六棱柱展开图与表面积计算

GeoGebra 命令及参数

1. Polygon(A, B, 6, xOyPlane) → poly1, a, F, b, c, d, e, f, C, D, E
2. Prism(poly1, A + (0, 0, 4)) → g, G, faceEFKJ, face2, face3, edge1, edgeBG, edgeCH, edgeDI, edgeEJ, edgeFK, edge2, H, edgeGH, edgeHI, edgeIJ, edgeJK, edge3, I, J, K, face1, faceBCHG, faceCDIH, faceDEJI
3. Segment(M, M + (0, 0, 2)) → h
4. Point(h) → N
5. Rotate(Polygon[E, D, I, J], (90° * t), Segment[D, E]) → poly2
6. Rotate(Polygon[G, H, I, J, K, L], (90° * t), Segment[I, J]) → poly3
7. Rotate(poly3, (90° * t), Segment[D, E]) → poly3'
8. Rotate(Polygon[C, D, I, H], (60° * t), Segment[D, I]) → poly4
9. Rotate(poly4, (90° * t), Segment[D, E]) → poly4'
10. Mirror(poly4, OrthogonalPlane[Midpoint[D, E], Segment[D, E]]) → poly4'_1
11. Rotate(poly4'_1, (90° * t), Segment[D, E]) → poly5
12. Rotate(C, (60° * t), Segment[D, I]) → C'
13. Mirror(Polygon[D, E, J, I], OrthogonalPlane[Midpoint[D, C'], Segment[D, C']]) → poly6
14. Mirror(poly6, OrthogonalPlane[Midpoint[D, E], Segment[D, E]]) → poly6'
15. Rotate(poly6, (90° * t), Segment[D, E]) → poly6'_1
16. Rotate(poly6', (90° * t), Segment[D, E]) → poly6''
17. Mirror(E, OrthogonalPlane[Midpoint[D, C'], Segment[D, C']]) → E'
18. Mirror(poly4, OrthogonalPlane[Midpoint[E', C'], Segment[E', C']]) → poly4'_2
19. Rotate(poly4'_2, (90° * t), Segment[D, E]) → poly7
20. Rotate(poly3, (90° * t), Segment[D, E]) → poly3'_1
21. Polygon(A, B, 6, xOyPlane) → poly8, i, R, j, k, l, m, n, O, P, Q
22. Rotate(poly6', (90° * t), Segment[D, E]) → poly6''_1
23. Rotate(poly4'_1, (90° * t), Segment[D, E]) → poly9
24. Rotate(Polygon[E, D, I, J], (90° * t), Segment[D, E]) → poly10
25. Rotate(poly4, (90° * t), Segment[D, E]) → poly4'_3
26. Rotate(poly6, (90° * t), Segment[D, E]) → poly6'_2
27. Rotate(poly4'_2, (90° * t), Segment[D, E]) → poly11