内切圆心的中点共轭与外接三角形的同位相似中心

GeoGebra 命令及参数

1. Line(A, B) → a
2. Line(B, C) → b
3. Line(C, A) → c
4. Incircle(A, B, C) → d
5. Center(d) → P
6. AngularBisector(a, c) → e, f
7. AngularBisector(b, c) → g, h
8. AngularBisector(b, a) → i, j
9. Intersect(e, h) → D
10. Intersect(e, g) → E
11. Intersect(f, g) → F
12. Intersect(d, a) → G, J
13. Intersect(d, c) → H, L
14. Intersect(d, b) → I, K
15. Polygon(A, B, C) → poly1, c_1, a_1, b_1
16. Line(D, G) → k
17. Line(H, E) → l
18. Line(F, I) → m
19. Intersect(k, l) → Q
20. Polygon(D, E, F) → poly2, f_1, d_1, e_1
21. Polygon(G, H, I) → poly3, i_1, g_1, h_1
22. Line(A, Q) → n
23. Line(B, Q) → p
24. Line(C, Q) → q
25. Intersect(q, a) → M
26. Intersect(p, c) → N
27. Intersect(b, n) → O
28. Line(A, P) → r
29. Line(B, P) → s
30. Line(C, P) → t
31. Intersect(t, a) → R
32. Intersect(r, b) → S
33. Intersect(s, c) → T
34. Mirror(T, P) → T'
35. Mirror(S, P) → S'
36. Mirror(R, P) → R'
37. Conic(R', S, T', R, S') → k_1