面积变化错觉的洞察：圆与三角形几何联动

GeoGebra 命令及参数

1. Polygon(A, B, D) → t1, d, a, b
2. Line(A, D) → f
3. Polygon(C, E, F, G) → q1, c, e, f_1, g
4. Polygon(H, J, K, I) → q2, h, j, k, i
5. Point(Circle[L, 2]) → M
6. Segment(L, M) → l
7. OrthogonalLine(L, l) → m
8. Circle(L, 2) → p
9. Intersect(p, m, 2) → N
10. OrthogonalLine(N, m) → n
11. Circle(N, 3) → q
12. Intersect(q, n, 1) → O
13. OrthogonalLine(O, n) → r
14. Circle(O, 1) → s
15. Intersect(s, r) → P, Q
16. OrthogonalLine(Q, r) → t
17. OrthogonalLine(M, l) → g_1
18. Intersect(t, g_1) → R
19. Polygon(L, N, O, Q, R, M) → poly1, l_1, n_1, o, q_1, r_1, m_1
20. Point(Circle[S, Segment[L, N]]) → T
21. Polygon(S, T, U, V, W, Z) → poly2, s_1, t_1, u, v, w, z_1
22. Segment(A, D) → h_1
23. Segment(D, B) → i_1
24. Segment(B, A) → j_1
25. Segment(I, K) → k_1
26. Segment(K, J) → p_1
27. Segment(J, H) → a_1
28. Segment(H, I) → b_1
29. Segment(C, G) → c_1
30. Segment(G, F) → d_1
31. Segment(F, E) → e_1
32. Segment(E, C) → f_2
33. Segment(T, U) → g_2
34. Segment(U, V) → h_2
35. Segment(V, W) → i_2
36. Segment(W, Z) → j_2
37. Segment(Z, S) → k_2
38. Segment(S, T) → l_2
39. Segment(O, N) → m_2
40. Segment(N, L) → n_2
41. Segment(L, M) → p_2
42. Segment(M, R) → q_2
43. Segment(R, Q) → r_2
44. Segment(Q, O) → s_2