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坐标平面上的旋转探索 by Kim Kembitzky

坐标平面上的旋转探索 by Kim Kembitzky
几何画板及绘图内容加载中，请稍等……
2017-03-24 04:10
解析几何变换几何作图
本范例演示了在坐标平面上进行旋转的过程。核心数学概念包括旋转变换、解析几何。通过使用Polygon, Rotate, CircleArc, Line等GeoGebra命令，可以构造旋转后的图形。适合初中及以上学生学习几何变换。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, Degrees, Center) → A'
  3. Rotate(B, Degrees, Center) → B'
  4. Rotate(C, Degrees, Center) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. CircleArc(Center, C, C') → d
  7. CircleArc(Center, B, B') → e
  8. CircleArc(Center, A, A') → f
  9. Line(D, E) → g
  10. Line(F, G) → h
  11. Line(F, G) → i
  12. Line(E, D) → j
  13. Line(Center, j) → k
  14. Line(Center, i) → l
  15. Polygon(Center, H, C) → poly2, c_1, center, h_1
  16. Rotate(Center, Degrees, Center) → Center'
  17. Rotate(H, Degrees, Center) → H'
  18. Rotate(C, Degrees, Center) → C'_1
  19. Polygon(Center', H', C'_1) → poly2', c'_1, center', h'