正弦与余弦追踪活动：探索三角函数与几何作图

GeoGebra 命令及参数

1. Point({1, 0}) → A
2. Point({0, 0}) → B
3. Rotate(A, α, B) → A'
4. CircleArc(B, A, A') → d
5. Point({d, b}) → C
6. Point({d, 1}) → D
7. Point({g, b}) → E
8. Point({g, a}) → F
9. Vector(B, E) → u
10. Translate(G, u) → G'
11. Sequence(Segment[(((i * 2) * π / 36), -3), (((i * 2) * π / 36), -3 + sin((i * 10°)))], i, 1, α / (10°)) → list1
12. OrthogonalLine(A', xAxis) → k
13. Intersect(xAxis, k) → H
14. Segment(H, A') → l
15. Sequence(Segment[(cos((i * 10°)), 0), (cos((i * 10°)), sin((i * 10°)))], i, 1, α / (10°)) → list2
16. Vector(B, G) → v
17. Translate(E, v) → E'
18. Sequence(Segment[(((i * 2) * π / 36), -3), (((i * 2) * π / 36), -3 + cos((i * 10°)))], i, 1, α / (10°)) → list3
19. Sequence(Segment[(0, sin((i * 10°))), (cos((i * 10°)), sin((i * 10°)))], i, 1, α / (10°)) → list4
20. Translate(F, v) → F'
21. Sequence((((i * 2) * π / 36), -3), i, 1, 36) → list5
22. Sequence((cos(i), sin(i)), i, 0, 6.283185307179586, 0.17453292519943295) → list6