多边形周长与 P 数:探究圆周率 pi 的逼近过程
几何画板及绘图内容加载中,请稍等……
本范例演示正多边形周长随边数增加逼近圆周率 pi 的数学现象。核心概念涉及极限思想、数值收敛及几何周长计算。作图要点包括使用 GeoGebra 的 Polygon 命令构建多边形,Perimeter 计算周长,Intersect 和 Rotate 处理几何关系,并通过滑块 n 控制边数变化。适合中学阶段学生探究圆周率来源,辅助理解微积分前的极限概念,具有直观教学价值。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → ARotate(B, 180*°, A) → R_{41}Rotate(B, 180° + (360 * ° / n), A) → DSegment(R_{41}, D) → s_1Point(s_1) → U_{41}Rotate(B, (360 * ° / n), A) → CPolygon(B, C, n) → poly1, a, k, i_5, q_{52}, C_9, D_{42}, E, F, G, H, I, J, K, j_5, L, M, N, O, P, Q, R, S, T, U, k_5, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, l_5, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, m_5, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, n_5, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, p_5, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, q_5, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, r_5, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3, s_5, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, l, t_5, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4, O_4, a_6, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, b_6, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, c_6, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5, U_5, d_6, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6, G_6, e_6, H_6, I_6, J_6, K_6, L_6, M_6, N_6, O_6, P_6, Q_6, f_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7, C_7, g_6, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, h_6, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7, i_6, Z_7, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8, I_8, m, j_6, J_8, K_8, L_8, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, k_6, T_8, U_8, V_8, W_8, Z_8, A_9, B_9, D_9, E_9, F_9, l_6, G_9, H_9, I_9, J_9, K_9, L_9, M_9, N_9, O_9, P_9, m_6, Q_9, R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}, n_6, C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, p_6, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, U_{10}, V_{10}, q_6, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, r_6, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, s_6, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}, t_6, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, p, a_7, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, b_7, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, c_7, K_{13}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, d_7, U_{13}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, E_{14}, F_{14}, e_7, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, P_{14}, f_7, Q_{14}, R_{14}, S_{14}, T_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}, g_7, C_{15}, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}, K_{15}, L_{15}, h_7, M_{15}, N_{15}, O_{15}, P_{15}, Q_{15}, R_{15}, S_{15}, T_{15}, U_{15}, V_{15}, i_7, W_{15}, Z_{15}, A_{16}, B_{16}, C_{16}, D_{16}, E_{16}, F_{16}, G_{16}, H_{16}, j_7, I_{16}, J_{16}, K_{16}, L_{16}, M_{16}, N_{16}, O_{16}, P_{16}, Q_{16}, R_{16}, q, k_7, S_{16}, T_{16}, U_{16}, V_{16}, W_{16}, Z_{16}, A_{17}, B_{17}, C_{17}, D_{17}, l_7, E_{17}, F_{17}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, M_{17}, N_{17}, m_7, O_{17}, P_{17}, Q_{17}, R_{17}, S_{17}, T_{17}, U_{17}, V_{17}, W_{17}, Z_{17}, n_7, A_{18}, B_{18}, C_{18}, D_{18}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}, J_{18}, p_7, K_{18}, L_{18}, M_{18}, N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}, S_{18}, T_{18}, q_7, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}, C_{19}, D_{19}, E_{19}, F_{19}, r_7, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}, M_{19}, N_{19}, O_{19}, P_{19}, s_7, Q_{19}, R_{19}, S_{19}, T_{19}, U_{19}, V_{19}, W_{19}, Z_{19}, A_{20}, B_{20}, t_7, C_{20}, D_{20}, E_{20}, F_{20}, G_{20}, H_{20}, I_{20}, J_{20}, K_{20}, L_{20}, a_8, M_{20}, N_{20}, O_{20}, P_{20}, Q_{20}, R_{20}, S_{20}, T_{20}, U_{20}, V_{20}, r, b_8, W_{20}, Z_{20}, A_{21}, B_{21}, C_{21}, D_{21}, E_{21}, F_{21}, G_{21}, H_{21}, c_8, I_{21}, J_{21}, K_{21}, L_{21}, M_{21}, N_{21}, O_{21}, P_{21}, Q_{21}, R_{21}, d_8, S_{21}, T_{21}, U_{21}, V_{21}, W_{21}, Z_{21}, A_{22}, B_{22}, C_{22}, D_{22}, e_8, E_{22}, F_{22}, G_{22}, H_{22}, I_{22}, J_{22}, K_{22}, L_{22}, M_{22}, N_{22}, f_8, O_{22}, P_{22}, Q_{22}, R_{22}, S_{22}, T_{22}, U_{22}, V_{22}, W_{22}, Z_{22}, g_8, A_{23}, B_{23}, C_{23}, D_{23}, E_{23}, F_{23}, G_{23}, H_{23}, I_{23}, J_{23}, h_8, K_{23}, L_{23}, M_{23}, N_{23}, O_{23}, P_{23}, Q_{23}, R_{23}, S_{23}, T_{23}, i_8, U_{23}, V_{23}, W_{23}, Z_{23}, A_{24}, B_{24}, C_{24}, D_{24}, E_{24}, F_{24}, j_8, G_{24}, H_{24}, I_{24}, J_{24}, K_{24}, L_{24}, M_{24}, N_{24}, O_{24}, P_{24}, k_8, Q_{24}, R_{24}, S_{24}, T_{24}, U_{24}, V_{24}, W_{24}, Z_{24}, A_{25}, B_{25}, s, l_8, C_{25}, D_{25}, E_{25}, F_{25}, G_{25}, H_{25}, I_{25}, J_{25}, K_{25}, L_{25}, m_8, M_{25}, N_{25}, O_{25}, P_{25}, Q_{25}, R_{25}, S_{25}, T_{25}, U_{25}, V_{25}, n_8, W_{25}, Z_{25}, A_{26}, B_{26}, C_{26}, D_{26}, E_{26}, F_{26}, G_{26}, H_{26}, p_8, I_{26}, J_{26}, K_{26}, L_{26}, M_{26}, N_{26}, O_{26}, P_{26}, Q_{26}, R_{26}, q_8, S_{26}, T_{26}, U_{26}, V_{26}, W_{26}, Z_{26}, A_{27}, B_{27}, C_{27}, D_{27}, r_8, E_{27}, F_{27}, G_{27}, H_{27}, I_{27}, J_{27}, K_{27}, L_{27}, M_{27}, N_{27}, s_8, O_{27}, P_{27}, Q_{27}, R_{27}, S_{27}, T_{27}, U_{27}, V_{27}, W_{27}, Z_{27}, t_8, A_{28}, B_{28}, C_{28}, D_{28}, E_{28}, F_{28}, G_{28}, H_{28}, I_{28}, J_{28}, a_9, K_{28}, L_{28}, M_{28}, N_{28}, O_{28}, P_{28}, Q_{28}, R_{28}, S_{28}, T_{28}, b_9, U_{28}, V_{28}, W_{28}, Z_{28}, A_{29}, B_{29}, C_{29}, D_{29}, E_{29}, F_{29}, t, c_9, G_{29}, H_{29}, I_{29}, J_{29}, K_{29}, L_{29}, M_{29}, N_{29}, O_{29}, P_{29}, d_9, Q_{29}, R_{29}, S_{29}, T_{29}, U_{29}, V_{29}, W_{29}, Z_{29}, A_{30}, B_{30}, e_9, C_{30}, D_{30}, E_{30}, F_{30}, G_{30}, H_{30}, I_{30}, J_{30}, K_{30}, L_{30}, f_9, M_{30}, N_{30}, O_{30}, P_{30}, Q_{30}, R_{30}, S_{30}, T_{30}, U_{30}, V_{30}, g_9, W_{30}, Z_{30}, A_{31}, B_{31}, C_{31}, D_{31}, E_{31}, F_{31}, G_{31}, H_{31}, h_9, I_{31}, J_{31}, K_{31}, L_{31}, M_{31}, N_{31}, O_{31}, P_{31}, Q_{31}, R_{31}, i_9, S_{31}, T_{31}, U_{31}, V_{31}, W_{31}, Z_{31}, A_{32}, B_{32}, C_{32}, D_{32}, j_9, E_{32}, F_{32}, G_{32}, H_{32}, I_{32}, J_{32}, K_{32}, L_{32}, M_{32}, N_{32}, k_9, O_{32}, P_{32}, Q_{32}, R_{32}, S_{32}, T_{32}, U_{32}, V_{32}, W_{32}, Z_{32}, l_9, A_{33}, B_{33}, C_{33}, D_{33}, E_{33}, F_{33}, G_{33}, H_{33}, I_{33}, J_{33}, a_1, m_9, K_{33}, L_{33}, M_{33}, N_{33}, O_{33}, P_{33}, Q_{33}, R_{33}, S_{33}, T_{33}, n_9, U_{33}, V_{33}, W_{33}, Z_{33}, A_{34}, B_{34}, C_{34}, D_{34}, E_{34}, F_{34}, p_9, G_{34}, H_{34}, I_{34}, J_{34}, K_{34}, L_{34}, M_{34}, N_{34}, O_{34}, P_{34}, q_9, Q_{34}, R_{34}, S_{34}, T_{34}, U_{34}, V_{34}, W_{34}, Z_{34}, A_{35}, B_{35}, r_9, C_{35}, D_{35}, E_{35}, F_{35}, G_{35}, H_{35}, I_{35}, J_{35}, K_{35}, L_{35}, s_9, M_{35}, N_{35}, O_{35}, P_{35}, Q_{35}, R_{35}, S_{35}, T_{35}, U_{35}, V_{35}, t_9, W_{35}, Z_{35}, A_{36}, B_{36}, C_{36}, D_{36}, E_{36}, F_{36}, G_{36}, H_{36}, a_{10}, I_{36}, J_{36}, K_{36}, L_{36}, M_{36}, N_{36}, O_{36}, P_{36}, Q_{36}, R_{36}, b_{10}, S_{36}, T_{36}, U_{36}, V_{36}, W_{36}, Z_{36}, A_{37}, B_{37}, C_{37}, D_{37}, c_{10}, E_{37}, F_{37}, G_{37}, H_{37}, I_{37}, J_{37}, K_{37}, L_{37}, M_{37}, N_{37}, b_1, d_{10}, O_{37}, P_{37}, Q_{37}, R_{37}, S_{37}, T_{37}, U_{37}, V_{37}, W_{37}, Z_{37}, e_{10}, A_{38}, B_{38}, C_{38}, D_{38}, E_{38}, F_{38}, G_{38}, H_{38}, I_{38}, J_{38}, f_{10}, K_{38}, L_{38}, M_{38}, N_{38}, O_{38}, P_{38}, Q_{38}, R_{38}, S_{38}, T_{38}, g_{10}, U_{38}, V_{38}, W_{38}, Z_{38}, A_{39}, B_{39}, C_{39}, D_{39}, E_{39}, F_{39}, h_{10}, G_{39}, H_{39}, I_{39}, J_{39}, K_{39}, L_{39}, M_{39}, N_{39}, O_{39}, P_{39}, i_{10}, Q_{39}, R_{39}, S_{39}, T_{39}, U_{39}, V_{39}, W_{39}, Z_{39}, A_{40}, B_{40}, j_{10}, C_{40}, D_{40}, E_{40}, F_{40}, G_{40}, H_{40}, I_{40}, J_{40}, K_{40}, L_{40}, k_{10}, M_{40}, N_{40}, O_{40}, P_{40}, Q_{40}, R_{40}, S_{40}, T_{40}, U_{40}, V_{40}, l_{10}, W_{40}, Z_{40}, A_{41}, B_{41}, C_{41}, D_{41}, E_{41}, F_{41}, G_{41}, H_{41}, m_{10}, I_{41}, J_{41}, K_{41}, L_{41}, M_{41}, N_{41}, O_{41}, P_{41}, Q_{41}, b, c_1, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}, t_{10}, a_{11}, b_{11}, c_{11}, d_{11}, d_1, e_{11}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}, e_1, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_1, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}, p_{12}, g_1, q_{12}, r_{12}, s_{12}, t_{12}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13}, h_1, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, p_{13}, q_{13}, i_1, r_{13}, s_{13}, t_{13}, a_{14}, b_{14}, c_{14}, d_{14}, e_{14}, f_{14}, g_{14}, j_1, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, p_{14}, q_{14}, r_{14}, k_1, s_{14}, t_{14}, a_{15}, b_{15}, c_{15}, d_{15}, e_{15}, f_{15}, g_{15}, h_{15}, l_1, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}, n_{15}, p_{15}, q_{15}, r_{15}, s_{15}, d, m_1, t_{15}, a_{16}, b_{16}, c_{16}, d_{16}, e_{16}, f_{16}, g_{16}, h_{16}, i_{16}, n_1, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, p_{16}, q_{16}, r_{16}, s_{16}, t_{16}, p_1, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}, q_1, k_{17}, l_{17}, m_{17}, n_{17}, p_{17}, q_{17}, r_{17}, s_{17}, t_{17}, a_{18}, r_1, b_{18}, c_{18}, d_{18}, e_{18}, f_{18}, g_{18}, h_{18}, i_{18}, j_{18}, k_{18}, a_2, l_{18}, m_{18}, n_{18}, p_{18}, q_{18}, r_{18}, s_{18}, t_{18}, a_{19}, b_{19}, b_2, c_{19}, d_{19}, e_{19}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}, l_{19}, c_2, m_{19}, n_{19}, p_{19}, q_{19}, r_{19}, s_{19}, t_{19}, a_{20}, b_{20}, c_{20}, d_2, d_{20}, e_{20}, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}, l_{20}, m_{20}, e_2, n_{20}, p_{20}, q_{20}, r_{20}, s_{20}, t_{20}, a_{21}, b_{21}, c_{21}, d_{21}, e, f_2, e_{21}, f_{21}, g_{21}, h_{21}, i_{21}, j_{21}, k_{21}, l_{21}, m_{21}, n_{21}, g_2, p_{21}, q_{21}, r_{21}, s_{21}, t_{21}, a_{22}, b_{22}, c_{22}, d_{22}, e_{22}, h_2, f_{22}, g_{22}, h_{22}, i_{22}, j_{22}, k_{22}, l_{22}, m_{22}, n_{22}, p_{22}, i_2, q_{22}, r_{22}, s_{22}, t_{22}, a_{23}, b_{23}, c_{23}, d_{23}, e_{23}, f_{23}, j_2, g_{23}, h_{23}, i_{23}, j_{23}, k_{23}, l_{23}, m_{23}, n_{23}, p_{23}, q_{23}, k_2, r_{23}, s_{23}, t_{23}, a_{24}, b_{24}, c_{24}, d_{24}, e_{24}, f_{24}, g_{24}, l_2, h_{24}, i_{24}, j_{24}, k_{24}, l_{24}, m_{24}, n_{24}, p_{24}, q_{24}, r_{24}, m_2, s_{24}, t_{24}, a_{25}, b_{25}, c_{25}, d_{25}, e_{25}, f_{25}, g_{25}, h_{25}, n_2, i_{25}, j_{25}, k_{25}, l_{25}, m_{25}, n_{25}, p_{25}, q_{25}, r_{25}, s_{25}, p_2, t_{25}, a_{26}, b_{26}, c_{26}, d_{26}, e_{26}, f_{26}, g_{26}, h_{26}, i_{26}, f, q_2, j_{26}, k_{26}, l_{26}, m_{26}, n_{26}, p_{26}, q_{26}, r_{26}, s_{26}, t_{26}, r_2, a_{27}, b_{27}, c_{27}, d_{27}, e_{27}, f_{27}, g_{27}, h_{27}, i_{27}, j_{27}, s_2, k_{27}, l_{27}, m_{27}, n_{27}, p_{27}, q_{27}, r_{27}, s_{27}, t_{27}, a_{28}, t_2, b_{28}, c_{28}, d_{28}, e_{28}, f_{28}, g_{28}, h_{28}, i_{28}, j_{28}, k_{28}, a_3, l_{28}, m_{28}, n_{28}, p_{28}, q_{28}, r_{28}, s_{28}, t_{28}, a_{29}, b_{29}, b_3, c_{29}, d_{29}, e_{29}, f_{29}, g_{29}, h_{29}, i_{29}, j_{29}, k_{29}, l_{29}, c_3, m_{29}, n_{29}, p_{29}, q_{29}, r_{29}, s_{29}, t_{29}, a_{30}, b_{30}, c_{30}, d_3, d_{30}, e_{30}, f_{30}, g_{30}, h_{30}, i_{30}, j_{30}, k_{30}, l_{30}, m_{30}, e_3, n_{30}, p_{30}, q_{30}, r_{30}, s_{30}, t_{30}, a_{31}, b_{31}, c_{31}, d_{31}, f_3, e_{31}, f_{31}, g_{31}, h_{31}, i_{31}, j_{31}, k_{31}, l_{31}, m_{31}, n_{31}, g, g_3, p_{31}, q_{31}, r_{31}, s_{31}, t_{31}, a_{32}, b_{32}, c_{32}, d_{32}, e_{32}, h_3, f_{32}, g_{32}, h_{32}, i_{32}, j_{32}, k_{32}, l_{32}, m_{32}, n_{32}, p_{32}, i_3, q_{32}, r_{32}, s_{32}, t_{32}, a_{33}, b_{33}, c_{33}, d_{33}, e_{33}, f_{33}, j_3, g_{33}, h_{33}, i_{33}, j_{33}, k_{33}, l_{33}, m_{33}, n_{33}, p_{33}, q_{33}, k_3, r_{33}, s_{33}, t_{33}, a_{34}, b_{34}, c_{34}, d_{34}, e_{34}, f_{34}, g_{34}, l_3, h_{34}, i_{34}, j_{34}, k_{34}, l_{34}, m_{34}, n_{34}, p_{34}, q_{34}, r_{34}, m_3, s_{34}, t_{34}, a_{35}, b_{35}, c_{35}, d_{35}, e_{35}, f_{35}, g_{35}, h_{35}, n_3, i_{35}, j_{35}, k_{35}, l_{35}, m_{35}, n_{35}, p_{35}, q_{35}, r_{35}, s_{35}, p_3, t_{35}, a_{36}, b_{36}, c_{36}, d_{36}, e_{36}, f_{36}, g_{36}, h_{36}, i_{36}, q_3, j_{36}, k_{36}, l_{36}, m_{36}, n_{36}, p_{36}, q_{36}, r_{36}, s_{36}, t_{36}, h, r_3, a_{37}, b_{37}, c_{37}, d_{37}, e_{37}, f_{37}, g_{37}, h_{37}, i_{37}, j_{37}, s_3, k_{37}, l_{37}, m_{37}, n_{37}, p_{37}, q_{37}, r_{37}, s_{37}, t_{37}, a_{38}, t_3, b_{38}, c_{38}, d_{38}, e_{38}, f_{38}, g_{38}, h_{38}, i_{38}, j_{38}, k_{38}, a_4, l_{38}, m_{38}, n_{38}, p_{38}, q_{38}, r_{38}, s_{38}, t_{38}, a_{39}, b_{39}, b_4, c_{39}, d_{39}, e_{39}, f_{39}, g_{39}, h_{39}, i_{39}, j_{39}, k_{39}, l_{39}, c_4, m_{39}, n_{39}, p_{39}, q_{39}, r_{39}, s_{39}, t_{39}, a_{40}, b_{40}, c_{40}, d_4, d_{40}, e_{40}, f_{40}, g_{40}, h_{40}, i_{40}, j_{40}, k_{40}, l_{40}, m_{40}, e_4, n_{40}, p_{40}, q_{40}, r_{40}, s_{40}, t_{40}, a_{41}, b_{41}, c_{41}, d_{41}, f_4, e_{41}, f_{41}, g_{41}, h_{41}, i_{41}, j_{41}, k_{41}, l_{41}, m_{41}, n_{41}, g_4, p_{41}, q_{41}, r_{41}, s_{41}, t_{41}, a_{42}, b_{42}, c_{42}, d_{42}, e_{42}, i, h_4, f_{42}, g_{42}, h_{42}, i_{42}, j_{42}, k_{42}, l_{42}, m_{42}, n_{42}, p_{42}, i_4, q_{42}, r_{42}, s_{42}, t_{42}, a_{43}, b_{43}, c_{43}, d_{43}, e_{43}, f_{43}, j_4, g_{43}, h_{43}, i_{43}, j_{43}, k_{43}, l_{43}, m_{43}, n_{43}, p_{43}, q_{43}, k_4, r_{43}, s_{43}, t_{43}, a_{44}, b_{44}, c_{44}, d_{44}, e_{44}, f_{44}, g_{44}, l_4, h_{44}, i_{44}, j_{44}, k_{44}, l_{44}, m_{44}, n_{44}, p_{44}, q_{44}, r_{44}, m_4, s_{44}, t_{44}, a_{45}, b_{45}, c_{45}, d_{45}, e_{45}, f_{45}, g_{45}, h_{45}, n_4, i_{45}, j_{45}, k_{45}, l_{45}, m_{45}, n_{45}, p_{45}, q_{45}, r_{45}, s_{45}, p_4, t_{45}, a_{46}, b_{46}, c_{46}, d_{46}, e_{46}, f_{46}, g_{46}, h_{46}, i_{46}, q_4, j_{46}, k_{46}, l_{46}, m_{46}, n_{46}, p_{46}, q_{46}, r_{46}, s_{46}, t_{46}, r_4, a_{47}, b_{47}, c_{47}, d_{47}, e_{47}, f_{47}, g_{47}, h_{47}, i_{47}, j_{47}, j, s_4, k_{47}, l_{47}, m_{47}, n_{47}, p_{47}, q_{47}, r_{47}, s_{47}, t_{47}, a_{48}, t_4, b_{48}, c_{48}, d_{48}, e_{48}, f_{48}, g_{48}, h_{48}, i_{48}, j_{48}, k_{48}, a_5, l_{48}, m_{48}, n_{48}, p_{48}, q_{48}, r_{48}, s_{48}, t_{48}, a_{49}, b_{49}, b_5, c_{49}, d_{49}, e_{49}, f_{49}, g_{49}, h_{49}, i_{49}, j_{49}, k_{49}, l_{49}, c_5, m_{49}, n_{49}, p_{49}, q_{49}, r_{49}, s_{49}, t_{49}, a_{50}, b_{50}, c_{50}, d_5, d_{50}, e_{50}, f_{50}, g_{50}, h_{50}, i_{50}, j_{50}, k_{50}, l_{50}, m_{50}, e_5, n_{50}, p_{50}, q_{50}, r_{50}, s_{50}, t_{50}, a_{51}, b_{51}, c_{51}, d_{51}, f_5, e_{51}, f_{51}, g_{51}, h_{51}, i_{51}, j_{51}, k_{51}, l_{51}, m_{51}, n_{51}, g_5, p_{51}, q_{51}, r_{51}, s_{51}, t_{51}, a_{52}, b_{52}, c_{52}, d_{52}, e_{52}, h_5, f_{52}, g_{52}, h_{52}, i_{52}, j_{52}, k_{52}, l_{52}, m_{52}, n_{52}, p_{52}Perimeter(poly1) → oCircle(A, 1) → cAngle(B, A, C) → αMidpoint(s_1) → S_{41}Midpoint(a) → T_{41}Segment(S_{41}, T_{41}) → t_1Segment(B, U_{41}) → r_{52}Segment(U_{41}, B) → s_{52}
AI 绘图提示语参考
画一个正多边形,使其边数由滑块控制,并展示其周长。在正多边形内部画一个圆,使其周长逐渐接近正多边形的周长。通过旋转和连接操作,动态展示正多边形边数增加时,其周长如何逼近圆的周长,从而直观解释π的概念。
以上提示语为根据原始绘图命令整理而来,仅供参考。