雷诺logo的几何构造

雷诺logo的几何构造
几何画板及绘图内容加载中,请稍等……
2019-12-19 05:40
这个范例演示了如何使用GeoGebra构造雷诺品牌的标志。涉及的核心数学概念包括向量、几何变换和多边形。通过使用Line, OrthogonalLine, LineBisector, Vector, OrthogonalVector, Intersect, Mirror, Midpoint, Polygon等命令,可以构造出雷诺标志的几何图形。适合高中数学教学和学习几何作图。

GeoGebra 命令及参数

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. LineBisector(A, B) → m
  4. Vector(A, B) → u
  5. OrthogonalVector(u) → v
  6. OrthogonalLine(I, b) → h
  7. Intersect(h, m) → S
  8. OrthogonalLine(Q_1, s) → p_1
  9. OrthogonalLine(P_1, b) → n_1
  10. OrthogonalLine(C_1, b) → f_1
  11. LineBisector(A, C) → d
  12. Mirror(h, d) → h'
  13. Intersect(m, h') → N
  14. Intersect(m, d) → E
  15. OrthogonalLine(C, v, xOyPlane) → f
  16. Intersect(f, m) → U
  17. Midpoint(C, A) → J
  18. OrthogonalLine(M, d) → i
  19. Mirror(i, m) → i'
  20. OrthogonalLine(B, u, xOyPlane) → g
  21. Intersect(g, f) → D
  22. Mirror(M, m) → M'
  23. Midpoint(E, M') → L
  24. Intersect(g, h') → A_1
  25. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  26. Circle(E, N) → c
  27. Circle(E, O) → k
  28. OrthogonalLine(F, b) → j
  29. OrthogonalLine(K, b) → l
  30. OrthogonalLine(P, b) → p
  31. OrthogonalLine(G, b) → n
  32. OrthogonalLine(Q, b) → q
  33. OrthogonalLine(R, b) → r
  34. OrthogonalLine(T, b) → t
  35. OrthogonalLine(V, s) → a
  36. OrthogonalLine(V, a) → e
  37. OrthogonalLine(W, s) → g_1
  38. OrthogonalLine(Z, s) → h_1
  39. OrthogonalLine(B_1, s) → i_1
  40. OrthogonalLine(E_1, s) → j_1
  41. OrthogonalLine(F_1, s) → k_1
  42. OrthogonalLine(G_1, s) → l_1
  43. OrthogonalLine(H_1, s) → m_1
  44. Intersect(a, t) → I_1
  45. Intersect(m, t) → J_1
  46. Intersect(p_1, j) → L_1
  47. Midpoint(I_1, J_1) → M_1
  48. Intersect(p_1, n_1) → K_1
  49. Midpoint(K_1, L_1) → N_1
  50. Circle(M_1, O_1, N_1) → c_1
  51. Intersect(a, r) → R_1
  52. Intersect(a, q) → S_1
  53. Intersect(g_1, n) → T_1
  54. Intersect(a, j) → U_1
  55. Intersect(a, l) → V_1
  56. Intersect(g_1, p) → W_1
  57. Intersect(j, m_1) → Z_1
  58. Intersect(m_1, f_1) → B_2
  59. Intersect(f_1, l_1) → C_2
  60. Intersect(j_1, l) → G_2
  61. Intersect(h_1, l) → H_2
  62. Intersect(h_1, n) → I_2
  63. Intersect(i_1, q) → J_2
  64. Intersect(r, i_1) → K_2
  65. Polygon(R_1, K_2, V_1, W_1, T_1, S_1, J_2, I_2, H_2, G_2, C_2, B_2, Z_1, U_1) → poly1, r_1, u_1, v_1, w_1, t_1, s_1, k_2, j_2, i_2, h_2, g_2, c_2, q_1, z_1
  66. LineBisector(G_2, C_2) → a_1
  67. Intersect(a_1, n_1) → L_2
  68. CircleArc(L_2, G_2, C_2) → d_1
  69. Intersect(m, n) → M_2
  70. OrthogonalLine(N_2, b) → b_1
  71. Intersect(b_1, i_1) → O_2
  72. Intersect(i_1, p) → P_2
  73. Intersect(j_1, p) → Q_2
  74. Intersect(k_1, n_1) → R_2
  75. Polygon(I_1, J_1, B_2, C_2, G_2, H_2, I_2, J_2, K_2, R_1, M_2, O_2, P_2, Q_2, R_2, K_1, L_1, Z_1) → poly2, e_1, s_2, t_2, a_2, e_2, f_3, g_3, h_3, i_3, j_3, f_2, m_2, o_2, p_2, q_2, r_2, l_2, n_2
  76. LineBisector(Q_2, R_2) → k_3
  77. Intersect(k_3, m) → S_2
  78. Vector(Q_2, R_2) → w
  79. OrthogonalVector(w) → u_2
  80. CircleArc(T_2, Q_2, R_2) → d_3
  81. Intersect(c_1, d) → U_2, V_2
  82. Midpoint(V_2, O_1) → W_2
  83. Mirror(M_1, d) → Z_2
  84. CircleArc(W_2, M_1, Z_2) → e_3

AI 绘图提示语参考

绘制勒克莱尔品牌的标志,首先通过点A和B画一条直线,然后画出A点关于这条直线的垂线,接着画出A和B的中垂线,再画出从A到B的向量及其垂线,通过垂线和中垂线的交点得到点S。继续通过C点画出垂直于直线AB的垂线,通过Q点画出垂直于直线AB的垂线,通过C点画出垂直于向量u的垂线,通过M点画出垂直于中垂线m的垂线,通过B点画出垂直于向量u的垂线,通过M点画出垂直于中垂线m的垂线,通过E点和M'点画出中点L,通过G点和h'的交点得到点A1,最后通过A、B、D、C四个点画出一个四边形。
以上提示语为根据原始绘图命令整理而来,仅供参考。