内接四边形的米克尔点：正交圆与中点构型

GeoGebra 命令及参数

1. Circle(A, 1) → c
2. Point(c) → B
3. Point(c) → C
4. Point(c) → D
5. Point(c) → E
6. Line(B, C) → f
7. Line(B, D) → g
8. Line(D, E) → h
9. Line(C, E) → i
10. Intersect(f, h) → F
11. Intersect(g, i) → G
12. Segment(F, G) → j
13. Midpoint(F, G) → H
14. Circle(E, D, G) → d
15. Circle(C, E, F) → e
16. Circle(B, C, G) → p
17. Circle(F, D, B) → q
18. OrthogonalLine(A, j) → a
19. Intersect(c, a, 1) → O
20. Intersect(a, j) → L
21. Point(c) → I
22. Line(I, F) → k
23. Line(I, G) → l
24. Intersect(c, k, 2) → J
25. Line(J, G) → m
26. Intersect(c, l, 2) → K
27. Line(K, F) → n
28. Intersect(n, m) → M
29. Polygon(I, K, L) → t3, l_3, i_1, k_1
30. Polygon(J, M, L) → t4, l_4, j_1, m_1
31. Circle(F, J, M) → r
32. Circle(F, I, K) → s
33. Circle(G, M, K) → t
34. Circle(G, J, I) → c_1
35. Intersect(c, a, 2) → N
36. Angle(G, L, N) → α
37. Circle(H, G) → d_1
38. Segment(J, H) → f_1
39. Segment(J, A) → g_1