变换高尔夫球洞1

变换高尔夫球洞1
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2020-07-24 00:30
①本范例演示了通过平移、反射和旋转变换图形的动态过程;②涉及的核心数学概念包括变换(平移、反射、旋转)、向量、多边形、坐标系;③作图要点——从下方『构造摘要』提炼用到了Vector, Polygon, Vertex, Point, Line, zoomX1, Center1, zoom1, xmax1, xmin1, Center2, zoomX2, zoom2, xmax2, xmin2, ymax1, ymin1, ymax2, ymin2, TranslateButton, A, B, u, TranslateReadyButton, OrigPts, ball, C, D, E, H, trans, OrigPts_{old}, ball_{old}, ReflectButton, ReflectReadyButton, F, G, f, RefAni, Init, RotateButton, RotateReadyButton, α, RotAni, R等GeoGebra命令/对象;④适合高中阶段学习几何变换的学生,可用于理解变换的性质和应用。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. Polygon(OrigPts) → ball
  3. Vertex(ball) → C, D, E
  4. Point(u) → H
  5. Vector(A, H) → trans
  6. Polygon(OrigPts_{old}) → ball_{old}
  7. Line(F, G) → f
  8. Polygon(I, J, K, L) → green, i, j, k, l