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筝形探索 by jebowman

筝形探索 by jebowman
几何画板及绘图内容加载中，请稍等……
2016-01-30 05:06
三角函数变换几何作图
这个范例演示了筝形的性质，涉及相似变换、勾股定理和分形几何。通过使用GeoGebra命令如Line、Point、Mirror、Segment等，可以动态探索筝形的对角线交点、距离和角度。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Line(VertAxis1, VertAxis2) → VerticalAxis
  2. Line(HorizAxis1, HorizAxis2) → HorizontalAxis
  3. Point(HorizontalAxis) → A
  4. Point(HorizontalAxis) → C
  5. Point(VerticalAxis) → B
  6. Mirror(B, HorizontalAxis) → B'
  7. Segment(B, A) → a
  8. Segment(B, C) → b
  9. Segment(A, B') → c
  10. Segment(C, B') → d
  11. Intersect(VerticalAxis, HorizontalAxis) → Diagonal_Intersection
  12. Distance(B, Diagonal_Intersection) → distanceBDiagonalIntersection
  13. Distance(B', Diagonal_Intersection) → distanceB'DiagonalIntersection
  14. Distance(A, Diagonal_Intersection) → distanceADiagonalIntersection
  15. Distance(C, Diagonal_Intersection) → distanceCDiagonalIntersection
  16. Segment(B, Diagonal_Intersection) → e
  17. Segment(B', Diagonal_Intersection) → f
  18. Segment(A, Diagonal_Intersection) → g
  19. Segment(C, Diagonal_Intersection) → h
  20. Angle(A, B, C) → α
  21. Angle(C, B', A) → β
  22. Angle(B', A, B) → γ
  23. Angle(B, C, B') → δ
  24. Angle(C, Diagonal_Intersection, B) → DiagonalsAngle