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矩形的性质 by Beverly Heigre

矩形的性质 by Beverly Heigre
几何画板及绘图内容加载中，请稍等……
2015-11-13 10:47
多边形解析几何几何作图
本范例演示矩形的性质，涉及几何作图和解析几何。通过构造矩形的边、对角线和角，使用GeoGebra命令如Segment、OrthogonalLine、Intersect等，展示了矩形的对边相等、对角线相等且互相平分等性质。适合初中及以上学生学习几何作图和解析几何。

GeoGebra 命令及参数

  1. Segment(A, C) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(C, a) → c
  4. Line(D, a) → d
  5. Intersect(b, d) → E
  6. Intersect(c, d) → F
  7. Segment(E, A) → e
  8. Segment(F, C) → f
  9. Segment(F, E) → g
  10. Angle(E, A, C) → α
  11. Angle(A, C, F) → β
  12. Angle(C, F, E) → γ
  13. Angle(F, E, A) → δ
  14. Distance(E, A) → distanceEA
  15. Distance(A, C) → distanceAC
  16. Distance(C, F) → distanceCF
  17. Distance(F, E) → distanceFE
  18. Slope(e) → m
  19. Slope(f) → m_1
  20. Slope(a) → m_2
  21. Slope(g) → m_3
  22. Segment(E, C) → l
  23. Segment(F, A) → n
  24. Intersect(l, n) → G
  25. Distance(A, G) → distanceAG
  26. Distance(G, F) → distanceGF
  27. Distance(C, G) → distanceCG
  28. Distance(G, E) → distanceGE
  29. Angle(A, G, E) → ε