角的倍角、平分与三等分探索

GeoGebra 命令及参数

1. Circle(A, 4) → c
2. Point(c) → C
3. Segment(A, C) → f
4. Point(c) → E
5. Segment(A, E) → h
6. Vector(A, E) → w
7. Vector(A, C) → a
8. Point(h) → O
9. Point(f) → P
10. CircleSector(A, O, P) → g
11. Circle(F, 3) → d
12. Point(d) → G
13. Line(F, G) → i
14. OrthogonalLine(F, i) → j
15. Intersect(d, i, 2) → H
16. Segment(G, H) → k
17. Intersect(d, j, 1) → I
18. Intersect(d, j, 2) → J
19. Segment(I, J) → l
20. Rotate(G, 30°, F) → G'
21. Angle(G, F, G') → α
22. Line(G', F) → m
23. Rotate(G', 30°, F) → G''
24. Angle(G', F, G'') → β
25. Line(G'', F) → n
26. OrthogonalLine(F, m) → p
27. OrthogonalLine(F, n) → q
28. Intersect(d, m, 2) → B
29. Segment(G', B) → r
30. Intersect(d, q, 2) → D
31. Intersect(d, q, 1) → K
32. Segment(D, K) → s
33. Intersect(d, p, 2) → L
34. Intersect(d, p, 1) → M
35. Segment(L, M) → t
36. Intersect(d, n, 2) → N
37. Segment(N, G'') → b
38. Point(w) → Q
39. Point(a) → R
40. CircleArc(A, Q, R) → e