特殊三角形及其性质（一）

GeoGebra 命令及参数

1. Circle(A, B) → c
2. Intersect(c, q) → O, P
3. CircleArc(A, O, P) → d
4. Point(d) → C
5. CircleArc(A, C, P) → e
6. Point(e) → D
7. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], C) → A'
8. Segment(A, A') → a
9. Angle(C, A, D) → α
10. Rotate(A, If[1 < j ≤ 2, ((j - 1) * α), α], A) → A'_1
11. Rotate(A', If[1 < j ≤ 2, ((j - 1) * α), α], A) → A''
12. Segment(A'_1, A'') → a'
13. Segment(A, C) → b
14. Segment(C, D) → f
15. Segment(D, A) → g
16. Midpoint(f) → E
17. Segment(A, E) → h
18. Midpoint(h) → F
19. Segment(A, F) → i
20. Segment(F, E) → k
21. Circle(A, (0.35 * i)) → p
22. Circle(E, (0.15 * Distance[D, E])) → r
23. Intersect(r, f, 2) → G
24. Intersect(r, h, 1) → H
25. Intersect(r, f, 1) → I
26. Intersect(p, b, 1) → J
27. Intersect(p, h, 1) → K
28. Intersect(p, g, 1) → L
29. CircleSector(A, K, L) → s
30. CircleSector(E, G, H) → t
31. Circle(A, B) → c_1
32. Dilate(C, If[2 < j ≤ 3, 3 - j, 0], D) → C'
33. Segment(C, C') → l
34. Polygon(C, D, A) → poly1, a_1, c_2, d_1
35. Circle(C, (0.2 * Distance[D, E])) → e_1
36. Intersect(e_1, b) → M,
37. Intersect(e_1, f) → N,
38. CircleSector(C, N, M) → f_1
39. Dilate(A, If[3 < j ≤ 4, 4 - j, 0], F) → A'_2
40. Segment(A, A'_2) → m
41. Rotate(s, If[4 < j ≤ 5, ((-(j - 4)) * α / 2), ((-α)) / 2], A) → s'
42. Dilate(F, If[5 < j ≤ 6, 6 - j, 0], E) → F'
43. Segment(F, F') → n
44. CircleArc(A, K, L) → g_1
45. Dilate(E, If[6 < j ≤ 7, 7 - j, 0], D) → E'
46. Segment(E, E') → b_1
47. Rotate(E, If[7 < j ≤ 8, ((j - 7) * π), 3.141592653589793], E) → E'_1
48. Rotate(E', If[7 < j ≤ 8, ((j - 7) * π), 3.141592653589793], E) → E''
49. Segment(E'_1, E'') → h_1
50. Rotate(t, If[8 < j ≤ 9, ((j - 8) * π / 2), 1.5707963267948966], E) → t'
51. CircleArc(E, G, H) → k_1
52. Dilate(C, If[9 < j ≤ 10, 10 - j, 0], D) → C'_1
53. Vector(C, C'_1) → u
54. Translate(f_1, u) → p_1
55. CircleArc(C, N, M) → q_1
56. Angle(E, C, A) → β
57. Rotate(p_1, If[10 < j ≤ 11, ((j - 10) * (π - β)), π - β], D) → r_1