边界瓷砖

边界瓷砖
几何画板及绘图内容加载中,请稍等……
2015-07-28 06:14
该范例演示了如何使用GeoGebra绘制边界瓷砖图案。涉及的核心数学概念包括几何、正方形、三角形和比例变换。通过使用Polygon、对象等命令,可以构造出复杂的几何图形。适合初中及以上学生学习几何作图和变换。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Polygon(E_1, F_1, G_1, H_1) → poly2_1, e_1, f_1, g_1, h_1
  4. Polygon(E_2, F_2, G_2, H_2) → poly2_2, e_2, f_2, g_2, h_2
  5. Polygon(E_3, F_3, G_3, H_3) → poly2_3, e_3, f_3, g_3, h_3
  6. Polygon(E_4, F_4, G_4, H_4) → poly2_4, e_4, f_4, g_4, h_4
  7. Polygon(E_5, F_5, G_5, H_5) → poly2_5, e_5, f_5, g_5, h_5
  8. Polygon(E_6, F_6, G_6, H_6) → poly2_6, e_6, f_6, g_6, h_6
  9. Polygon(E_7, F_7, G_7, H_7) → poly2_7, e_7, f_7, g_7, h_7
  10. Polygon(E_8, F_8, G_8, H_8) → poly2_8, e_8, f_8, g_8, h_8
  11. Polygon(E_9, F_9, G_9, H_9) → poly2_9, e_9, f_9, g_9, h_9
  12. Polygon(I, J, K) → poly3, k, i, j
  13. Polygon(I_1, J_1, K_1) → poly3_1, k_1, i_1, j_1
  14. Polygon(I_2, J_2, K_2) → poly3_2, k_2, i_2, j_2
  15. Polygon(I_3, J_3, K_3) → poly3_3, k_3, i_3, j_3
  16. Polygon(I_4, J_4, K_4) → poly3_4, k_4, i_4, j_4
  17. Polygon(I_5, J_5, K_5) → poly3_5, k_5, i_5, j_5
  18. Polygon(I_6, J_6, K_6) → poly3_6, k_6, i_6, j_6
  19. Polygon(I_7, J_7, K_7) → poly3_7, k_7, i_7, j_7
  20. Polygon(I_8, J_8, K_8) → poly3_8, k_8, i_8, j_8
  21. Polygon(I_9, J_9, K_9) → poly3_9, k_9, i_9, j_9
  22. Polygon(L, M, N) → poly4, n, l, m
  23. Polygon(L_1, M_1, N_1) → poly4_1, n_1, l_1, m_1
  24. Polygon(L_2, M_2, N_2) → poly4_2, n_2, l_2, m_2
  25. Polygon(L_3, M_3, N_3) → poly4_3, n_3, l_3, m_3
  26. Polygon(L_4, M_4, N_4) → poly4_4, n_4, l_4, m_4
  27. Polygon(L_5, M_5, N_5) → poly4_5, n_5, l_5, m_5
  28. Polygon(L_6, M_6, N_6) → poly4_6, n_6, l_6, m_6
  29. Polygon(L_7, M_7, N_7) → poly4_7, n_7, l_7, m_7
  30. Polygon(L_8, M_8, N_8) → poly4_8, n_8, l_8, m_8
  31. Polygon(L_9, M_9, N_9) → poly4_9, n_9, l_9, m_9
  32. Polygon(O, P, Q, R) → poly5, o, p, q, r
  33. Polygon(O_1, P_1, Q_1, R_1) → poly5_1, o_1, p_1, q_1, r_1
  34. Polygon(O_2, P_2, Q_2, R_2) → poly5_2, o_2, p_2, q_2, r_2
  35. Polygon(O_3, P_3, Q_3, R_3) → poly5_3, o_3, p_3, q_3, r_3
  36. Polygon(S, T, U) → poly6, u, s, t
  37. Polygon(S_1, T_1, U_1) → poly6_1, u_1, s_1, t_1
  38. Polygon(S_2, T_2, U_2) → poly6_2, u_2, s_2, t_2
  39. Polygon(S_3, T_3, U_3) → poly6_3, u_3, s_3, t_3
  40. Polygon(S_5, T_5, U_5) → poly6_5, u_5, s_5, t_5
  41. Polygon(V, W, Z) → poly7, z_1, v, w
  42. Polygon(V_1, W_1, Z_1) → poly7_1, z_2, v_1, w_1
  43. Polygon(V_2, W_2, Z_2) → poly7_2, z_3, v_2, w_2
  44. Polygon(V_3, W_3, Z_3) → poly7_3, z_4, v_3, w_3
  45. Polygon(V_5, W_5, Z_5) → poly7_5, z_6, v_5, w_5
  46. Polygon(A_1, B_1, C_1, D_1) → poly8, a_1, b_1, c_1, d_1
  47. Polygon(A_2, B_2, C_2, D_2) → poly8_1, a_2, b_2, c_2, d_2
  48. Polygon(A_3, B_3, C_3, D_3) → poly8_2, a_3, b_3, c_3, d_3
  49. Polygon(A_4, B_4, C_4, D_4) → poly8_3, a_4, b_4, c_4, d_4
  50. Polygon(O_4, P_4, Q_4) → poly9, q_4, o_4, p_4
  51. Polygon(R_4, A_5, B_5) → poly10, b_5, r_4, a_5
  52. Polygon(O_5, P_5, Q_5) → poly9_1, q_5, o_5, p_5
  53. Polygon(R_5, A_6, B_6) → poly10_1, b_6, r_5, a_6
  54. Polygon(O_6, P_6, Q_6) → poly9_2, q_6, o_6, p_6
  55. Polygon(R_6, A_7, B_7) → poly10_2, b_7, r_6, a_7
  56. Polygon(O_7, P_7, Q_7) → poly9_3, q_7, o_7, p_7
  57. Polygon(R_7, A_8, B_8) → poly10_3, b_8, r_7, a_8
  58. Polygon(O_8, P_8, Q_8) → poly9_4, q_8, o_8, p_8
  59. Polygon(R_8, A_9, B_9) → poly10_4, b_9, r_8, a_9
  60. Polygon(O_9, P_9, Q_9) → poly9_5, q_9, o_9, p_9
  61. Polygon(R_9, A_{10}, B_{10}) → poly10_5, b_{10}, r_9, a_{10}
  62. Polygon(O_{10}, P_{10}, Q_{10}) → poly9_6, q_{10}, o_{10}, p_{10}
  63. Polygon(R_{10}, A_{11}, B_{11}) → poly10_6, b_{11}, r_{10}, a_{11}
  64. Polygon(O_{11}, P_{11}, Q_{11}) → poly9_7, q_{11}, o_{11}, p_{11}
  65. Polygon(R_{11}, A_{12}, B_{12}) → poly10_7, b_{12}, r_{11}, a_{12}
  66. Polygon(O_{12}, P_{12}, Q_{12}) → poly9_8, q_{12}, o_{12}, p_{12}
  67. Polygon(R_{12}, A_{13}, B_{13}) → poly10_8, b_{13}, r_{12}, a_{13}
  68. Polygon(O_{13}, P_{13}, Q_{13}) → poly9_9, q_{13}, o_{13}, p_{13}
  69. Polygon(R_{13}, A_{14}, B_{14}) → poly10_9, b_{14}, r_{13}, a_{14}
  70. Polygon(C_5, D_5, C_6) → poly11, c_6, c_5, d_5
  71. Polygon(D_6, S_6, T_6) → poly12, t_6, d_6, s_6
  72. Polygon(C_7, D_7, C_8) → poly11_1, c_7, c_8, d_7
  73. Polygon(D_8, S_7, T_7) → poly12_1, t_7, d_8, s_7
  74. Polygon(C_9, D_9, C_{10}) → poly11_2, c_9, c_{10}, d_9
  75. Polygon(D_{10}, S_8, T_8) → poly12_2, t_8, d_{10}, s_8
  76. Polygon(C_{11}, D_{11}, C_{12}) → poly11_3, c_{11}, c_{12}, d_{11}
  77. Polygon(D_{12}, S_9, T_9) → poly12_3, t_9, d_{12}, s_9
  78. Polygon(C_{13}, D_{13}, C_{14}) → poly11_4, c_{13}, c_{14}, d_{13}
  79. Polygon(D_{14}, S_{10}, T_{10}) → poly12_4, t_{10}, d_{14}, s_{10}

AI 绘图提示语参考

绘制一个由多个正方形和三角形组成的边框瓷砖图案。首先绘制9个正方形,每个正方形由4个顶点组成,然后在每个正方形的中心绘制一个小正方形,接着在每个小正方形的中心绘制一个三角形。最后,绘制3个大三角形,分别位于图案的左上角、右上角和右下角。
以上提示语为根据原始绘图命令整理而来,仅供参考。