直线反射 by Nadezhda Konstantinova
几何画板及绘图内容加载中,请稍等……
①本范例演示了点、线段及图形在直线上的反射变换;②涉及核心数学概念包括反射对称性、向量运算、坐标几何;③作图要点:使用 Point, Line, Segment, Vector, Rotate 等命令创建并反射对象;④适合高中数学教学,用于理解几何变换与坐标表示。
GeoGebra 命令及参数
Point(yAxis) → TLine(K_1, T) → g_1Point(g_1) → USegment(K, U) → q_1Point(q_1, (-w)) → A_1Vector(C, E) → uVector(D, F) → vSegment(H, C) → cEllipse((3.5, 1), (-3.5, 1), 4) → dEllipse((0.75, 1), (-0.75, 1), 1) → ePoint(d, a) → IPoint(e, a) → JEllipse((0.75, 4.64), (-0.75, 4.64), 1) → fPoint(f, a) → MEllipse((1, 0.95), (1, -0.95), 1) → hEllipse((4, 0.95), (4, -0.95), 1) → kPoint(h, i) → NPoint(k, i) → OEllipse((1, 4.5), (1, -4.5), 4.64) → pPoint(p, i) → PSegment(C, N) → jEllipse((0.95, 0.95), (-0.95, -0.95), C) → qEllipse((3.9, 0.9), (-0.9, -3.9), D) → rPoint(q, n) → QPoint(r, n) → REllipse((0.9, 4.6), (-4.6, -0.9), K) → sPoint(s, n) → SLine(K, S) → tLine(C, Q) → a_1Line(D, R) → b_1Angle(b_1, m) → βSegment(T, C_1) → e_1Line(T, C_1) → f_1Point(f_1) → VLine(D_1, T) → h_1Segment(K_1, T) → i_1Segment(T, U) → j_1Segment(T, D_1) → l_1Point(h_1) → WSegment(T, W) → m_1Segment(V, T) → n_1Segment(W, D) → r_1Segment(V, C) → p_1Point(r_1, w) → ZPoint(p_1, w) → B_1Intersect(xAxis, yAxis) → F_1Segment((0, 0), A_1) → k_1Rotate(A_1, α, (0, 0)) → E_1Segment(E_1, F_1) → s_1Textfield(α) → InputBox1Rotate(pic1, α, (0, 0)) → pic1'
AI 绘图提示语参考
画一条横线和它上面的点,再画出这条线段和它的镜像点。接着,绘制两个椭圆和它们的镜像,以及由这些椭圆和点组成的图形的镜像。最后,展示这些图形的旋转对称性,并标出关键点和线段。
以上提示语为根据原始绘图命令整理而来,仅供参考。