时空单位圆：三角函数几何可视化

GeoGebra 命令及参数

1. Point(yAxis) → B
2. Point(xAxis) → C
3. Point(yAxis) → A
4. Ray(A, B) → a
5. Ray(A, C) → b
6. OrthogonalLine(C, b) → d
7. Rotate(C, α, A) → C'
8. Ray(A, C') → e
9. Angle(C, A, Rotate[C, α, A]) → α_1
10. OrthogonalLine(C', b) → f
11. OrthogonalLine(C', a) → g
12. Intersect(g, a) → Ve
13. Intersect(f, b) → k
14. Segment(A, Ve) → sinus
15. Segment(A, k) → cosinus
16. Intersect(e, d) → Vi2
17. Segment(C, Vi2) → tangens
18. Intersect(f, g) → D
19. CircleArc(A, C, D) → Arc
20. Line(Vi2, b) → h
21. Segment(Ve, C') → i
22. Segment(C', k) → j
23. Point(Arc) → F
24. Midpoint(D, A) → J
25. Circle(J, A) → p
26. Ray(D, Vi2) → q
27. Point(d) → K
28. Segment(K, C) → r
29. Point(q) → L
30. Midpoint(Vi2, D) → M
31. Point(q) → O
32. Ray(A, Vi2) → a_1
33. Ray(A, Vi2) → k_1
34. Point(k_1) → E
35. Segment(D, Vi2) → exsec
36. Midpoint(D, A) → P
37. CircleArc(A, C, B) → c
38. Point(yAxis) → Q
39. Point(xAxis) → R
40. Midpoint(D, A) → S
41. Circle(S, D) → s
42. Segment(D, A) → secans