矩形蛋糕切割问题：面积平分的几何作图

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Point(yAxis) → C
4. Segment(F, E) → a
5. OrthogonalLine(F, a) → b
6. OrthogonalLine(E, a) → c
7. Point(c) → G
8. OrthogonalLine(G, b) → d
9. Intersect(b, d) → H
10. Polygon(F, E, G, H) → poly1, f, e, g, h
11. Polygon(C, A, B, D) → poly2, c_1, a_1, b_1, d_1
12. Segment(F, G) → i
13. Segment(H, E) → j
14. Segment(C, B) → k
15. Segment(D, A) → l
16. Intersect(k, l) → I
17. Intersect(i, j) → J
18. Line(J, I) → m
19. Segment(F, E) → n
20. Segment(E, G) → p
21. Segment(G, H) → q
22. Segment(F, H) → r
23. Intersect(m, r) → K
24. Intersect(m, p) → L
25. Intersect(c_1, m) → M
26. Intersect(m, b_1) → N
27. Polygon(L, M, A, B, N, K, H, G) → poly3, l_1, m_1, a_2, b_2, n_1, k_1, h_1, g_1
28. Intersect(n, p) → O
29. Intersect(n, r) → P
30. Polygon(M, L, O, P, K, N, D, C) → poly4, m_2, l_2, o, p_1, k_2, n_2, d_2, c_2
31. Segment(P, G) → s
32. Segment(O, H) → t
33. Segment(Q, B) → e_1
34. Segment(R, S) → f_1
35. PointIn(poly4) → Pointpoly4
36. PointIn(poly3) → Pointpoly3