美国航空标志构造
几何画板及绘图内容加载中,请稍等……
这个范例演示了如何使用GeoGebra构造美国航空公司的标志。核心数学概念包括向量、几何变换和坐标几何。通过使用LineBisector、Line、Vector等命令,可以构造标志中的关键元素。适合高中几何和解析几何课程使用。
GeoGebra 命令及参数
LineBisector(A, B) → mLine(A, B) → sOrthogonalLine(A, s) → bVector(A, B) → uOrthogonalVector(u) → vOrthogonalLine(F, b) → rOrthogonalLine(I, b) → hIntersect(h, m) → SMidpoint(C, A) → JOrthogonalLine(N, b) → jLineBisector(A, C) → dMirror(h, d) → h'_1OrthogonalLine(M, d) → iIntersect(i, h'_1) → GSegment(G, S) → kIntersect(r, k) → S_1Intersect(k, j) → RVector(R, G) → aIntersect(i, h) → LMirror(L, m) → L'_2Segment(K, L'_2) → lIntersect(r, l) → G_1Mirror(h, d) → h'Intersect(m, d) → EOrthogonalLine(C, v, xOyPlane) → fIntersect(f, m) → UMirror(i, m) → i'OrthogonalLine(B, u, xOyPlane) → gIntersect(g, f) → DMirror(M, m) → M'Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3Translate(B, Vector[(-2.804024317353038, -0.08247130345155984)]) → B'OrthogonalLine(Q, b) → nIntersect(l, j) → TVector(T, K) → wLineBisector(Z, V) → pLineBisector(B_1, A_1) → qIntersect(p, k) → C_1Intersect(q, l) → D_1Polygon(G, Z, V, T, A_1, B_1) → poly1, g_1, z_1, v_1, t, a_1, b_1Intersect(n, q) → E_1Vector(D_1, E_1) → u_1CircleArc(F_1, B_1, A_1) → eLineBisector(I_1, J_1) → f_1Intersect(f_1, r) → K_1CircleArc(K_1, I_1, J_1) → c_1Intersect(k, n) → M_1Intersect(d, l) → N_1LineBisector(M_1, N_1) → h_1Intersect(n, h_1) → O_1CircleArc(O_1, N_1, M_1) → d_1Polygon(M_1, I_1, J_1, L'_2, N_1) → poly2, m_1, i_1, j_1, l'_2, n_1CircleArc(C_1, V, Z) → cCurveCartesian(((1 - t)^(4) * M_1) + (((4 * (1 - t)^(3)) * t) * P_1) + (((6 * (1 - t)^(2)) * t^(2)) * Q_1) + (((4 * (1 - t)) * t^(3)) * H_1) + (t^(4) * L_1), t, 0, 1) → e_1Line(M_1, L_1) → k_1Intersect(k_1, l) → R_1Polygon(R_1, L_1, N_1) → t1, l_1, r_1, p_1CircleArc(O_1, N_1, M_1) → q_1Polygon(L'_2, G_1, S_1, I_1, J_1) → poly3, h_2, i_2, j_2, k_2, l_2Polygon(T, A_1, B_1, D_1) → q1, t_1, s_1, f_2, g_2Polygon(N_1, R_1, M_1) → t2, m_2, n_2, p_2OrthogonalLine(T_1, d) → q_2Mirror(q_2, m) → r_2OrthogonalLine(U_1, d) → s_2Mirror(s_2, m) → t_2LineBisector(T_1, U_1) → a_2Intersect(a_2, d) → V_1Intersect(q_2, h) → Z_1Line(Z_1, W_1) → c_2Line(A_2, c_2) → e_2Mirror(c_2, a_2) → f_3Mirror(e_2, a_2) → g_3Line(B_2, r) → h_3Intersect(r, e_2) → C_2Intersect(e_2, h_3) → F_2Intersect(e_2, g_3) → G_2Intersect(a_2, h_3) → H_2Intersect(a_2, r) → I_2Polygon(Z_1, A_2, C_2, I_2, H_2, F_2, G_2, V_1, W_1) → poly4, i_3, j_3, k_3, l_3, m_3, n_3, p_3, q_3, w_1Mirror(Z_1, a_2) → J_2Mirror(A_2, a_2) → K_2Mirror(C_2, a_2) → L_2Mirror(I_2, a_2) → M_2Mirror(H_2, a_2) → N_2Mirror(F_2, a_2) → O_2Mirror(G_2, a_2) → P_2Mirror(V_1, a_2) → Q_2Mirror(W_1, a_2) → R_2Polygon(J_2, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2) → poly4', r_3, s_3, t_3, b_3, d_3, o_2, e_3, f_4, g_4Intersect(t_2, d) → S_2Vector(Z_1, S_2) → u_2Translate(Z_1, u_2) → T_2Translate(A_2, u_2) → U_2Translate(C_2, u_2) → V_2Translate(I_2, u_2) → W_2Translate(H_2, u_2) → Z_2Translate(F_2, u_2) → A_3Translate(G_2, u_2) → B_3Translate(V_1, u_2) → C_3Translate(W_1, u_2) → D_3Polygon(T_2, U_2, V_2, W_2, Z_2, A_3, B_3, C_3, D_3) → poly4'_1, h_4, i_4, v_2, w_2, z_2, j_4, k_4, l_4, m_4Translate(J_2, u_2) → E_3Translate(K_2, u_2) → F_3Translate(L_2, u_2) → H_3Translate(M_2, u_2) → I_3Translate(N_2, u_2) → J_3Translate(O_2, u_2) → K_3Translate(P_2, u_2) → L_3Translate(Q_2, u_2) → M_3Translate(R_2, u_2) → N_3Polygon(E_3, F_3, H_3, I_3, J_3, K_3, L_3, M_3, N_3) → poly4'', n_4, p_4, q_4, r_4, s_4, t_4, a_4, b_4, c_4
AI 绘图提示语参考
绘制美国航空标志,首先通过点A和B绘制线段,然后构造线段的中垂线和垂线,接着利用向量和垂线构造其他关键点和线段,逐步构建标志的各个部分,最后通过镜像和旋转等变换完成标志的整体构造。
以上提示语为根据原始绘图命令整理而来,仅供参考。