绘制反射线

绘制反射线
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2018-02-09 01:06
本范例演示如何绘制反射线。涉及的核心数学概念包括反射变换。通过使用GeoGebra命令如Polygon, Mirror, Sequence等,可以构造出反射变换的效果。适合初中及以上学生学习反射变换的概念。

GeoGebra 命令及参数

  1. Polygon((24.3, 20), (40, 20), (40, -5), (24.3, -5)) → RightBox, j, k, l, m
  2. Polygon((-5, 16.2), (40, 16.2), (40, 20), (-5, 20)) → TopBox, f, g, h, i
  3. Polygon(A, B, C, D) → ABCD, a, b, c, d
  4. Mirror(A, ans) → A'
  5. Mirror(B, ans) → B'
  6. Mirror(C, ans) → C'
  7. Mirror(D, ans) → D'
  8. Polygon(A', B', C', D') → ABCD1, a', b', c', d'
  9. Sequence((0, j), j, 0, 16, 1) → GridSpace1
  10. Point(GridSpace1) → H1
  11. Segment(H1, H2) → Horiz
  12. Sequence((j, 0), j, 0, 24, 1) → GridSpace2
  13. Point(GridSpace2) → V1
  14. Segment(V1, V2) → Vert
  15. Intersect(Axis, ans) → AnsPt