设在伊斯法罕东北的星期五清真寺礼拜殿(2)
几何画板及绘图内容加载中,请稍等……
这个范例演示了设在伊斯法罕东北的星期五清真寺礼拜殿的几何构造。涉及的核心数学概念包括几何作图和变换。通过使用GeoGebra命令如Segment, Mirror, Point, PolyLine, Polygon, Intersect等,可以构造出礼拜殿的复杂结构。适合高中或大学的几何学课程使用。
GeoGebra 命令及参数
Segment(Z_7, A_8) → d_2Mirror(T_7, d_2) → N_8Mirror(Q_7, d_2) → Q_8Mirror(U_7, d_2) → O_8Segment(N_8, O_8) → nPoint(n) → V_8PolyLine(G_5, H_5, I_5, J_5) → dPoint(d) → W_5PolyLine(U_3, A_4, J_4, B_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4) → aPoint(a) → I_6PolyLine(U_3, V_3, S_4, T_4, K_4, L_4, M_4, N_4, O_4, P_4, Q_4, R_4) → bPoint(b) → U_5PolyLine(R_1, S_1, D_2, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2) → mPoint(m) → C_6Polygon(Q_5, R_5, C_6, D_6, E_6, F_6, G_6, H_6, I_6, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6) → veelhoek4, q_5, b_6, c_6, d_6, e_6, f_6, g_6, h_6, i_6, r_5, s_5, t_5, u_5, v_5, w_5, z_5, a_6Point(d_6) → L_7Polygon(E, F, G, H, I) → veelhoek1, e, f, g, h, iPolyLine(J, K, T, L, M, N, O, P, Q, R, S) → jPoint(i) → A_1Point(h) → B_1PolyLine(G_1, H_1, Q_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1) → lPolyLine(U, V, F_1, W, Z, A_1, I, B_1, C_1, D_1, E_1) → kPolyLine(L_2, M_2, N_2, O_2, P_2) → pPolyLine(Q_2, R_2, S_2, T_2, U_2) → qPoint(f) → G_3Point(f) → J_3Point(h) → O_3Polygon(Q_3, G_1, C_2, Q_1, S_1, I_1, U_1, K_1, W_1, M_1, A_2, O_1) → veelhoek2, q_3, o_1, c_2, q_1, g_1, s_1, i_1, u_1, k_1, w_1, m_1, a_2Polygon(R_3, S_3, T_3, M_5, N_5, W_3, Z_3) → veelhoek3, l_1, n_1, p_1, r_1, t_1, a_1, b_1PolyLine(D_5, E_5, T_3) → cPolyLine(A_5, F_5, B_5, C_5) → h_1PolyLine(K_5, L_5, W_3) → j_1PolyLine(J_6, K_6, L_6, M_6, N_6) → c_1Point(i) → O_6Point(h) → S_6PolyLine(V_6, W_2, I_3, U_6, K_3, L_3, M_3, N_3, O_3, P_5, I_2, W_6, O_5, B_3, C_3, D_3, E_3, F_3, T_6, H_3) → tPolyLine(E_2, F_2, W, G_2, A_1, U_4) → n_3PolyLine(Z_4, B_1, H_2, D_1, J_2, K_2) → f_1PolyLine(V_4, Q_6, W_4) → d_1PolyLine(V_2, W_2, A_3, B_3, U_4, V_4, H_3) → rPolyLine(Z_2, I_2, P_3, O_3, Z_4, W_4, I_3) → sPolygon(A_7, B_7, C_7, D_7, E_7, F_7) → veelhoek5, e_1, f_2, g_2, h_2, i_2, j_2Polygon(J_7, K_7, L_7, M_7, N_7, U_7) → veelhoek6, k_2, l_2, m_2, n_2, p_2, b_2Segment(H_7, Q_7) → q_2Segment(R_7, S_7) → r_2Segment(T_7, U_7) → s_2Point(d_6) → V_7Segment(V_7, W_7) → t_2Mirror(J_7, d_2) → B_8Mirror(K_7, d_2) → C_8Mirror(L_7, d_2) → D_8Mirror(M_7, d_2) → E_8Mirror(N_7, d_2) → F_8Mirror(U_7, d_2) → G_8Polygon(B_8, C_8, D_8, E_8, F_8, G_8) → veelhoek6', b_8, c_8, d_8, e_8, f_8, g_8Mirror(A_7, d_2) → H_8Mirror(B_7, d_2) → I_8Mirror(C_7, d_2) → J_8Mirror(D_7, d_2) → K_8Mirror(E_7, d_2) → L_8Mirror(F_7, d_2) → M_8Polygon(H_8, I_8, J_8, K_8, L_8, M_8) → veelhoek5', h_8, i_8, j_8, k_8, l_8, m_8Mirror(H_7, d_2) → P_8Segment(P_8, Q_8) → f_3Mirror(V_7, d_2) → R_8Mirror(W_7, d_2) → S_8Segment(R_8, S_8) → g_3Mirror(R_7, d_2) → T_8Mirror(S_7, d_2) → U_8Polygon(V_8, W_8, Q_8, Z_8, A_9, B_9) → veelhoek7, e_2, i_3, j_3, k_3, l_3, m_3Segment(T_8, U_8) → h_3Mirror(V_8, d_2) → C_9Mirror(W_8, d_2) → D_9Mirror(Q_8, d_2) → E_9Mirror(Z_8, d_2) → F_9Mirror(A_9, d_2) → G_9Mirror(B_9, d_2) → H_9Polygon(C_9, D_9, E_9, F_9, G_9, H_9) → veelhoek7', c_9, d_9, e_9, f_9, g_9, h_9Polygon(I_9, J_9, K_9, L_9, M_9, N_9, O_9) → veelhoek8, i_9, j_9, k_9, l_9, m_9, n_9, o_9Intersect(h, i) → P_9Segment(P_9, Q_9) → p_3Mirror(I_9, p_3) → R_9Mirror(J_9, p_3) → S_9Mirror(K_9, p_3) → T_9Mirror(L_9, p_3) → U_9Mirror(M_9, p_3) → V_9Mirror(N_9, p_3) → W_9Mirror(O_9, p_3) → Z_9Polygon(R_9, S_9, T_9, U_9, V_9, W_9, Z_9) → veelhoek8', r_9, s_9, t_9, u_9, v_9, w_9, z_9