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相似三角形的绘制

相似三角形的绘制
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2017-09-16 02:02
测试改名0向量几何作图
这个范例演示了如何绘制相似三角形。涉及的核心数学概念包括相似三角形的性质和几何均值。通过使用GeoGebra命令如Point, Segment, Rotate等，可以构造出具有特定角度和边长的相似三角形。适合初中和高中学生学习相似三角形的相关知识。

GeoGebra 命令及参数

  1. Point(Circle[B, DRAG]) → C_2
  2. Segment(B, C) → l_1
  3. Segment(B, A) → m_1
  4. Segment(C, A) → n_1
  5. Rotate(C_2, (-α), B) → B'
  6. Angle(B', B, C_2) → β
  7. Vector(B, B') → u
  8. Point(u) → X_1
  9. Circle(B, DRAG / 8) → c
  10. Point(u) → X
  11. Point(c) → C_1
  12. Point(c) → D
  13. CircleArc(B, C_1, D) → d
  14. Segment(B, B') → g
  15. Intersect(d, g, 1) → B_1
  16. Circle(B_1, DRAG / 8) → e
  17. Point(e) → F
  18. Point(e) → G
  19. CircleArc(B_1, F, G) → h
  20. Intersect(h, g) → B_2,
  21. Circle(B_2, DRAG / 8) → k
  22. Point(k) → A_1
  23. Point(k) → E
  24. CircleArc(B_2, A_1, E) → p
  25. Intersect(p, g) → B_3,
  26. Circle(B_3, DRAG / 8) → q
  27. Point(q) → I
  28. Point(q) → J
  29. CircleArc(B_3, I, J) → r
  30. Intersect(r, g, 1) → B_4
  31. Circle(B_4, DRAG / 8) → s
  32. Point(s) → K
  33. Point(s) → L
  34. CircleArc(B_4, K, L) → t
  35. Intersect(t, g) → B_5,
  36. Circle(B_5, DRAG / 16) → c_1
  37. Intersect(c_1, g, 1) → M
  38. Segment(B_3, C) → f_2
  39. Line(B, C) → g_2
  40. Point(g_2) → H_1
  41. Line(B, A) → h_2
  42. Circle(B_3, DRAG / 16) → e_1
  43. Point(e_1) → N
  44. Point(e_1) → O
  45. Point(h_2) → I_1
  46. Segment(B, H_1) → i_2
  47. Vector(B, H_1) → v
  48. Vector(B, I_1) → w
  49. Point(u) → P
  50. Circle(B_3, P) → f_1
  51. Circle(B_5, Segment[B_3, P]) → g_1
  52. Intersect(f_1, f_2, 1) → Q
  53. CircleArc(B_3, Q, P) → h_1
  54. Point(g_1) → R
  55. Point(u) → J_1
  56. CircleArc(B_5, R, J_1) → d_2
  57. Circle(J_1, Segment[P, Q]) → e_2
  58. Point(e_2) → K_1
  59. Point(e_2) → L_1
  60. CircleArc(J_1, K_1, L_1) → k_2
  61. Line(B_5, f_2) → j_2
  62. Intersect(i_2, j_2) → M_1
  63. Segment(B_5, M_1) → b_1
  64. Circle(C, Segment[P, Q]) → p_2
  65. Intersect(i_2, b_1) → C'
  66. Circle(M_1, Segment[P, Q]) → p_1
  67. Intersect(p_2, n_1, 1) → U
  68. Intersect(p_2, l_1, 1) → V
  69. CircleArc(C, U, V) → q_1
  70. Point(p_1) → W
  71. Intersect(p_1, i_2, 1) → Z
  72. CircleArc(M_1, W, Z) → r_1
  73. Circle(Z, Segment[U, V]) → s_1
  74. Point(s_1) → D_1
  75. Point(s_1) → N_1
  76. CircleArc(Z, D_1, N_1) → t_1
  77. Line(M_1, n_1) → l
  78. Point(w) → O_1
  79. Segment(B, O_1) → i_1
  80. Intersect(l, i_1) → A'_1
  81. Segment(B_5, M_1) → j_1
  82. Segment(M_1, A'_1) → a_1
  83. Intersect(i_1, a_1) → A'
  84. Polygon(A', B, C') → poly1, c', a', b
  85. Polygon(A, B, C) → poly2, c_2, a_2, b_2