三角形特殊点构造

GeoGebra 命令及参数

1. Polygon(H, J, L, Q) → peep, h_2, j_2, l_1, q_1
2. PointIn(peep) → A
3. PointIn(peep) → B
4. PointIn(peep) → C
5. Polygon(A, B, C) → poli1, c, a, b
6. LineBisector(c) → d
7. LineBisector(b) → e
8. LineBisector(a) → f
9. Intersect(d, f) → K
10. Angle(K, M, A) → α
11. AngularBisector(b, a) → h, i
12. AngularBisector(b, c) → j, k
13. AngularBisector(a, c) → l, m
14. Intersect(i, k) → I
15. Angle(I, B, A) → γ
16. Intersect(k, a) → D
17. OrthogonalLine(I, a) → p
18. Intersect(a, p) → E
19. Circle(I, E) → q
20. OrthogonalLine(C, c) → r
21. OrthogonalLine(A, a) → s
22. OrthogonalLine(B, b) → t
23. Intersect(t, s) → O
24. Intersect(b, t) → F
25. Angle(b, t) → δ
26. Segment(C, M) → a_1
27. Segment(B, P) → b_1
28. Segment(A, N) → c_1
29. Intersect(a_1, c_1) → G
30. Segment(A, M) → d_1
31. Segment(M, B) → e_1
32. Segment(B, N) → f_1
33. Segment(N, C) → g_1
34. Segment(C, P) → h_1
35. Segment(P, A) → i_1
36. Circle(K, C) → k_1
37. Line(K, G) → j_1
38. Angle(C, B, I) → β