Venn图 - 互动
几何画板及绘图内容加载中,请稍等……
该范例演示了互动Venn图,涉及集合论的核心概念。通过使用Polygon, Intersect, Circle, Point等GeoGebra命令,可以构建两个或三个集合的交集、并集和补集。适合初中及以上学生学习集合的基本运算。
GeoGebra 命令及参数
Polygon(A, B, C, D) → q1, a, b, c, dIntersect(a, d) → EIntersect(a, b) → FIntersect(b, c) → GIntersect(c, d) → HPolygon(E, F, G, H) → q2, e, f, g, hCircle(I, 2) → kCircle(J, 2) → pCircle(K, 1.97) → qCircle(L, 1.97) → rCircle(M, 1.97) → sCircle(N, 1.97) → tIntersect(k, p, 2) → OPoint(p) → PPoint(p) → QPoint(p) → RPoint(p) → SPoint(p) → TPoint(p) → UPoint(p) → VPoint(p) → WIntersect(k, p, 1) → ZPoint(k) → A_1Point(k) → B_1Point(k) → C_1Point(k) → D_1Point(k) → E_1Point(k) → F_1Point(k) → G_1Point(k) → H_1Point(k) → I_1Point(k) → J_1Point(k) → K_1Point(k) → L_1Point(k) → M_1Point(k) → N_1Point(k) → O_1Point(k) → P_1Point(k) → Q_1Point(k) → R_1Point(k) → S_1Point(k) → T_1Point(k) → U_1Point(k) → V_1Point(k) → W_1Point(k) → Z_1Point(k) → A_2Point(k) → B_2Point(k) → C_2Point(k) → D_2Point(k) → E_2Polygon(O, P, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, Q, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, R, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, S, T, U, V, W, Z) → poly1, o, z_1, a_1, b_1, c_1, d_1, e_1, f_1, g_1, h_1, i_1, p_1, j_1, k_1, l_1, m_1, n_1, o_1, f_2, g_2, h_2, i_2, q_1, j_2, u_1, v_1, w_1, k_2, a_2, b_2, c_2, d_2, e_2, r_1, s_1, t_1, u, v, wIntersect(k, p, 2) → F_2Point(p) → G_2Point(p) → H_2Point(p) → I_2Point(p) → J_2Point(p) → K_2Point(p) → L_2Point(p) → M_2Point(p) → N_2Point(p) → O_2Point(p) → P_2Point(p) → Q_2Point(p) → R_2Point(p) → S_2Point(p) → T_2Point(p) → U_2Point(p) → V_2Point(p) → W_2Point(p) → Z_2Point(p) → A_3Point(p) → B_3Point(p) → C_3Point(p) → D_3Point(p) → E_3Point(p) → F_3Intersect(k, p, 1) → G_3Point(k) → H_3Point(k) → I_3Point(k) → J_3Point(k) → K_3Point(k) → L_3Point(k) → M_3Point(k) → N_3Point(k) → O_3Point(k) → P_3Point(k) → Q_3Polygon(F_2, G_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, Z_2, A_3, H_2, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, I_2, L_3, M_3, N_3, O_3, P_3, Q_3, J_2, K_2, L_2, M_2, N_2, O_2) → poly2, m_2, o_2, h_3, i_3, j_3, k_3, l_3, u_2, v_2, w_2, z_2, n_2, a_3, b_3, c_3, d_3, e_3, m_3, n_3, p_3, q_3, r_3, p_2, s_3, t_3, f_4, g_4, o_3, h_4, i_4, q_2, r_2, s_2, t_2, f_3, g_3Polygon(O, Q_3, H_3, Z, W, V, U, T, S, R, Q, P, P_3, O_3, N_3, M_3, L_3, K_3, J_3, I_3) → poly3, o_4, s_4, t_4, z_3, w_3, v_3, u_4, t_5, s_5, r_5, q_5, j_4, p_5, k_4, l_4, m_4, n_4, p_4, q_4, r_4Polygon(O, Q_3, H_3, Z, W, V, U, T, S, R, Q, P, P_3, O_3, N_3, M_3, L_3, K_3, J_3, I_3) → poly4, o_5, j_5, k_5, z_4, w_4, v_4, u_5, t_6, s_6, r_6, q_6, b_4, p_6, c_4, d_4, e_4, f_5, g_5, h_5, i_5Circle(R_3, 2) → c_5Circle(S_3, 1.97) → d_5Intersect(k, c_5, 2) → T_3Point(c_5) → U_3Point(c_5) → V_3Point(c_5) → W_3Point(c_5) → Z_3Intersect(k, c_5, 1) → A_4Point(k) → B_4Point(k) → C_4Point(k) → D_4Point(k) → E_4Point(k) → F_4Point(k) → G_4Point(k) → H_4Point(k) → I_4Point(k) → J_4Point(k) → K_4Point(k) → L_4Point(k) → M_4Point(k) → N_4Point(k) → O_4Point(k) → P_4Polygon(T_3, U_3, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4, O_4, V_3, P_4, W_3, Z_3, A_4, B_4, C_4, D_4, E_4) → poly5, l_5, k_6, l_6, m_6, n_6, a_6, b_6, c_6, d_6, e_6, f_7, m_5, g_7, h_7, n_5, e_5, f_6, g_6, h_6, i_6, j_6Intersect(k, c_5, 2) → Q_4Point(k) → R_4Point(k) → S_4Point(k) → T_4Point(k) → U_4Point(k) → V_4Point(k) → W_4Intersect(k, c_5, 1) → Z_4Point(c_5) → A_5Point(c_5) → B_5Point(c_5) → C_5Point(c_5) → D_5Point(c_5) → E_5Point(c_5) → F_5Point(c_5) → G_5Point(c_5) → H_5Point(c_5) → I_5Point(c_5) → J_5Point(c_5) → K_5Point(c_5) → L_5Point(c_5) → M_5Point(c_5) → N_5Point(c_5) → O_5Point(c_5) → P_5Point(c_5) → Q_5Polygon(Q_4, R_4, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_5, S_4, M_5, N_5, O_5, P_5, Q_5, T_4, U_4, V_4, W_4, Z_4, A_5, B_5) → poly6, i_7, s_7, t_7, a_7, b_7, c_7, d_7, e_7, f_8, g_8, h_8, j_7, i_8, j_8, k_8, l_8, m_8, n_8, k_7, l_7, m_7, n_7, p_7, q_7, r_7Intersect(p, c_5, 2) → R_5Point(p) → S_5Point(p) → T_5Point(p) → U_5Point(p) → V_5Point(p) → W_5Point(p) → Z_5Point(p) → A_6Point(p) → B_6Point(p) → C_6Intersect(p, c_5, 1) → D_6Point(c_5) → E_6Point(c_5) → G_6Point(c_5) → H_6Point(c_5) → I_6Point(c_5) → J_6Point(c_5) → K_6Point(c_5) → L_6Point(c_5) → M_6Point(c_5) → N_6Point(c_5) → O_6Point(c_5) → P_6Point(c_5) → Q_6Point(c_5) → R_6Point(c_5) → S_6Point(c_5) → T_6Point(c_5) → U_6Point(c_5) → V_6Point(c_5) → W_6Point(c_5) → Z_6Point(c_5) → A_7Point(c_5) → B_7Polygon(R_5, S_5, D_6, E_6, F_6, G_6, H_6, I_6, J_6, K_6, L_6, M_6, T_5, N_6, O_6, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, U_5, Z_6, A_7, B_7, V_5, W_5, Z_5, A_6, B_6, C_6) → poly7, p_8, d_8, e_8, f_9, g_9, h_9, i_9, j_9, k_9, l_9, m_9, q_8, n_9, p_9, o_6, q_9, r_9, s_9, t_9, a_9, u_6, v_6, r_8, w_6, z_6, b_9, c_9, s_8, t_8, a_8, z_5, b_8, c_8Intersect(p, c_5, 2) → C_7Point(c_5) → D_7Point(c_5) → E_7Point(c_5) → F_7Point(c_5) → G_7Point(c_5) → H_7Point(c_5) → I_7Intersect(p, c_5, 1) → J_7Point(p) → K_7Point(p) → L_7Point(p) → M_7Point(p) → N_7Point(p) → O_7Point(p) → P_7Point(p) → Q_7Point(p) → R_7Point(p) → S_7Point(p) → T_7Point(p) → U_7Point(p) → V_7Point(p) → W_7Point(p) → Z_7Point(p) → A_8Intersect(k, p, 1) → B_8Point(p) → C_8Point(p) → D_8Point(p) → E_8Polygon(C_7, D_7, M_7, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, E_7, W_7, Z_7, A_8, B_8, C_8, D_8, E_8, F_7, G_7, H_7, I_7, J_7, K_7, L_7) → poly8, d_9, m_{10}, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}, t_{10}, a_{10}, b_{10}, u_7, e_9, v_7, w_7, z_7, c_{10}, d_{10}, e_{10}, f_{11}, g_{11}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}, l_{10}Intersect(p, c_5, 2) → F_8Point(p) → G_8Point(p) → H_8Point(p) → I_8Intersect(k, p, 1) → J_8Point(k) → K_8Point(k) → L_8Point(k) → M_8Point(k) → N_8Point(k) → O_8Point(k) → P_8Point(k) → Q_8Point(k) → R_8Point(k) → S_8Point(k) → T_8Point(k) → U_8Point(k) → V_8Point(k) → W_8Point(k) → Z_8Point(k) → A_9Intersect(k, c_5, 2) → B_9Point(c_5) → C_9Point(c_5) → D_9Point(c_5) → E_9Point(c_5) → F_9Polygon(F_8, G_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, W_8, Z_8, A_9, H_8, B_9, C_9, D_9, E_9, F_9, I_8, J_8, K_8, L_8, M_8, N_8, O_8) → poly9, h_{11}, r_{11}, s_{11}, t_{11}, a_{11}, b_{11}, c_{11}, u_8, v_8, w_8, z_8, i_{11}, d_{11}, e_{11}, f_{12}, g_{12}, h_{12}, i_{12}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}, p_{11}, q_{11}Intersect(p, c_5, 1) → G_9Point(c_5) → H_9Point(c_5) → I_9Point(c_5) → J_9Point(c_5) → K_9Intersect(k, c_5, 1) → L_9Point(k) → M_9Point(k) → N_9Point(k) → O_9Intersect(k, p, 1) → P_9Point(p) → Q_9Point(p) → R_9Point(p) → S_9Point(p) → T_9Point(p) → U_9Point(p) → V_9Point(p) → W_9Point(p) → Z_9Point(p) → A_{10}Point(p) → B_{10}Point(p) → C_{10}Point(p) → D_{10}Polygon(G_9, H_9, Q_9, R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}, I_9, C_{10}, D_{10}, J_9, K_9, L_9, M_9, N_9, O_9, P_9) → poly10, j_{12}, t_{12}, a_{12}, b_{12}, c_{12}, d_{12}, u_9, v_9, w_9, z_9, e_{12}, k_{12}, f_{13}, g_{13}, h_{13}, l_{12}, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}Intersect(p, c_5, 1) → E_{10}Point(p) → F_{10}Point(p) → G_{10}Point(p) → H_{10}Point(p) → I_{10}Point(p) → J_{10}Intersect(k, p, 2) → K_{10}Point(k) → L_{10}Point(k) → M_{10}Point(k) → N_{10}Point(k) → O_{10}Point(k) → P_{10}Intersect(k, c_5, 2) → Q_{10}Point(c_5) → R_{10}Point(c_5) → S_{10}Point(c_5) → T_{10}Point(c_5) → U_{10}Point(c_5) → W_{10}Point(c_5) → Z_{10}Point(c_5) → A_{11}Point(c_5) → B_{11}Point(c_5) → C_{11}Point(c_5) → D_{11}Point(c_5) → E_{11}Point(c_5) → F_{11}Point(c_5) → G_{11}Point(c_5) → H_{11}Point(c_5) → I_{11}Point(c_5) → J_{11}Point(c_5) → K_{11}Polygon(E_{10}, F_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, Z_{10}, G_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, H_{10}, K_{11}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, N_{10}) → poly11, i_{13}, s_{13}, t_{13}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, u_{10}, v_{10}, w_{10}, j_{13}, z_{10}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, k_{13}, p_{14}, q_{14}, l_{13}, m_{13}, n_{13}, p_{13}, q_{13}, r_{13}Intersect(k, c_5, 2) → L_{11}Point(c_5) → M_{11}Point(c_5) → N_{11}Point(c_5) → O_{11}Point(c_5) → P_{11}Intersect(k, c_5, 1) → Q_{11}Point(k) → R_{11}Intersect(k, p, 2) → S_{11}Point(k) → T_{11}Point(k) → U_{11}Point(k) → V_{11}Point(k) → W_{11}Polygon(L_{11}, M_{11}, V_{11}, W_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}) → poly12, r_{14}, u_{11}, v_{11}, w_{11}, s_{14}, t_{14}, a_{14}, b_{14}, c_{14}, d_{14}, e_{14}, f_{15}Intersect(p, c_5, 2) → Z_{11}Point(p) → A_{12}Point(p) → B_{12}Point(p) → C_{12}Point(p) → D_{12}Point(p) → E_{12}Point(p) → F_{12}Intersect(p, c_5, 1) → G_{12}Point(c_5) → H_{12}Point(c_5) → I_{12}Point(c_5) → J_{12}Point(c_5) → K_{12}Point(c_5) → L_{12}Point(c_5) → M_{12}Point(c_5) → N_{12}Polygon(Z_{11}, A_{12}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}) → poly13, z_{11}, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, a_{15}, g_{15}, h_{15}, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}, n_{15}Intersect(p, c_5, 2) → O_{12}Point(c_5) → P_{12}Point(c_5) → Q_{12}Intersect(k, c_5, 1) → R_{12}Point(k) → S_{12}Point(k) → T_{12}Point(k) → U_{12}Intersect(k, p, 2) → V_{12}Point(p) → W_{12}Point(p) → Z_{12}Point(p) → A_{13}Point(p) → B_{13}Polygon(O_{12}, P_{12}, A_{13}, B_{13}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}) → poly14, b_{15}, z_{12}, i_{16}, j_{16}, c_{15}, d_{15}, e_{15}, f_{16}, g_{16}, h_{16}, v_{12}, w_{12}Circle(C_{13}, 1.98) → c_{16}