Hannah (GER): 多边形中点与重心构造的几何探索

GeoGebra 命令及参数

1. Polygon(A, B, 5) → Vieleck1, f, g, h, i, j, C, D, E
2. Midpoint(i) → F
3. Midpoint(h) → G
4. Midpoint(g) → H
5. Midpoint(f) → I
6. Midpoint(j) → J
7. Polygon(F, J, 5) → Vieleck2, k, l, m, n, p, K, L, M
8. Midpoint(l) → N
9. Midpoint(m) → O
10. Midpoint(n) → P
11. Midpoint(p) → Q
12. Midpoint(k) → R
13. Polygon(R, N, 5) → Vieleck3, q, r, s, t, a, S, T, U
14. Midpoint(q) → V
15. Midpoint(a) → W
16. Polygon(W, V, 5) → Vieleck4, b, c, d, e, f_1, Z, A_1, B_1
17. Midpoint(b) → C_1
18. Centroid(Vieleck4) → D_1
19. Midpoint(f_1) → E_1
20. Polygon(E_1, C_1, 5) → Vieleck5, g_1, h_1, i_1, j_1, k_1, F_1, G_1, H_1
21. Polygon(J, A, I) → d1, i_2, j_2, a_1
22. Polygon(I, B, H) → d2, h_2, i_3, b_1
23. Polygon(H, C, G) → d3, g_2, h_3, c_1
24. Polygon(G, D, F) → d4, f_2, g_3, d_1
25. Polygon(F, J, E) → d5, e_1, f_3, j_3
26. Polygon(R, Q, F) → d6, f_4, r_1, q_1
27. Polygon(R, N, J) → d7, j_4, r_2, n_1
28. Polygon(N, I, O) → d8, o, n_2, i_4
29. Polygon(O, H, P) → d9, p_1, o_1, h_4
30. Polygon(P, Q, G) → d10, g_4, p_2, q_2
31. Polygon(C_1, E_1, W) → d11, w, l_1, m_1
32. Polygon(C_1, F_1, V) → d12, v, s_1, t_1
33. Polygon(F_1, Z, G_1) → d13, k_2, l_2, z_1
34. Polygon(G_1, A_1, H_1) → d14, m_2, s_2, t_2
35. Polygon(H_1, E_1, B_1) → d15, a_2, b_2, c_2