滑动游戏:几何变换与轨迹分析
几何画板及绘图内容加载中,请稍等……
本范例通过几何变换演示图形动态变化现象。核心数学概念包括相似变换、线性方程与向量运算。作图要点涉及OrthogonalLine、Intersect、Polygon等GeoGebra命令及多边形构造。适合中学几何教学与动态几何探索。
GeoGebra 命令及参数
OrthogonalLine(F, yAxis) → aOrthogonalLine(E, yAxis) → bOrthogonalLine(D, yAxis) → cOrthogonalLine(C, yAxis) → dOrthogonalLine(B, yAxis) → eOrthogonalLine(G, xAxis) → fOrthogonalLine(H, xAxis) → gOrthogonalLine(I, xAxis) → hOrthogonalLine(J, xAxis) → iOrthogonalLine(K, xAxis) → jOrthogonalLine(L, xAxis) → kIntersect(f, a) → MIntersect(g, a) → NIntersect(h, a) → OIntersect(i, a) → PIntersect(j, a) → QIntersect(k, a) → RIntersect(k, b) → SIntersect(k, c) → TIntersect(k, d) → UIntersect(k, e) → VIntersect(j, b) → WIntersect(j, c) → ZIntersect(j, d) → A_1Intersect(j, e) → B_1Intersect(i, e) → C_1Intersect(i, d) → D_1Intersect(i, c) → E_1Intersect(i, b) → F_1Intersect(h, b) → G_1Intersect(h, c) → H_1Intersect(h, d) → I_1Intersect(h, e) → J_1Intersect(e, g) → K_1Intersect(g, d) → L_1Intersect(g, c) → M_1Intersect(g, b) → N_1Intersect(f, b) → O_1Intersect(f, c) → P_1Intersect(f, d) → Q_1Intersect(f, e) → R_1Polygon(R_1, K_1, H, G) → poli2, r_2, k_1, h_1, g_2Polygon(H, I, J_1, K_1) → poli3, h_2, i_1, j_1, k_2Polygon(I, J, C_1, J_1) → poli4, i_2, j_2, c_1, j_3Polygon(I_1, D_1, C_1, J_1) → poli5, i_3, d_1, c_2, j_4Polygon(H_1, E_1, D_1, I_1) → poli6, h_3, e_1, d_2, i_4Polygon(M_1, H_1, I_1, L_1) → poli7, m_1, h_4, i_5, l_1Polygon(H_1, G_1, F_1, E_1) → poli8, h_5, g_3, f_1, e_2Polygon(N, O, G_1, N_1) → poli9, n, o, g_4, n_1Polygon(O, P, F_1, G_1) → poli10, o_1, p, f_2, g_5Polygon(F_1, W, Q, P) → poli11, f_3, w, q, p_1Polygon(Q, R, S, W) → poli12, q_1, r, s, w_1Polygon(C_1, B_1, K, J) → poli13, c_3, b_2, k_3, j_5VerticalText(testo1) → testo2
AI 绘图提示语参考
这是一个几何变换的动态图形,包含多个线段和点。线段从原点向外延伸,形成一系列垂直和水平的线。点通过这些线段的交点连接,形成一个复杂的图形结构。图形展示了相似变换和线性方程的应用,适合用于几何教学和探索。
以上提示语为根据原始绘图命令整理而来,仅供参考。