两弦夹角探究：你看到了什么？

GeoGebra 命令及参数

1. Circle(A, B) → c
2. Point(c) → C
3. Line(A, C) → a
4. Intersect(c, a) → D, E
5. Point(c) → J
6. Point(c) → K
7. Point(c) → L
8. Point(c) → M
9. Segment(J, K) → f
10. Segment(M, L) → g
11. Intersect(f, g) → N
12. CircleArc(A, M, J) → h
13. CircleArc(A, L, K) → k
14. Point(c) → F
15. Point(c) → G
16. Segment(F, J) → b
17. Segment(F, M) → d
18. Angle(M, F, J) → α
19. Angle(L, G, K) → β
20. Segment(G, L) → e
21. Segment(G, K) → i
22. Angle(L, N, K) → γ
23. Circle(F, 1.5) → p
24. Circle(G, 1.5) → q
25. Circle(N, 1.5) → r
26. Intersect(p, b) → H,
27. Intersect(p, d) → I,
28. Intersect(r, g) → O, P
29. Intersect(r, f) → Q, R
30. Intersect(q, i, 1) → S
31. Intersect(q, e, 1) → T
32. Vector(F, N) → u
33. Vector(G, N) → v
34. CircleSector(F, I, H) → s
35. CircleSector(G, T, S) → t
36. CircleSector(N, P, R) → c_1
37. Dilate(F, If[0 ≤ j ≤ 1, 1 - j, 0], N) → F'
38. Dilate(G, If[0 < j ≤ 2, 2 - j, 0], N) → G'
39. Vector(F, F') → w
40. Vector(G, G') → l
41. Translate(s, w) → s'
42. Translate(t, l) → t'
43. Translate(t, l) → t'_1
44. Line(F, f) → m
45. Intersect(p, m) → U, V
46. Angle(H, F, V) → δ
47. Rotate(s', If[0 < j ≤ 1, (j * δ), δ], F') → s''
48. Line(G, g) → n
49. Intersect(q, n) → W, Z
50. Angle(T, G, Z) → ε
51. Rotate(t'_1, If[1 < j ≤ 2, ((j - 1) * ε), ε], G') → d_1
52. CircleSector(N, O, Q) → e_1
53. CircleSector(N, P, R) → f_1