连接金字塔与棱柱的体积关系

GeoGebra 命令及参数

1. Segment((-1.5, 3), (1.5, 3)) → segmC
2. Point(segmC) → C
3. Segment(C + (0, 0, 0.1), HM) → hPri
4. Point(yAxis) → T
5. Sequence(Rotate[C, ((t * 2) * pi / n), T], t, 1, n) → vert
6. Polygon(vert) → polyBase
7. Ray(C + (0, 0, 0.1), (x(C), y(C), 40)) → h
8. Point(hPri) → H
9. Segment(C, H) → hei
10. Prism(polyBase, hei) → a, D, face3, face4, face5, face6, face7, face2, face15, faceDEFGIJK, edge1, edge2, E, edge3, edge4, edge5, edge6, edge7, edge15, edgeDE, edgeEF, edgeFG, edgeGI, F, edgeIJ, edgeJK, edgeDK, edge16, G, I, J, K, L, face1
11. Vector(A, T) → u
12. Translate(polyBase, Vector[(tra * u)]) → pyrBase
13. Pyramid(pyrBase, hei) → b, B, edge8, edge9, edge10, edge11, edge12, edge13, edge14, edge17, face8, face10, face11, face12, face13, face14, face9, face16
14. Centroid(pyrBase) → M
15. Segment(V, M) → hPir
16. Vector(C, H) → v
17. Translate(vert, v) → vertUp
18. Vertex(pyrBase) → vertPir_{1}, vertPir_{2}, vertPir_{3}, vertPir_{4}, vertPir_{5}, vertPir_{6}, vertPir_{7}, vertPir_{8}
19. Sequence((-8.6, 3.2) + (t / 6 * ((-4.1, 3.2) - (-8.6, 3.2))), t, 1, 6) → fakeCursorGrid
20. Element(fakeCursorGrid, n - 2) → PSLI
21. Pyramid(pyrBase, hei) → bBlack, P, spigolo1, spigolo2, spigolo3, edge18, edge19, edge20, edge21, edge22, faccia1, faccia3, faccia2, face17, face18, face19, face20, face21
22. Prism(polyBase, hei) → priBlack, Q, faccia6, faccia5, face22, face23, face24, face25, face26, facciaQRS, spigolo4, spigolo5, R, spigolo6, edge23, edge24, edge25, edge26, edge27, spigoloQR, spigoloRS, spigoloQS, edge28, S, edge29, edge30, edge31, edge32, U, W, Z, A_1, B_1, faccia4
23. Corner(5) → AppSize