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作业练习1.3第15题：几何作图构造

作业练习1.3第15题：几何作图构造
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2017-01-25 00:16
测试改名0圆几何作图
该范例演示了利用GeoGebra进行一系列几何作图操作，最终构造出包含等边三角形、圆、垂线、中点等元素的复杂图形。核心数学概念涉及几何作图的基本规则、等边三角形的性质、线段与圆的关系、垂直与中点等。作图要点包括使用Line、Segment、Intersect、Midpoint、Circle、Point、OrthogonalLine、Distance等命令，创建了多个点、线、圆和文本对象，逐步完成构造。适合高中或大学初等几何课程中的作图练习，帮助学生理解几何构造的逻辑与步骤。

GeoGebra 命令及参数

  1. Line(A_2, B_2) → f
  2. Segment(A_2, C_2) → g
  3. Line(C_2, f) → h
  4. Line(B_2, g) → i
  5. Intersect(h, i) → D_2
  6. Segment(B_2, D_2) → j
  7. Segment(C_2, D_2) → k
  8. Segment(A_2, B_2) → l
  9. Segment(C_2, B_2) → m
  10. Segment(A_2, D_2) → n
  11. Midpoint(m) → E_2
  12. Midpoint(n) → F
  13. Segment(C_2, E_2) → p
  14. Segment(E_2, A_2) → q
  15. Segment(E_2, B_2) → r
  16. Segment(E_2, D_2) → s
  17. Segment(G, H) → t
  18. Circle(G, H) → c
  19. Point(c) → I
  20. Segment(G, I) → a
  21. Line(I, t) → b
  22. Line(H, a) → d
  23. Intersect(b, d) → J
  24. Segment(H, J) → e
  25. Segment(I, J) → f_1
  26. Segment(J, G) → g_1
  27. Segment(H, I) → h_1
  28. Midpoint(h_1) → K
  29. Midpoint(g_1) → L
  30. Segment(H, K) → i_1
  31. Segment(J, K) → j_1
  32. Segment(K, G) → k_1
  33. Segment(K, I) → l_1
  34. Segment(M, N) → m_1
  35. OrthogonalLine(M, m_1) → n_1
  36. OrthogonalLine(N, m_1) → p_1
  37. Point(n_1) → O
  38. Line(O, m_1) → q_1
  39. Intersect(p_1, q_1) → P
  40. Segment(O, P) → r_1
  41. Segment(M, O) → s_1
  42. Segment(N, P) → t_1
  43. Segment(M, P) → a_1
  44. Segment(N, O) → b_1
  45. Midpoint(a_1) → Q
  46. Midpoint(b_1) → R
  47. Segment(M, Q) → c_1
  48. Segment(O, Q) → d_1
  49. Segment(Q, N) → e_1
  50. Segment(Q, P) → f_2
  51. Segment(S, T) → g_2
  52. Circle(S, T) → c_2
  53. OrthogonalLine(S, g_2) → h_2
  54. OrthogonalLine(T, g_2) → i_2
  55. Intersect(c_2, h_2, 2) → U
  56. Line(U, g_2) → j_2
  57. Intersect(i_2, j_2) → V
  58. Segment(U, V) → k_2
  59. Segment(V, T) → l_2
  60. Segment(S, U) → m_2
  61. Segment(T, U) → n_2
  62. Segment(S, V) → p_2
  63. Midpoint(n_2) → W
  64. Midpoint(p_2) → Z
  65. Segment(T, W) → q_2
  66. Segment(W, V) → r_2
  67. Segment(W, S) → s_2
  68. Segment(W, U) → t_2
  69. Circle(A, B) → d_2
  70. Point(d_2) → C
  71. Point(d_2) → D
  72. Point(d_2) → E
  73. Segment(C, B) → a_2
  74. Segment(C, D) → b_2
  75. Segment(D, E) → e_2
  76. Segment(E, B) → f_3
  77. Segment(C, E) → g_3
  78. Segment(D, B) → h_3
  79. Intersect(g_3, h_3) → A_1
  80. Segment(D, A_1) → i_3
  81. Segment(C, A_1) → j_3
  82. Segment(A_1, B) → k_3
  83. Segment(A_1, E) → l_3
  84. Distance(j_3, k_3) → o