风筝形几何作图与期望值计算

风筝形几何作图与期望值计算
几何画板及绘图内容加载中,请稍等……
2017-09-29 00:56
①本范例演示风筝形的几何构造及其相关属性计算;②涉及核心数学概念包括几何作图、解析几何、面积计算、参数方程及期望值;③作图要点运用了线段、圆、交点、距离、角度、中点等 GeoGebra 命令;④适合高中数学教学,用于理解复杂图形的构造与数学应用。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Circle(C, A) → c
  4. Circle(B, A) → d
  5. Intersect(c, d, 2) → D
  6. Segment(B, D) → h
  7. Segment(C, D) → i
  8. Distance(A, B) → distanceAB
  9. Distance(B, D) → distanceBD
  10. Distance(A, C) → distanceAC
  11. Distance(D, C) → distanceDC
  12. Angle(C, A, B) → α
  13. Angle(A, B, D) → β
  14. Angle(B, D, C) → γ
  15. Angle(D, C, A) → δ
  16. Segment(A, D) → j
  17. Segment(B, C) → k
  18. Intersect(j, k) → E
  19. Angle(A, E, B) → ε
  20. Angle(D, E, C) → ζ
  21. Distance(A, E) → distanceAE
  22. Midpoint(A, E) →
  23. Distance(E, D) → distanceED
  24. Midpoint(E, D) →
  25. Distance(B, E) → distanceBE
  26. Midpoint(B, E) →
  27. Distance(E, C) → distanceEC
  28. Midpoint(E, C) →