重心中线三角形（Schwerliniendreieck）作图与性质演示

GeoGebra 命令及参数

1. Polygon(A, B, C) → d1, c, a, b
2. Point(Circle[A', c]) → E
3. Segment(A', E) → f
4. Circle(A', a) → d
5. Circle(E, b) → e
6. Intersect(d, e, 1) → F
7. Segment(F, A') → g
8. Segment(F, E) → h
9. Line(G, g) → i
10. Segment(H, G) → j
11. Line(A', j) → k
12. Line(F, j) → l
13. Intersect(i, l) → C'
14. Segment(F, C') → m
15. Intersect(i, k) → J
16. Segment(A', J) → n
17. Segment(C', J) → p
18. Line(E, j) → q
19. Segment(A', C') → r
20. Intersect(q, r) → K
21. Line(K, h) → s
22. Intersect(k, s) → B'
23. Segment(C', B') → t
24. Segment(K, B') → f_1
25. Segment(J, B') → g_1
26. Segment(K, E) → h_1
27. Polygon(C', A', B') → d2, l_1, i_1, d_1
28. Segment(K, F) → j_1
29. Segment(H, K) → k_1
30. Intersect(h, r) → O
31. Segment(K, J) → n_1
32. Segment(J, E) → p_1
33. Midpoint(a) → N
34. Midpoint(b) → P
35. Midpoint(c) → Q
36. Segment(C, Q) → q_1
37. Segment(A, N) → r_1
38. Segment(P, B) → s_1
39. Intersect(p_1, s) → R
40. Intersect(d1, d2) → S
41. Midpoint(K, E) → T
42. Line(K, p) → t_1
43. Line(E, p) → a_1
44. Intersect(t_1, n) → U
45. Segment(K, U) → b_1
46. Intersect(a_1, g_1) → V
47. Segment(E, V) → c_1
48. Midpoint(g) → M
49. Segment(M, K) → m_1