比较相同分子的分数

比较相同分子的分数
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2019-02-01 22:11
①本范例演示如何比较具有相同分子的分数的大小;②涉及的核心数学概念包括分数比较、几何直观和数形结合;③作图要点——从下方『构造摘要』提炼用到了RandomElement, If, Point, Circle, Sequence, Sector, Textfield, Segment, AttachCopyToView等GeoGebra命令/对象;④适合初中数学教学,用于帮助学生理解分数比较的几何意义。

GeoGebra 命令及参数

  1. RandomElement({11, 12, 13, 14, 15}) → D1
  2. If(D2 ≟ 1, D1, D1 + D2) → b
  3. Point(xAxis) → C
  4. Point(xAxis) → D
  5. Circle(C, D) → e
  6. Point(xAxis) → E
  7. Point(xAxis) → F
  8. Circle(E, F) → f
  9. Sequence(Rotate[D, (360° * i / D1), C], i, 1, D1) → list1
  10. Sequence(Segment[C, Element[list1, i]], i, 1, D1 + 1) → list2
  11. Sector(e, D, Element[list1, N1]) → g
  12. Sequence(Rotate[F, (360° * i / b), E], i, 1, b) → list3
  13. Sequence(Segment[E, Element[list3, i]], i, 1, b) → list4
  14. Circle(E, 1.3) → k
  15. Sector(f, F, Element[list3, New]) → h
  16. Textfield(D1) → InputBox1
  17. Textfield(N1) → InputBox2
  18. Textfield(Mul) → InputBox3
  19. Segment(Q, R) → j
  20. Segment(Q, R) → l
  21. Segment(S, T) → m
  22. AttachCopyToView(PolyLine[(12.2205876488494,-5.88921046287111), (NaN,NaN), (12.2205876488494,-5.88921046287111), true], 1, (-3.6253531256903755, -5.8892104628711035), (8.613381618872829, 4.292598364169786), (0, 948), (1140, 0)) → stroke1