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等价分数 by mathspace

等价分数 by mathspace
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2016-02-28 18:57
函数数列几何作图
这个范例演示了等价分数的概念。通过构造分数的几何表示，学生可以直观地理解分数的等价性。使用了GCD、Point、Segment等GeoGebra命令，适合小学高年级和初中学生学习分数的基本概念。

GeoGebra 命令及参数

  1. Random(2, 12) → denom_1
  2. Random(1, denom_1 - 1) → numer_1
  3. GCD(numer_1, denom_1) → t
  4. Point(xAxis) → B
  5. Segment(B, A) → a
  6. Point(a) → C
  7. Circle(C, 4) → d
  8. Sequence(m, m, 1, denom - 1, 1) → list3, {1, 2, 3, 4, 5, 6, 7, 8, 9}
  9. Sequence(Segment[C, C + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom) → list2, {4, 4.000000000000001, 3.9999999999999996, 4, 4, 4, 3.9999999999999996, 3.9999999999999996, 4, 4.000000000000001, 4}
  10. Sector(d, 0, ((numer * 360) * ° / denom)) → e
  11. Random(2, ceil(24 / denom)) → mult
  12. Translate(d, Vector[B, (f, 0)]) → d'_1
  13. Vector(B, (f, 0)) → u
  14. Translate(e, u) → e'
  15. Translate(list2, u) → list2'
  16. Sequence(Segment[A, A + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / ((g * denom))) → list1, {4, 4.000000000000001, 3.9999999999999996, 4, 4.000000000000001, 4, 3.9999999999999996, 3.9999999999999996, 4, 4.000000000000001, 4}
  17. Sector(c, 0, (((g * numer) * 360) * ° / ((g * denom)))) → e_1