Improper Fractions 几何作图与分数转换

Improper Fractions 几何作图与分数转换
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2016-10-15 02:55
这个范例演示了如何通过几何作图和分数转换来理解Improper Fractions。核心数学概念包括分数、几何图形和坐标几何。作图要点包括使用GeoGebra命令如Random、LaTeX、Shuffle、Element、Circle等来创建和展示分数相关的图形。适合初中或高中数学学习,用于练习分数转换和几何应用。

GeoGebra 命令及参数

  1. Random(1, 9) → impwhole3
  2. Random(2, maxden) → impden3
  3. Random(2, maxden) → den1
  4. Random(1, impden3 - 1) → impnum3
  5. LaTeX(Text["\dfrac{" + impropnum3 + "}{" + impden3 + "}"]) → impfrac3display
  6. Random(1, 9) → impwhole2
  7. Random(2, maxden) → impden2
  8. Random(1, impden2 - 1) → impnum2
  9. LaTeX(Text["\dfrac{" + impropnum2 + "}{" + impden2 + "}"]) → impfrac2display
  10. Random(1, 9) → impwhole1
  11. Random(2, maxden) → impden1
  12. Random(1, impden1 - 1) → impnum1
  13. LaTeX(Text["\dfrac{" + impropnum1 + "}{" + impden1 + "}"]) → impfrac1display
  14. Random(2, maxden) → propden3
  15. Random(1, propden3 - 1) → propnum3
  16. LaTeX(Text["\dfrac{" + propnum3 + "}{" + propden3 + "}"]) → propfrac3display
  17. Random(2, maxden) → propden2
  18. Random(1, propden2 - 1) → propnum2
  19. LaTeX(Text["\dfrac{" + propnum2 + "}{" + propden2 + "}"]) → propfrac2display
  20. Random(2, maxden) → propden1
  21. Random(1, propden1 - 1) → propnum1
  22. LaTeX(Text["\dfrac{" + propnum1 + "}{" + propden1 + "}"]) → propfrac1display
  23. Random(1, 9) → mixwhole3
  24. Random(2, maxden) → mixden3
  25. Random(1, mixden3 - 1) → mixnum3
  26. LaTeX(Text["" + mixwhole3 + "\dfrac{" + mixnum3 + "}{" + mixden3 + "}"]) → mixfrac3display
  27. Random(1, 9) → mixwhole2
  28. Random(2, maxden) → mixden2
  29. Random(1, mixden2 - 1) → mixnum2
  30. LaTeX(Text["" + mixwhole2 + "\dfrac{" + mixnum2 + "}{" + mixden2 + "}"]) → mixfrac2display
  31. Random(1, 9) → mixwhole1
  32. Random(2, maxden) → mixden1
  33. Random(1, mixden1 - 1) → mixnum1
  34. LaTeX(Text["" + mixwhole1 + "\dfrac{" + mixnum1 + "}{" + mixden1 + "}"]) → mixfrac1display
  35. Shuffle(ListPoints) → ListPointsShuffled, {(5, 5), (7, 5), (9, 5), (1, 5), (3, 5)}
  36. LaTeX(Text["\checkmark"]) → RightCheck
  37. LaTeX(Text["×"]) → WrongCheck
  38. Element(ListPointsShuffled, 1) → Point1
  39. Element(ListPointsShuffled, 2) → Point2
  40. Element(ListPointsShuffled, 3) → Point3
  41. Element(ListPointsShuffled, 4) → Point4
  42. Element(ListPointsShuffled, 5) → Point5
  43. Random(2, 60) → den2
  44. Circle(Point1, 0.75) → Circ1
  45. Circle(Point2, 0.75) → Circ2
  46. Circle(Point3, 0.75) → Circ3
  47. Circle(Point4, 0.75) → Circ4
  48. Circle(Point5, 0.75) → Circ5
  49. Circle(Point1, 0.75) → Circ1Outline
  50. Circle(Point2, 0.75) → Circ2Outline
  51. Circle(Point3, 0.75) → Circ3Outline
  52. Circle(Point4, 0.75) → Circ4Outline
  53. Circle(Point5, 0.75) → Circ5Outline
  54. Random(1, 9) → whole1
  55. Random(1, den1 - 1) → num1
  56. LaTeX(Text["\dfrac{" + impropnum11 + "}{" + den1 + "}"]) → frac1display
  57. Shuffle(PossibleFractions) → PossibleFractionsShuffled, {{1 / 2, "prop", 4, 2}, {21 / 10, "imp", 10, 21}, {54 / 7, "mix", 21, 15, 7}, {8 / 9, "prop", 9, 8}, {27 / 4, "mix", 4, 3, 6}, {51 / 22, "mix", 22, 7, 2}, {59 / 20, "imp", 20, 59}, {143 / 18, "imp", 18, 143}, {2 / 15, "prop", 15, 2}}
  58. Element(Element[PossibleFractionsShuffled, 1], 1) → frac2value
  59. Element(Element[PossibleFractionsShuffled, 2], 1) → frac3value
  60. Element(Element[PossibleFractionsShuffled, 3], 1) → frac4value
  61. Element(Element[PossibleFractionsShuffled, 4], 1) → frac5value
  62. Element(Element[PossibleFractionsShuffled, 1], 2) → frac2display
  63. Element(Element[PossibleFractionsShuffled, 2], 2) → frac3display
  64. Element(Element[PossibleFractionsShuffled, 3], 2) → frac4display
  65. Element(Element[PossibleFractionsShuffled, 4], 2) → frac5display
  66. LaTeX(Text["\textbf{Instructions\text{:}}\ To\ select\ a\ number,\ click\ inside\ the\ circle\ that\ surrounds\ it."]) → Instructions2
  67. LaTeX(Text["Select\ the\ numbers\ that\ have\ been\ represented\ with\ an\ improper\ fraction.\\Select\ all\ that\ apply."]) → Instructions1

AI 绘图提示语参考

画一个由五个圆组成的图形,圆心位于一条水平线上(y=5),圆心坐标分别为(5,5)、(7,5)、(9,5)、(1,5)、(3,5),每个圆的半径为0.75。同时,在图形中标注一些分数表达式,如\dfrac{a}{b},这些分数由随机生成的分子和分母构成。图形整体呈现几何构造的布局,用于展示分数与几何的关联。
以上提示语为根据原始绘图命令整理而来,仅供参考。