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风筝形模板：分步探究

风筝形模板：分步探究
几何画板及绘图内容加载中，请稍等……
2019-06-27 04:16
多边形角几何作图
本范例演示风筝形的几何构造与性质，涉及的核心数学概念包括几何作图、角度关系和对称性。通过 GeoGebra 命令如旋转、角度、射线、镜像、点、圆、线段、多边形、交点、扇形、中点等，逐步构建风筝形并探究其特性。适合初中及以上学生用于几何学习和探究活动。

GeoGebra 命令及参数

  1. Rotate(B_1, α, A) → B'
  2. Angle(B_1, A, B') → β
  3. Ray(A, B') → f
  4. Ray(A, B_1) → g
  5. Mirror(A, g) → A'
  6. Mirror(B', g) → B''
  7. Ray(A', B'') → f'
  8. Point(g) → C
  9. Point(f) → B
  10. Circle(B, C) → c
  11. Segment(B, C) → h
  12. Mirror(B, g) → D
  13. Segment(C, D) → i
  14. Segment(A, C) → j
  15. Polygon(A, D, C, B) → poly1, a, d', c_1, d
  16. Segment(A, B) → k
  17. Segment(A, D) → l
  18. Circle(A, (0.2 * k)) → e
  19. Intersect(e, k, 1) → E
  20. Intersect(e, l, 1) → F
  21. CircleSector(A, F, E) → p
  22. Segment(A, C) → m
  23. Segment(B, D) → n
  24. Intersect(m, n) → G
  25. Angle(B, G, A) → γ
  26. Segment(A, G) → q
  27. Segment(G, C) → r
  28. Segment(B, G) → s
  29. Segment(G, D) → t
  30. Angle(G, A, B) → δ
  31. Angle(D, A, G) → ε
  32. Angle(G, C, D) → ζ
  33. Angle(B, C, G) → η
  34. Angle(A, B, G) → θ
  35. Angle(G, B, C) → ι
  36. Angle(G, D, A) → κ
  37. Angle(C, D, G) → λ
  38. Segment(C, A) → b
  39. Angle(B, C, D) → μ
  40. Angle(A, B, C) → ν
  41. Angle(C, D, A) → ξ
  42. Angle(C, A, B) → ο
  43. Angle(D, A, C) → ρ
  44. Segment(B, D) → f_1
  45. Midpoint(f_1) → H
  46. Segment(C, H) → g_1
  47. Angle(C, H, D) → σ
  48. Segment(B, H) → h_1
  49. Segment(H, D) → i_1
  50. Angle(B, C, A) → τ
  51. Angle(A, C, D) → υ
  52. Segment(A, C) → j_1
  53. Angle(A, B, C) → ϕ
  54. Angle(C, D, A) → χ
  55. Angle(D, A, B) → ψ
  56. Angle(B, C, D) → ω
  57. Polygon(A, B, C) → poly2, c_2, a_1, b_1
  58. Segment(A, C) → k_1
  59. Mirror(A, k_1) → A'_1
  60. Mirror(B, k_1) → B'_1
  61. Mirror(C, k_1) → C'
  62. Polygon(A'_1, B'_1, C') → poly2', c', a'_1, b'_1