螺旋线 Alexandra H
几何画板及绘图内容加载中,请稍等……
这个范例演示了螺旋线的几何构造。涉及的核心数学概念包括函数图像和向量。通过使用GeoGebra命令如Polygon、Distance、OrthogonalLine等,可以构造出复杂的几何图形。适合高中数学教学和学习使用。
GeoGebra 命令及参数
Polygon(C, A, 3) → poligon1, f, g, h, DDistance(A, h) → distanţăAhOrthogonalLine(A, h) → iIntersect(i, h) → BSegment(A, B) → jPolygon(A, B, 3) → poligon2, k, l, m, EIntersect(f, l) → FPolygon(A, F, 3) → poligon3, n, p, q, GIntersect(m, p) → HPolygon(A, H, 3) → poligon4, r, s, t, IIntersect(q, s) → JPolygon(A, J, 3) → poligon5, a, b, c, KIntersect(t, b) → LPolygon(A, L, 3) → poligon6, d, e, f_1, MIntersect(c, e) → NPolygon(A, N, 3) → poligon7, g_1, h_1, i_1, OIntersect(f_1, h_1) → PPolygon(A, P, 3) → poligon8, j_1, k_1, l_1, QIntersect(i_1, k_1) → RPolygon(A, R, 3) → poligon9, m_1, n_1, p_1, SIntersect(l_1, n_1) → TPolygon(A, T, 3) → poligon10, q_1, r_1, s_1, UIntersect(p_1, r_1) → VPolygon(A, V, 3) → poligon11, t_1, a_1, b_1, WPolygon(C, F, B) → t1, b_2, c_1, f_2Polygon(F, H, E) → t2, e_1, f_3, h_2Polygon(H, J, G) → t3, g_2, h_3, j_2Polygon(L, J, I) → t4, i_2, l_2, j_3Polygon(N, K, L) → t5, l_3, n_2, k_2Polygon(P, N, M) → t6, m_2, p_2, n_3Polygon(O, R, P) → t7, p_3, o, r_2Polygon(T, Q, R) → t8, r_3, t_2, q_2Polygon(S, V, T) → t9, t_3, s_2, vIntersect(s_1, a_1) → ZPolygon(U, Z, V) → t10, v_1, u, z_1Point(g) → A_1Polygon(Z, A_1, W) → t11, w, z_2, d_1Polygon(A, B, D) → t12, d_2, a_2, b_3Polygon(B, F, A) → t13, a_3, b_4, f_4Polygon(F, H, A) → t14, a_4, f_5, h_4Polygon(A, J, H) → t15, h_5, a_5, j_4Polygon(A, L, J) → t16, j_5, a_6, l_4Polygon(A, L, N) → t17, n_4, a_7, l_5Polygon(A, P, N) → t18, n_5, a_8, p_4Polygon(A, R, P) → t19, p_5, a_9, r_4Polygon(T, R, A) → t20, a_{10}, t_4, r_5Polygon(V, T, A) → t21, a_{11}, v_2, t_5Polygon(V, Z, A) → t22, a_{12}, v_3, z_3Polygon(A_1, Z, A) → t23, a_{13}, c_2, z_4Intersect(d_1, a_{13}) → B_1
AI 绘图提示语参考
绘制一个螺旋形图案,包含多个三角形和线段,通过计算距离和正交线逐步构建。从中心点开始,向外扩展,每个三角形与前一个三角形共享一个顶点,并逐渐增大。图案由多个嵌套的三角形和连接线段组成,形成复杂的几何结构,展示函数图像和向量的应用。
以上提示语为根据原始绘图命令整理而来,仅供参考。