正弦与余割函数的特殊性质

GeoGebra 命令及参数

1. CircleArc(B, A, J) → f_1
2. CircleArc(B, A, I) → p
3. Point(p) → C
4. Circle(B, A) → c
5. Intersect(f, h) → D
6. Ray(B, C) → i
7. CircleArc(B, I, A) → q
8. CircleArc(B, E, G) → e
9. Intersect(e, i, 1) → H
10. CircleSector(B, E, H) → k
11. Mirror(C, j) → C'
12. Mirror(H, j) → H'
13. Angle(E, B, H) → α
14. Dilate(B, If[0 < b ≤ 1, 1 - b, 0], D) → B'
15. Segment(B, B') → l
16. Angle(C, D, B) → β
17. Mirror(D, j) → D'
18. Mirror(C, j) → C'_1
19. Angle(B, D, C') → γ
20. Rotate(E, If[1 < b ≤ 2, ((b - 1) * α), α], B) → E'
21. Mirror(E', j) → E''
22. CircleSector(B, E, E') → r
23. CircleSector(B, E'', E) → s
24. Circle(B, 1) → d
25. Dilate(B, If[2 < b ≤ 3, 3 - b, 0], C) → B'_1
26. Dilate(B, If[2 < b ≤ 3, 3 - b, 0], C'_1) → B'_2
27. Segment(B, B'_1) → n
28. Segment(B, B'_2) → t
29. CircleArc(B, C', C) → c_1
30. CircleSector(B, C, C') → d_1
31. Polygon(B, D, C) → poly1, c_2, b_1, d_2
32. Polygon(B, C', D) → poly2, d_3, b_2, c'
33. Circle(B, A) → e_1
34. Dilate(D, If[1 < b ≤ 2, 2 - b, 0], C) → D'_1
35. Segment(D, D'_1) → m
36. Mirror(D'_1, y = 0) → K
37. Point(m) → L
38. Segment(L, K) → g_1