Gucci Logo 几何构造
几何画板及绘图内容加载中,请稍等……
①本范例演示了如何利用 GeoGebra 构造一个类似 Gucci Logo 的几何图形,涉及圆、对称性、四边形等元素;②核心数学概念包括圆、对称、四边形、切线函数、垂心、函数、平面图形;③作图要点使用了 LineBisector(角平分线)、Vector(向量)、OrthogonalVector(正交向量)、Line(直线)、OrthogonalLine(垂线)、Intersect(交点)、Mirror(镜像)、Polygon(多边形)、Circle(圆)、CircleArc(圆弧)、Segment(线段)等命令和对象;④适合高中数学教学,用于展示几何作图与变换的应用。
GeoGebra 命令及参数
LineBisector(A, B) → mVector(A, B) → uOrthogonalVector(u) → vLineBisector(A_1, A) → lLineBisector(A_1, A) → nLineBisector(A_1, A) → hLine(A, B) → sOrthogonalLine(D, s) → iIntersect(i, l) → PLine(Q, l) → tMirror(t, l) → t'OrthogonalLine(A, s) → bOrthogonalLine(B, u, xOyPlane) → gMirror(i, m) → i'OrthogonalLine(A_1, b) → rIntersect(g, r) → CIntersect(b, l) → OIntersect(b, t) → HMirror(H, l) → H'Mirror(H, m) → H'_1Mirror(H', m) → H''Polygon(H, H'_1, H'', H') → c1, h_1, h'_1, h'', h'Intersect(m, l) → LMirror(N, m) → N'Circle(N, N') → cIntersect(c, l) → E, GCircle(N, I) → eIntersect(c, t) → J, KIntersect(e, t) → R, SCircleArc(N, K, J) → fCircleArc(N, S, R) → qMirror(f, l) → f'Mirror(q, l) → q'Mirror(f, m) → f'_1Mirror(q, m) → q'_1Mirror(f', m) → f''Mirror(q', m) → q''Intersect(f', t') → M, H_2Intersect(q', t') → T, I_2CircleArc(N, J, M) → c_1CircleArc(N, R, T) → d_1Polygon(J, R, T, M) → c2, j_1, r_1, t_1, m_1Mirror(c_1, m) → f_1Mirror(m, m_1) → m'Mirror(m, m_1) → m'_1Mirror(M, m) → M'Mirror(J, m) → J'Segment(M', J') → i_1Mirror(T, m) → T'Mirror(M, m) → M'_1Segment(T', M'_1) → k_1Mirror(J, m) → J'_1Mirror(R, m) → R'Mirror(T, m) → T'_1Mirror(M, m) → M'_2Polygon(J'_1, R', T'_1, M'_2) → c2', j'_1, r', t'_1, m'_2Intersect(c, q) → U, , ,Intersect(c, f, 1) → VIntersect(q'_1, c) → W, , ,Intersect(e, m) → Z, B_1CircleArc(N, K, W) → p_1CircleArc(N, S, W) → q_1Polygon(B_1, W, K, S) → c3, b_1, w, k_2, s_1Mirror(p_1, l) → c_2Mirror(q_1, l) → d_2Mirror(S, l) → S'Mirror(B_1, l) → C_1Segment(S', C_1) → l_1Mirror(K, l) → K'Mirror(S, l) → S'_1Segment(K', S'_1) → n_1Mirror(W, l) → W'Mirror(K, l) → K'_1Segment(W', K'_1) → w'Mirror(B_1, l) → D_1Mirror(W, l) → W'_1Segment(D_1, W'_1) → a_1Mirror(c_2, l) → f_2Mirror(B_1, l) → aMirror(W, l) → W'_2Mirror(K, l) → K'_2Mirror(S, l) → S'_2Mirror(B_1, l) → F_1Mirror(W, l) → W'_3Mirror(K, l) → K'_3Mirror(S, l) → S'_3Polygon(F_1, W'_3, K'_3, S'_3) → c3'_1, h_2, w'_3, k'_3, s'_3Mirror(B_1, m) → G_1Mirror(W, m) → W'_4Mirror(K, m) → K'_4Mirror(S, m) → S'_4Polygon(G_1, W'_4, K'_4, S'_4) → c3'_2, i_2, w'_4, k'_4, s'_4Mirror(p_1, m) → p_2Mirror(q_1, m) → q_2Mirror(c_2, m) → g_2Mirror(F_1, m) → E_1Mirror(W'_3, m) → H_1Mirror(K'_3, m) → I_1Mirror(S'_3, m) → J_1Polygon(E_1, H_1, I_1, J_1) → c4, j_2, l_2, m_2, n_2Mirror(d_2, m) → r_2OrthogonalLine(K_1, m'_1) → s_2Intersect(c, s_2) → L_1, M_1Intersect(f, h'') → N_1,Intersect(f, t') → O_1,Intersect(c, t') → P_1, Q_1OrthogonalLine(R_1, s_2) → t_2Intersect(t_2, s_2) → S_1Polygon(L_1, S_1, R_1, Q_1) → c5, b_2, f_3, g_3, h_3Mirror(L_1, m) → T_1Mirror(S_1, m) → U_1Mirror(R_1, m) → V_1Mirror(Q_1, m) → W_1Polygon(T_1, U_1, V_1, W_1) → c5', i_3, u_1, v_1, a_2Intersect(c, m) → Z_1, A_2OrthogonalLine(A_2, m'_1) → j_3Mirror(j_3, l) → k_3Intersect(b, j_3) → B_2Intersect(g, j_3) → C_2Polygon(B_2, C_2, H'_1, H) → c6, l_3, m_3, n_3, h_4Mirror(c6, l) → c6'Polygon(B_2, C_2, C, A_1) → c7, p_3, q_3, c_3, r_3Mirror(c7, l) → c7'Mirror(d_1, m) → g_1Mirror(A_1, l) → D_2Mirror(B_2, l) → E_2Segment(D_2, E_2) → s_3Mirror(C, l) → C'Mirror(A_1, l) → F_2Segment(C', F_2) → t_3Mirror(C_2, l) → G_2Mirror(C, l) → C'_1Segment(G_2, C'_1) → b_3
AI 绘图提示语参考
绘制一个类似于古驰标志的几何图形,包含两个相交的圆和一个四边形。首先画两个圆,然后通过圆心的对称轴和切线构造四边形的边,接着利用镜像和旋转命令生成图形的另一半,最后连接关键点形成完整的图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。