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梯形构造与性质演示 by Melissa Patti

梯形构造与性质演示 by Melissa Patti
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2015-10-30 07:32
多边形角解析几何几何作图
①本范例通过 GeoGebra 动态演示梯形的构造及其几何性质；②涉及核心数学概念包括多边形、角、线段长度、中点、角平分线、反射等；③作图要点运用了 Line, Segment, Point, Polygon, LineBisector, Intersect, Mirror, Distance, Midpoint, Angle 等命令与对象；④适合高中数学几何教学，用于理解梯形的基本属性和变换。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, C) → c
  4. Point(b) → D
  5. Segment(B, D) → d
  6. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  7. Segment(E, F) → e
  8. Line(G, e) → f
  9. LineBisector(e) → g
  10. Intersect(g, e) → H
  11. Point(f) → I
  12. Segment(E, I) → h
  13. Mirror(E, g) → E'
  14. Mirror(I, g) → I'
  15. Segment(E', I') → h'
  16. Polygon(E, F, I', I) → poly2, e_1, f_1, i', i
  17. Distance(E, I) → distanceEI
  18. Midpoint(E, I) →
  19. Distance(F, I') → distanceFI'
  20. Midpoint(F, I') →
  21. Segment(E, I') → j
  22. Segment(F, I) → k
  23. Distance(E, I') → distanceEI'
  24. Midpoint(E, I') →
  25. Distance(F, I) → distanceFI
  26. Midpoint(F, I) →
  27. Angle(I, E, F) → α
  28. Angle(E, F, I') → β
  29. Angle(F, I', I) → γ
  30. Angle(I', I, E) → δ
  31. Intersect(j, k) → J
  32. Distance(E, J) → distanceEJ
  33. Midpoint(E, J) →
  34. Distance(J, I') → distanceJI'
  35. Midpoint(J, I') →
  36. Distance(F, J) → distanceFJ
  37. Midpoint(F, J) →
  38. Distance(J, I) → distanceJI
  39. Midpoint(J, I) →
  40. Angle(C, A, B) → ε
  41. Angle(A, B, D) → ζ
  42. Angle(B, D, C) → η
  43. Angle(D, C, A) → θ