动画演示外接圆与相似变换

GeoGebra 命令及参数

1. Rotate(A, (a * π / 180), B) → A'
2. Angle(A, B, A') → α
3. Segment(A, B) → f
4. Ray(B, A') → g
5. Point(g) → C
6. Segment(C, A) → h
7. Rotate(A, α / 2, B) → A'_1
8. Angle(A, B, A'_1) → β
9. Ray(B, A'_1) → i
10. Segment(B, C) → j
11. Min({f, j}) → b
12. Circle(B, (0.2 * b)) → c
13. Intersect(c, f) → D,
14. Intersect(c, i) → E,
15. CircleSector(B, D, E) → d
16. LineBisector(f) → k
17. LineBisector(j) → l
18. Intersect(l, k) → O
19. Circle(O, C) → e
20. Dilate(O, If[0 < m ≤ 1, 1 - m, 0], C) → F'
21. Segment(O, F') → n
22. Rotate(C, If[1 < m ≤ 3, ((m - 1) * π), (2 * π)], O) → C'
23. CircleArc(O, C, C') → p
24. Rotate(C, If[1 < m ≤ 3, ((m - 1) * π), (2 * π)], O) → C'_1
25. Rotate(O, If[1 < m ≤ 3, ((m - 1) * π), (2 * π)], O) → F'_1
26. Rotate(F', If[1 < m ≤ 3, ((m - 1) * π), (2 * π)], O) → F''
27. Segment(F'_1, F'') → n'
28. Intersect(e, i) → G, H
29. OrthogonalLine(O, f) → q
30. Intersect(i, q) → I
31. Intersect(f, q) → F
32. OrthogonalLine(O, j) → r
33. Intersect(j, r) → J
34. Intersect(r, i) → K
35. Distance(B, K) → distanceBK
36. Distance(H, I) → distanceHI
37. Dilate(B, If[4 < m ≤ 5, 5 - m, 0], I) → B'
38. Segment(B, B') → s
39. Intersect(c, f, 1) → L
40. Rotate(L, If[5 < m ≤ 6, ((m - 5) * β), β], B) → L'
41. CircleSector(B, L, L') → t
42. Rotate(d, If[7 < m ≤ 8, ((m - 7) * β), β], B) → d'
43. Angle(O, J, C) → γ
44. Angle(O, F, B) → δ
45. Dilate(I, If[5 < m ≤ 6, 6 - m, 0], K) → I'
46. Segment(I, I') → f_1
47. Dilate(O, If[8 < m ≤ 9, 9 - m, 0], I) → O'
48. Segment(O, O') → g_1
49. Dilate(I, If[9 < m ≤ 10, 10 - m, 0], F) → I'_1
50. Segment(I, I'_1) → h_1
51. Dilate(O, If[10 < m ≤ 11, 11 - m, 0], K) → O'_1
52. Dilate(O, If[10 < m ≤ 11, 11 - m, 0], J) → O'_2
53. Segment(O, O'_1) → i_1
54. Segment(O, O'_2) → j_1
55. Segment(B, I) → k_1
56. Dilate(K, If[6 < m ≤ 7, 7 - m, 0], H) → K'
57. Segment(K, K') → l_1
58. Midpoint(I, K) → M
59. Rotate(B, If[11.5 < m ≤ 12.5, ((-(m - 11.5)) * π), (-π)], M) → B'_1
60. Rotate(I, If[11.5 < m ≤ 12.5, ((-(m - 11.5)) * π), (-π)], M) → I'_2
61. Segment(B'_1, I'_2) → m_1
62. Circle(O, C) → ee
63. Polygon(B, A, C) → poly1, c_1, b_1, a_1