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分数作为乘法比较

分数作为乘法比较
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2014-06-01 05:19
几何作图滑块动画
这个工具旨在帮助理解分数作为两个量之间的乘法比较。您可以调整金色和绿色线段的长度，通过动态变化观察分数如何表示一个量是另一个量的多少倍。核心数学概念包括分数、乘法比较。使用了Point、Polygon、If、Segment等GeoGebra命令。适合小学高年级或初中学生学习分数概念。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Polygon(A, B, C, D) → GreenBar, a, b, c, d
  3. Point(yAxis) → E
  4. Point(yAxis) → F
  5. Polygon(E, F, G, H) → GoldBar, e, f, g, h
  6. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[2 < ceil(GreenLength / GoldLength) + 1, Segment[((2 * GoldLength), 0), ((2 * GoldLength), 1)]]]) → GreenLine2
  7. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[3 < ceil(GreenLength / GoldLength) + 1, Segment[((3 * GoldLength), 0), ((3 * GoldLength), 1)]]]) → GreenLine3
  8. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[4 < ceil(GreenLength / GoldLength) + 1, Segment[((4 * GoldLength), 0), ((4 * GoldLength), 1)]]]) → GreenLine4
  9. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[5 < ceil(GreenLength / GoldLength) + 1, Segment[((5 * GoldLength), 0), ((5 * GoldLength), 1)]]]) → GreenLine5
  10. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[6 < ceil(GreenLength / GoldLength) + 1, Segment[((6 * GoldLength), 0), ((6 * GoldLength), 1)]]]) → GreenLine6
  11. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[7 < ceil(GreenLength / GoldLength) + 1, Segment[((7 * GoldLength), 0), ((7 * GoldLength), 1)]]]) → GreenLine7
  12. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[8 < ceil(GreenLength / GoldLength) + 1, Segment[((8 * GoldLength), 0), ((8 * GoldLength), 1)]]]) → GreenLine8
  13. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[9 < ceil(GreenLength / GoldLength) + 1, Segment[((9 * GoldLength), 0), ((9 * GoldLength), 1)]]]) → GreenLine9
  14. If(GoldLength > GreenLength, If[GreenLength ≥ 1, Segment[(GreenLength, 0), (GreenLength, 3)]]) → GoldLine1
  15. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[3 < ceil(GoldLength / GreenLength) + 1, Segment[((3 * GreenLength), 2), ((3 * GreenLength), 3)]]]) → GoldLine3
  16. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[5 < ceil(GoldLength / GreenLength) + 1, Segment[((5 * GreenLength), 2), ((5 * GreenLength), 3)]]]) → GoldLine5
  17. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[7 < ceil(GoldLength / GreenLength) + 1, Segment[((7 * GreenLength), 2), ((7 * GreenLength), 3)]]]) → GoldLine7
  18. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[2 < ceil(GoldLength / GreenLength) + 1, Segment[((2 * GreenLength), 2), ((2 * GreenLength), 3)]]]) → GoldLine2
  19. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[10 < ceil(GoldLength / GreenLength) + 1, Segment[((10 * GreenLength), 2), ((10 * GreenLength), 3)]]]) → GoldLine10
  20. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[4 < ceil(GoldLength / GreenLength) + 1, Segment[((4 * GreenLength), 2), ((4 * GreenLength), 3)]]]) → GoldLine4
  21. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[6 < ceil(GoldLength / GreenLength) + 1, Segment[((6 * GreenLength), 2), ((6 * GreenLength), 3)]]]) → GoldLine6
  22. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[8 < ceil(GoldLength / GreenLength) + 1, Segment[((8 * GreenLength), 2), ((8 * GreenLength), 3)]]]) → GoldLine8
  23. If(GoldLength > GreenLength, If[GreenLength ≥ 1, If[9 < ceil(GoldLength / GreenLength) + 1, Segment[((9 * GreenLength), 2), ((9 * GreenLength), 3)]]]) → GoldLine9
  24. If(GoldLength < GreenLength, If[GoldLength ≥ 1, If[10 < ceil(GreenLength / GoldLength) + 1, Segment[((10 * GoldLength), 0), ((10 * GoldLength), 1)]]]) → GreenLine10
  25. If(GoldLength ≤ GreenLength, If[GoldLength ≥ 1, Segment[(GoldLength, 0), (GoldLength, 3)]]) → GreenLine1
  26. Segment((0, 1.5), (10, 1.5)) → ruler12
  27. Segment((0, 1.4), (0, 1.6)) → ruler10
  28. Segment((1, 1.4), (1, 1.6)) → ruler11
  29. Segment((2, 1.4), (2, 1.6)) → ruler1
  30. Segment((3, 1.4), (3, 1.6)) → ruler2
  31. Segment((4, 1.4), (4, 1.6)) → ruler3
  32. Segment((5, 1.4), (5, 1.6)) → ruler4
  33. Segment((6, 1.4), (6, 1.6)) → ruler5
  34. Segment((7, 1.4), (7, 1.6)) → ruler6
  35. Segment((8, 1.4), (8, 1.6)) → ruler7
  36. Segment((9, 1.4), (9, 1.6)) → ruler8
  37. Segment((10, 1.4), (10, 1.6)) → ruler9
  38. Segment((0, 3.2), (0, 3.4)) → k
  39. Segment((0, 3.3), (GoldLength, 3.3)) → i
  40. Segment((GoldLength, 3.2), (GoldLength, 3.4)) → l
  41. Segment((0, -0.3), (GreenLength, (-0.3))) → m
  42. Segment((0, -0.2), (0, -0.4)) → p
  43. Segment((GreenLength, (-0.2)), (GreenLength, (-0.4))) → q

AI 绘图提示语参考

画一个几何图形，包含一个绿色的长方形和一个金色的长方形。调整金色长方形的长度，观察它与绿色长方形的比例关系。在绿色长方形下方画一条水平线，上面标出1到10的刻度。在金色长方形上方画一条水平线，根据其长度标出相应的刻度。根据比例关系，在绿色长方形和金色长方形之间画出若干条线段，表示它们的倍数关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。