正方形对角线上的中线

GeoGebra 命令及参数

1. Circle(A, B, C) → e
2. Point(e) → D
3. Polygon(A, B, C, D) → v1, a, b, c, d
4. Segment(D, B) → f
5. Segment(A, C) → g
6. Intersect(f, g) → S
7. GrebePunkt(A, B, C) → G_{ABC}
8. GrebePunkt(A, C, D) → G_{ACD}
9. Segment(G_{ACD}, G_{ABC}) → h
10. GrebePunkt(A, B, D) → G_{ABD}
11. GrebePunkt(B, C, D) → G_{BCD}
12. Segment(G_{ABD}, G_{BCD}) → i
13. Polygon(F, G_{1}, H) → d1, h_1, f_1, g_1
14. Midpoint(g_1) → I
15. Midpoint(f_1) → J
16. Midpoint(h_1) → K
17. Segment(H, K) → j
18. Segment(F, J) → k
19. Segment(I, G_{1}) → l
20. AngularBisector(G_{1}, F, H) → m
21. AngularBisector(H, G_{1}, F) → n
22. AngularBisector(F, H, G_{1}) → p
23. Intersect(n, g_1) → L
24. Intersect(m, f_1) → M
25. Intersect(p, h_1) → N
26. Segment(H, N) → q
27. Segment(F, M) → r
28. Segment(G_{1}, L) → s
29. Mirror(I, s) → I'
30. Mirror(G_{1}, s) → G'
31. Segment(I', G') → l'
32. Mirror(H, q) → H'
33. Mirror(K, q) → K'
34. Segment(H', K') → j'
35. Mirror(F, r) → F'
36. Mirror(J, r) → J'
37. Segment(F', J') → k'
38. Intersect(l', j') → G
39. Tangent(D, e) → t,
40. Tangent(C, e) → i_1,
41. Tangent(B, e) → j_1,
42. Tangent(A, e) → k_1,
43. Intersect(t, k_1) → E
44. Intersect(t, i_1) → O
45. Intersect(i_1, j_1) → P
46. Intersect(j_1, k_1) → Q
47. Segment(O, Q) → l_1
48. Segment(E, P) → m_1
49. Segment(E, Q) → n_1
50. Segment(Q, P) → p_1
51. Segment(P, O) → q_1
52. Segment(E, O) → r_1