积极 AI Logo 积极 AI

平行四边形测量 by Brittany Wilson

平行四边形测量 by Brittany Wilson
几何画板及绘图内容加载中，请稍等……
2015-10-15 04:07
多边形角向量几何作图
①本范例演示平行四边形边长、角度及对角线之间的关系；②涉及核心数学概念包括平行四边形性质、向量、角度测量、距离计算；③作图要点：使用Line、Point、Intersect、Polygon、Angle、Distance、Segment等GeoGebra命令构建图形并测量相关属性；④适合初中及以上学生学习平行四边形几何性质及向量应用。

GeoGebra 命令及参数

  1. Line(l, A) → a
  2. Line(C, a) → b
  3. Point(b) → B
  4. Line(A, B) → c
  5. Line(C, c) → d
  6. Intersect(a, d) → D
  7. Polygon(D, A, B, C) → poly1, e, b_1, d_1, c_1
  8. Angle(D, A, B) → α
  9. Angle(A, B, C) → β
  10. Angle(B, C, D) → γ
  11. Angle(C, D, A) → δ
  12. Distance(A, B) → distanceAB
  13. Distance(B, C) → distanceBC
  14. Distance(C, D) → distanceCD
  15. Distance(D, A) → distanceDA
  16. Segment(A, C) → f
  17. Segment(B, D) → g
  18. Distance(A, C) → distanceAC
  19. Distance(D, B) → distanceDB
  20. Intersect(f, g) → E
  21. Distance(A, E) → distanceAE
  22. Distance(E, C) → distanceEC
  23. Distance(D, E) → distanceDE
  24. Distance(E, B) → distanceEB
  25. Angle(A, E, D) → ε
  26. Angle(B, E, A) → ζ
  27. Angle(C, E, B) → η
  28. Angle(D, E, C) → θ
  29. Angle(E, A, B) → ι
  30. Angle(A, B, E) → κ
  31. Angle(E, B, C) → λ
  32. Angle(E, C, D) → μ
  33. Angle(C, D, E) → ν
  34. Angle(E, D, A) → ξ
  35. Angle(B, C, E) → ο
  36. Angle(D, A, E) → ρ
  37. Angle(E, A, B) → σ
  38. Angle(D, A, E) → τ
  39. Angle(E, C, D) → υ
  40. Angle(B, C, E) → ϕ