拉里奥哈图书馆标志
几何画板及绘图内容加载中,请稍等……
该范例演示了如何使用GeoGebra绘制拉里奥哈图书馆的标志。涉及的核心数学概念包括向量、反射和几何作图。通过使用LineBisector, Vector, OrthogonalVector, Midpoint, OrthogonalLine, Intersect, Line, Mirror, Polygon等命令,可以构造出标志的各个部分。适合高中数学教学和学习。
GeoGebra 命令及参数
LineBisector(A, B) → mVector(A, B) → uOrthogonalVector(u) → vMidpoint(A_1, A) → JOrthogonalLine(J, m) → iOrthogonalLine(K, i) → lOrthogonalLine(F, l) → nIntersect(m, n) → HLine(A, B) → sOrthogonalLine(A, s) → bOrthogonalLine(M_3, b) → g_4Mirror(g_4, i) → g_1OrthogonalLine(G, l) → pMirror(p, i) → p'Intersect(l, n) → QLine(D, b) → fIntersect(f, p') → I_1Intersect(f, g_1) → G_1Mirror(R_1, i) → C_2Mirror(n, i) → n'Intersect(f, n') → E_1LineBisector(C_2, S_1) → dIntersect(f, i) → H_1Mirror(l, m) → l'Intersect(l', n') → B_1OrthogonalLine(M, i) → aOrthogonalLine(B, u, xOyPlane) → gMirror(J, m) → J'OrthogonalLine(R, s) → j_4Intersect(l, g_4) → Z_3OrthogonalLine(L, i) → tMirror(M_3, i) → UOrthogonalLine(A_1, b) → rIntersect(g, r) → CPolygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2OrthogonalLine(N, i) → jLine(I, a) → hIntersect(j_4, i) → PMidpoint(P, R) → SIntersect(l', n) → WOrthogonalLine(E, n') → j'Intersect(j_4, n') → C_1Intersect(t, n') → D_1Intersect(j_4, g_1) → F_1Intersect(h, n) → K_1Intersect(j, n) → L_1Intersect(j', g_4) → M_1OrthogonalLine(Z, s) → kIntersect(j', p') → P_1Intersect(j', g_1) → Q_1Polygon(C_1, D_1, L, R) → q2, c_1, d_1, l_1, r_1CircleArc(J_1, C_2, S_1) → eMirror(e, i) → e'Polygon(E_1, S_1, T_1, H_1) → q3, e_1, s_1, t_1, h_1Polygon(I_1, O_1, R_1, G_1) → q4, i_1, o_1, q, f_1Mirror(E_1, i) → U_1Mirror(S_1, i) → V_1Mirror(T_1, i) → W_1Mirror(H_1, i) → Z_1Polygon(U_1, V_1, W_1, Z_1) → q3', u_1, v_1, w_1, z_1Mirror(I_1, i) → A_2Mirror(O_1, i) → B_2Mirror(G_1, i) → D_2Polygon(A_2, B_2, C_2, D_2) → q4', j_1, b_2, c_2, d_2CircleArc(E_2, R_1, O_1) → k_1Mirror(k_1, i) → p_1Polygon(I, N, L_1, K_1) → q5, i_2, n_1, m_1, q_1Polygon(V, O, T, H) → q6, v_2, o_2, t_2, h_2CircleArc(I_2, N_1, F_2) → e_2CircleArc(J_2, H_2, G_2) → f_2Polygon(E, F_2, N_1, M_1) → q7, g_2, j_2, k_2, l_2Polygon(P_1, G_2, H_2, Q_1) → q8, m_2, n_2, p_2, q_2Line(M_1, Z) → r_2Line(W, r_2) → s_2Polygon(M_1, H_2, W, Z) → q9, f_3, g_3, w, z_2Segment(A_2, B_2) → h_3Segment(B_2, V_1) → i_3Segment(A_2, U_1) → j_3Segment(E_1, I_1) → k_3Segment(I_1, O_1) → l_3Segment(E, P_1) → m_3Segment(P_1, G_2) → n_3
AI 绘图提示语参考
绘制一个图书馆Logo,包含多个相交的线段和反射的几何图形。首先画出线段AB,然后找到AB的中点J,接着画出AB的垂直平分线m。使用垂直平分线m和线段AB构造其他线段和反射图形,最终形成Logo的轮廓。
以上提示语为根据原始绘图命令整理而来,仅供参考。