四维空间的复数线
几何画板及绘图内容加载中,请稍等……
所属专题
Complex Math
这个范例展示了复数线的几何表示。它涉及复数的基本概念,如实部和虚部。通过使用GeoGebra命令如OrthogonalLine、Intersect、Polygon等,可以动态地探索复数线的性质。适合高中数学教学和学习。
GeoGebra 命令及参数
OrthogonalLine(A, yAxis) → aOrthogonalLine(B, yAxis) → bOrthogonalLine(C, xAxis) → cOrthogonalLine(D, xAxis) → dIntersect(b, c) → EIntersect(b, d) → FIntersect(a, d) → GIntersect(a, c) → HPolygon(E, F, G, H) → poly1, e, f, g, hVector(I, J) → uTranslate(E, u) → E'Translate(F, u) → F'Translate(G, u) → G'Translate(H, u) → H'Polygon(E', F', G', H') → poly1', e', f', g', h'Intersect(e', f') → KIntersect(e, f) → LIntersect(e, h) → MIntersect(e', h') → NPolygon(K, L, M, N) → poly2, k, l, m, nIntersect(f', g') → OIntersect(f, g) → PIntersect(g, h) → QIntersect(g', h') → RPolygon(O, P, Q, R) → poly3, o, p, q, rIntersect(e, h) → SIntersect(e', h') → TIntersect(g', h') → UIntersect(g, h) → VPolygon(S, T, U, V) → poly4, s, t, u_1, vIntersect(e, f) → WIntersect(e', f') → ZIntersect(f', g') → A_1Intersect(f, g) → B_1Polygon(W, Z, A_1, B_1) → poly5, w, z_1, a_1, b_1Intersect(e, h) → C_1Intersect(f', g') → D_1Vector(C_1, D_1) → iPoint(h) → K_1Point(f) → L_1Point(h') → N_1Polygon(K_1, L_1, M_1, N_1) → poly6, k_1, l_1, m_1, n_1Point(h) → O_1Point(f) → P_1Point(h') → R_1Polygon(O_1, P_1, Q_1, R_1) → poly7, o_1, p_1, q_1, r_1Point(h) → S_1Point(f) → T_1Point(f') → U_1Point(h') → V_1Polygon(S_1, T_1, U_1, V_1) → poly8, s_1, t_1, u_2, v_1Intersect(g', h') → W_1Point(g) → Z_1Segment(W_1, Z_1) → jPoint(o) → A_2Segment(Z_1, A_2) → c_1Segment(W_1, A_2) → d_1Segment(Z_1, B_2) → e_1Point(g) → C_2Intersect(t_1, d_1) → D_2Segment(C_2, D_2) → f_1Point(f) → L_2Segment(K_2, L_2) → g_1Vector(M_2, N_2) → w_1Translate(Z_1, w_1) → O_2Translate(A_2, w_1) → P_2Segment(O_2, P_2) → h_1Vector(Q_2, R_2) → i_1Translate(W_1, i_1) → S_2Translate(Z_1, i_1) → T_2Segment(S_2, T_2) → j'Vector(U_2, V_2) → j_1Translate(Z_1, j_1) → W_2Translate(B_2, j_1) → Z_2Segment(W_2, Z_2) → a_2Vector(A_3, B_3) → v_2Translate(C_2, v_2) → C_3Translate(D_2, v_2) → D_3Segment(C_3, D_3) → b_2Vector(E_3, F_3) → w_2Translate(K_2, w_2) → G_3Translate(L_2, w_2) → H_3Segment(G_3, H_3) → c_2Point(e) → I_3Point(o) → J_3Segment(I_3, J_3) → d_2Point(e) → K_3Intersect(t_1, f_1) → L_3Segment(K_3, L_3) → e_2Point(e) → M_3Point(f) → N_3Segment(M_3, N_3) → f_2Point(e) → O_3Point(e_1) → P_3Segment(O_3, P_3) → g_2Point(e) → Q_3Intersect(g', h') → R_3Segment(Q_3, R_3) → h_2Intersect(e, h) → S_3Segment(S_3, T_3) → i_2Intersect(g, h) → U_3Segment(U_3, V_3) → j_2Intersect(e', f') → W_3Segment(W_3, Z_3) → k_2Intersect(e', h') → A_4Segment(A_4, B_4) → l_2Intersect(e', h') → C_4Point(i_2) → E_4Point(j_2) → F_4Segment(E_4, F_4) → n_2Intersect(f', g') → G_4Segment(G_4, H_4) → p_2Point(f') → I_4Segment(I_4, J_4) → q_2Point(f') → K_4Segment(K_4, L_4) → r_2Intersect(e', f') → M_4Segment(M_4, N_4) → s_2Point(f') → O_4Segment(O_4, P_4) → t_2Point(i_2) → Q_4Vector(Q_4, R_4) → u_3Intersect(e, h) → S_4Vector(S_4, T_4) → v_3Point(h') → U_4Segment(U_4, V_4) → a_3Intersect(e', h') → W_4Segment(W_4, Z_4) → b_3Point(a_3) → A_5Point(b_3) → B_5Segment(A_5, B_5) → c_3Point(h') → C_5Segment(C_5, D_5) → d_3Point(q) → E_5Segment(E_5, F_5) → e_3Intersect(a_3, c_3) → G_5Point(e_3) → H_5Segment(G_5, H_5) → f_3Intersect(c_1, d_1) → K_5Intersect(e', h') → L_5Segment(K_5, L_5) → h_3Intersect(t_1, d_1) → M_5Point(b_2) → N_5Segment(M_5, N_5) → i_3Point(f) → O_5Point(e') → P_5Segment(O_5, P_5) → j_3Intersect(e_1, g_2) → Q_5Point(a_2) → R_5Segment(Q_5, R_5) → k_3Point(g) → S_5Segment(L_5, S_5) → l_3Point(b_2) → T_5Circle(T_5, U_5) → p_3Vector(V_5, W_5) → w_3Translate(p_3, w_3) → q_3Point(e) → Z_5Segment(U_5, Z_5) → m_3Intersect(p_3, m_1, 1) → A_6Segment(A_6, Z_5) → n_3Point(p_3) → B_6Segment(B_6, Z_5) → r_3Point(p_3) → C_6Segment(C_6, Z_5) → s_3Segment(C_6, Z_5) → t_3Angle(p_1, t_2) → αPoint(l_2) → D_6Segment(D_6, E_6) → a_4Point(b_3) → F_6Segment(E_6, F_6) → b_4Segment(G_6, H_6) → c_4Segment(K_6, L_6) → d_4Segment(K_6, M_6) → e_4Segment(K_6, N_6) → f_4Point(d_4) → O_6Point(e_4) → P_6Segment(O_6, P_6) → h_4Point(f_4) → Q_6Segment(P_6, Q_6) → i_4Segment(Q_6, O_6) → j_4Segment(R_7, T_7) → g_4Intersect(e', h') → U_6Vector(U_6, V_6) → u_4Segment(W_6, Z_6) → m_2Segment(A_7, B_7) → g_3Point(b_3) → C_7Segment(C_7, D_7) → k_4Segment(E_7, F_7) → l_4Segment(G_7, H_7) → m_4Point(k_4) → I_7Vector(I_7, J_7) → v_4Point(v_4) → K_7Segment(K_7, L_7) → n_4Segment(I_7, M_7) → p_4Point(f') → N_7Segment(N_7, O_7) → q_4Intersect(e', f') → P_7Segment(P_7, Q_7) → r_4
AI 绘图提示语参考
绘制一个四维复数线的几何表示。首先,创建两条垂直于y轴的直线a和b,两条垂直于x轴的直线c和d。接着,找到这些直线的交点E、F、G、H,然后用这些点构造一个四边形。接着,通过平移和旋转这些点,构造一系列新的四边形。最后,通过这些新的四边形,进一步构造出更复杂的几何图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。