10/3和10/4多边形
几何画板及绘图内容加载中,请稍等……
该范例展示了伊斯兰几何图案中的10/3和10/4多边形。涉及的核心数学概念包括多边形、对称性、四边形、二次方程、逻辑。通过使用GeoGebra命令如构造步骤、旋转、多边形、点、中点、线段、交点、多边形等进行作图。适合初中及以上学生学习几何作图。
GeoGebra 命令及参数
ConstructionStep() → stapRotate(A, 36°) → A'Polygon(A, A', 10) → veelhoek1, f, p, B, C, D, E, F, G, H, I, g, h, i, j, k, l, m, nPoint(xAxis) → JRotate(K, 36°, J) → K'Polygon(K, K', 10) → veelhoek2, q, f_1, L, M, N, P, Q, R, S, T, r, s, t, a, b, c, d, eMidpoint(f) → UMidpoint(g) → VMidpoint(h) → WMidpoint(i) → ZMidpoint(j) → A_1Midpoint(k) → B_1Midpoint(l) → C_1Midpoint(m) → D_1Midpoint(n) → E_1Midpoint(p) → F_1Midpoint(q) → G_1Midpoint(r) → H_1Midpoint(s) → I_1Midpoint(t) → J_1Midpoint(a) → K_1Midpoint(b) → L_1Midpoint(c) → M_1Midpoint(d) → N_1Midpoint(e) → O_1Midpoint(f_1) → P_1Segment(U, Z) → g_1Segment(G_1, K_1) → h_1Segment(V, A_1) → i_1Segment(H_1, L_1) → j_1Segment(W, B_1) → k_1Segment(I_1, M_1) → l_1Segment(Z, C_1) → m_1Segment(J_1, N_1) → n_1Segment(A_1, D_1) → p_1Segment(K_1, O_1) → q_1Segment(B_1, E_1) → r_1Segment(L_1, P_1) → s_1Segment(C_1, F_1) → t_1Segment(M_1, G_1) → a_1Segment(D_1, U) → b_1Segment(N_1, H_1) → c_1Segment(E_1, V) → d_1Segment(O_1, I_1) → e_1Segment(F_1, W) → f_2Segment(P_1, J_1) → g_2Intersect(b_1, yAxis) → Q_1Intersect(d_1, f_2) → R_1Intersect(g_1, d_1) → S_1Intersect(g_1, f_2) → T_1Intersect(i_1, f_2) → U_1Intersect(g_1, xAxis) → V_1Intersect(g_1, k_1) → W_1Intersect(i_1, k_1) → Z_1Intersect(i_1, m_1) → A_2Intersect(k_1, m_1) → B_2Intersect(k_1, p_1) → C_2Intersect(p_1, m_1) → D_2Intersect(m_1, r_1) → E_2Intersect(p_1, r_1) → F_2Intersect(p_1, t_1) → G_2Intersect(r_1, t_1) → H_2Intersect(r_1, b_1) → I_2Intersect(t_1, b_1) → J_2Intersect(t_1, d_1) → K_2Intersect(b_1, d_1) → L_2Intersect(s_1, e_1) → M_2Intersect(a_1, e_1) → N_2Intersect(a_1, g_2) → O_2Intersect(c_1, g_2) → P_2Intersect(h_1, c_1) → Q_2Intersect(h_1, e_1) → R_2Intersect(j_1, e_1) → S_2Intersect(j_1, g_2) → T_2Intersect(l_1, g_2) → U_2Intersect(h_1, l_1) → V_2Intersect(h_1, n_1) → W_2Intersect(j_1, n_1) → Z_2Intersect(j_1, q_1) → A_3Intersect(l_1, q_1) → B_3Intersect(l_1, s_1) → C_3Intersect(n_1, s_1) → D_3Intersect(n_1, a_1) → E_3Intersect(q_1, a_1) → F_3Intersect(q_1, c_1) → G_3Intersect(s_1, c_1) → H_3PolyLine(Q_1, R_1, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, S_1, Q_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2) → h_2PolyLine(O_2, P_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, M_2, N_2, Q_2, O_2, R_2, S_2, T_2, U_2, V_2, W_2, Z_2) → i_2PolyLine(Q_1, U, C_2, B_1, E_2, C_1, G_2, D_1, I_2, E_1, K_2, F_1, S_1, Q_1, V, U_1, W, W_1, Z, A_2, A_1) → j_2PolyLine(O_2, G_1, A_3, L_1, C_3, M_1, E_3, N_1, G_3, O_1, M_2, P_1, Q_2, O_2, H_1, S_2, I_1, U_2, J_1, W_2, K_1) → k_2
AI 绘图提示语参考
绘制两个旋转36度的十边形,并找出各边中点,连接相邻中点形成新的多边形,最后交点处绘制辅助线,展示对称和几何变换的图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。