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分数大小

分数大小
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2019-11-25 01:51
这个范例演示了分数的大小关系。它涉及的核心数学概念包括分数、数字和算术平均值。通过使用GeoGebra命令如Sequence、Text、Midpoint等，可以构造出分数、数字和它们之间的关系。适合小学高年级和初中学生学习分数概念和比较大小。

GeoGebra 命令及参数

  1. Sequence(Element[fractions, i, 2], i, 1, Length[fractions]) → nums
  2. Sequence(Element[fractions, i, 3], i, 1, Length[fractions]) → denoms
  3. Sequence(Element[fractions, i, 1], i, 1, Length[fractions]) → wholes
  4. Text(1) → text1
  5. Text(2) → text2
  6. Text(3) → text3
  7. Text(4) → text4
  8. Text(5) → text5
  9. Text(6) → text6
  10. Text(7) → text7
  11. Text(8) → text8
  12. Text(9) → text9
  13. Midpoint(Corner[text1, 1], Corner[text1, 3]) → point1
  14. Midpoint(Corner[text2, 1], Corner[text2, 3]) → point2
  15. Midpoint(Corner[text3, 1], Corner[text3, 3]) → point3
  16. Midpoint(Corner[text4, 1], Corner[text4, 3]) → point4
  17. Midpoint(Corner[text5, 1], Corner[text5, 3]) → point5
  18. Midpoint(Corner[text6, 1], Corner[text6, 3]) → point6
  19. Midpoint(Corner[text7, 1], Corner[text7, 3]) → point7
  20. Midpoint(Corner[text8, 1], Corner[text8, 3]) → point8
  21. Midpoint(Corner[text9, 1], Corner[text9, 3]) → point9
  22. Polygon(WholePolyStarter, WholePolyStarter + (polySize, 0), 4) → wholePoly, f, g, h, i, A, B
  23. Polygon(NumPolyStarter, NumPolyStarter + (polySize, 0), 4) → numPoly, j, k, l, m, C, D
  24. Polygon(DenomPolyStarter, DenomPolyStarter + (polySize, 0), 4) → denomPoly, n, p, q, r, E, F
  25. Segment(Midpoint[Vertex[numPoly, 1], Vertex[denomPoly, 4]] - (polySize / 10, 0), Midpoint[Vertex[numPoly, 2], Vertex[denomPoly, 3]] + (polySize / 10, 0)) → fractionLine
  26. Point(Circle[FractionSegmentStarter, fractionSegmentLength]) → G
  27. Zip(AAA + BBB / CCC, AAA, wholes, BBB, nums, CCC, denoms) → fractionSizes
  28. Segment(FractionSegmentStarter, G) → fractionSegment
  29. Sequence(Point[{(i * 1.1) - 0.2, 0}], i, 0, 8) → textAnchors
  30. Sort(fractions, fractionSizes) → sortedFractions
  31. Sequence(Text[(((((("$" * Element[sortedFractions, i, 1]) * "\frac{") * Element[sortedFractions, i, 2]) * "}{") * Element[sortedFractions, i, 3]) * "}$"), FractionSegmentStarter + ((Element[Sort[fractionSizes], i] / 17 * fractionSegmentLength) - 0.2, -0.65 + (2.05 * IsInteger[i / 2])), false, true], i, 1, Length[fractions]) → l1
  32. Sequence(Vector[FractionSegmentStarter + ((Element[Sort[fractionSizes], i] / 17 * fractionSegmentLength), -0.7 + (1.3 * IsInteger[i / 2])), FractionSegmentStarter + ((Element[Sort[fractionSizes], i] / 17 * fractionSegmentLength), 0)], i, 1, Length[fractions]) → l2
  33. Ray(FractionSegmentStarter, FractionSegmentStarter + (1, 0)) → s

AI 绘图提示语参考

画一个展示分数关系的图形，包含多个分数、整数和它们的几何表示。用正方形表示整数和分数的分子、分母，通过线段连接分子和分母，并在下方按大小排序显示分数，用文本标注每个分数的具体值。
以上提示语为根据原始绘图命令整理而来，仅供参考。