马里昂定理：用作图构造相似与面积关系

GeoGebra 命令及参数

1. Polygon(A, B, C) → d1, c, a, b
2. Segment(D, C) → d
3. Segment(E, C) → e
4. Segment(F, A) → f
5. Segment(G, A) → g
6. Segment(H, B) → h
7. Segment(I, B) → i
8. Intersect(f, i) → J
9. Intersect(e, f) → K
10. Intersect(e, h) → L
11. Intersect(g, h) → M
12. Intersect(d, g) → N
13. Intersect(d, i) → O
14. Polygon(J, K, L, M, N, O) → v2, j, k, l, m, n_1, o
15. Midpoint(c) → P
16. Midpoint(a) → Q
17. Midpoint(b) → R
18. Segment(A, Q) → n
19. Segment(C, P) → p
20. Segment(B, R) → q
21. Intersect(n, p) → S
22. Intersect(d, h) → T
23. Intersect(e, g) → U
24. Polygon(C, T, M, U) → v1, c_1, t, m_1, u
25. Intersect(d, f) → V
26. Intersect(g, i) → W
27. Polygon(A, V, O, W) → v3, a_1, v, o_1, w
28. Intersect(e, i) → Z
29. Intersect(f, h) → A_1
30. Polygon(Z, B, A_1, K) → v4, z_1, b_1, r, k_1
31. Polygon(C, H, T) → d2, t_1, c_2, h_1
32. Polygon(C, U, G) → d3, g_1, c_3, u_1
33. Polygon(F, A_1, B) → d4, b_2, f_1, s
34. Polygon(Z, E, B) → d5, b_3, z_2, e_1
35. Polygon(A, D, V) → d6, v_1, a_2, d_1
36. Polygon(I, A, W) → d7, w_1, i_1, a_3
37. Polygon(T, N, M) → d8, m_2, t_2, n_2
38. Polygon(U, M, L) → d9, l_1, u_2, m_3
39. Polygon(N, W, O) → d10, o_2, n_3, w_2
40. Polygon(O, V, J) → d11, j_1, o_3, v_2
41. Polygon(J, Z, K) → d12, k_2, j_2, z_3
42. Polygon(L, K, A_1) → d13, p_1, l_2, k_3
43. Polygon(H, I, W, N, T) → Vieleck1, h_2, i_2, w_3, n_4, t_3
44. Polygon(G, U, L, A_1, F) → Vieleck2, g_2, u_3, l_3, q_1, f_2
45. Polygon(V, D, E, Z, J) → Vieleck3, v_3, d_2, e_2, z_4, j_3