梯子上的猫 by Malin Christersson (2)
几何画板及绘图内容加载中,请稍等……
①本范例演示了椭圆与几何变换的综合应用;②涉及的核心数学概念包括椭圆、中点、镜像、线段、多边形、不等式等;③作图要点提炼自构造摘要,使用了Intersect(交点)、Midpoint(中点)、Mirror(镜像)、Segment(线段)、Ellipse(椭圆)、Polygon(多边形)等GeoGebra命令;④适合高中及以上数学学习者,用于理解几何变换与椭圆性质。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → AMidpoint(C, D) → A1Midpoint(A1, C) → A2Midpoint(A2, C) → A3Midpoint(A2, B) → A4Midpoint(B, D) → A5Midpoint(A5, D) → A6Midpoint(A5, B) → A7Mirror(A1, yAxis) → C1Mirror(A2, yAxis) → C2Mirror(A3, yAxis) → C3Mirror(A4, yAxis) → C4Mirror(A5, yAxis) → C5Mirror(A6, yAxis) → C6Mirror(A7, yAxis) → C7Mirror(B1, yAxis) → D1Mirror(B2, yAxis) → D2Mirror(B3, yAxis) → D3Mirror(B4, yAxis) → D4Mirror(B5, yAxis) → D5Mirror(B6, yAxis) → D6Mirror(B7, yAxis) → D7Mirror(D, yAxis) → D'Segment(C, D) → eEllipse(E1, F1, G1) → H1Polygon(F1, G1, 3) → I1, f, h, i, FPolygon(F2, G2, 3) → I2, m, n, p, HPolygon(F3, G3, 3) → I3, q, s, a_1, IPolygon(F4, G4, 3) → I4, b_1, c_1, d_1, JPolygon(F5, G5, 3) → I5, e_1, f_1, g_1, KPolygon(F6, G6, 3) → I6, h_1, i_1, j_1, LPolygon(F7, G7, 3) → I7, k_1, l_1, m_1, MPolygon(F8, G8, 3) → I8, n_1, p_1, q_1, NPolygon(F9, G9, 3) → I9, r_1, s_1, t_1, OPolygon(G1, E1, 3) → N1, j, k, l, GPolygon(G2, E2, 3) → N2, a_2, b_2, c_2, PPolygon(G3, E3, 3) → N3, d_2, e_2, f_2, QPolygon(G4, E4, 3) → N4, g_2, h_2, i_2, RPolygon(G5, E5, 3) → N5, j_2, k_2, l_2, SPolygon(G6, E6, 3) → N6, m_2, n_2, p_2, TPolygon(G7, E7, 3) → N7, q_2, r_2, s_2, UPolygon(G8, E8, 3) → N8, t_2, a_3, b_3, VPolygon(G9, E9, 3) → N9, c_3, d_3, e_3, WEllipse(E2, F2, G2) → H2Ellipse(E3, F3, G3) → H3Ellipse(E4, F4, G4) → H4Ellipse(E5, F5, G5) → H5Ellipse(E6, F6, G6) → H6Ellipse(E7, F7, G7) → H7Ellipse(E8, F8, G8) → H8Ellipse(E9, F9, G9) → H9
AI 绘图提示语参考
绘制一个梯子上的猫,使用椭圆和几何变换。首先在坐标轴上找到交点A,然后通过多次中点和镜像操作生成一系列点。接着用这些点构造多个椭圆和多边形,形成梯子和猫的轮廓。最后调整位置和大小,确保图形完整且美观。
以上提示语为根据原始绘图命令整理而来,仅供参考。