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等腰梯形性质探究

等腰梯形性质探究
几何画板及绘图内容加载中，请稍等……
2019-06-27 04:13
多边形角几何作图
①本范例演示等腰梯形的几何性质；②涉及核心概念包括等腰梯形的定义、对角线相等、底角相等；③作图要点：使用Circle（圆）、Line（线）、Intersect（交点）、Segment（线段）、Distance（距离）、Midpoint（中点）、Angle（角度）等命令构建图形；④适合高中阶段学生用于探究和验证等腰梯形的几何定理，加深对多边形性质的理解。

GeoGebra 命令及参数

  1. Circle(A_1, B) → c
  2. Circle(A_1, C) → d
  3. Line(A_1, B) → a
  4. Line(A_1, C) → b
  5. Intersect(c, b, 1) → A
  6. Segment(A, B) → e
  7. Intersect(d, a, 1) → D
  8. Segment(A, D) → f
  9. Segment(D, C) → g
  10. Segment(C, B) → h
  11. Distance(A, B) → distanceAB
  12. Midpoint(A, B) →
  13. Distance(B, C) → distanceBC
  14. Midpoint(B, C) →
  15. Distance(C, D) → distanceCD
  16. Midpoint(C, D) →
  17. Distance(A, D) → distanceAD
  18. Midpoint(A, D) →
  19. Angle(D, A, B) → α
  20. Angle(A, B, C) → β
  21. Angle(B, C, D) → γ
  22. Angle(C, D, A) → δ
  23. Segment(D, B) → k
  24. Segment(A, C) → l
  25. Distance(B, D) → distanceBD
  26. Midpoint(B, D) →
  27. Distance(A, C) → distanceAC
  28. Midpoint(A, C) →
  29. Intersect(k, l) → E
  30. Distance(A, E) → distanceAE
  31. Midpoint(A, E) →
  32. Distance(B, E) → distanceBE
  33. Midpoint(B, E) →
  34. Distance(C, E) → distanceCE
  35. Midpoint(C, E) →
  36. Distance(D, E) → distanceDE
  37. Midpoint(D, E) →
  38. Segment(A, C) → n
  39. Segment(B, D) → p
  40. Intersect(n, p) → F
  41. Angle(A, F, B) → ε
  42. Angle(B, F, C) → ζ
  43. Angle(A, D, F) → η
  44. Angle(F, D, C) → θ
  45. Angle(D, A, F) → ι
  46. Angle(F, A, B) → κ
  47. Angle(A, B, F) → λ
  48. Angle(F, B, C) → μ
  49. Angle(B, C, F) → ν
  50. Angle(D, C, F) → ξ