Logo PAU GASOL 几何作图
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二维向量、圆、矩形、对称等几何元素绘制 PAU GASOL 的标志图形;②涉及的核心数学概念包括二维向量运算、圆与矩形的几何构造、对称性、中点、交点计算等;③作图要点提炼自 GeoGebra 命令:使用 Line, OrthogonalLine, Vector, OrthogonalVector, LineBisector, Mirror, Intersect, Midpoint, Polygon, CircleArc, Center, Segment 等命令进行精确几何构造;④适合高中数学学生或教师用于学习几何作图、向量应用及对称性原理,也可用于数学可视化教学。
GeoGebra 命令及参数
Line(A, B) → sOrthogonalLine(A, s) → bVector(A, B) → uOrthogonalVector(u) → vOrthogonalLine(F, b) → fOrthogonalLine(A_1, b) → rLineBisector(A_1, A) → lMirror(f, l) → f'_1Mirror(f, l) → f'OrthogonalLine(D, s) → iIntersect(i, f') → ELineBisector(A, B) → mMirror(i, m) → i'Intersect(m, f') → SOrthogonalLine(K_1, f'_1) → n_1OrthogonalLine(K, r) → hIntersect(m, l) → LMidpoint(S, L) → HOrthogonalLine(H, m) → kIntersect(h, k) → B_2OrthogonalLine(C_2, b) → d_2Intersect(n_1, d_2) → D_2Intersect(i', k) → H_1LineBisector(K_1, H_1) → q_1Intersect(q_1, k) → I_1LineBisector(E_2, D_2) → j_3Intersect(j_3, k) → G_2Intersect(j_3, m) → F_2Midpoint(G_2, F_2) → H_2OrthogonalLine(O, k) → jIntersect(i, l) → POrthogonalLine(B, u, xOyPlane) → gIntersect(g, r) → CMirror(F, l) → F'Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2OrthogonalLine(J, b) → pIntersect(i', f') → WOrthogonalLine(G, b) → tIntersect(h, t) → F_1OrthogonalLine(Q, s) → qMirror(t, l) → t'Mirror(q, m) → q'Intersect(i, f) → RLineBisector(R, P) → nIntersect(n, i) → TMirror(p, l) → p'OrthogonalLine(V, b) → aIntersect(q', t') → B_1Intersect(j, t') → IIntersect(q, t) → MIntersect(n, q) → C_1Intersect(h, t') → D_1Polygon(T, C_1, M, E) → q1, t_1, c_1, m_1, eIntersect(j, f) → ULineBisector(T, U) → dIntersect(d, a) → E_1CircleArc(E_1, T, U) → d_1Polygon(T, C_1, I, U) → q2, g_1, h_1, i_1, j_1CircleArc(E_1, C_1, I) → f_1Intersect(i', f) → G_1Intersect(q', k) → ZPolygon(I, B_1, Z, H_1, G_1, U) → poly1, i_2, b_1, z_1, k_1, l_1, u_1Intersect(t, n_1) → J_1Polygon(E, K_1, J_1, M) → q3, e_3, c, p_1, m_2CircleArc(I_1, H_1, K_1) → r_1CircleArc(I_1, Z, K_1) → s_1Polygon(H_1, Z, J_1, K_1) → q4, f_2, z_2, g_2, h_2Intersect(h, p) → NIntersect(q', p) → L_1Intersect(p', q') → M_1Intersect(j, a) → N_1Intersect(j, p') → P_1Intersect(j, n) → Q_1Intersect(n_1, a) → U_1Intersect(n, n_1) → V_1Polygon(L_1, N, O_1, R_1, V_1, U_1, T_1, S_1, P_1, M_1) → poly2, j_2, s_2, n_2, o_1, k_2, v_1, l_2, p_2, q_2, r_2LineBisector(O_1, R_1) → t_2Intersect(m, t_2) → W_1Intersect(t_2, n) → Z_1Midpoint(Z_1, W_1) → A_2CircleArc(A_2, O_1, R_1) → c_2Polygon(E_2, B_2, C_2, D_2) → q5, f_3, g_3, h_3, i_3CircleArc(H_2, D_2, E_2) → d_3Center(d_3) → I_2Center(d_3) → J_2Intersect(q, n) → K_2Segment(K_2, I) → k_3
AI 绘图提示语参考
绘制PAU GASOL标志,使用2D向量、圆、矩形、对称和其他几何元素。首先画出两条线段AB和FA,然后构造向量u和其正交向量v,接着画出正交线b和f。通过镜像和交点构造标志的关键部分,最终形成标志的轮廓。
以上提示语为根据原始绘图命令整理而来,仅供参考。