相切圆族：GeoGebra 动态构造与探索

GeoGebra 命令及参数

1. Circle(P, 12) → c
2. Point(c) → O_0
3. Circle(O_0, 3) → d
4. Tangent(P, d) → f, g
5. Line(P, O_0) → h
6. Intersect(d, g) → B_0
7. Intersect(d, f) → A_0
8. Intersect(d, h) → T_0, C
9. Segment(O_0, A_0) → r_0
10. Segment(B_0, O_0) → i
11. Circle(T_0, 9 / 5) → e
12. Intersect(e, h) → O_1, B
13. Circle(O_1, T_0) → k
14. Intersect(k, f) → D, A_1
15. Intersect(k, g, 1) → B_1
16. Segment(O_1, A_1) → r_1
17. Segment(O_1, B_1) → l
18. Intersect(k, h) → A, T_1
19. Circle(T_1, 27 / 25) → p
20. Intersect(p, h) → O_2, F
21. Circle(O_2, T_1) → q
22. Intersect(q, g) → E, B_2
23. Intersect(q, f) → H, A_2
24. Segment(B_2, O_2) → j
25. Segment(A_2, O_2) → r_2
26. Polygon(A_2, T_1, A_1) → polígono1, a_1, a_2, t_1
27. Polygon(A_1, T_0, A_0) → polígono2, a_0, a_3, t_0
28. Dilate(A_2, enl, P) → K
29. Dilate(T_1, enl, P) → L
30. Dilate(A_1, enl, P) → M
31. Polygon(K, L, M) → polígono1', m_1, k_1, l_1
32. Angle(A_1, T_0, A_0) → α
33. Angle(K, L, M) → β
34. Angle(A_2, T_1, A_1) → γ