Logo PAU GASOL 几何作图

Logo PAU GASOL 几何作图
几何画板及绘图内容加载中,请稍等……
2020-06-01 22:47
①本范例演示了如何利用二维向量、圆、矩形、对称等几何元素绘制 PAU GASOL 的标志图形;②涉及的核心数学概念包括二维向量运算、圆与矩形的几何构造、对称性、中点、交点计算等;③作图要点提炼自 GeoGebra 命令:使用 Line, OrthogonalLine, Vector, OrthogonalVector, LineBisector, Mirror, Intersect, Midpoint, Polygon, CircleArc, Center, Segment 等命令进行精确几何构造;④适合高中数学学生或教师用于学习几何作图、向量应用及对称性原理,也可用于数学可视化教学。

GeoGebra 命令及参数

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. Vector(A, B) → u
  4. OrthogonalVector(u) → v
  5. OrthogonalLine(F, b) → f
  6. OrthogonalLine(A_1, b) → r
  7. LineBisector(A_1, A) → l
  8. Mirror(f, l) → f'_1
  9. Mirror(f, l) → f'
  10. OrthogonalLine(D, s) → i
  11. Intersect(i, f') → E
  12. LineBisector(A, B) → m
  13. Mirror(i, m) → i'
  14. Intersect(m, f') → S
  15. OrthogonalLine(K_1, f'_1) → n_1
  16. OrthogonalLine(K, r) → h
  17. Intersect(m, l) → L
  18. Midpoint(S, L) → H
  19. OrthogonalLine(H, m) → k
  20. Intersect(h, k) → B_2
  21. OrthogonalLine(C_2, b) → d_2
  22. Intersect(n_1, d_2) → D_2
  23. Intersect(i', k) → H_1
  24. LineBisector(K_1, H_1) → q_1
  25. Intersect(q_1, k) → I_1
  26. LineBisector(E_2, D_2) → j_3
  27. Intersect(j_3, k) → G_2
  28. Intersect(j_3, m) → F_2
  29. Midpoint(G_2, F_2) → H_2
  30. OrthogonalLine(O, k) → j
  31. Intersect(i, l) → P
  32. OrthogonalLine(B, u, xOyPlane) → g
  33. Intersect(g, r) → C
  34. Mirror(F, l) → F'
  35. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  36. OrthogonalLine(J, b) → p
  37. Intersect(i', f') → W
  38. OrthogonalLine(G, b) → t
  39. Intersect(h, t) → F_1
  40. OrthogonalLine(Q, s) → q
  41. Mirror(t, l) → t'
  42. Mirror(q, m) → q'
  43. Intersect(i, f) → R
  44. LineBisector(R, P) → n
  45. Intersect(n, i) → T
  46. Mirror(p, l) → p'
  47. OrthogonalLine(V, b) → a
  48. Intersect(q', t') → B_1
  49. Intersect(j, t') → I
  50. Intersect(q, t) → M
  51. Intersect(n, q) → C_1
  52. Intersect(h, t') → D_1
  53. Polygon(T, C_1, M, E) → q1, t_1, c_1, m_1, e
  54. Intersect(j, f) → U
  55. LineBisector(T, U) → d
  56. Intersect(d, a) → E_1
  57. CircleArc(E_1, T, U) → d_1
  58. Polygon(T, C_1, I, U) → q2, g_1, h_1, i_1, j_1
  59. CircleArc(E_1, C_1, I) → f_1
  60. Intersect(i', f) → G_1
  61. Intersect(q', k) → Z
  62. Polygon(I, B_1, Z, H_1, G_1, U) → poly1, i_2, b_1, z_1, k_1, l_1, u_1
  63. Intersect(t, n_1) → J_1
  64. Polygon(E, K_1, J_1, M) → q3, e_3, c, p_1, m_2
  65. CircleArc(I_1, H_1, K_1) → r_1
  66. CircleArc(I_1, Z, K_1) → s_1
  67. Polygon(H_1, Z, J_1, K_1) → q4, f_2, z_2, g_2, h_2
  68. Intersect(h, p) → N
  69. Intersect(q', p) → L_1
  70. Intersect(p', q') → M_1
  71. Intersect(j, a) → N_1
  72. Intersect(j, p') → P_1
  73. Intersect(j, n) → Q_1
  74. Intersect(n_1, a) → U_1
  75. Intersect(n, n_1) → V_1
  76. Polygon(L_1, N, O_1, R_1, V_1, U_1, T_1, S_1, P_1, M_1) → poly2, j_2, s_2, n_2, o_1, k_2, v_1, l_2, p_2, q_2, r_2
  77. LineBisector(O_1, R_1) → t_2
  78. Intersect(m, t_2) → W_1
  79. Intersect(t_2, n) → Z_1
  80. Midpoint(Z_1, W_1) → A_2
  81. CircleArc(A_2, O_1, R_1) → c_2
  82. Polygon(E_2, B_2, C_2, D_2) → q5, f_3, g_3, h_3, i_3
  83. CircleArc(H_2, D_2, E_2) → d_3
  84. Center(d_3) → I_2
  85. Center(d_3) → J_2
  86. Intersect(q, n) → K_2
  87. Segment(K_2, I) → k_3

AI 绘图提示语参考

绘制PAU GASOL标志,使用2D向量、圆、矩形、对称和其他几何元素。首先画出两条线段AB和FA,然后构造向量u和其正交向量v,接着画出正交线b和f。通过镜像和交点构造标志的关键部分,最终形成标志的轮廓。
以上提示语为根据原始绘图命令整理而来,仅供参考。