三棱柱的几何构造

GeoGebra 命令及参数

1. Line(A, xAxis) → a
2. Line(A, yAxis) → b
3. Point(a) → B
4. Point(b) → D
5. Line(B, b) → h
6. Line(D, a) → i
7. Intersect(h, i) → C
8. Polygon(A, B, C, D) → base, a_1, b_1, c, d
9. OrthogonalLine(A, base) → e
10. Point(e) → E
11. Prism(base, E) → f, F, edgeBF_1, edgeCG, edgeDH, edgeEF_1, edgeFG_1, edgeGH, edgeEH, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH, edgeAE
12. Pyramid(Polygon[A, B, C, D], F) → uno, faceABF, faceBCF, faceCDF_1, faceADF_1, edgeAF_1, edgeBF, edgeCF_1, edgeDF_1
13. Pyramid(Polygon[D, C, G, H], F) → due, faceCDF, faceCFG, faceFGH, faceDFH_1, edgeDF_2, edgeCF, edgeFG, edgeFH_1
14. Pyramid(Polygon[A, D, H, E], F) → tre, faceADF, faceDFH, faceEFH, faceAEF, edgeAF, edgeDF, edgeFH, edgeEF
15. Sphere(I, J) → g
16. PointIn(g) → K
17. PointIn(g) → L
18. PointIn(g) → M
19. Vector(I, K) → u
20. Vector(I, L) → v
21. Vector(I, M) → w
22. Translate(uno, u) → uno'
23. Translate(due, v) → due'
24. Translate(tre, w) → tre'
25. Volume(uno) → v1
26. Volume(due) → v2
27. Volume(tre) → v3
28. Volume(f) → vp