三角形的特殊点

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, c, a, b
2. LineBisector(c) → d
3. LineBisector(b) → e
4. LineBisector(a) → f
5. Intersect(d, e) → O
6. AngularBisector(A, C, B) → g
7. AngularBisector(B, A, C) → h
8. AngularBisector(C, B, A) → i
9. Intersect(g, h) → I
10. Midpoint(a) → F
11. Midpoint(c) → G_1
12. Midpoint(b) → H_1
13. Line(G_1, C) → j
14. Line(H_1, B) → k
15. Line(A, F) → l
16. Intersect(j, k) → G
17. OrthogonalLine(A, a) → m
18. OrthogonalLine(C, c) → n
19. OrthogonalLine(B, b) → p
20. Intersect(m, n) → H
21. Circle(O, A) → r
22. Distance(I, b) → distanceEb
23. Circle(I, distanceEb) → s
24. Intersect(f, a) → K
25. Intersect(d, c) → L
26. Intersect(e, b) → M
27. Angle(O, K, B) → α
28. Angle(O, M, C) → β
29. Angle(O, L, A) → γ
30. Line(A, C) → q
31. Line(C, B) → t
32. Line(B, A) → a_1
33. Intersect(p, q) → N
34. Intersect(n, a_1) → P
35. Intersect(m, t) → Q
36. Angle(H, N, C) → δ
37. Angle(H, Q, B) → ε
38. Angle(H, P, A) → ζ
39. Angle(B, C, I) → η
40. Angle(I, C, A) → θ
41. Angle(C, A, I) → ι
42. Angle(I, A, B) → κ
43. Angle(A, B, I) → λ
44. Angle(I, B, C) → μ
45. Polygon(Q, N, P) → poly2, p_1, q_1, n_1
46. Distance(H, p_1) → distanceJp1
47. Intersect(l, a) → R
48. Intersect(k, b) → S
49. Intersect(j, c) → T
50. Segment(C, R) → b_1
51. Segment(R, B) → d_1
52. Segment(B, T) → e_1
53. Segment(T, A) → f_1
54. Segment(A, S) → g_1
55. Segment(S, C) → h_1
56. Segment(A, G) → i_1
57. Segment(G, F) → j_1
58. Segment(H_1, G) → k_1
59. Segment(G, B) → l_1
60. Segment(G_1, G) → m_1
61. Segment(G, C) → r_1
62. OrthogonalLine(H, p_1) → c_1
63. Intersect(c_1, p_1) → D
64. Circle(H, D) → s_1
65. Segment(H, O) → t_1