阿拉贡电视台标志几何构造
几何画板及绘图内容加载中,请稍等……
①本范例演示了如何通过几何构造绘制二维图形,特别是涉及圆、向量和角度的复杂图形;②核心数学概念包括二维向量、角度计算、圆的性质、几何作图等;③构造过程中使用了Line(直线)、OrthogonalLine(垂线)、Vector(向量)、OrthogonalVector(正交向量)、Midpoint(中点)、LineBisector(角平分线)、Mirror(镜像)、Intersect(交点)、CircleArc(圆弧)、Polygon(多边形)、CircleSector(扇形)等GeoGebra命令和对象;④适合高中及以上数学学习者,用于理解几何作图和空间关系。
GeoGebra 命令及参数
Line(A, B) → sOrthogonalLine(A, s) → bVector(A, B) → uOrthogonalVector(u) → vOrthogonalLine(A_1, b) → rMidpoint(A_1, A) → JOrthogonalLine(Q_1, b) → m_2LineBisector(A, B) → mOrthogonalLine(J, m) → iOrthogonalLine(K, i) → lMirror(l, m) → l'Line(M, N) → qOrthogonalLine(B, u, xOyPlane) → gOrthogonalLine(F, l) → nIntersect(l, n) → QLine(P_1, g) → g_2Line(E, I) → jOrthogonalLine(L, i) → tIntersect(t, i) → OLine(D, b) → fIntersect(g_2, i) → SLine(S, j) → kOrthogonalLine(R, s) → j_4Intersect(j_4, i) → PLineBisector(P, O) → n_1OrthogonalLine(M_1, b) → m_1Line(H, q) → aLine(V, i) → dLine(W, d) → eIntersect(q, e) → ZIntersect(j, j_4) → TLineBisector(T, Z) → i_1Intersect(i_1, r) → F_1CircleArc(F_1, T, Z) → e_1OrthogonalLine(G, l) → pMirror(J, m) → J'Intersect(g, r) → CPolygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2OrthogonalLine(V_1, s) → hLine(B_1, e) → f_1Intersect(e_1, a) → C_1,LineBisector(C_1, Z) → g_1Intersect(k, e_1) → U,LineBisector(T, U, xOyPlane) → h_1Intersect(k, r) → D_1Intersect(r, g_1) → E_1CircleArc(E_1, C_1, Z) → d_1Intersect(l, j) → G_1Intersect(q, m_2) → H_1LineBisector(G_1, H_1) → j_1Intersect(r, j_1) → I_1CircleArc(I_1, G_1, H_1) → k_1Intersect(a, d) → K_1Intersect(k, j_4) → J_1LineBisector(J_1, K_1, xOyPlane) → l_1Intersect(l_1, a_1) → L_1CircleArc(L_1, J_1, K_1, xOyPlane) → p_1Intersect(k, a) → N_1Polygon(T, E, D_1, U) → q2, q_1, t_1, h_2, i_2Intersect(a, r) → O_1Polygon(M, D_1, N_1, C_1, Z) → poly1, r_1, s_1, f_2, j_2, k_2CircleArc(E_1, T, U, xOyPlane) → c_1Intersect(b, k) → R_1Polygon(R_1, J_1, G_1, I) → q3, l_2, n_2, p_2, i_3Polygon(H, N, H_1, K_1) → q4, h_3, n_3, q_2, r_2Polygon(J_1, K_1, H_1, G_1) → q5, s_2, t_2, b_2, c_2Polygon(U, N_1, C_1) → t1, d_2, u_1, e_2Intersect(l, s) → S_1CircleSector(Q, F, S_1) → c_3Mirror(c_3, m) → d_3Mirror(d_3, i) → e_3Mirror(c_3, i) → f_3Polygon(F, Q, S_1, A) → q6, f_4, q_3, g_3, a_3Mirror(F, i) → F'Mirror(Q, i) → Q'Mirror(S_1, i) → T_1Mirror(A, i) → A'Polygon(F', Q', T_1, A') → q6', f', q', j_3, a'Mirror(F, m) → F'_1Mirror(Q, m) → Q'_1Mirror(S_1, m) → U_1Mirror(A, m) → A'_1Polygon(F'_1, Q'_1, U_1, A'_1) → q6'_1, f'_1, q'_1, k_3, a'_1Mirror(F'_1, i) → W_1Mirror(Q'_1, i) → Z_1Mirror(U_1, i) → A_2Mirror(A'_1, i) → B_2Polygon(W_1, Z_1, A_2, B_2) → q7, w_1, z_1, l_3, m_3Mirror(F', a') → F''Mirror(A', a') → A''
AI 绘图提示语参考
画一个复杂的二维图形,包含多个圆、向量和角度。首先绘制一条线段,然后画出这条线的垂线。接着,基于这条线段创建一个向量,并找到其垂直向量。利用这些元素构建多个几何对象,如中点、角平分线、镜像反射和圆弧。最后,将这些几何对象组合成一个多边形,展示出复杂的几何构造和空间关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。