平行四边形探究-PSG

平行四边形探究-PSG
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2015-12-05 04:10
本范例演示平行四边形的性质探究。核心数学概念包括几何作图、角度、线段。通过使用GeoGebra命令如Line、Intersect、Polygon等,可以动态地构造和分析平行四边形。适合初中及以上学生或教师教学使用。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(A, C) → c
  4. Line(B, c) → d
  5. Intersect(b, d) → D
  6. Polygon(C, A, B, D) → poly1, c_1, a_1, b_1, d_1
  7. Segment(A, D) → AD
  8. Segment(C, B) → CB
  9. Segment(C, D) → CD
  10. Segment(D, B) → DB
  11. Segment(B, A) → BA
  12. Segment(A, C) → AC
  13. Segment(D, A) → g
  14. Segment(C, B) → h
  15. Angle(g, h) → α
  16. Segment(A, D) → j
  17. Segment(C, B) → k
  18. Angle(B, A, D) → β
  19. Angle(D, A, C) → γ
  20. Angle(A, C, B) → δ
  21. Angle(B, C, D) → ε
  22. Angle(C, D, A) → ζ
  23. Angle(A, D, B) → η
  24. Angle(D, B, C) → θ
  25. Angle(C, B, A) → ι
  26. Intersect(j, k) → E
  27. Segment(E, C) → EC
  28. Segment(E, D) → ED
  29. Segment(E, B) → EB
  30. Segment(E, A) → EA
  31. Line(C, A) → n
  32. Line(A, B) → p
  33. Line(B, D) → q
  34. Line(D, C) → r
  35. Polygon(F, G, H, I) → poly2, f_1, g_1, h_1, i_1
  36. Angle(poly1) → κ, λ, μ, ν