多边形与勾股定理的演示

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Angle(A, B, C) → α
3. Segment(A, B) → s
4. Segment(B, C) → t
5. Segment(C, A) → c
6. Polygon(A, C, n) → Area_C, i, j_3, m_{31}, E, N, T, B_1, H_1, N_1, T_1, B_2, H_2, q_3, N_2, T_2, B_3, H_3, N_3, T_3, B_4, H_4, N_4, T_4, c_3, B_5, H_5, N_5, T_5, B_6, H_6, N_6, T_6, B_7, H_7, i_4, N_7, T_7, B_8, H_8, N_8, T_8, B_9, H_9, N_9, T_9, p_4, B_{10}, H_{10}, N_{10}, T_{10}, B_{11}, H_{11}, I_{11}, T_{11}, U_{11}, H_{12}, b_4, N_{12}, T_{12}, B_{13}, H_{13}, I_{13}, T_{13}, U_{13}, V_{13}, N_{14}, O_{14}, h_5, P_{14}, H_{15}, I_{15}, T_{15}, U_{15}, V_{15}, W_{15}, T_{16}, B_{17}, C_{17}, n_5, D_{17}, T_{17}, B_{18}, C_{18}, N_{18}, O_{18}, P_{18}, H_{19}, N_{19}, O_{19}, a_5, P_{19}, H_{20}, I_{20}, T_{20}, U_{20}, H_{21}, I_{21}, J_{21}, B_{22}, C_{22}, g_6, N_{22}, O_{22}, P_{22}, Q_{22}, N_{23}, O_{23}, P_{23}, H_{24}, I_{24}, j, m_6, t_6, f_7, l_7, s_7, e_7, k_8, r_8, d_8, j_9, k_1, q_9, c_9, i_{10}, p_{10}, b_{10}, h_{11}, n_{11}, a_{11}, g_{12}, m_{12}, l_1, t_{12}, f_{13}, l_{13}, s_{13}, e_{13}, k_{14}, r_{14}, d_{14}, e_{14}, q_{15}, s_1, r_{15}, i_{16}, p_{16}, b_{16}, h_{17}, n_{17}, p_{17}, g_{18}, h_{18}, i_{18}, e_1, f_{19}, g_{19}, h_{19}, e_{19}, f_{20}, r_{20}, s_{20}, t_{20}, a_{20}, c_{21}, k_2, i_{22}, j_{22}, k_{22}, h_{23}, n_{23}, p_{23}, g_{24}, h_{24}, i_{24}, f_{25}, r_2, l_{25}, m_{25}, n_{25}, k_{26}, l_{26}, d_{26}, e_{26}, q_{27}, r_{27}, s_{27}, d_2, p_{28}, q_{28}, h_{29}, i_{29}, j_{29}, k_{29}, m_{30}, n_{30}, p_{30}, l_{31}
7. Polygon(B, A, n) → Area_A, p, k_3, p_{31}, H, O, U, C_1, I_1, O_1, U_1, C_2, I_2, r_3, O_2, U_2, C_3, I_3, O_3, U_3, C_4, I_4, O_4, U_4, d_3, C_5, I_5, O_5, U_5, C_6, I_6, O_6, U_6, C_7, I_7, j_4, O_7, U_7, C_8, I_8, O_8, U_8, C_9, I_9, O_9, U_9, q_4, C_{10}, I_{10}, O_{10}, U_{10}, C_{11}, J_{11}, K_{11}, V_{11}, W_{11}, I_{12}, c_4, O_{12}, U_{12}, C_{13}, J_{13}, K_{13}, W_{13}, Z_{13}, A_{14}, Q_{14}, R_{14}, i_5, S_{14}, J_{15}, K_{15}, Z_{15}, A_{16}, B_{16}, C_{16}, U_{16}, E_{17}, F_{17}, p_5, G_{17}, U_{17}, D_{18}, E_{18}, Q_{18}, R_{18}, S_{18}, I_{19}, Q_{19}, R_{19}, b_5, S_{19}, J_{20}, K_{20}, V_{20}, W_{20}, K_{21}, L_{21}, M_{21}, D_{22}, E_{22}, h_6, R_{22}, S_{22}, T_{22}, U_{22}, Q_{23}, R_{23}, S_{23}, J_{24}, K_{24}, f_1, n_6, a_6, g_7, m_7, t_7, f_8, l_8, s_8, e_8, k_9, g_1, r_9, d_9, j_{10}, q_{10}, c_{10}, i_{11}, p_{11}, b_{11}, h_{12}, n_{12}, m_1, a_{12}, g_{13}, m_{13}, t_{13}, f_{14}, l_{14}, s_{14}, f_{15}, g_{15}, s_{15}, t_1, t_{15}, j_{16}, q_{16}, c_{16}, i_{17}, q_{17}, r_{17}, j_{18}, k_{18}, l_{18}, f_2, i_{19}, j_{19}, k_{19}, g_{20}, h_{20}, b_{20}, c_{20}, d_{20}, e_{20}, d_{21}, l_2, l_{22}, m_{22}, n_{22}, i_{23}, q_{23}, r_{23}, j_{24}, k_{24}, l_{24}, g_{25}, s_2, p_{25}, q_{25}, r_{25}, m_{26}, n_{26}, f_{27}, g_{27}, t_{27}, a_{27}, b_{27}, e_2, r_{28}, s_{28}, l_{29}, m_{29}, n_{29}, p_{29}, q_{30}, r_{30}, s_{30}, n_{31}
8. Polygon(C, B, n) → Area_B, h_1, l_3, r_{31}, L, P, V, D_1, J_1, P_1, V_1, D_2, J_2, s_3, P_2, V_2, D_3, J_3, P_3, V_3, D_4, J_4, P_4, V_4, e_3, D_5, J_5, P_5, V_5, D_6, J_6, P_6, V_6, D_7, J_7, k_4, P_7, V_7, D_8, J_8, P_8, V_8, D_9, J_9, P_9, V_9, r_4, D_{10}, J_{10}, P_{10}, V_{10}, D_{11}, L_{11}, M_{11}, Z_{11}, A_{12}, J_{12}, d_4, P_{12}, V_{12}, D_{13}, L_{13}, M_{13}, B_{14}, C_{14}, D_{14}, T_{14}, U_{14}, j_5, V_{14}, L_{15}, M_{15}, D_{16}, E_{16}, F_{16}, G_{16}, V_{16}, H_{17}, I_{17}, q_5, J_{17}, V_{17}, F_{18}, G_{18}, T_{18}, U_{18}, V_{18}, J_{19}, T_{19}, U_{19}, c_5, V_{19}, L_{20}, M_{20}, Z_{20}, A_{21}, N_{21}, O_{21}, P_{21}, F_{22}, G_{22}, i_6, V_{22}, W_{22}, Z_{22}, A_{23}, T_{23}, U_{23}, V_{23}, L_{24}, M_{24}, i_1, p_6, b_6, h_7, n_7, a_7, g_8, m_8, t_8, f_9, l_9, j_1, s_9, e_9, k_{10}, r_{10}, d_{10}, j_{11}, q_{11}, c_{11}, i_{12}, p_{12}, n_1, b_{12}, h_{13}, n_{13}, a_{13}, g_{14}, m_{14}, t_{14}, h_{15}, i_{15}, a_{15}, a_1, b_{15}, k_{16}, r_{16}, d_{16}, j_{17}, s_{17}, t_{17}, m_{18}, n_{18}, p_{18}, g_2, l_{19}, m_{19}, n_{19}, i_{20}, j_{20}, f_{21}, g_{21}, h_{21}, i_{21}, e_{21}, m_2, p_{22}, q_{22}, r_{22}, j_{23}, s_{23}, t_{23}, m_{24}, n_{24}, p_{24}, h_{25}, t_2, s_{25}, t_{25}, a_{25}, p_{26}, q_{26}, h_{27}, i_{27}, c_{27}, d_{27}, e_{27}, f_3, t_{28}, a_{28}, q_{29}, r_{29}, s_{29}, t_{29}, t_{30}, a_{30}, b_{30}, q_{31}
9. Polygon(B, A, n) → poly1, f, m_3, t_{31}, D, Q, W, E_1, K_1, Q_1, W_1, E_2, K_2, t_3, Q_2, W_2, E_3, K_3, Q_3, W_3, E_4, K_4, Q_4, W_4, f_4, E_5, K_5, Q_5, W_5, E_6, K_6, Q_6, W_6, E_7, K_7, l_4, Q_7, W_7, E_8, K_8, Q_8, W_8, E_9, K_9, Q_9, W_9, s_4, E_{10}, K_{10}, Q_{10}, W_{10}, E_{11}, N_{11}, O_{11}, B_{12}, C_{12}, K_{12}, e_4, Q_{12}, W_{12}, E_{13}, N_{13}, O_{13}, E_{14}, F_{14}, G_{14}, W_{14}, Z_{14}, k_5, A_{15}, N_{15}, O_{15}, H_{16}, I_{16}, J_{16}, K_{16}, W_{16}, K_{17}, L_{17}, r_5, M_{17}, W_{17}, H_{18}, I_{18}, W_{18}, Z_{18}, A_{19}, K_{19}, W_{19}, Z_{19}, d_5, A_{20}, N_{20}, O_{20}, B_{21}, C_{21}, Q_{21}, R_{21}, S_{21}, H_{22}, I_{22}, j_6, B_{23}, C_{23}, D_{23}, E_{23}, W_{23}, Z_{23}, A_{24}, N_{24}, O_{24}, g, q_6, c_6, i_7, p_7, b_7, h_8, n_8, a_8, g_9, m_9, h, t_9, f_{10}, l_{10}, s_{10}, e_{10}, k_{11}, r_{11}, d_{11}, j_{12}, q_{12}, p_1, c_{12}, i_{13}, p_{13}, b_{13}, h_{14}, n_{14}, a_{14}, j_{15}, k_{15}, c_{15}, b_1, d_{15}, l_{16}, s_{16}, e_{16}, k_{17}, a_{17}, b_{17}, q_{18}, r_{18}, s_{18}, h_2, p_{19}, q_{19}, r_{19}, k_{20}, l_{20}, j_{21}, k_{21}, l_{21}, m_{21}, f_{22}, n_2, s_{22}, t_{22}, a_{22}, k_{23}, a_{23}, b_{23}, q_{24}, r_{24}, s_{24}, i_{25}, a_2, b_{25}, c_{25}, d_{25}, r_{26}, s_{26}, j_{27}, k_{27}, f_{28}, g_{28}, h_{28}, g_3, b_{28}, c_{28}, a_{29}, b_{29}, c_{29}, d_{29}, c_{30}, d_{30}, e_{30}, s_{31}
10. Polygon(C, B, n) → poly2, k, n_3, b_{31}, I, R, Z, F_1, L_1, R_1, Z_1, F_2, L_2, a_3, R_2, Z_2, F_3, L_3, R_3, Z_3, F_4, L_4, R_4, Z_4, g_4, F_5, L_5, R_5, Z_5, F_6, L_6, R_6, Z_6, F_7, L_7, m_4, R_7, Z_7, F_8, L_8, R_8, Z_8, F_9, L_9, R_9, Z_9, t_4, F_{10}, L_{10}, R_{10}, Z_{10}, F_{11}, P_{11}, Q_{11}, D_{12}, E_{12}, L_{12}, f_5, R_{12}, Z_{12}, F_{13}, P_{13}, Q_{13}, H_{14}, I_{14}, J_{14}, B_{15}, C_{15}, l_5, D_{15}, P_{15}, Q_{15}, L_{16}, M_{16}, N_{16}, O_{16}, Z_{16}, N_{17}, O_{17}, s_5, P_{17}, Z_{17}, J_{18}, K_{18}, B_{19}, C_{19}, D_{19}, L_{19}, B_{20}, C_{20}, e_5, D_{20}, P_{20}, Q_{20}, D_{21}, E_{21}, T_{21}, U_{21}, V_{21}, J_{22}, K_{22}, k_6, F_{23}, G_{23}, H_{23}, I_{23}, B_{24}, C_{24}, D_{24}, P_{24}, Q_{24}, l, r_6, d_6, j_7, q_7, c_7, i_8, p_8, b_8, h_9, n_9, m, a_9, g_{10}, m_{10}, t_{10}, f_{11}, l_{11}, s_{11}, e_{11}, k_{12}, r_{12}, q_1, d_{12}, j_{13}, q_{13}, c_{13}, i_{14}, p_{14}, b_{14}, l_{15}, m_{15}, e_{15}, c_1, f_{16}, m_{16}, t_{16}, f_{17}, l_{17}, c_{17}, d_{17}, t_{18}, a_{18}, b_{18}, i_2, s_{19}, t_{19}, a_{19}, m_{20}, n_{20}, n_{21}, p_{21}, q_{21}, r_{21}, g_{22}, p_2, b_{22}, c_{22}, d_{22}, l_{23}, c_{23}, d_{23}, t_{24}, a_{24}, b_{24}, j_{25}, b_2, e_{25}, f_{26}, g_{26}, t_{26}, a_{26}, l_{27}, m_{27}, i_{28}, j_{28}, k_{28}, h_3, d_{28}, e_{28}, e_{29}, f_{30}, g_{30}, h_{30}, f_{31}, g_{31}, h_{31}, a_{31}
11. Polygon(A, C, n) → poly3, q, p_3, d_{31}, M, S, A_1, G_1, M_1, S_1, A_2, G_2, M_2, b_3, S_2, A_3, G_3, M_3, S_3, A_4, G_4, M_4, S_4, A_5, h_4, G_5, M_5, S_5, A_6, G_6, M_6, S_6, A_7, G_7, M_7, n_4, S_7, A_8, G_8, M_8, S_8, A_9, G_9, M_9, S_9, A_{10}, a_4, G_{10}, M_{10}, S_{10}, A_{11}, G_{11}, R_{11}, S_{11}, F_{12}, G_{12}, M_{12}, g_5, S_{12}, A_{13}, G_{13}, R_{13}, S_{13}, K_{14}, L_{14}, M_{14}, E_{15}, F_{15}, m_5, G_{15}, R_{15}, S_{15}, P_{16}, Q_{16}, R_{16}, S_{16}, A_{17}, Q_{17}, R_{17}, t_5, S_{17}, A_{18}, L_{18}, M_{18}, E_{19}, F_{19}, G_{19}, M_{19}, E_{20}, F_{20}, f_6, G_{20}, R_{20}, S_{20}, F_{21}, G_{21}, W_{21}, Z_{21}, A_{22}, L_{22}, M_{22}, l_6, J_{23}, K_{23}, L_{23}, M_{23}, E_{24}, F_{24}, G_{24}, R_{24}, S_{24}, r, s_6, e_6, k_7, r_7, d_7, j_8, q_8, c_8, i_9, p_9, e, b_9, h_{10}, n_{10}, a_{10}, g_{11}, m_{11}, t_{11}, f_{12}, l_{12}, s_{12}, r_1, e_{12}, k_{13}, r_{13}, d_{13}, j_{14}, q_{14}, c_{14}, n_{15}, p_{15}, g_{16}, d_1, h_{16}, n_{16}, a_{16}, g_{17}, m_{17}, e_{17}, f_{18}, c_{18}, d_{18}, e_{18}, j_2, b_{19}, c_{19}, d_{19}, p_{20}, q_{20}, s_{21}, t_{21}, a_{21}, b_{21}, h_{22}, q_2, e_{22}, f_{23}, g_{23}, m_{23}, e_{23}, f_{24}, c_{24}, d_{24}, e_{24}, k_{25}, c_2, h_{26}, i_{26}, j_{26}, b_{26}, c_{26}, n_{27}, p_{27}, l_{28}, m_{28}, n_{28}, i_3, f_{29}, g_{29}, i_{30}, j_{30}, k_{30}, l_{30}, i_{31}, j_{31}, k_{31}, c_{31}