等弦所对弧相等：动态探究

GeoGebra 命令及参数

1. Circle(A, B) → c
2. Point(c) → C
3. Point(c) → D
4. Segment(C, D) → f
5. CircleArc(A, C, D) → d
6. Point(c) → E
7. Circle(E, f) → e
8. Intersect(c, e, 1) → F
9. Segment(E, F) → g
10. CircleArc(A, E, F) → h
11. Dilate(D, If[0 < a ≤ 1, 1 - a, 0], E) → D'
12. Vector(D, D') → u
13. Translate(C, u) → C'
14. Translate(D, u) → D'_1
15. Segment(C', D'_1) → f'
16. Line(E, f) → i
17. Point(i) → G
18. Angle(G, E, F) → α
19. Rotate(C', If[1 < a ≤ 2, ((-(a - 1)) * ((2 * π) - α)), (-((2 * π) - α))], E) → C''
20. Rotate(D'_1, If[1 < a ≤ 2, ((a - 1) * α), α], E) → H
21. Segment(C'', H) → f''
22. Angle(E, A, F) → β
23. Rotate(E, If[2 < a ≤ 3, ((a - 2) * β), β], A) → E'
24. CircleArc(A, E, E') → k