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猫的变换

猫的变换
几何画板及绘图内容加载中，请稍等……
2016-02-02 06:47
向量解析几何变换
这个范例展示了多种图形变换，包括平移、反射、放大和旋转。通过这些变换，可以直观地理解几何变换的概念。使用了Vector, Translate, Segment, Circle, Point, Angle, Rotate, Dilate, Line, Mirror等GeoGebra命令。适合初中及以上学生学习几何变换。

GeoGebra 命令及参数

  1. Vector(F, TranslationVector) → u
  2. Translate(pic1, u) → pic1'_2
  3. Translate(A, u) → A'_2
  4. Translate(B, u) → B'_2
  5. Segment(B, CentreofRotation) → a
  6. Circle(CentreofRotation, B) → c
  7. Point(c) → E
  8. Segment(B, CentreofRotation) → b
  9. Segment(CentreofRotation, E) → d
  10. Angle(E, CentreofRotation, B) → α
  11. Rotate(pic1, (-α), CentreofRotation) → pic1'_3
  12. Rotate(A, (-α), CentreofRotation) → A'_3
  13. Dilate(A, ScaleFactor, CentreofEnlargement) → A'_1
  14. Dilate(B, ScaleFactor, CentreofEnlargement) → B'_1
  15. Dilate(pic1, ScaleFactor, CentreofEnlargement) → pic1'_1
  16. Point(xAxis) → C
  17. Line(C, G) → ReflectionLine
  18. Mirror(pic1, ReflectionLine) → pic1'
  19. Mirror(A, ReflectionLine) → A'
  20. Mirror(B, ReflectionLine) → B'