推理求面积：多边形分解与组合（IM 6.1.3 课程）

GeoGebra 命令及参数

1. Segment(A, B) → f
2. Segment(B, C) → g
3. Segment(C, A) → h
4. Polygon(A, C, B) → t1, b, a, c
5. Segment(D, E) → i
6. Segment(E, F) → j
7. Segment(F, G) → k
8. Segment(G, D) → l
9. Polygon(D, E, F, G) → q1, d, e, f_1, g_1
10. Segment(H, I) → m
11. Segment(I, J) → n
12. Segment(J, K) → p
13. Segment(K, L) → q
14. Segment(L, H) → r
15. Polygon(H, I, J, K, L) → poly1, h_1, i_1, j_1, k_1, l_1
16. Segment(M, N) → s
17. Segment(N, O) → t
18. Segment(O, P) → m_1
19. Segment(P, Q) → n_1
20. Segment(Q, R) → p_1
21. Segment(R, M) → q_1
22. Polygon(R, M, N, O, P, Q) → poly2, r_1, m_2, n_2, o, p_2, q_2
23. Segment(S, T) → s_1
24. Segment(T, U) → t_1
25. Segment(U, V) → a_1
26. Segment(V, W) → b_1
27. Segment(W, Z) → c_1
28. Segment(Z, A_1) → d_1
29. Segment(A_1, S) → e_1
30. Polygon(S, T, U, V, W, Z, A_1) → poly3, s_2, t_2, u, v, w, z_1, f_2
31. Segment(B_1, C_1) → g_2
32. Segment(C_1, D_1) → h_2
33. Segment(D_1, E_1) → i_2
34. Segment(E_1, F_1) → j_2
35. Segment(F_1, G_1) → k_2
36. Segment(G_1, H_1) → l_2
37. Segment(H_1, I_1) → r_2
38. Segment(I_1, B_1) → a_2
39. Polygon(B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1) → poly4, b_2, c_2, d_2, e_2, f_3, g_3, h_3, i_3
40. Segment(J_1, K_1) → j_3
41. Segment(K_1, L_1) → k_3
42. Segment(L_1, M_1) → l_3
43. Segment(M_1, N_1) → m_3
44. Segment(N_1, O_1) → n_3
45. Segment(O_1, P_1) → p_3
46. Segment(P_1, Q_1) → q_3
47. Segment(Q_1, R_1) → r_3
48. Segment(R_1, J_1) → s_3
49. Polygon(R_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1) → poly5, t_3, a_3, b_3, c_3, d_3, e_3, o_1, f_4, g_4
50. Segment(S_1, T_1) → h_4
51. Segment(T_1, U_1) → i_4
52. Segment(U_1, V_1) → j_4
53. Segment(V_1, W_1) → k_4
54. Segment(W_1, Z_1) → l_4
55. Segment(Z_1, A_2) → m_4
56. Segment(A_2, B_2) → n_4
57. Segment(B_2, C_2) → p_4
58. Segment(C_2, D_2) → q_4
59. Segment(D_2, S_1) → r_4
60. Polygon(S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2) → poly6, s_4, e_4, t_4, u_1, v_1, w_1, a_4, b_4, c_4, d_4
61. CustomHexagon(E_2, F_2, G_2, H_2, I_2, J_2) → f_5, g_5, h_5, i_5, j_5, k_5, poly7
62. CustomTriangle(S_2, T_2, U_2) → a_5, b_5, c_5, t2
63. CustomTriangle(T_2, V_2, W_2) → d_5, e_5, f_6, t3
64. CustomTriangle(W_2, Z_2, A_3) → g_6, h_6, i_6, t4
65. CustomTriangle(A_3, B_3, U_2) → j_6, k_6, l_6, t5
66. CustomQuadrilateral(C_3, D_3, E_3, F_3) → q4, m_6, n_6, p_6, q_6
67. CustomHexagon(G_3, H_3, I_3, J_3, K_3, L_3) → r_6, s_6, t_6, a_6, b_6, c_6, poly8
68. Point(c_6) → M_3
69. CustomHexagon(I_3, M_3, N_3, O_3, P_3, Q_3) → d_6, e_6, f_7, g_7, h_7, i_7, poly9
70. Point(d_6) → S_3
71. Segment(R_3, S_3) → l_5
72. Segment(R_3, T_3) → m_5