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排序三个分数的分子

排序三个分数的分子
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2016-10-15 02:31
概率统计几何作图函数图像
①本范例演示如何通过 GeoGebra 对三个分数的分子进行排序；②涉及的核心数学概念包括分数比较、随机实验、圆与多边形构造；③作图要点：使用了 Shuffle（随机排序）、Element（元素选择）、LaTeX（公式渲染）、Circle（圆）、Polygon（多边形）、If（条件判断）、LCM（最小公倍数）等 GeoGebra 命令与对象；④适合初中数学教学，用于直观展示分数大小比较与几何表示。

GeoGebra 命令及参数

  1. Shuffle(nums) → numsshuffled
  2. Shuffle(factors) → factorsshuffled
  3. Element(factorsshuffled, 3) → factor3
  4. LaTeX(Text["\checkmark"]) → RightCheck
  5. LaTeX(Text["×"]) → WrongCheck
  6. Circle(Circ1Point, CircRadius) → Circ1Outline
  7. Circle(Circ2Point, Circ2Radius) → Circ2Outline
  8. Circle(Circ3Point, Circ2Radius) → Circ3Outline
  9. Shuffle(fraclocation) → fraclocationshuffled
  10. Circle(DragPoint1, MyRadius) → Drag1Area
  11. Circle(DragPoint2, MyRadius) → Drag2Area
  12. Circle(DragPoint3, MyRadius) → Drag3Area
  13. LaTeX(Text["<"]) → LT1
  14. LaTeX(Text["<"]) → LT2
  15. LaTeX(Text["\dfrac{" + num1 + "}{" + den1 + "}"]) → frac1display
  16. LaTeX(Text["\dfrac{" + num2 + "}{" + den2 + "}"]) → frac2display
  17. LaTeX(Text["\dfrac{" + num3 + "}{" + den3 + "}"]) → frac3display
  18. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  19. LaTeX(Text["\textbf{Your\ Fractions}"]) → YourFractions
  20. LaTeX(Text["\underbrace{\hspace{10cm}}"]) → LowerLeftBrace
  21. LaTeX(Text["\overbrace{\hspace{10cm}}"]) → UpperRightBrace
  22. LaTeX(Text["\underbrace{\hspace{10cm}}"]) → LowerRightBrace
  23. LaTeX(Text["\overbrace{\hspace{10cm}}"]) → UpperLeftBrace
  24. LaTeX(Text["\overbrace{\hspace{17cm}}"]) → UpperBrace
  25. LaTeX(Text["\underbrace{\hspace{17cm}}"]) → LowerBrace
  26. If(CircSpace1(DragPoint1), frac1display, If[CircSpace1(DragPoint2), frac2display, frac3display]) → circ1display
  27. If(CircSpace2(DragPoint1), frac1display, If[CircSpace2(DragPoint2), frac2display, frac3display]) → circ2display
  28. If(CircSpace3(DragPoint1), frac1display, If[CircSpace3(DragPoint2), frac2display, frac3display]) → circ3display
  29. LCM(LCM[num1, num2], num3) → commonnum
  30. RandomElement({2, 2, 2, 3, 3, 3, 4, 5}) → mult
  31. LaTeX(Text[max]) → MaxDisplay
  32. If(FirstAttempt, 3, Random[0, 2]) → denType
  33. LaTeX(Text["Using\ equivalent\ fractions,\ order\ the\ following\ rational\ numbers\ from\ least\ to\ greatest."]) → Instructions1
  34. LaTeX(Text["\textbf{Instructions\text{:}}\ Click\ and\ drag\ each\ rational\ number\ to\ the\ appropriate\ circle."]) → Instruction2