设为真主之寺北西穹顶-部分

设为真主之寺北西穹顶-部分
几何画板及绘图内容加载中,请稍等……
2020-04-30 20:00
该范例演示了设为真主之寺北西穹顶的部分结构。涉及的核心数学概念包括几何作图和解析几何。通过使用Polygon, PolyLine, Point, Segment等GeoGebra命令,构建了穹顶的几何形状。适合高中数学教学和学习解析几何的学生。

GeoGebra 命令及参数

  1. Polygon(E, F, G, H, I) → veelhoek1, e, f, g, h, i
  2. PolyLine(J, K, T, L, M, N, O, P, Q, R, S) → j
  3. Point(i) → A_1
  4. Point(h) → B_1
  5. PolyLine(U, V, F_1, W, Z, A_1, I, B_1, C_1, D_1, E_1) → k
  6. Point(f) → G_3
  7. Point(f) → J_3
  8. Point(h) → O_3
  9. Point(i) → O_6
  10. Point(h) → S_6
  11. Polygon(C_7, D_7, M_7, J_8, K_8, L_8, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7) → veelhoek3, d, p_1, q_1, r_1, s_1, t_1, g_1, h_1, i_1, j_1, k_1, l_1, m_1, n_1
  12. Polygon(C_6, I_6, V_6, W_6, Z_6, A_7, B_7) → veelhoek2, l, m, p, q, a, b, c
  13. Polygon(N_7, O_7, Z_7, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8, I_8, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7) → veelhoek4, n_7, w_7, z_7, a_8, b_8, c_8, d_8, e_8, f_8, g_8, h_8, o_7, i_8, p_7, q_7, r_7, s_7, t_7, u_7, v_7
  14. PolyLine(D_7, G_7, N_8, I_7, O_8, K_7, P_8, M_7, M_8) → a_1
  15. PolyLine(Q_8, F_7, V_8, R_8, H_7, S_8, V_7, T_8, L_7, U_8, K_8) → b_1
  16. PolyLine(W_8, Z_8, A_9, B_9, T_7) → c_1
  17. PolyLine(E_9, C_9, C_6, F_9, D_9, G_9) → e_1
  18. PolyLine(Z_7, H_9, I_9, J_9, K_9) → f_2
  19. PolyLine(L_9, M_9, N_9, R_7) → g_2
  20. PolyLine(O_9, P_9, Q_9, R_9) → h_2
  21. PolyLine(W_9, V_9, V_6) → i_2
  22. PolyLine(A_7, U_9, T_9, S_9) → j_2
  23. Segment(Z_9, P_7) → k_2
  24. PolyLine(E_8, A_{10}, B_{10}) → l_2
  25. PolyLine(C_{10}, D_{10}, M_{10}, N_{10}, O_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}) → m_2
  26. PolyLine(V_2, W_2, I_3, U_6, K_3, L_3, M_3, N_3, O_3, P_5, I_2, Z_2, O_5, B_3, C_3, D_3, E_3, F_3, T_6, H_3) → t
  27. PolyLine(E_2, F_2, W, G_2, A_1, U_4) → n
  28. PolyLine(Z_4, B_1, H_2, D_1, J_2, K_2) → f_1
  29. PolyLine(F_2, W_2, G_2, B_3, U_4, V_4, H_3) → r
  30. PolyLine(J_2, I_2, H_2, O_3, Z_4, W_4, I_3, H_3) → s
  31. PolyLine(V_4, Q_6, W_4) → d_1
  32. PolyLine(P_{10}, Q_{10}, R_{10}, S_{10}) → n_2

AI 绘图提示语参考

绘制伊斯法罕星期五清真寺西北伊万门的平面图。先画一个五边形作为外轮廓,再画一条穿过其内部的折线作为主轴线。在五边形各边上取点,并连接这些点形成多条折线,构成门廊的装饰性边框。接着绘制多个多边形,分别位于五边形内部和外部,代表不同的建筑区块。最后用若干折线和线段连接各区块的顶点,形成复杂的几何纹样,整体呈对称布局,体现清真寺建筑的几何美感。
以上提示语为根据原始绘图命令整理而来,仅供参考。