几何拼贴:毕达哥拉斯定理与圆的交点
几何画板及绘图内容加载中,请稍等……
这个范例展示了如何通过几何拼贴来演示毕达哥拉斯定理与圆的交点现象。涉及的核心数学概念包括勾股定理、圆的方程以及几何作图技巧。作图要点包括使用Line、Point、OrthogonalLine、Semicircle等GeoGebra命令来构造菱形、圆和交点。适合初中生学习几何基础,或用于数学教学演示。
GeoGebra 命令及参数
Line(A, B) → aPoint(a) → COrthogonalLine(B, a) → bOrthogonalLine(A, a) → cPoint(b) → DOrthogonalLine(D, b) → dPoint(c) → EOrthogonalLine(E, c) → ePoint(a) → FOrthogonalLine(F, a) → fPoint(b) → GOrthogonalLine(G, b) → gPoint(b) → HOrthogonalLine(H, b) → hPoint(h) → IOrthogonalLine(I, h) → iPoint(b) → JOrthogonalLine(J, b) → jPoint(i) → KOrthogonalLine(K, i) → kPoint(g) → LOrthogonalLine(L, g) → lPoint(g) → MOrthogonalLine(M, g) → mSemicircle(D, G) → pPoint(p) → NSegment(N, G) → nSegment(N, O) → qSegment(P, O) → rIntersect(d, i) → QSegment(Q, N) → sSegment(N, R) → tSegment(R, S) → a_1Intersect(g, i) → TSegment(T, N) → b_1Segment(N, U) → c_1Segment(U, V) → d_1Segment(D, N) → e_1Segment(N, W) → f_1Segment(W, Z) → g_1Segment(B_1, A_1) → h_1Segment(A_1, C_1) → i_1Segment(B_1, V) → j_1Segment(B_1, D_1) → k_1Segment(D_1, E_1) → l_1Segment(B_1, F_1) → m_1Segment(F_1, G_1) → n_1Segment(H_1, P) → p_1Segment(I_1, J_1) → q_1Segment(J_1, K_1) → r_1Segment(K_1, L_1) → s_1Segment(M_1, Z) → t_1Segment(N_1, M_1) → a_2Segment(O_1, I_1) → b_2Segment(P_1, Q_1) → c_2Segment(Q_1, R_1) → d_2Point(i) → S_1Segment(R_1, S_1) → e_2Segment(P_1, T_1) → f_2Segment(U_1, N_1) → g_2Segment(V_1, U_1) → h_2Segment(W_1, Z_1) → i_2Segment(Z_1, A_2) → j_2Segment(A_2, B_2) → k_2Segment(B_2, C_2) → l_2Segment(D_2, E_2) → m_2Segment(E_2, O_1) → n_2Segment(F_2, E_1) → p_2Segment(L_1, G_2) → q_2Segment(G_2, H_2) → r_2Segment(G_1, I_2) → s_2Segment(J_2, K_2) → t_2Segment(K_2, L_2) → a_3Segment(L_2, M_2) → b_3Segment(M_2, N_2) → c_3Segment(H_2, O_2) → d_3Point(i) → P_2Segment(J_2, P_2) → e_3Segment(I_2, Q_2) → f_3Segment(Q_2, R_2) → g_3Point(k) → S_2Segment(R_2, S_2) → h_3Segment(T_2, U_2) → i_3Point(i) → V_2Segment(U_2, V_2) → j_3Segment(T_2, W_2) → k_3Segment(W_2, Z_2) → l_3Segment(Z_2, A_3) → m_3Segment(O_2, B_3) → n_3Segment(B_3, C_3) → p_3Point(k) → D_3Segment(C_3, D_3) → q_3Segment(E_3, N_2) → r_3Segment(F_3, G_3) → s_3Segment(H_3, G_3) → t_3Segment(H_3, I_3) → a_4Point(k) → J_3Segment(I_3, J_3) → b_4Segment(A_3, K_3) → c_4Segment(K_3, L_3) → d_4Point(i) → M_3Segment(W_1, M_3) → e_4Point(e) → N_3Segment(N_3, D_2) → f_4Segment(O_3, P_3) → g_4Segment(Q_3, R_3) → h_4Segment(S_3, R_3) → i_4Segment(O_3, C_2) → j_4Point(e) → T_3Segment(Q_3, T_3) → k_4Segment(P_3, U_3) → l_4Segment(S_3, V_3) → m_4Segment(V_3, W_3) → n_4Segment(W_3, Z_3) → p_4Segment(Z_3, A_4) → q_4Segment(A_4, B_4) → r_4Segment(B_4, F_3) → s_4Segment(F_2, C_4) → t_4Segment(C_4, D_4) → a_5Segment(D_4, E_4) → b_5Segment(H_1, F_4) → c_5Segment(F_4, G_4) → d_5Segment(G_4, H_4) → e_5Segment(T_1, I_4) → f_5Segment(I_4, J_4) → g_5Segment(J_4, K_4) → h_5Segment(L_4, U_3) → i_5Segment(M_4, K_4) → j_5Segment(N_4, H_4) → k_5Segment(O_4, E_4) → l_5Segment(P_4, Q_4) → m_5Segment(E_3, Q_4) → n_5Segment(R_4, L_3) → p_5Segment(S_4, T_4) → q_5Point(k) → U_4Segment(T_4, U_4) → r_5Segment(R_4, V_4) → s_5Segment(W_4, S_4) → t_5Segment(W_4, Z_4) → a_6Segment(Z_4, A_5) → b_6Segment(A_5, B_5) → c_6Segment(B_5, C_5) → d_6Segment(C_5, D_5) → e_6Segment(N_4, E_5) → f_6Segment(F_5, O_4) → g_6Segment(G_5, P_4) → h_6Segment(H_5, D_5) → i_6Segment(I_5, M_4) → j_6Segment(H_5, J_5) → k_6Segment(J_5, K_5) → l_6Point(e) → L_5Segment(L_5, M_5) → m_6Segment(M_5, K_5) → n_6Segment(L_4, N_5) → p_6Segment(N_5, O_5) → q_6Point(m) → P_5Segment(O_5, P_5) → r_6Point(e) → Q_5Segment(Q_5, R_5) → s_6Segment(R_5, S_5) → t_6Segment(S_5, T_5) → a_7Segment(T_5, U_5) → b_7Point(m) → W_5Segment(V_5, W_5) → c_7Segment(V_5, I_5) → d_7Segment(Z_5, E_5) → e_7Point(m) → A_6Segment(A_6, Z_5) → f_7Segment(B_6, U_5) → g_7Segment(B_6, C_6) → h_7Segment(C_6, D_6) → i_7Segment(D_6, E_6) → j_7Segment(F_6, F_5) → k_7Point(m) → G_6Segment(F_6, G_6) → l_7Segment(E_6, H_6) → m_7Segment(H_6, I_6) → n_7Segment(J_6, G_5) → p_7Segment(K_6, I_6) → q_7Point(m) → L_6Segment(J_6, L_6) → r_7Segment(K_6, M_6) → s_7Point(k) → N_6Segment(M_6, N_6) → t_7Segment(O_6, V_4) → a_8Point(m) → P_6Segment(O_6, P_6) → b_8Intersect(c, g) → Q_6Intersect(g, q_4) → R_6Intersect(p_4, d_5) → S_6Intersect(c, c_5) → T_6Polygon(Q_6, R_6, Z_3, S_6, F_4, T_6) → poly1, q_8, r_8, z_3, s_8, f_8, t_8Intersect(g, s_1) → U_6Intersect(p_2, q_2) → V_6Intersect(c, t_4) → W_6Polygon(Q_6, U_6, L_1, V_6, F_2, W_6) → poly2, q_9, u_6, l_8, v_6, f_9, w_6Intersect(r_4, a_5) → Z_6Polygon(Q_6, R_6, A_4, Z_6, C_4, W_6) → poly3, q_{10}, r_9, a_9, z_6, c_8, w_1Intersect(p_1, r_1) → A_7Polygon(K_1, U_6, Q_6, T_6, H_1, A_7) → poly4, k_8, u_1, q_{11}, t_9, h_8, a_{10}Intersect(d, q_1) → B_7Intersect(c, d) → C_7Intersect(c, f_5) → D_7Intersect(b_2, f_2) → E_7Polygon(I_1, B_7, C_7, D_7, T_1, E_7) → poly5, i_8, b_9, c_9, d_8, t_{10}, e_8Intersect(a, n_2) → F_7Intersect(a, c) → G_7Intersect(k_2, m_2) → H_7Polygon(E_2, F_7, G_7, C_2, B_2, H_7) → poly6, e_9, f_{10}, g_8, c_{10}, b_{10}, h_9Intersect(h, r_2) → I_7Intersect(c, h) → J_7Polygon(G_2, I_7, J_7, W_6, F_2, V_6) → poly7, g_9, i_9, j_8, w_2, f_{11}, v_1Intersect(j, n_3) → K_7Intersect(c, j) → L_7Intersect(c, c_3) → M_7Intersect(b_3, d_3) → N_7Polygon(O_2, K_7, L_7, M_7, M_2, N_7) → poly8, o_2, k_9, l_9, m_8, m_9, n_8Intersect(k, q_3) → O_7Intersect(c, k) → P_7Intersect(c, m_3) → Q_7Intersect(l_3, p_3) → R_7Polygon(C_3, O_7, P_7, Q_7, Z_2, R_7) → poly9, c_{11}, o_7, p_8, q_{12}, z_2, r_{10}Intersect(a, i_4) → S_7Intersect(g_4, h_4) → T_7Polygon(G_7, S_7, R_3, T_7, O_3, C_2) → poly10, g_{10}, s_9, r_{11}, t_{11}, o_3, c_{12}Intersect(d, n_4) → U_7Intersect(m_4, g_5) → V_7Polygon(U_7, V_3, V_7, I_4, D_7, C_7) → poly11, u_7, v_3, v_7, i_{10}, d_9, c_{13}Intersect(h, s_4) → W_7Polygon(Z_6, C_4, W_6, J_7, W_7, B_4) → poly12, z_1, c_{14}, w_3, j_9, w_7, b_{11}Intersect(r_3, s_3) → Z_7Intersect(j, t_3) → A_8Polygon(Z_7, N_2, M_7, L_7, A_8, G_3) → poly13, z_7, n_9, m_{10}, l_{10}, a_{11}, g_{11}Intersect(a_4, c_4) → B_8Polygon(B_8, A_3, Q_7, P_7, J_3, I_3) → poly14, b_{12}, a_{12}, q_{13}, p_9, j_{10}, i_{11}Polygon(V_7, S_3, S_7, G_7, D_7, I_4) → poly15, v_2, s_{10}, s_{11}, g_{12}, d_{10}, i_{12}Polygon(C_7, U_7, W_3, S_6, F_4, T_6) → poly16, c_{15}, u_2, w_4, s_{12}, f_{12}, t_{12}Polygon(T_7, Q_3, T_3, E, C_2, O_3) → poly17, t_{13}, q_{14}, t_{14}, e_{10}, c_{16}, o_1Polygon(M_7, N_2, Z_7, F_3, W_7, J_7) → poly18, m_{11}, n_{10}, z_4, f_{13}, w_5, j_{11}Polygon(B_8, H_3, A_8, L_7, Q_7, A_3) → poly19, b_{13}, h_{10}, a_{13}, l_{11}, q_{15}, a_{14}Polygon(N_3, E, C_2, B_2, H_7, D_2) → poly20, n_{11}, e_{11}, c_{17}, b_{14}, h_{11}, d_{11}Polygon(F_7, G_7, D_7, T_1, E_7, O_1) → poly21, f_{14}, g_{13}, d_{12}, t_{15}, e_{12}, o_4Polygon(B_7, C_7, T_6, H_1, A_7, J_1) → poly22, b_{15}, c_{18}, t_{16}, h_{12}, a_{15}, j_{12}Polygon(I_7, J_7, M_7, M_2, N_7, H_2) → poly23, i_{13}, j_{13}, m_{12}, m_{13}, n_{12}, h_{13}Polygon(K_7, L_7, Q_7, Z_2, R_7, B_3) → poly24, k_{10}, l_{12}, q_{16}, z_5, r_{12}, b_{16}Intersect(e, f) → C_8Intersect(f, l_4) → D_8Polygon(T_3, C_8, D_8, P_3, T_7, Q_3) → poly25, t_{17}, c_{19}, d_{13}, p_{10}, t_{18}, q_{17}Intersect(f, h_5) → E_8Polygon(S_7, F, E_8, J_4, V_7, S_3) → poly26, s_{13}, f_{15}, e_{13}, j_{14}, v_4, s_{14}Intersect(d, f) → F_8Intersect(f, e_5) → G_8Polygon(U_7, F_8, G_8, G_4, S_6, W_3) → poly27, u_3, f_{16}, g_{14}, g_{15}, s_{15}, w_8Intersect(f, g) → H_8Intersect(f, b_5) → I_8Polygon(R_6, H_8, I_8, D_4, Z_6, A_4) → poly28, r_{13}, h_{14}, i_{14}, d_{14}, z_8, a_{16}Intersect(f, h) → J_8Intersect(f, n_5) → K_8Polygon(W_7, J_8, K_8, E_3, Z_7, F_3) → poly29, w_9, j_{15}, k_{11}, e_{14}, z_9, f_{17}Intersect(f, j) → L_8Intersect(f, d_4) → M_8Polygon(A_8, L_8, M_8, K_3, B_8, H_3) → poly30, a_{17}, l_{13}, m_{14}, k_{12}, b_{17}, h_{15}Intersect(i_5, n_6) → N_8Polygon(D_8, C_8, L_5, M_5, N_8, U_3) → poly31, d_{15}, c_{20}, l_{14}, m_{15}, n_{13}, u_4Intersect(a, l_6) → O_8Intersect(j_5, k_6) → P_8Polygon(E_8, F, O_8, J_5, P_8, K_4) → poly32, e_{15}, f_{18}, o_8, j_{16}, p_{11}, k_{13}Intersect(d, i_6) → Q_8Intersect(k_5, e_6) → R_8Polygon(G_8, F_8, Q_8, D_5, R_8, H_4) → poly33, g_{16}, f_{19}, q_{18}, d_{16}, r_{14}, h_{16}Intersect(l_5, c_6) → S_8Intersect(g, d_6) → T_8Polygon(S_8, B_5, T_8, H_8, I_8, E_4) → poly34, s_{16}, b_{18}, t_{19}, h_{17}, i_{15}, e_{16}Intersect(h, b_6) → U_8Intersect(m_5, a_6) → V_8Polygon(K_8, J_8, U_8, Z_4, V_8, Q_4) → poly35, k_{14}, j_{17}, u_8, z_{10}, v_8, q_{19}Intersect(j, t_5) → W_8Intersect(p_5, q_5) → Z_8Polygon(M_8, L_8, W_8, S_4, Z_8, L_3) → poly36, m_{16}, l_{15}, w_{10}, s_{17}, z_{11}, l_{16}Polygon(T_7, P_3, D_8, F, S_7, R_3) → poly37, t_{20}, p_{12}, d_{17}, f_{20}, s_{18}, r_{15}Polygon(V_3, V_7, J_4, E_8, F_8, U_7) → poly38, v_5, v_9, j_{18}, e_{17}, f_{21}, u_5Polygon(Z_3, S_6, G_4, G_8, H_8, R_6) → poly39, z_{12}, s_{19}, g_{17}, g_{18}, h_{18}, r_{16}Polygon(Z_6, D_4, I_8, J_8, W_7, B_4) → poly40, z_{13}, d_{18}, i_{16}, j_{19}, w_{11}, b_{19}Polygon(Z_7, E_3, K_8, L_8, A_8, G_3) → poly41, z_{14}, e_{18}, k_{15}, l_{17}, a_{18}, g_{19}Intersect(f, k) → A_9Polygon(I_3, B_8, K_3, M_8, A_9, J_3) → poly42, i_{17}, b_{20}, k_{16}, m_{17}, a_{19}, j_{20}Polygon(F, D_8, U_3, N_8, K_5, O_8) → poly43, f_{22}, d_{19}, u_9, n_{14}, k_{17}, o_5Polygon(F_8, E_8, K_4, P_8, H_5, Q_8) → poly44, f_{23}, e_{19}, k_{18}, p_{13}, h_{19}, q_{20}Polygon(H_8, G_8, H_4, R_8, C_5, T_8) → poly45, h_{20}, g_{20}, h_{21}, r_{17}, c_{21}, t_{21}Polygon(E_4, S_8, A_5, U_8, J_8, I_8) → poly46, e_{20}, s_{20}, a_{20}, u_{10}, j_{21}, i_{18}Polygon(W_8, L_8, K_8, Q_4, V_8, W_4) → poly47, w_{12}, l_{18}, k_{19}, q_{21}, v_{10}, w_{13}Polygon(U_4, A_9, M_8, L_3, Z_8, T_4) → poly48, u_{11}, a_{21}, m_{18}, l_{19}, z_{15}, t_{22}Intersect(a, l) → B_9Intersect(l, p_6) → C_9Polygon(K_5, O_8, B_9, C_9, L_4, N_8) → poly49, k_{20}, o_6, b_{21}, c_{22}, l_{20}, n_{15}Intersect(d, l) → D_9Intersect(l, j_6) → E_9Polygon(H_5, Q_8, D_9, E_9, M_4, P_8) → poly50, h_{22}, q_{22}, d_{20}, e_{21}, m_{19}, p_{14}Intersect(l, f_6) → F_9Polygon(R_8, C_5, T_8, L, F_9, N_4) → poly51, r_{18}, c_{23}, t_{23}, l_{21}, f_{24}, n_{16}Intersect(h, l) → G_9Intersect(l, g_6) → H_9Polygon(A_5, U_8, G_9, H_9, O_4, S_8) → poly52, a_{22}, u_{12}, g_{21}, h_{23}, o_9, s_{21}Intersect(j, l) → I_9Intersect(l, h_6) → J_9Polygon(W_4, W_8, I_9, J_9, P_4, V_8) → poly53, w_{14}, w_{15}, i_{19}, j_{22}, p_{15}, v_{11}Intersect(k, l) → K_9Intersect(l, s_5) → L_9Polygon(Z_8, T_4, U_4, K_9, L_9, R_4) → poly54, z_{16}, t_{24}, u_{13}, k_{21}, l_{22}, r_{19}Intersect(e, l) → M_9Polygon(N_8, L_4, C_9, M_9, L_5, M_5) → poly55, n_{17}, l_{23}, c_{24}, m_{20}, l_{24}, m_{21}Polygon(O_8, J_5, P_8, M_4, E_9, B_9) → poly56, o_{10}, j_{23}, p_{16}, m_{22}, e_{22}, b_{22}Polygon(Q_8, D_5, R_8, N_4, F_9, D_9) → poly57, q_{23}, d_{21}, r_{20}, n_{18}, f_{25}, d_{22}Polygon(T_8, B_5, S_8, O_4, H_9, L) → poly58, t_{25}, b_{23}, s_{22}, o_{11}, h_{24}, l_{25}Polygon(U_8, G_9, J_9, P_4, V_8, Z_4) → poly59, u_{14}, g_{22}, j_{24}, p_{17}, v_{12}, z_{17}Polygon(W_8, I_9, L_9, R_4, Z_8, S_4) → poly60, w_{16}, i_{20}, l_{26}, r_{21}, z_{18}, s_{23}Intersect(q_6, t_6) → N_9Intersect(a, a_7) → O_9Polygon(B_9, C_9, N_5, N_9, S_5, O_9) → poly61, b_{24}, c_{25}, n_{19}, n_{20}, s_{24}, o_{12}Intersect(b_7, d_7) → P_9Polygon(E_9, B_9, O_9, T_5, P_9, I_5) → poly62, e_{23}, b_{25}, o_{13}, t_{26}, p_{18}, i_{21}Intersect(d, g_7) → Q_9Intersect(e_7, h_7) → R_9Polygon(F_9, D_9, Q_9, B_6, R_9, E_5) → poly63, f_{26}, d_{23}, q_{24}, b_{26}, r_{22}, e_{24}Intersect(g, i_7) → S_9Intersect(j_7, k_7) → T_9Polygon(H_9, L, S_9, D_6, T_9, F_5) → poly64, h_{25}, l_{27}, s_{25}, d_{24}, t_{27}, f_{27}Intersect(h, m_7) → U_9Intersect(n_7, p_7) → V_9Polygon(J_9, G_9, U_9, H_6, V_9, G_5) → poly65, j_{25}, g_{23}, u_{15}, h_{26}, v_{13}, g_{24}Intersect(j, q_7) → W_9Intersect(s_7, a_8) → Z_9Polygon(L_9, I_9, W_9, K_6, Z_9, V_4) → poly66, l_{28}, i_{22}, w_{17}, k_{22}, z_{19}, v_{14}Polygon(Q_9, D_9, E_9, I_5, P_9, U_5) → poly67, q_{25}, d_{25}, e_{25}, i_{23}, p_{19}, u_{16}Polygon(E_5, R_9, C_6, S_9, L, F_9) → poly68, e_{26}, r_{23}, c_{26}, s_{26}, l_{29}, f_{28}Polygon(F_5, T_9, E_6, U_9, G_9, H_9) → poly69, f_{29}, t_{28}, e_{27}, u_{17}, g_{25}, h_{27}Polygon(G_5, V_9, I_6, W_9, I_9, J_9) → poly70, g_{26}, v_{15}, i_{24}, w_{18}, i_{25}, j_{26}Polygon(V_4, Z_9, M_6, N_6, K_9, L_9) → poly71, v_{16}, z_{20}, m_{23}, n_{21}, k_{23}, l_{30}Polygon(C_9, M_9, Q_5, R_5, N_9, N_5) → poly72, c_{27}, m_{24}, q_{26}, r_{24}, n_{22}, n_{23}Intersect(e, m) → A_{10}Polygon(Q_5, A_{10}, P_5, O_5, N_9, R_5) → poly73, q_{27}, a_{23}, p_{20}, o_{14}, n_{24}, r_{25}Intersect(a, m) → B_{10}Polygon(O_9, B_{10}, W_5, V_5, P_9, T_5) → poly74, o_{15}, b_{27}, w_{19}, v_{17}, p_{21}, t_{29}Intersect(d, m) → C_{10}Polygon(Q_9, C_{10}, A_6, Z_5, R_9, B_6) → poly75, q_{28}, c_{28}, a_{24}, z_{21}, r_{26}, b_{28}Polygon(S_9, M, G_6, F_6, T_9, D_6) → poly76, s_{27}, m_{25}, g_{27}, f_{30}, t_{30}, d_{26}Intersect(h, m) → D_{10}Polygon(U_9, D_{10}, L_6, J_6, V_9, H_6) → poly77, u_{18}, d_{27}, l_{31}, j_{27}, v_{18}, h_{28}Intersect(j, m) → E_{10}Polygon(W_9, E_{10}, P_6, O_6, Z_9, K_6) → poly78, w_{20}, e_{28}, p_{22}, o_{16}, z_{22}, k_{24}Polygon(S_5, N_9, O_5, P_5, B_{10}, O_9) → poly79, s_{28}, n_{25}, o_{17}, p_{23}, b_{29}, o_{18}Polygon(P_9, U_5, Q_9, C_{10}, W_5, V_5) → poly80, p_{24}, u_{19}, q_{29}, c_{29}, w_{21}, v_{19}Polygon(R_9, C_6, S_9, M, A_6, Z_5) → poly81, r_{27}, c_{30}, s_{29}, m_{26}, a_{25}, z_{23}Polygon(T_9, F_6, G_6, D_{10}, U_9, E_6) → poly82, t_{31}, f_{31}, g_{28}, d_{28}, u_{20}, e_{29}Polygon(V_9, J_6, L_6, E_{10}, W_9, I_6) → poly83, v_{20}, j_{28}, l_{32}, e_{30}, w_{22}, i_{26}Intersect(k, m) → G_{10}Polygon(Z_9, O_6, P_6, G_{10}, N_6, M_6) → poly84, z_{24}, o_{19}, p_{25}, g_{29}, n_{26}, m_{27}Intersect(b, j_2) → H_{10}Intersect(a, a_2) → I_{10}Intersect(g_2, i_2) → J_{10}Polygon(H_{10}, B, I_{10}, N_1, J_{10}, Z_1) → poly85, h_{29}, b_{30}, i_{27}, n_{27}, j_{29}, z_{25}Intersect(d, g_1) → K_{10}Intersect(b, c_2) → L_{10}Intersect(t_1, d_2) → M_{10}Polygon(Z, K_{10}, D, L_{10}, Q_1, M_{10}) → poly86, z, k_{25}, d_{29}, l_{33}, q_{30}, m_{28}Intersect(b, r) → N_{10}Intersect(g, d_1) → O_{10}Polygon(N, O, N_{10}, G, O_{10}, U) → poly87, n_{28}, o, n_{29}, g_{30}, o_{20}, uIntersect(h, n_1) → P_{10}Intersect(b, l_1) → Q_{10}Polygon(F_1, P_{10}, H, Q_{10}, D_1, B_1) → poly88, f_{32}, p_{26}, h_{30}, q_{31}, d_{30}, b_{31}Intersect(s_2, t_2) → R_{10}Intersect(b, a_3) → S_{10}Intersect(j, f_3) → T_{10}Polygon(R_{10}, K_2, S_{10}, J, T_{10}, I_2) → poly89, r_{28}, k_{26}, s_{30}, j_{30}, t_{32}, i_{28}Intersect(g_3, i_3) → U_{10}Intersect(b, k_3) → V_{10}Intersect(b, k) → W_{10}Polygon(U_{10}, T_2, V_{10}, W_{10}, S_2, R_2) → poly90, u_{21}, t_{33}, v_{21}, w_{23}, s_{31}, r_{29}Intersect(b, e) → Z_{10}Polygon(V_1, Z_{10}, H_{10}, Z_1, J_{10}, U_1) → poly91, v_{22}, z_{26}, h_{31}, z_{27}, j_{31}, u_{22}Polygon(I_{10}, B, L_{10}, Q_1, M_{10}, M_1) → poly92, i_{29}, b_{32}, l_{34}, q_{32}, m_{29}, m_{30}Polygon(K_{10}, D, N_{10}, O, N, W) → poly93, k_{27}, d_{31}, n_{30}, o_{21}, n_{31}, wPolygon(O_{10}, G, Q_{10}, D_1, B_1, V) → poly94, o_{22}, g_{31}, q_{33}, d_{32}, b_{33}, vPolygon(P_{10}, H, S_{10}, K_2, R_{10}, G_1) → poly95, p_{27}, h_{32}, s_{32}, k_{28}, r_{30}, g_{32}Polygon(T_{10}, J, V_{10}, T_2, U_{10}, Q_2) → poly96, t_{34}, j_{32}, v_{23}, t_{35}, u_{23}, q_{34}Polygon(B, H_{10}, A_2, H_7, E_2, F_7) → poly97, b_{34}, h_{33}, a_{26}, h_{34}, e_{31}, f_{33}Polygon(B_7, D, L_{10}, P_1, E_7, I_1) → poly98, b_{35}, d_{33}, l_{35}, p_{28}, e_{32}, i_{30}Polygon(U_6, G, N_{10}, P, A_7, K_1) → poly99, u_{24}, g_{33}, n_{32}, p_{29}, a_{27}, k_{29}Polygon(I_7, H, Q_{10}, E_1, V_6, G_2) → poly100, i_{31}, h_{35}, q_{35}, e_{33}, v_{24}, g_{34}Polygon(K_7, J, S_{10}, L_2, N_7, O_2) → poly101, k_{30}, j_{33}, s_{33}, l_{36}, n_{33}, o_{23}Polygon(O_7, W_{10}, V_{10}, W_2, R_7, C_3) → poly102, o_{24}, w_{24}, v_{25}, w_{25}, r_{31}, c_{31}Polygon(Z_{10}, N_3, D_2, H_7, A_2, H_{10}) → poly103, z_{28}, n_{34}, d_{34}, h_{36}, a_{28}, h_{37}Polygon(E_7, O_1, F_7, B, L_{10}, P_1) → poly104, e_{34}, o_{25}, f_{34}, b_{36}, l_{37}, p_{30}Polygon(D, B_7, J_1, A_7, P, N_{10}) → poly105, d_{35}, b_{37}, j_{34}, a_{29}, p_{31}, n_{35}Polygon(G, U_6, L_1, V_6, E_1, Q_{10}) → poly106, g_{35}, u_{25}, l_{38}, v_{26}, e_{35}, q_{36}Polygon(S_{10}, H, I_7, H_2, N_7, L_2) → poly107, s_{34}, h_{38}, i_{32}, h_{39}, n_{36}, l_{39}Polygon(V_{10}, J, K_7, B_3, R_7, W_2) → poly108, v_{27}, j_{35}, k_{31}, b_{38}, r_{32}, w_{26}Intersect(e, i) → A_{11}Polygon(M_3, A_{11}, V_1, U_1, J_{10}, W_1) → poly109, m_{31}, a_{30}, v_{28}, u_{26}, j_{36}, w_{27}Intersect(a, i) → B_{11}Polygon(B_{11}, M_3, W_1, J_{10}, N_1, I_{10}) → poly110, b_{39}, m_{32}, w_{28}, j_{37}, n_{37}, i_{33}Polygon(K_{10}, Q, S_1, R_1, M_{10}, Z) → poly111, k_{32}, q_{37}, s_{35}, r_{33}, m_{33}, z_{29}Polygon(O_{10}, T, S, R, N, U) → poly112, o_{26}, t_{36}, s_{36}, r_{34}, n_{38}, u_{27}Polygon(I, C_1, A_1, B_1, F_1, P_{10}) → poly113, i_{34}, c_{32}, a_{31}, b_{40}, f_{35}, p_{32}Intersect(i, j) → C_{11}Polygon(C_{11}, P_2, J_2, R_{10}, I_2, T_{10}) → poly114, c_{33}, p_{33}, j_{38}, r_{35}, i_{35}, t_{37}Polygon(R_2, S_2, K, V_2, U_2, U_{10}) → poly115, r_{36}, s_{37}, k_{33}, v_{29}, u_{28}, u_{29}Polygon(S_1, B_{11}, I_{10}, M_1, M_{10}, R_1) → poly116, s_{38}, b_{41}, i_{36}, m_{34}, m_{35}, r_{37}Polygon(S, Q, K_{10}, W, N, R) → poly117, s_{39}, q_{38}, k_{34}, w_{29}, n_{39}, r_{38}Polygon(C_1, T, O_{10}, V, B_1, A_1) → poly118, c_{34}, t_{38}, o_{27}, v_{30}, b_{42}, a_{32}Polygon(I, P_{10}, G_1, R_{10}, J_2, P_2) → poly119, i_{37}, p_{34}, g_{36}, r_{39}, j_{39}, p_{35}Polygon(C_{11}, T_{10}, Q_2, U_{10}, U_2, V_2) → poly120, c_{35}, t_{39}, q_{39}, u_{30}, u_{31}, v_{31}
AI 绘图提示语参考
请绘制一个几何镶嵌图形,展示勾股定理和圆的相交。图形包含菱形、圆、交点以及连接这些点的线段。构造顺序是:先画基础线段和点,然后通过正交线构造菱形,接着画半圆,最后通过交点连接线段形成整体结构。
以上提示语为根据原始绘图命令整理而来,仅供参考。