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三角形循环6

三角形循环6
几何画板及绘图内容加载中，请稍等……
2016-10-18 23:14
测试改名0圆解析几何几何作图
①本范例演示一个动态的三角形循环构造过程，通过圆和线的交点生成一系列三角形；②涉及的核心数学概念包括圆、线段、交点、三角形构造、解析几何；③作图要点——使用了Circle（圆）、Line（线）、Intersect（交点）、Segment（线段）等GeoGebra命令；④适合高中数学教学，用于演示几何作图和动态几何现象。

GeoGebra 命令及参数

  1. Circle(O, A) → c
  2. Line(O, A) → f
  3. Circle(A, O) → d
  4. Intersect(d, f, 2) → A'
  5. Circle(O, A') → e
  6. Circle(A', O) → g
  7. Intersect(e, g, 2) → C'
  8. Intersect(e, g, 1) → D'
  9. Line(C', O) → h
  10. Intersect(e, h, 2) → E'
  11. Segment(C', E') → i
  12. Intersect(c, i, 1) → C
  13. Intersect(c, i, 2) → E
  14. Line(D', O) → j
  15. Intersect(e, j, 2) → F'
  16. Segment(D', F') → k
  17. Intersect(c, k, 2) → F
  18. Intersect(c, k, 1) → D
  19. Intersect(c, f, 2) → B
  20. Intersect(e, f, 2) → B'
  21. Segment(A, D') → m
  22. Segment(A', E') → l
  23. Intersect(m, l) → G
  24. Segment(D', B') → n
  25. Segment(A', G) → p
  26. Segment(D, E') → q
  27. Segment(G, D) → r
  28. Segment(E', F') → s
  29. Intersect(n, q) → H
  30. Segment(D', H) → t
  31. Segment(E, B') → a
  32. Segment(B', C') → b
  33. Intersect(s, b) → I
  34. Intersect(s, a) → K
  35. Segment(E', K) → f_1
  36. Segment(B, F') → g_1
  37. Segment(F', A') → h_1
  38. Intersect(b, g_1) → J
  39. Segment(B', J) → i_1
  40. Segment(F, C') → j_1
  41. Intersect(h_1, j_1) → L
  42. Segment(F', L) → k_1
  43. Segment(C, A') → l_1
  44. Segment(C', A) → m_1
  45. Intersect(m_1, l_1) → M
  46. Segment(C', M) → n_1
  47. Segment(A, E) → p_1
  48. Segment(C, D) → q_1
  49. Intersect(q_1, p_1) → N
  50. Segment(C, N) → r_1
  51. Segment(D, N) → s_1
  52. Segment(F, A) → t_1
  53. Segment(C, B) → a_1
  54. Intersect(t_1, r_1) → P
  55. Segment(F, P) → b_1
  56. Intersect(a_1, b_1) → Q
  57. Segment(F, E) → c_1
  58. Segment(Q, B) → d_1
  59. Intersect(c_1, d_1) → R
  60. Segment(B, D) → e_1
  61. Segment(R, E) → f_2
  62. Intersect(f_2, e_1) → S
  63. Segment(D, S) → g_2
  64. Segment(A', A) → h_2
  65. Intersect(p_1, g_2) → T
  66. Segment(A, T) → i_2
  67. Segment(A, T) → j_2