积极 AI Logo 积极 AI

交点30

交点30
几何画板及绘图内容加载中，请稍等……
2016-04-03 07:38
向量解析几何几何作图
该范例展示了如何通过几何作图方法找到两条直线的交点。涉及的核心数学概念包括直线方程和向量。通过使用GeoGebra命令如Line, Intersect, Mirror等，可以直观地理解交点的几何意义。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. AngularBisector(B, C, A) → f
  3. AngularBisector(C, A, B) → d
  4. AngularBisector(A, B, C) → e
  5. Intersect(d, e) → D
  6. AngularBisector(C, A, D) → g
  7. AngularBisector(D, C, A) → h
  8. Intersect(g, h) → E
  9. AngularBisector(D, A, B) → j
  10. AngularBisector(D, B, A) → l
  11. Intersect(j, l) → G
  12. Segment(E, G) → t
  13. Mirror(d, t) → d'
  14. AngularBisector(B, C, D) → n
  15. AngularBisector(D, B, C) → q
  16. Intersect(n, q) → I
  17. Segment(I, G) → b_1
  18. Mirror(e, b_1) → e'
  19. Intersect(d', e') → O
  20. Line(B, C) → b
  21. OrthogonalLine(I, b) → r
  22. Intersect(b, r) → J
  23. AngularBisector(O, J, C) → i_1
  24. Intersect(i_1, f) → T
  25. OrthogonalLine(T, b) → j_1
  26. Intersect(b, j_1) → U
  27. Circle(T, U) → p_1
  28. AngularBisector(O, J, B) → g_1
  29. Intersect(e, g_1) → R
  30. OrthogonalLine(R, a) → h_1
  31. Intersect(a, h_1) → S
  32. Circle(R, S) → k_1
  33. Intersect(p_1, k_1) → V, , ,
  34. OrthogonalLine(V, b) → l_1
  35. Intersect(b, l_1) → W
  36. Midpoint(V, W) → B_1
  37. Circle(V, W) → q_1
  38. Intersect(k_1, q_1) → Z, A_1, ,
  39. Line(A_1, Z) → m_1
  40. Line(B_1, m_1) → n_1
  41. Dilate(q_1, 0.5, W) → r_1
  42. Intersect(r_1, n_1) → C_1, D_1
  43. Mirror(r_1, D_1) → s_1
  44. Mirror(s_1, q_1) → t_1
  45. Intersect(t_1, b) → D_2,
  46. Line(C, A) → c
  47. OrthogonalLine(E, c) → i
  48. Intersect(c, i) → F
  49. AngularBisector(O, F, A) → c_1
  50. Intersect(d, c_1) → P
  51. OrthogonalLine(P, a) → e_1
  52. Intersect(a, e_1) → Q
  53. Circle(P, Q) → f_1
  54. Intersect(f_1, k_1, 1) → L_1
  55. OrthogonalLine(L_1, a) → h_2
  56. Intersect(a, h_2) → M_1
  57. Circle(L_1, M_1) → k_2
  58. Intersect(k_2, f_1) → O_1, P_1, ,
  59. Line(P_1, O_1) → i_2
  60. Midpoint(M_1, L_1) → N_1
  61. Line(N_1, i_2) → j_2
  62. Circle(N_1, M_1) → p_2
  63. Intersect(p_2, j_2) → Q_1, R_1
  64. Mirror(p_2, Q_1) → q_2
  65. Mirror(q_2, k_2) → r_2
  66. Intersect(r_2, a) → B_2,
  67. Circle(E, F) → k
  68. OrthogonalLine(G, a) → m
  69. Intersect(a, m) → H
  70. Circle(G, H) → p
  71. Circle(I, J) → s
  72. Intersect(k, d) → K, N
  73. Intersect(p, d) → L, M
  74. Segment(E, I) → a_1
  75. Mirror(f, a_1) → f'
  76. AngularBisector(A, H, O) → d_1
  77. Intersect(f_1, p_1, 1) → E_1
  78. OrthogonalLine(E_1, c) → a_2
  79. Intersect(c, a_2) → F_1
  80. Midpoint(F_1, E_1) → G_1
  81. Circle(G_1, F_1) → c_2
  82. Circle(E_1, F_1) → d_2
  83. Intersect(f_1, d_2) → H_1, I_1, ,
  84. Line(I_1, H_1) → b_2
  85. Line(G_1, b_2) → e_2
  86. Intersect(c_2, e_2) → J_1, K_1
  87. Mirror(c_2, J_1) → f_2
  88. Mirror(f_2, d_2) → g_2
  89. Center(f_1) → S_1
  90. Center(p_1) → T_1
  91. Center(k_1) → U_1
  92. Center(r_2) → V_1
  93. Center(g_2) → W_1
  94. Center(t_1) → Z_1
  95. Segment(C, B_2) → m_2
  96. Segment(D_2, A) → l_2
  97. Intersect(l_2, m_2) → A_2
  98. Intersect(g_2, c) → C_2,
  99. Segment(C_2, B) → n_2