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动画演示几何变换与统计分布

动画演示几何变换与统计分布
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2016-06-17 02:24
概率统计变换几何作图函数图像
所属专题 Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Congruence V1C1 Check
①本范例通过动画演示了点、线、圆的旋转变换与平移变换，并展示了正态分布曲线的统计特征；②涉及的核心数学概念包括角度、旋转、几何变换、平移、步进函数、正态分布、统计特征、直线；③作图要点提炼自构造摘要，使用了Circle（圆）、Point（点）、Rotate（旋转）、Angle（角度）、Vector（向量）、Segment（线段）、Intersect（交点）、CircleSector（圆扇形）、Line（直线）、Dilate（缩放）、Translate（平移）等GeoGebra命令与对象；④适合高中数学教学，用于理解几何变换与概率统计的结合应用。

GeoGebra 命令及参数

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Rotate(C, α, A) → C'
  4. Angle(C, A, C') → β
  5. Vector(A, C) → u
  6. Vector(A, C') → v
  7. Segment(A, B) → b
  8. Circle(D, b) → d
  9. Point(d) → E
  10. Rotate(E, α, D) → E'
  11. Angle(E, D, E') → γ
  12. Vector(D, E) → w
  13. Vector(D, E') → e
  14. Circle(A, (0.3 * b)) → f
  15. Circle(D, (0.3 * b)) → g
  16. Segment(A, C) → h
  17. Segment(A, C') → i
  18. Segment(D, E) → j
  19. Segment(D, E') → k
  20. Intersect(f, h, 1) → F
  21. Intersect(f, i, 1) → G
  22. Intersect(g, j, 1) → H
  23. Intersect(g, k, 1) → I
  24. CircleSector(A, F, G) → p
  25. Line(A, j) → l
  26. Intersect(f, l, 2) → J
  27. Angle(J, A, F) → δ
  28. Dilate(A, If[0 < m ≤ 1, 1 - m, 0], D) → A'
  29. Vector(A, A') → n
  30. Translate(p, n) → p'
  31. Rotate(p', If[1 < m ≤ 2, ((-(m - 1)) * δ), (-δ)], D) → p''