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正方形模板与探究问题 by Tim Brzezinski

正方形模板与探究问题 by Tim Brzezinski
几何画板及绘图内容加载中，请稍等……
2016-09-19 08:38
多边形角向量
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 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Unit 7: Polygons and Quadrilaterals Quadrilaterals
该范例展示了一个正方形，旨在帮助学生通过逐步探索发现正方形的独特性质。涉及的核心数学概念包括角度、向量和多边形。通过使用GeoGebra命令如Segment、Circle、Polygon等，可以构造正方形并进行几何作图。适合初中及以上学生使用。

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. Angle(E, C, B) → ε
  17. Angle(D, C, E) → ζ
  18. Angle(E, D, C) → η
  19. Angle(A, D, E) → θ
  20. Angle(B, A, E) → ι
  21. Angle(E, B, A) → κ
  22. Angle(C, B, E) → λ
  23. Angle(E, A, D) → μ
  24. Angle(B, E, C) → ν
  25. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2