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筝形探究 by atreitman

筝形探究 by atreitman
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2016-01-25 23:39
多边形角解析几何几何作图
这个范例演示了筝形的性质。涉及的核心数学概念包括筝形的对角线性质、角度关系和线段长度计算。通过使用GeoGebra命令如Segment、Circle、Point等，可以动态地构造筝形并观察其变化。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(A, C) → b
  5. AngularBisector(a, b) → d, e
  6. Point(d) → D
  7. Circle(D, B) → f
  8. Segment(B, D) → g
  9. Segment(C, D) → h
  10. Distance(A, B) → distanceAB
  11. Distance(B, D) → distanceBD
  12. Distance(D, C) → distanceDC
  13. Distance(C, A) → distanceCA
  14. Angle(A, B, D) → α
  15. Angle(B, D, C) → β
  16. Angle(D, C, A) → γ
  17. Angle(C, A, B) → δ
  18. Slope(g) → m
  19. Slope(a) → m_1
  20. Slope(b) → m_2
  21. Slope(h) → m_3
  22. Segment(A, D) → l
  23. Segment(B, C) → n
  24. Intersect(l, n) → E
  25. Angle(B, E, A) → ζ
  26. Angle(E, A, B) → η
  27. Angle(A, B, E) → θ
  28. Angle(E, B, D) → ε
  29. Angle(B, D, E) → ι
  30. Angle(D, E, B) → κ
  31. Angle(E, D, C) → λ
  32. Angle(D, C, E) → μ
  33. Angle(C, E, D) → ν
  34. Angle(E, C, A) → ξ
  35. Angle(C, A, E) → ο
  36. Angle(A, E, C) → ρ
  37. Distance(B, E) → distanceBE
  38. Midpoint(B, E) →
  39. Distance(E, D) → distanceED
  40. Midpoint(E, D) →
  41. Distance(E, C) → distanceEC
  42. Midpoint(E, C) →
  43. Distance(E, A) → distanceEA
  44. Midpoint(E, A) →