巴西航空线路
几何画板及绘图内容加载中,请稍等……
这个范例演示了巴西航空线路的几何图形。涉及的核心数学概念包括几何变换、向量和多边形。通过使用GeoGebra命令如LineBisector、Vector、Polygon等,可以构造出复杂的几何图形。适合高中几何课程使用。
GeoGebra 命令及参数
LineBisector(A, B) → mVector(A, B) → uOrthogonalVector(u) → vLineBisector(A, C) → dIntersect(m, d) → EMidpoint(C, A) → JOrthogonalLine(M, d) → iLine(A, B) → sOrthogonalLine(A, s) → bOrthogonalLine(I, b) → hMirror(h, d) → h'Intersect(m, h') → NMirror(F, m) → F'OrthogonalLine(C, v, xOyPlane) → fIntersect(f, m) → UMirror(i, m) → i'Intersect(h, m) → SOrthogonalLine(B, u, xOyPlane) → gIntersect(g, f) → DMirror(M, m) → M'Intersect(g, h') → A_1Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3Mirror(F', E) → F''Mirror(F', E) → F''_1LaTeX(q11, true, true) → text1Line(C, E) → jMirror(j, m) → j'Circle(E, N) → cCircle(E, K) → eCircle(E, H) → kIntersect(e, j') → L, OIntersect(e, j) → P, RAngularBisector(j', m) → l, nMirror(n, m) → n'Mirror(l, d) → l'Intersect(k, n') → T, VIntersect(k, n) → W, ZIntersect(k, l') → B_1, C_1Intersect(k, l) → D_1, E_1Line(W, L) → pMirror(p, m) → p'Intersect(p, p') → F_1Polygon(F_1, E, L) → t1, l_1, f_1, e_1Mirror(F_1, E) → G_1Mirror(E, E) → E'Mirror(L, E) → L'Polygon(G_1, E', L') → t1', q, g_1, e'Mirror(F_1, m) → H_1Mirror(E, m) → E'_1Mirror(L, m) → L'_1Polygon(H_1, E'_1, L'_1) → t1'_1, l'_1, h_1, e'_1Mirror(H_1, E) → I_1Mirror(E'_1, E) → J_1Mirror(L'_1, E) → K_1Polygon(I_1, J_1, K_1) → t2, k_1, i_1, j_1Rotate(F_1, -90°, E) → L_1Rotate(E, -90°, E) → E'_2Rotate(L, -90°, E) → L'_2Polygon(L_1, E'_2, L'_2) → t1'_2, l'_2, r, e'_2Rotate(F_1, 90°, E) → M_1Rotate(E, 90°, E) → E'_3Rotate(L, 90°, E) → L'_3Polygon(M_1, E'_3, L'_3) → t1'_3, l'_3, m_1, e'_3Mirror(M_1, E) → N_1Mirror(E'_3, E) → O_1Mirror(L'_3, E) → P_1Rotate(I_1, 90°, E) → Q_1Rotate(J_1, 90°, E) → R_1Rotate(K_1, 90°, E) → S_1Polygon(Q_1, R_1, S_1) → t2', s_1, q_1, r_1Mirror(Q_1, E) → T_1Mirror(R_1, E) → U_1Mirror(S_1, E) → V_1Polygon(T_1, U_1, V_1) → t2'', v_1, t_1, u_1Intersect(c, j') → W_1, Z_1Intersect(c, j) → A_2, B_2Polygon(W, W_1, S_1) → t4, t, w, w_1Mirror(W, U_1) → W'Mirror(W_1, U_1) → C_2Mirror(S_1, U_1) → F_2Polygon(W', C_2, F_2) → t4', f_2, w', c_2Rotate(W, -90°, U_1) → W'_1Rotate(W_1, -90°, U_1) → G_2Rotate(S_1, -90°, U_1) → H_2Polygon(W'_1, G_2, H_2) → t4'_1, h_2, w'_1, g_2Mirror(W'_1, E) → I_2Mirror(G_2, E) → J_2Mirror(H_2, E) → K_2Polygon(I_2, J_2, K_2) → t5, k_2, i_2, j_2Polygon(S_1, B_1, W_1) → t6, a, a_1, b_1Mirror(S_1, E) → L_2Mirror(B_1, E) → M_2Mirror(W_1, E) → N_2Polygon(L_2, M_2, N_2) → t6', n_2, l_2, m_2Rotate(S_1, 90°, E) → O_2Rotate(B_1, 90°, E) → P_2Rotate(W_1, 90°, E) → Q_2Polygon(O_2, P_2, Q_2) → t6'_1, q_2, o_2, p_2Mirror(O_2, E) → R_2Mirror(P_2, E) → S_2Mirror(Q_2, E) → T_2Polygon(R_2, S_2, T_2) → t7, t_2, r_2, s_2Rotate(M, 9°, U_1) → M'_1Rotate(M'_1, 9°, U_1) → U_2Rotate(U_2, 9°, U_1) → V_2Rotate(V_2, 9°, E) → W_2Rotate(Z_2, 9°, U_1) → A_3Rotate(Z_2, 18°, U_1) → B_3Rotate(A_3, 18°, E) → C_3Rotate(B_3, 18°, U_1) → D_3Segment(M'_1, A_3) → n_1Segment(U_2, B_3) → p_1Segment(V_2, C_3) → c_1Segment(W_2, D_3) → d_1Mirror(M'_1, d) → E_3Mirror(A_3, d) → F_3Segment(E_3, F_3) → a_2Mirror(U_2, d) → G_3Mirror(B_3, d) → H_3Segment(G_3, H_3) → e_2Mirror(V_2, d) → I_3Mirror(C_3, d) → J_3Segment(I_3, J_3) → f_3Mirror(W_2, d) → K_3Mirror(D_3, d) → L_3Segment(K_3, L_3) → g_3Mirror(M'_1, m) → M_3Mirror(A_3, m) → N_3Segment(M_3, N_3) → h_3Mirror(U_2, m) → O_3Mirror(B_3, m) → P_3Segment(O_3, P_3) → i_3Mirror(V_2, m) → Q_3Mirror(C_3, m) → R_3Segment(Q_3, R_3) → j_3Mirror(W_2, m) → S_3Mirror(D_3, m) → T_3Segment(S_3, T_3) → k_3Mirror(E_3, m) → U_3Mirror(F_3, m) → V_3Segment(U_3, V_3) → l_3Mirror(G_3, m) → W_3Mirror(H_3, m) → Z_3Segment(W_3, Z_3) → m_3Mirror(I_3, m) → A_4Mirror(J_3, m) → B_4Segment(A_4, B_4) → n_3Mirror(K_3, m) → C_4Mirror(L_3, m) → D_4Segment(C_4, D_4) → p_3Mirror(M'_1, j') → E_4Mirror(A_3, j') → F_4Segment(E_4, F_4) → q_3Mirror(U_2, j') → G_4Mirror(B_3, j') → H_4Segment(G_4, H_4) → r_3Mirror(V_2, j') → I_4Mirror(C_3, j') → J_4Segment(I_4, J_4) → s_3Mirror(W_2, j') → K_4Mirror(D_3, j') → L_4Segment(K_4, L_4) → t_3Mirror(E_4, m) → M_4Mirror(F_4, m) → N_4Segment(M_4, N_4) → b_3Mirror(G_4, m) → O_4Mirror(H_4, m) → P_4Segment(O_4, P_4) → d_3Mirror(I_4, m) → Q_4Mirror(J_4, m) → R_4Segment(Q_4, R_4) → e_3Mirror(K_4, m) → S_4Mirror(L_4, m) → T_4Segment(S_4, T_4) → f_4Mirror(E_4, d) → U_4Mirror(F_4, d) → V_4Segment(U_4, V_4) → g_4Mirror(G_4, d) → W_4Mirror(H_4, d) → Z_4Segment(W_4, Z_4) → h_4Mirror(I_4, d) → A_5Mirror(J_4, d) → B_5Segment(A_5, B_5) → i_4Mirror(K_4, d) → C_5Mirror(L_4, d) → D_5Segment(C_5, D_5) → j_4Mirror(M_4, d) → E_5Mirror(N_4, d) → F_5Segment(E_5, F_5) → k_4Mirror(O_4, d) → G_5Mirror(P_4, d) → H_5Segment(G_5, H_5) → l_4Mirror(Q_4, d) → I_5Mirror(R_4, d) → J_5Segment(I_5, J_5) → m_4Mirror(S_4, d) → K_5Mirror(T_4, d) → L_5Segment(K_5, L_5) → n_4
AI 绘图提示语参考
绘制巴西航线几何图形,展示几何变换、向量和多边形。首先画出线段AB的中垂线和向量AB,再构造正交向量。通过中点、正交线和镜像操作,形成复杂几何形状,包括多边形和圆。最终图形包含多个多边形和圆,体现几何构造的细节和美感。
以上提示语为根据原始绘图命令整理而来,仅供参考。