立方体截面：探索几何与代数的关系

GeoGebra 命令及参数

1. Polygon(F, G, H, E) → q1, f, g, h, e
2. Prism(q1, 2) → b, I, edgeFI, edgeGJ, edgeHK, edgeEL, edgeIJ, edgeJK, edgeKL, edgeIL, J, K, L, faceFGJI, faceGHKJ, faceEHKL, faceEFIL, faceIJKL
3. Polygon(I, G, E) → t1, e_1, i, g_1
4. Midpoint(J, K) → A
5. Midpoint(I, L) → B
6. Midpoint(G, H) → C
7. Midpoint(F, E) → D
8. Polygon(A, C, D, B) → q2, a_1, c, d, b_1
9. Polygon(J, H, E, I) → q3, j, h_1, e_2, i_1
10. Point(edgeJK) → M
11. Midpoint(I, J) → T
12. Midpoint(J, G) → U
13. Midpoint(G, H) → V
14. Midpoint(H, E) → W
15. Midpoint(E, L) → Z
16. Midpoint(L, I) → A_1
17. Polygon(A_1, T, U, V, W, Z) → poly2, l, t, u, v, w, z_1
18. Sphere(I, 0.7) → k
19. Intersect(edgeIJ, k) → N,
20. Intersect(edgeIL, k) → B_1,
21. Polygon(N, G, E, B_1) → q4, n, g_2, e_3, m
22. Point(edgeHK) → O
23. Point(edgeIL) → P
24. Point(edgeIJ) → Q
25. Plane(Q, O, P) → p
26. Intersect(edgeGJ, p) → R
27. Intersect(edgeEL, p) → S
28. Polygon(Q, R, O, S, P) → poly1, q, r, o, s, p_1