三角形与圆的动态关系演示

GeoGebra 命令及参数

1. Circle(A, B) → c
2. Point(c) → C
3. Line(C, A) → f
4. Intersect(c, f, 2) → D
5. Rotate(D, ((-a) * π / 180), C) → D'
6. Ray(C, D') → g
7. Point(g) → E
8. Midpoint(D, E) → F
9. Line(F, D) → i
10. OrthogonalLine(D, i) → j
11. Intersect(c, j) → J, K
12. CircleArc(A, K, D) → k
13. Angle(D, C, D') → α
14. Circle(F, E) → d
15. Point(k) → G
16. CircleArc(A, C, D) → e
17. Ray(D, G) → h
18. Intersect(d, h, 2) → H
19. Midpoint(C, E) → I
20. Distance(G, I) → distanceGI
21. Distance(H, I) → distanceHI
22. Polygon(C, E, D) → poly1, d_1, c_1, e_1
23. Intersect(d, h) → L, M
24. Distance(I, G) → distanceIG
25. Distance(I, L) → distanceIL
26. Segment(D, E) → l
27. Dilate(C, If[0 < b ≤ 1, 1 - b, 0], I) → C'
28. Segment(C, C') → m
29. Rotate(C, If[1 < b ≤ 2, ((-(b - 1)) * π), (-π)], I) → C'_1
30. Rotate(C', If[1 < b ≤ 2, ((-(b - 1)) * π), (-π)], I) → C''
31. Segment(C'_1, C'') → m'
32. Dilate(D, If[2 < b ≤ 3, 3 - b, 0], G) → D'_1
33. Dilate(G, If[3 < b ≤ 4, 4 - b, 0], L) → G'
34. Segment(D, D'_1) → n
35. Segment(G, G') → p
36. Line(D, G) → q
37. Intersect(d, q) → N, O
38. Distance(D, G) → o
39. Distance(D, O) → r
40. Dilate(D, If[2 < b ≤ 3, 3 - b, 0], L) → D'_2
41. Segment(D, D'_2) → s
42. Dilate(L, If[3 < b ≤ 4, 4 - b, 0], G) → L'
43. Segment(L, L') → t
44. Dilate(I, If[4 < b ≤ 5, 5 - b, 0], G) → I'
45. Segment(I, I') → f_1
46. Angle(L, I, G) → β
47. Rotate(I, If[5 < b ≤ 6, ((-(b - 5)) * β), (-β)], I) → I'_1
48. Rotate(I', If[5 < b ≤ 6, ((-(b - 5)) * β), (-β)], I) → I''
49. Segment(I'_1, I'') → g_1
50. Segment(C, D) → h_1