西班牙技术中心标志

西班牙技术中心标志
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2020-05-08 19:47
这个范例演示了如何使用GeoGebra绘制西班牙技术中心的标志。核心数学概念包括多边形和向量。通过使用Line, OrthogonalLine, Vector, LineBisector等命令,可以构造标志的各个部分。适合高中数学教学和学习。

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. LineBisector(A_1, A) → h
  7. Mirror(f, h) → f'
  8. OrthogonalLine(D, s) → i
  9. Intersect(i, f) → I
  10. OrthogonalLine(B, u, xOyPlane) → g
  11. LineBisector(A, B) → m
  12. Intersect(m, f) → E
  13. Mirror(i, m) → i'
  14. Intersect(i, f') → J
  15. OrthogonalLine(A_1, b) → r
  16. Intersect(g, r) → C
  17. Mirror(J, m) → J'
  18. Mirror(J, h) → J'_1
  19. Mirror(J', h) → J''
  20. Polygon(A, B, C, A_1) → q1, a_1, b_1, c, j
  21. LineBisector(A_1, A) → n
  22. Intersect(m, f') → K
  23. Intersect(m, n) → M
  24. Segment(K, M) → k
  25. Circle(M, k) → d
  26. Circle(K, k) → e
  27. Intersect(e, d) → N, O, ,
  28. Circle(E, k) → p
  29. Intersect(p, d) → P, Q, ,
  30. Intersect(e, p) → R, , ,
  31. Polygon(O, K, N, Q, E, P) → poly1, o, k_1, n_1, q, e_3, p_1
  32. Midpoint(K, N) → S
  33. Mirror(S, m) → S'
  34. Mirror(S, n) → S'_1
  35. Mirror(S', n) → S''
  36. Intersect(n, p_1) → T
  37. Intersect(n, n_1) → W
  38. Segment(T, S) → l
  39. Segment(S'', W) → t
  40. Segment(T, S'_1) → f_1
  41. Segment(W, S') → g_1
  42. Segment(O, Q) → h_1
  43. Segment(P, N) → i_1
  44. Intersect(l, g_1) → B_1
  45. Intersect(l, h_1) → C_1
  46. Intersect(t, h_1) → D_1
  47. Intersect(t, f_1) → V
  48. Intersect(f_1, i_1) → F_1
  49. Intersect(i_1, g_1) → U
  50. OrthogonalLine(S', f') → j_1
  51. OrthogonalLine(S, f') → l_1
  52. Polygon(S', O, C_1) → t1, c_1, s', o_1
  53. Polygon(T, C_1, F_1) → t2, m_1, t_1, q_1
  54. Polygon(S, B_1, U) → t3, u_1, s_1, r_1
  55. Polygon(C_1, B_1, S') → t4, d_1, f_2, g_2
  56. Polygon(P, F_1, T) → t5, t_2, p_2, h_2
  57. Polygon(V, D_1, S'_1) → t6, s'_1, v_1, i_2
  58. Polygon(S, U, N) → t7, n_2, s_2, u_2
  59. Polygon(Q, W, D_1) → t8, j_2, q_2, w
  60. Polygon(E, S'_1, V) → t9, v_2, e_4, k_2
  61. Polygon(V, S'', F_1) → t10, l_2, v_3, s''
  62. Polygon(P, S'', F_1) → t11, m_2, p_3, r_2
  63. Polygon(S'_1, Q, D_1) → t12, a_2, b_2, q_3
  64. Polygon(S'', E, V) → t13, v_4, c_2, e_5
  65. Polygon(N, W, U) → t14, u_3, n_3, w_1
  66. Polygon(O, T, C_1) → t15, d_2, o_2, t_3
  67. Polygon(W, U, D_1) → t16, f_3, w_2, u_4
  68. Polygon(V, R, F_1) → t17, g_3, v_5, r_3
  69. Polygon(S', K, B_1) → t18, h_3, i_3, k_3
  70. Polygon(C_1, B_1, R) → t19, r_4, j_3, l_3
  71. Polygon(R, D_1, U) → t20, u_5, r_5, m_3
  72. Polygon(F_1, R, C_1) → t21, s_3, a_3, r_6
  73. Polygon(R, B_1, U) → t22, u_6, r_7, b_3
  74. Polygon(B_1, S, K) → t23, k_4, c_3, s_4