等值分数可视化演示：随机生成与图形对照

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}
9. Sequence(Segment[C, C + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom) → list2, {4, 4, 3.9999999999999996, 3.9999999999999996, 3.9999999999999996, 4, 4, 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, 3.9999999999999996, 3.9999999999999996, 3.9999999999999996, 3.9999999999999996, 4, 4.000000000000001, 4}
17. Sector(c, 0, (((g * numer) * 360) * ° / ((g * denom)))) → e_1