巴拉韦尔螺旋
几何画板及绘图内容加载中,请稍等……
这个范例展示了巴拉韦尔螺旋的构造。它涉及到了几何作图和函数图像。通过使用Polygon, Point, Distance, Circle, Intersect等命令,可以构造出一系列的螺旋线。适合高中数学教学和学习。
GeoGebra 命令及参数
Polygon(A, B, 4) → poly1, f, g, h, i, C, DPoint(f) → EDistance(A, E) → AEDistance(A, B) → ABCircle(B, Segment[A, E]) → cIntersect(c, g, 1) → FPolygon(E, F, 4) → poly2, j, l, m, n, G, HCircle(E, (k * j)) → dIntersect(d, j, 1) → IIntersect(g, j) → JCircle(F, Segment[E, I]) → eIntersect(e, l, 1) → KPolygon(I, K, 4) → poly3, p, q, r, s, L, MCircle(I, (p * k)) → tIntersect(t, p, 1) → NCircle(K, Segment[I, N]) → c_1Intersect(c_1, q, 1) → OPolygon(N, O, 4) → poly4, a, b, f_1, g_1, P, QCircle(N, (a * k)) → d_1Intersect(d_1, a) → R,Circle(O, Segment[N, R]) → e_1Intersect(e_1, b, 1) → SPolygon(R, S, 4) → poly5, h_1, i_1, j_1, k_1, T, UCircle(R, (h_1 * k)) → p_1Intersect(p_1, h_1, 1) → VCircle(S, Segment[R, V]) → q_1Intersect(q_1, i_1, 1) → WPolygon(V, W, 4) → poly6, l_1, m_1, n_1, r_1, Z, A_1Circle(V, (l_1 * k)) → s_1Intersect(s_1, l_1) → B_1,Circle(W, Segment[V, B_1]) → t_1Intersect(t_1, m_1, 1) → C_1Polygon(B_1, C_1, 4) → poly7, a_1, b_1, f_2, g_2, D_1, E_1Polygon(D, H, G) → t1, g_3, d_2, h_2Polygon(H, M, L) → t2, l_2, h_3, m_2Polygon(M, Q, P) → t3, p_2, m_3, q_2Polygon(U, T, Q) → t4, q_3, u, t_2Polygon(U, A_1, Z) → t5, z_1, u_1, a_2Polygon(A_1, E_1, D_1) → t6, d_3, a_3, e_2Polygon(C_1, W, B_1) → t7, b_2, c_2, wPolygon(W, S, V) → t8, v, w_1, s_2Polygon(S, O, R) → t9, r_2, s_3, oPolygon(O, K, N) → t10, n_2, o_1, k_2Polygon(K, F, I) → t11, i_2, k_3, f_3Polygon(E_1, V, B_1) → t12, b_3, e_3, v_1Polygon(A_1, R, V) → t13, v_2, a_4, r_3Polygon(U, N, R) → t14, r_4, u_2, n_3Polygon(Q, I, N) → t15, n_4, q_4, i_3Polygon(M, E, I) → t16, i_4, m_4, e_4Polygon(H, A, E) → t17, e_5, h_4, a_5Polygon(F, B, E) → t18, e_6, f_4, b_4Polygon(D_1, Z, C_1) → t19, c_3, d_4, z_2Polygon(Z, T, W) → t20, w_2, z_3, t_3Polygon(T, P, S) → t21, s_4, t_4, p_3Polygon(P, L, O) → t22, o_2, p_4, l_3Polygon(L, G, K) → t23, k_4, l_4, g_4Polygon(G, C, F) → t24, f_5, g_5, c_4Polygon(A, B, 4) → poly8, j_2, j_3, j_4, h_5, F_1, G_1Polygon(A_2, B_2, 4) → poly1_1, f_{10}, g_{10}, h_{11}, i_9, C_2, D_3Distance(A_2, B_2) → AB_1Polygon(A_4, B_4, 4) → poly1_2, f_{20}, g_{20}, h_{23}, i_{19}, C_6, D_7Distance(A_4, B_4) → AB_2Polygon(A_5, B_5, 4) → poly1_3, f_{21}, g_{21}, h_{22}, i_{18}, C_4, D_5Distance(A_5, B_5) → AB_3
AI 绘图提示语参考
绘制一个由多个正方形和圆形构成的螺旋图案,从中心开始向外扩展。每个正方形边长逐渐增大,正方形的顶点连接圆形,圆形与正方形边相交形成新的顶点,重复此过程创建螺旋效果。图案包含多个嵌套的正方形和圆形,展现几何构造的规律性。
以上提示语为根据原始绘图命令整理而来,仅供参考。