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用直线和圆比较分数

用直线和圆比较分数
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2017-10-30 14:19
圆几何作图
所属专题 Fraction Book Fraction Skills
这个范例通过直线和圆来比较分数。它展示了分数的基本概念，包括分子和分母。通过GeoGebra命令如Line, Point, Circle, Intersect等，可以构造出直观的图形来帮助理解分数的大小关系。适合小学高年级和初中学生使用。

GeoGebra 命令及参数

  1. Line(A, yAxis) → f
  2. Point(f) → B
  3. Point(f) → C
  4. Circle(B, linelength) → c
  5. Circle(C, linelength) → d
  6. OrthogonalLine(B, f) → g
  7. OrthogonalLine(C, f) → h
  8. Intersect(c, g, 1) → D
  9. Intersect(d, h, 1) → E
  10. Segment(B, D) → i
  11. Segment(C, E) → j
  12. Sequence(B + ((i * linelength / frac1denom), 0), i, 1, frac1denom) → frac1intervals
  13. Sequence(C + ((i * linelength / frac2denom), 0), i, 1, frac2denom) → frac2intervals
  14. Segment(B, B + ((frac1num * linelength / frac1denom), 0)) → frac1segment
  15. Segment(C, C + ((frac2num * linelength / frac2denom), 0)) → frac2segment
  16. Segment(F, G) → k
  17. Line(H, f) → l
  18. Point(l) → I
  19. Point(l) → J
  20. Circle(I, circlesize) → e
  21. Circle(J, circlesize) → p
  22. Intersect(e, l, 2) → K
  23. Intersect(p, l, 2) → L
  24. Segment(I, K) → m
  25. Segment(J, L) → n
  26. Sequence(Segment[Rotate[I, (i * angle1rotation), I], Rotate[K, (i * angle1rotation), I]], i, 1, frac1denom) → frac1wedges
  27. Sequence(Segment[Rotate[J, (i * angle2rotation), J], Rotate[L, (i * angle2rotation), J]], i, 1, frac2denom) → frac2wedges
  28. CircleSector(I, K, Rotate[K, (frac1num * angle1rotation), I]) → frac1Sector
  29. CircleSector(J, L, Rotate[L, (frac2num * angle2rotation), J]) → frac2Sector