三角函数与圆的几何关系

GeoGebra 命令及参数

1. Circle((0, 0), 1) → c
2. Point(c) → A
3. Segment((0, 0), A) → a
4. Line((0, 0), (1, 0)) → b
5. Line((0, 0), (0, 1)) → d
6. Tangent(A, c) → e,
7. Intersect(d, e) → B
8. Intersect(b, e) → C
9. OrthogonalLine(A, b) → f
10. OrthogonalLine(A, d) → g
11. Intersect(d, g) → D
12. Intersect(b, f) → E
13. Intersect(c, d, 2) → F
14. Intersect(c, b, 2) → G
15. Angle(b, a) → θ
16. Segment(A, E) → h
17. Intersect(b, d) → H
18. Segment(D, H) → i
19. Segment(A, D) → j
20. Segment(E, H) → k
21. Translate(C, (0, -0.3)) → C'
22. Translate(H, (0, -0.3)) → H'
23. Segment(H', C') → l
24. Segment(H, H') → m
25. Segment(C, C') → n
26. Translate(H, (-0.3, 0)) → H'_1
27. Translate(B, (-0.3, 0)) → B'
28. Segment(B', H'_1) → p
29. Segment(B, B') → q
30. Segment(H, H'_1) → r
31. Segment(E, G) → s
32. Segment(G, C) → t
33. Segment(A, C) → a_1
34. Segment(A, B) → b_1
35. Segment(B, F) → c_1
36. Segment(F, D) → d_1