棱锥体积探究：底面多边形与顶点构成的立体几何

GeoGebra 命令及参数

1. Polygon(A, B, C, D) → q1, a, b, c, d
2. Pyramid(q1, O) → e, faceABO, faceBCO, faceCDO, faceADO, edgeAO, edgeBO, edgeCO, edgeDO
3. Segment(A, O) → f
4. Segment(B, O) → g
5. Segment(C, O) → h
6. Segment(D, O) → i
7. Point(f, t_1) → P
8. Point(g, t_1) → Q
9. Point(h, t_1) → R
10. Point(i, t_1) → S
11. Polygon(P, Q, R, S) → q2, p_1, q, r, s
12. Pyramid(q2, O) → j, faceOPQ, faceOQR, faceORS, faceOPS, edgeOP, edgeOQ, edgeOR, edgeOS
13. Segment(Q, S) → k
14. Intersect(edgeOP, k) → J
15. Segment(P, R) → m
16. Intersect(k, m) → E
17. Segment(E, O) → n
18. Distance(P, Q) → PQ
19. Distance(P, S) → PS
20. Distance(E, O) → EO
21. Volume(j) → volumej
22. Point(j) → Pointj_1
23. Volume(e) → volumee
24. Point(e) → Pointe_1
25. Volume(e) → o
26. Point(e) → Pointe
27. Volume(j) → u
28. Point(j) → Pointj