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几何作图范例 by amuccitelli

几何作图范例 by amuccitelli
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2016-10-11 08:22
圆几何作图
①本范例演示了利用 GeoGebra 进行几何图形的精确构造；②涉及的核心数学概念包括圆、线段、射线、交点等基本几何元素；③作图要点——从下方『构造摘要』提炼用到了 Circle（圆）、Intersect（交点）、Segment（线段）、Ray（射线）等 GeoGebra 命令/对象；④适合初中及以上学生学习和掌握几何作图技巧，也可用于数学教学演示。

GeoGebra 命令及参数

  1. Circle(A_1, Segment[A_1, B_1]) → c
  2. Circle(B_1, Segment[A_1, B_1]) → d
  3. Intersect(c, d, 1) → C
  4. Intersect(c, d, 2) → D
  5. Circle(D, Segment[D, A_1]) → e
  6. Intersect(c, e, 2) → A
  7. Circle(C, Segment[C, A_1]) → f
  8. Intersect(c, f, 1) → B
  9. Circle(B, Segment[B, A_1]) → g
  10. Intersect(c, g, 1) → H
  11. Segment(A, B) → h
  12. Segment(B, C) → i
  13. Segment(C, D) → j
  14. Segment(D, A) → k
  15. Circle(H, Segment[A_1, A]) → p
  16. Circle(D, Segment[A_1, D]) → q
  17. Ray(A, A_1) → l
  18. Circle(A, Segment[E, G]) → r
  19. Intersect(r, h, 1) → I
  20. Intersect(c, r, 1) → J
  21. Circle(I, Segment[E, G]) → s
  22. Circle(J, Segment[E, G]) → t
  23. Intersect(s, t, 1) → Q_1
  24. Ray(A, Q_1) → m
  25. Circle(B, Segment[E, G]) → c_1
  26. Intersect(c_1, h, 1) → K
  27. Intersect(c_1, i, 1) → L
  28. Circle(K, Segment[E, G]) → d_1
  29. Circle(L, Segment[E, G]) → e_1
  30. Intersect(d_1, e_1, 2) → R
  31. Ray(B, R) → n
  32. Circle(C, Segment[E, G]) → f_1
  33. Intersect(f_1, j, 1) → M
  34. Intersect(f_1, i, 1) → N
  35. Circle(N, Segment[E, G]) → g_1
  36. Circle(M, Segment[E, G]) → h_1
  37. Intersect(g_1, h_1, 2) → S
  38. Ray(C, S) → a
  39. Circle(D, Segment[E, G]) → k_1
  40. Intersect(k_1, k, 1) → O
  41. Intersect(k_1, j, 1) → P
  42. Circle(O, Segment[E, G]) → p_1
  43. Circle(P, Segment[E, G]) → q_1
  44. Intersect(p_1, q_1, 1) → T
  45. Ray(D, T) → b
  46. Segment(Q_1, R) → i_1
  47. Segment(R, S) → j_1
  48. Segment(S, T) → l_1
  49. Segment(T, Q_1) → m_1
  50. Circle(A, Segment[E, G]) → r_1
  51. Intersect(r_1, k, 1) → U
  52. Circle(I, Segment[E, G]) → s_1
  53. Circle(U, Segment[E, G]) → t_1
  54. Intersect(s_1, t_1, 1) → Q
  55. Ray(A, Q) → n_1
  56. Segment(T, Q) → a_1
  57. Segment(Q, R) → b_1