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用立方体构建模型

用立方体构建模型
几何画板及绘图内容加载中，请稍等……
2020-04-10 01:57
矩阵变换几何作图
这个范例展示了如何使用立方体构建各种模型。它涉及随机变量、矩阵和相似变换等核心数学概念。通过使用AttachCopyToView、Polygon、Intersect、Segment、Point等GeoGebra命令，可以构造出复杂的几何图形。适合中学阶段的学生和教师使用。

GeoGebra 命令及参数

  1. AttachCopyToView(PolyLine[(4.64,0.74), (4.64,0.84), (4.64,0.92), (4.64,1.02), (4.64,1.14), (4.64,1.3), (4.64,1.38), (4.64,1.46), (4.66,1.54), (4.66,1.62), (4.68,1.68), (4.74,1.72), (4.82,1.66), (4.82,1.5), (4.82,1.4), (4.82,1.28), (4.82,1.2), (4.84,1.1), (4.86,1.04), (4.86,0.94), (4.86,0.84), (4.86,0.74), (4.86,0.64), (4.92,0.74), (4.92,0.82), (4.92,0.9), (4.92,1), (4.92,1.14), (4.92,1.22), (4.92,1.32), (4.92,1.4), (4.92,1.5), (4.94,1.56), (5,1.52), (5.02,1.44), (5.06,1.34), (5.08,1.26), (5.08,1.18), (5.1,1.12), (5.1,1.04), (5.1,0.94), (5.12,0.86), (5.14,0.76), (5.14,0.68), (5.16,0.62), (5.18,0.68), (5.18,0.76), (5.18,0.84), (5.18,0.94), (5.2,1.04), (5.22,1.12), (5.24,1.18), (5.26,1.26), (5.26,1.34), (5.26,1.44), (5.26,1.52), (5.26,1.6), (5.3,1.54), (5.32,1.48), (5.36,1.38), (5.38,1.3), (5.4,1.22), (5.42,1.16), (5.44,1.1), (5.46,1.04), (5.48,0.96), (5.5,0.9), (5.52,0.84), (5.52,0.74), (5.54,0.86), (5.54,0.98), (5.54,1.12), (5.54,1.2), (5.52,1.3), (5.52,1.38), (5.52,1.48), (5.52,1.4), (5.6,1.32), (5.64,1.26), (5.7,1.18), (5.72,1.1), (5.74,1.02), (5.76,0.96), (5.78,0.9), (5.8,0.82), (5.8,0.74), (NaN,NaN), true], 1, (-4.300000000000001, -2.6600000000000015), (6.5000000000000036, 6.3), (0, 448), (540, 0)) → stroke1
  2. Polygon(A, B, 4) → poly1, f, g, h, k, C, D
  3. Polygon(B, E, 4) → poly2, p, q, r, s, J, K
  4. Polygon(E, L, 4) → poly3, t, a, b, c, M, N
  5. Polygon(D, C, 4) → poly4, d, e, i_1, j_1, O, P
  6. Polygon(C, J, 4) → poly5, k_1, l_1, m_1, n_1, Q, R
  7. Polygon(J, M, 4) → poly6, p_1, q_1, r_1, s_1, S, T
  8. Polygon(P, O, 4) → poly7, t_1, a_1, b_1, c_1, U, V
  9. Polygon(O, Q, 4) → poly8, d_1, e_1, f_2, g_2, W, Z
  10. Polygon(Q, S, 4) → poly9, h_2, i_2, j_2, k_2, A_1, B_1
  11. Intersect(f, k) → C_1
  12. Segment(C_1, D_1) → l_2
  13. Intersect(i_2, j_2) → E_1
  14. Segment(D_1, E_1) → m_2
  15. Intersect(b_1, c_1) → F_1
  16. Segment(E_1, F_1) → n_2
  17. Segment(F_1, C_1) → p_2
  18. Intersect(f, g) → G_1
  19. Intersect(a_1, b_1) → H_1
  20. Segment(G_1, H_1) → q_2
  21. Intersect(e_1, f_2) → I_1
  22. Intersect(p, q) → J_1
  23. Segment(I_1, J_1) → r_2
  24. Intersect(h, k) → K_1
  25. Intersect(a, b) → L_1
  26. Segment(K_1, L_1) → s_2
  27. Intersect(i_1, j_1) → M_1
  28. Intersect(q_1, r_1) → N_1
  29. Segment(M_1, N_1) → t_2
  30. Polygon(O_1, P_1, 4) → poly10, a_2, b_2, c_2, d_2, Q_1, R_1
  31. Polygon(P_1, S_1, 4) → poly11, e_2, f_3, g_3, h_3, T_1, U_1
  32. Polygon(S_1, V_1, 4) → poly12, i_3, j_3, k_3, l_3, W_1, Z_1
  33. Polygon(R_1, Q_1, 4) → poly13, m_3, n_3, p_3, q_3, A_2, B_2
  34. Polygon(Q_1, T_1, 4) → poly14, r_3, s_3, t_3, a_3, C_2, D_2
  35. Polygon(T_1, W_1, 4) → poly15, b_3, c_3, d_3, e_3, E_2, F_2
  36. Polygon(B_2, A_2, 4) → poly16, f_4, g_4, h_4, i_4, G_2, H_2
  37. Polygon(A_2, C_2, 4) → poly17, j_4, k_4, l_4, m_4, I_2, J_2
  38. Polygon(C_2, E_2, 4) → poly18, n_4, p_4, q_4, r_4, K_2, L_2
  39. Intersect(h_4, i_4) → M_2
  40. Intersect(p_4, q_4) → N_2
  41. Segment(M_2, N_2) → s_4
  42. Segment(N_2, O_2) → t_4
  43. Intersect(a_2, d_2) → P_2
  44. Segment(O_2, P_2) → a_4
  45. Segment(P_2, M_2) → b_4
  46. Intersect(g_4, h_4) → Q_2
  47. Segment(Q_2, R_2) → c_4
  48. Intersect(e_2, f_3) → S_2
  49. Intersect(k_4, l_4) → T_2
  50. Segment(S_2, T_2) → d_4
  51. Intersect(c_2, d_2) → U_2
  52. Intersect(j_3, k_3) → V_2
  53. Segment(U_2, V_2) → e_4
  54. Intersect(c_3, d_3) → W_2
  55. Intersect(p_3, q_3) → Z_2
  56. Segment(W_2, Z_2) → f_5
  57. Polygon(A_3, B_3, 4) → poly19, g_5, h_5, i_5, j_5, C_3, D_3
  58. Polygon(B_3, E_3, 4) → poly20, k_5, l_5, m_5, n_5, F_3, G_3
  59. Polygon(E_3, H_3, 4) → poly21, p_5, q_5, r_5, s_5, I_3, J_3
  60. Polygon(D_3, C_3, 4) → poly22, t_5, a_5, b_5, c_5, K_3, L_3
  61. Polygon(C_3, F_3, 4) → poly23, d_5, e_5, f_6, g_6, M_3, N_3
  62. Polygon(F_3, I_3, 4) → poly24, h_6, i_6, j_6, k_6, O_3, P_3
  63. Polygon(L_3, K_3, 4) → poly25, l_6, m_6, n_6, p_6, Q_3, R_3
  64. Polygon(K_3, M_3, 4) → poly26, q_6, r_6, s_6, t_6, S_3, T_3
  65. Polygon(M_3, O_3, 4) → poly27, a_6, b_6, c_6, d_6, U_3, V_3
  66. Intersect(g_5, j_5) → W_3
  67. Intersect(p_5, q_5) → Z_3
  68. Segment(W_3, Z_3) → e_6
  69. Intersect(b_6, c_6) → A_4
  70. Segment(Z_3, A_4) → f_7
  71. Intersect(n_6, p_6) → B_4
  72. Segment(A_4, B_4) → g_7
  73. Segment(B_4, W_3) → h_7
  74. Intersect(i_5, j_5) → C_4
  75. Point(i_6) → D_4
  76. Segment(C_4, D_4) → i_7
  77. Intersect(i_6, j_6) → E_4
  78. Intersect(b_5, c_5) → F_4
  79. Segment(E_4, F_4) → j_7
  80. Intersect(g_5, h_5) → G_4
  81. Intersect(m_6, n_6) → H_4
  82. Segment(G_4, H_4) → k_7
  83. Intersect(k_5, l_5) → I_4
  84. Intersect(r_6, s_6) → J_4
  85. Segment(I_4, J_4) → l_7
  86. Intersect(i_2, j_2) → F
  87. Intersect(a_2, d_2) → G
  88. Segment(F, G) → i
  89. Midpoint(i) → H
  90. Intersect(i_3, j_3) → I
  91. Intersect(n_6, p_6) → K_4
  92. Segment(I, K_4) → j
  93. Midpoint(j) → L_4
  94. Line(L_4, p_4) → l

AI 绘图提示语参考

绘制一个由多个正方形组成的复杂几何模型，这些正方形通过边和顶点相互连接，形成一个立体结构。首先绘制一条垂直线段作为基础，然后在线段两侧依次绘制多个正方形，使它们逐个相连。接着，通过正方形的顶点和边绘制更多的正方形，使结构逐渐扩展。最后，连接这些正方形的边和顶点，形成复杂的几何形状。
以上提示语为根据原始绘图命令整理而来，仅供参考。