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正方形模板（分层探究）

正方形模板（分层探究）
几何画板及绘图内容加载中，请稍等……
2016-09-19 08:31
多边形解析几何几何作图
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 Unit 7: Polygons and Quadrilaterals
①本范例演示正方形的几何属性与构造方法；②涉及核心数学概念包括正方形性质、坐标几何、几何作图；③作图要点：使用 GeoGebra 命令 Segment（线段）、Circle（圆）、OrthogonalLine（垂线）、Intersect（交点）、Angle（角度）、Midpoint（中点）、Polygon（多边形）、Mirror（镜像）；④适合初中及以上学生用于辅助理解正方形相关定理与作图技巧，也可用于特殊教育场景。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. OrthogonalLine(A, a) → b
  4. Intersect(c, b, 2) → D
  5. OrthogonalLine(D, b) → d
  6. OrthogonalLine(B, a) → e
  7. Intersect(d, e) → C
  8. Segment(A, D) → f
  9. Segment(D, C) → g
  10. Segment(C, B) → h
  11. Angle(C, B, A) → α
  12. Angle(B, A, D) → β
  13. Angle(A, D, C) → γ
  14. Angle(D, C, B) → δ
  15. Midpoint(A, C) → E
  16. Segment(A, E) → i
  17. Segment(E, C) → j
  18. Segment(E, B) → k
  19. Segment(E, D) → l
  20. Angle(E, C, B) → ε
  21. Angle(D, C, E) → ζ
  22. Angle(E, D, C) → η
  23. Angle(A, D, E) → θ
  24. Angle(B, A, E) → ι
  25. Angle(E, B, A) → κ
  26. Angle(C, B, E) → λ
  27. Angle(E, A, D) → μ
  28. Angle(B, E, C) → ν
  29. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  30. Mirror(A, b_1) → A'
  31. Mirror(B, b_1) → B'
  32. Mirror(C, b_1) → C'
  33. Polygon(A', B', C') → poly1', c', a', b'
  34. Polygon(A, D, B) → poly2, b_2, a_2, d_1
  35. Mirror(A, k) → A'_1
  36. Mirror(D, k) → D'
  37. Mirror(B, k) → B'_1
  38. Polygon(A'_1, D', B'_1) → poly2', b'_1, a'_1, d'
  39. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2