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整数倍数排序演示

整数倍数排序演示
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2016-06-24 02:12
解析几何最值优化
①本范例演示整数倍数的排序与分类；②涉及核心数学概念包括整数、倍数、线性方程、数列；③构造要点：使用 GeoGebra 命令 Random, LaTeX, Shuffle, Circle, Segment, 对象 LeftCircle, RightCircle, ShadeMiddle, ShadeLeft, ShadeRight, LeftCircleOutline, RightCircleOutline, button2, button1, ListOfMultiples1, MainNum1, MainNum2, ListOfMultiples2, MaxNum, NumberOfMultiples1, NumberOfMultiples2, Mod1, Mod2, Rand1, Rand2, Rand3, Rand4, Rand5, Rand6, CombinedList, CommonMultiplesList, TextRand1, TextRand2, TextRand3, TextRand4, TextRand5, TextRand6, PreShufflePoint1, PreShufflePoint2, PreShufflePoint3, PreShufflePoint4, PreShufflePoint5, PreShufflePoint6, ListOfPoints, ShuffledListOfPoints；④适合初中及以上学生，用于理解倍数关系和排序算法。

GeoGebra 命令及参数

  1. Random(2, 12) → MainNum1
  2. Random(2, 12) → MainNum2
  3. LaTeX(Text[Rand1]) → TextRand1
  4. LaTeX(Text[Rand2]) → TextRand2
  5. LaTeX(Text[Rand3]) → TextRand3
  6. LaTeX(Text[Rand4]) → TextRand4
  7. LaTeX(Text[Rand5]) → TextRand5
  8. LaTeX(Text[Rand6]) → TextRand6
  9. Shuffle(ListOfPoints) → ShuffledListOfPoints, {(7.5, 3.5), (9, 3.5), (7.5, 2.5), (9, 2.5), (10.5, 3.5), (10.5, 2.5)}
  10. Circle(Point1, 0.25) → DragArea1
  11. Circle(Point2, 0.25) → DragArea2
  12. Circle(Point3, 0.25) → DragArea3
  13. Circle(Point4, 0.25) → DragArea4
  14. Circle(Point5, 0.25) → DragArea5
  15. Circle(Point6, 0.25) → DragArea6
  16. LaTeX(Text["\checkmark"]) → RightCheck
  17. LaTeX(Text["×"]) → WrongCheck
  18. LaTeX(Text[("Multiples\\\,\\\,\,\,\,\,of\,\," * MainNum1)]) → TextLeftCircle
  19. LaTeX(Text[("Multiples\\\,\\\,\,\,\,\,of\,\," * MainNum2)]) → TextRightCircle
  20. Segment(A, B) → f
  21. Segment(C, D) → g
  22. Segment(D, A) → h
  23. Segment(C, B) → i
  24. Random(2, 12) → MainNum2_1
  25. LaTeX(Text["Multiples\\\,\\\,\,\,of\,both"]) → TextMiddleCircle