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旋转动画演示平行四边形

旋转动画演示平行四边形
几何画板及绘图内容加载中，请稍等……
2016-06-16 10:27
角向量变换
所属专题 Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Parallel Lines and Planes
该范例演示了一个平行四边形的旋转动画。核心数学概念包括角度、直线和旋转。通过使用GeoGebra命令如Point、Rotate、Angle、Line等，可以构造出动态的几何图形。适合初中及以上学生学习几何变换和动态几何。

GeoGebra 命令及参数

  1. Point(a) → B
  2. Rotate(B, α, A) → B'
  3. Angle(B, A, B') → β
  4. Line(A, B') → b
  5. Circle(A, 1) → e
  6. Intersect(b, d) → C
  7. Circle(C, 1) → f
  8. Intersect(e, a) → D, E
  9. Intersect(e, b) → F, G
  10. Intersect(f, b) → H, I
  11. Intersect(f, d) → J, K
  12. CircleSector(C, K, I) → g
  13. CircleSector(C, I, J) → h
  14. CircleSector(C, J, H) → k
  15. CircleSector(C, H, K) → p
  16. CircleSector(A, E, G) → q
  17. CircleSector(A, G, D) → r
  18. Dilate(A, If[0 < i < 1, 1 - i], C) → A'
  19. Vector(A, A') → u
  20. Translate(q, u) → q'
  21. Translate(r, u) → r'
  22. CircleArc(A, E, G) → c_1
  23. CircleArc(A, G, D) → f_1