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绘制平移和反射变换

绘制平移和反射变换
几何画板及绘图内容加载中，请稍等……
2018-02-10 04:07
函数解析几何变换
本范例演示如何在GeoGebra中绘制平移和反射变换。核心数学概念包括平移和反射。通过使用Polygon, Join, Point, Segment等命令，可以构造出平移和反射变换的图形。适合初中及以上学生学习几何变换。

GeoGebra 命令及参数

  1. Polygon((10.5, 9), (25, 9), (25, -10), (10.5, -10)) → RightBox, j, k, l, m
  2. Polygon((-12, 7.4), (25, 7.4), (25, 15), (-12, 15)) → TopBox, f, g, h, i
  3. Polygon((15, 7.1), (15, 5.7), (21, 5.7), (21, 7.1)) → PointsBox, n, p, q, r
  4. Join({Sequence[Sequence[(i, j), i, -10, 10, 1], j, -10, 10, 1], {(16, 6.5), (18, 6.5), (20, 6.5)}}) → GridSpace
  5. Point(GridSpace) → A1
  6. Point(GridSpace) → B1
  7. Point(GridSpace) → C1
  8. Polygon(A, B, C) → ABC, c, a, b
  9. Polygon(A1, B1, C1) → ABC1, c1, a1, b1
  10. Polygon(Atrans, Btrans, Ctrans) → ABCtrans, ctrans, atrans, btrans
  11. Polygon(Acorr, Bcorr, Ccorr) → ABCcorr, ccorr, acorr, bcorr
  12. Segment(E1, E2) → AxisLine
  13. Segment((0, 7.3), (0, -8)) → yaxis