拉里奥哈图书馆标志

拉里奥哈图书馆标志
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2020-01-20 01:15
该范例演示了如何使用GeoGebra绘制拉里奥哈图书馆的标志。涉及的核心数学概念包括向量、反射和几何作图。通过使用LineBisector, Vector, OrthogonalVector, Midpoint, OrthogonalLine, Intersect, Line, Mirror, Polygon等命令,可以构造出标志的各个部分。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. LineBisector(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. Midpoint(A_1, A) → J
  5. OrthogonalLine(J, m) → i
  6. OrthogonalLine(K, i) → l
  7. OrthogonalLine(F, l) → n
  8. Intersect(m, n) → H
  9. Line(A, B) → s
  10. OrthogonalLine(A, s) → b
  11. OrthogonalLine(M_3, b) → g_4
  12. Mirror(g_4, i) → g_1
  13. OrthogonalLine(G, l) → p
  14. Mirror(p, i) → p'
  15. Intersect(l, n) → Q
  16. Line(D, b) → f
  17. Intersect(f, p') → I_1
  18. Intersect(f, g_1) → G_1
  19. Mirror(R_1, i) → C_2
  20. Mirror(n, i) → n'
  21. Intersect(f, n') → E_1
  22. LineBisector(C_2, S_1) → d
  23. Intersect(f, i) → H_1
  24. Mirror(l, m) → l'
  25. Intersect(l', n') → B_1
  26. OrthogonalLine(M, i) → a
  27. OrthogonalLine(B, u, xOyPlane) → g
  28. Mirror(J, m) → J'
  29. OrthogonalLine(R, s) → j_4
  30. Intersect(l, g_4) → Z_3
  31. OrthogonalLine(L, i) → t
  32. Mirror(M_3, i) → U
  33. OrthogonalLine(A_1, b) → r
  34. Intersect(g, r) → C
  35. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  36. OrthogonalLine(N, i) → j
  37. Line(I, a) → h
  38. Intersect(j_4, i) → P
  39. Midpoint(P, R) → S
  40. Intersect(l', n) → W
  41. OrthogonalLine(E, n') → j'
  42. Intersect(j_4, n') → C_1
  43. Intersect(t, n') → D_1
  44. Intersect(j_4, g_1) → F_1
  45. Intersect(h, n) → K_1
  46. Intersect(j, n) → L_1
  47. Intersect(j', g_4) → M_1
  48. OrthogonalLine(Z, s) → k
  49. Intersect(j', p') → P_1
  50. Intersect(j', g_1) → Q_1
  51. Polygon(C_1, D_1, L, R) → q2, c_1, d_1, l_1, r_1
  52. CircleArc(J_1, C_2, S_1) → e
  53. Mirror(e, i) → e'
  54. Polygon(E_1, S_1, T_1, H_1) → q3, e_1, s_1, t_1, h_1
  55. Polygon(I_1, O_1, R_1, G_1) → q4, i_1, o_1, q, f_1
  56. Mirror(E_1, i) → U_1
  57. Mirror(S_1, i) → V_1
  58. Mirror(T_1, i) → W_1
  59. Mirror(H_1, i) → Z_1
  60. Polygon(U_1, V_1, W_1, Z_1) → q3', u_1, v_1, w_1, z_1
  61. Mirror(I_1, i) → A_2
  62. Mirror(O_1, i) → B_2
  63. Mirror(G_1, i) → D_2
  64. Polygon(A_2, B_2, C_2, D_2) → q4', j_1, b_2, c_2, d_2
  65. CircleArc(E_2, R_1, O_1) → k_1
  66. Mirror(k_1, i) → p_1
  67. Polygon(I, N, L_1, K_1) → q5, i_2, n_1, m_1, q_1
  68. Polygon(V, O, T, H) → q6, v_2, o_2, t_2, h_2
  69. CircleArc(I_2, N_1, F_2) → e_2
  70. CircleArc(J_2, H_2, G_2) → f_2
  71. Polygon(E, F_2, N_1, M_1) → q7, g_2, j_2, k_2, l_2
  72. Polygon(P_1, G_2, H_2, Q_1) → q8, m_2, n_2, p_2, q_2
  73. Line(M_1, Z) → r_2
  74. Line(W, r_2) → s_2
  75. Polygon(M_1, H_2, W, Z) → q9, f_3, g_3, w, z_2
  76. Segment(A_2, B_2) → h_3
  77. Segment(B_2, V_1) → i_3
  78. Segment(A_2, U_1) → j_3
  79. Segment(E_1, I_1) → k_3
  80. Segment(I_1, O_1) → l_3
  81. Segment(E, P_1) → m_3
  82. Segment(P_1, G_2) → n_3

AI 绘图提示语参考

绘制一个图书馆Logo,包含多个相交的线段和反射的几何图形。首先画出线段AB,然后找到AB的中点J,接着画出AB的垂直平分线m。使用垂直平分线m和线段AB构造其他线段和反射图形,最终形成Logo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。