → γ
  24. Angle(F, B, C) → δ
  25. Angle(B, C, F) → ε
  26. Angle(F, C, D) → ζ
  27. Angle(C, D, F) → η
  28. Angle(F, D, A) → θ
  29. Angle(A, F, B) → ι
  30. Angle(D, A, B) → κ
  31. Angle(B, C, D) → λ
  32. Angle(A, D, C) → μ
  33. Angle(A, B, C) → ν