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分数转换演示

分数转换演示
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2017-12-16 17:45
函数几何作图滑块动画
①本范例演示了如何通过图形化方式将带分数与假分数进行相互转换；②涉及的核心数学概念包括分数的基本性质、带分数与假分数的定义及关系；③作图要点——从下方『构造摘要』提炼用到了 Sequence（数列）、CircleSector（扇形）等 GeoGebra 命令/对象；④适合初中数学教学，帮助学生直观理解分数转换过程。

GeoGebra 命令及参数

  1. Sequence((cos(((2 * π) * i / Denominator)), sin(((2 * π) * i / Denominator)) + 2), i, 1, Denominator) → rpts1
  2. Sequence((cos(((2 * π) * i / Denominator)) + 3, sin(((2 * π) * i / Denominator)) + 2), i, 1, Denominator) → rpts2
  3. Sequence((cos(((2 * π) * i / Denominator)) + 6, sin(((2 * π) * i / Denominator)) + 2), i, 1, Denominator) → rpts3
  4. Sequence((cos(((2 * π) * i / Denominator)) + 9, sin(((2 * π) * i / Denominator)) + 2), i, 1, Denominator) → rpts4
  5. Sequence((cos(((2 * π) * i / Denominator)) + 12, sin(((2 * π) * i / Denominator)) + 2), i, 1, Denominator) → rpts5
  6. Sequence(Segment[Element[rpts1, i], R1], i, 1, Denominator) → rseg1
  7. Sequence(Segment[Element[rpts2, i], R2], i, 1, Denominator) → rseg2
  8. Sequence(Segment[Element[rpts3, i], R3], i, 1, Denominator) → rseg3
  9. Sequence(Segment[Element[rpts4, i], R4], i, 1, Denominator) → rseg4
  10. Sequence(Segment[Element[rpts5, i], R5], i, 1, Denominator) → rseg5
  11. CircleSector(R1, Element[rpts1, 1], Element[rpts1, Numerator - (Denominator * floor(Numerator / Denominator)) + 1]) → rsec1
  12. CircleSector(R2, Element[rpts2, 1], Element[rpts2, Numerator - (Denominator * floor(Numerator / Denominator)) + 1]) → rsec2
  13. CircleSector(R3, Element[rpts3, 1], Element[rpts3, Numerator - (Denominator * floor(Numerator / Denominator)) + 1]) → rsec3
  14. CircleSector(R4, Element[rpts4, 1], Element[rpts4, Numerator - (Denominator * floor(Numerator / Denominator)) + 1]) → rsec4
  15. CircleSector(R5, Element[rpts5, 1], Element[rpts5, Numerator - (Denominator * floor(Numerator / Denominator)) + 1]) → rsec5