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等边多边形动态绘制与定义演示

等边多边形动态绘制与定义演示
几何画板及绘图内容加载中，请稍等……
2017-01-18 03:04
多边形角几何作图滑块动画
所属专题 Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR 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 Polygons & Angles Polygons & Angles Polygons & Angles ( s n attar) Polygons & Angles Congruence: Volume 1 - Chapter 1 Congruence: Volume 1 - Chapter 1
①本范例演示等边多边形的动态绘制与可修改的图形展示，并包含定义书写提示；②涉及的核心数学概念包括多边形构造、比例、角度、旋转与变换；③作图要点提炼自构造摘要，使用了Circle（圆）、Segment（线段）、Point（点）、Intersect（交点）、Polygon（多边形）、Dilate（缩放）、Angle（角度）、Rotate（旋转）等GeoGebra命令/对象；④适合高中数学教学，用于几何作图、变换学习及概念理解。

GeoGebra 命令及参数

  1. Circle(A, B) → c
  2. Segment(A, B) → f
  3. Circle(B, f) → d
  4. Point(d) → C
  5. Circle(C, f) → e
  6. Segment(B, C) → g
  7. Point(e) → D
  8. Segment(C, D) → h
  9. Circle(D, f) → k
  10. Intersect(c, k, 1) → E
  11. Polygon(A, B, C, D, E) → poly1, a, b, c_1, d_1, e_1
  12. Segment(A, B) → i
  13. Segment(B, C) → j
  14. Segment(C, D) → l
  15. Segment(D, E) → m
  16. Segment(E, A) → n
  17. Dilate(B, If[0 < o ≤ 1, 1 - o, 0], A) → A'
  18. Segment(B, A') → p
  19. Angle(B, A, E) → α
  20. Angle(A, E, D) → β
  21. Angle(E, D, C) → γ
  22. Angle(D, C, B) → δ
  23. Rotate(B, If[1 < o ≤ 2, ((o - 1) * α), α], A) → B'
  24. Rotate(A', If[1 < o ≤ 2, ((o - 1) * α), α], A) → A''
  25. Segment(B', A'') → p'
  26. Rotate(B', If[2 < o ≤ 3, ((o - 2) * β), β], E) → B''
  27. Rotate(A'', If[2 < o ≤ 3, ((o - 2) * β), β], E) → A'''
  28. Segment(B'', A''') → p''
  29. Rotate(B'', If[3 < o ≤ 4, ((o - 3) * γ), γ], D) → B'''
  30. Rotate(A''', If[3 < o ≤ 4, ((o - 3) * γ), γ], D) → F
  31. Segment(B''', F) → p'''
  32. Rotate(B''', If[4 < o ≤ 5, ((o - 4) * δ), δ], C) → G
  33. Rotate(F, If[4 < o ≤ 5, ((o - 4) * δ), δ], C) → F'
  34. Segment(G, F') → q