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特殊相似三角形案例2

特殊相似三角形案例2
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2017-01-30 04:22
测试改名0函数几何作图
①本范例演示了特殊相似三角形的构造与性质；②涉及的核心数学概念包括相似三角形、等腰三角形、函数图像（幂函数、二次函数、对数函数）；③作图要点——使用了多边形、中点、线段等GeoGebra命令；④适合高中数学教学和函数图像绘制学习。

GeoGebra 命令及参数

  1. Polygon(H_2, F_3, G_3) → poly2_1, g_2, h_2, f_2
  2. Midpoint(H_2, F_3) → I_1
  3. Midpoint(G_3, H_2) → J_1
  4. Segment(I_1, J_1) → l_2
  5. Segment(H_2, I_1) → m_2
  6. Segment(H_2, F_3) → n_2
  7. Segment(H_2, J_1) → p_2
  8. Segment(H_2, G_3) → q_2
  9. Polygon(H_2, I_1, J_1) → poly5_2, j_1, h_3, i_1
  10. Polygon(H_3, F_4, G_4) → poly2_3, g_3, h_5, f_3
  11. Segment(H_3, F_4) → n_1
  12. Segment(H_3, G_4) → q_1
  13. Segment(I_1, F_3) → t_2
  14. Segment(J_1, G_3) → t_1
  15. Polygon(H_1, F_1, G_1) → poly2_2, g_1, h_1, f_1
  16. Midpoint(H_1, F_1) → I_3
  17. Midpoint(G_1, H_1) → J_3
  18. Segment(H_1, F_1) → n_3
  19. Segment(H_1, G_1) → q_3
  20. Polygon(H_4, F_5, G_5) → poly2_4, g_4, h_6, f_4
  21. Midpoint(H_4, F_5) → I_4
  22. Midpoint(G_5, H_4) → J_4
  23. Segment(H_4, F_5) → n_4
  24. Segment(H_4, G_5) → q_4
  25. Midpoint(H_4, F_5) → K_1
  26. Midpoint(G_5, F_5) → L_1
  27. Midpoint(G_5, H_4) → M_1
  28. Polygon(L_1, M_1, K_1) → poly3_1, k_1, l_3, m_3
  29. Polygon(H_5, F_6, G_6) → poly2_5, g_5, h_7, f_5
  30. Midpoint(H_5, F_6) → I_5
  31. Midpoint(G_6, H_5) → J_5
  32. Segment(I_5, J_5) → l_4
  33. Segment(H_5, I_5) → m_4
  34. Segment(H_5, F_6) → n_5
  35. Segment(H_5, J_5) → p_3
  36. Segment(H_5, G_6) → q_5
  37. Polygon(H_5, I_5, J_5) → poly5_3, j_3, h_8, i_3
  38. Segment(I_5, F_6) → t_4
  39. Segment(J_5, G_6) → t_3
  40. Polygon(H_6, F_7, G_7) → poly2_6, g_6, h_{10}, f_6
  41. Midpoint(H_6, F_7) → I_6
  42. Midpoint(G_7, H_6) → J_6
  43. Segment(I_6, J_6) → l_5
  44. Segment(H_6, I_6) → m_5
  45. Segment(H_6, F_7) → n_6
  46. Segment(H_6, J_6) → p_4
  47. Segment(H_6, G_7) → q_6
  48. Polygon(H_6, I_6, J_6) → poly5_4, j_4, h_9, i_4
  49. Segment(I_6, F_7) → t_5
  50. Segment(J_6, G_7) → t_6
  51. Polygon(H_7, F_8, G_8) → poly2_7, g_7, h_{11}, f_7
  52. Midpoint(H_7, F_8) → I_2
  53. Midpoint(G_8, H_7) → J_2
  54. Segment(I_2, J_2) → l_1
  55. Segment(H_7, I_2) → m_1
  56. Segment(H_7, F_8) → n_7
  57. Segment(H_7, J_2) → p_1
  58. Segment(H_7, G_8) → q_7
  59. Polygon(H_7, I_2, J_2) → poly5_1, j_2, h_4, i_2
  60. Segment(I_2, F_8) → t_8
  61. Segment(J_2, G_8) → t_7
  62. Segment(I_1, F_3) → f
  63. Segment(J_1, G_3) → g