金字塔体积计算 by Margarida Oliveira

GeoGebra 命令及参数

1. Pyramid(A, C, B, D) → a, faceABC, edgeBD, faceACD_1, faceBCD, faceABD, edgeAC_1, edgeBC, edgeAB, edgeAD_1, edgeCD
2. Plane(D, faceABC) → b
3. Line(A, edgeBD) → c
4. Line(C, edgeBD) → d
5. Intersect(c, b) → E
6. Intersect(d, b) → F
7. Polygon(E, D, F) → poly1, f, e, d_1
8. Prism(E, F, D, A) → g, G, edgeDE_1, edgeAE_1, edgeFG, edgeDH, edgeAG, edgeGH, edgeAH, H, faceDEF_1, faceAEFG, faceDFGH, faceAEDH, faceAGH, edgeEF_1, edgeDF_1
9. Intersect(edgeDF_1, edgeEF_1) → I
10. Intersect(zAxis, edgeAE_1) → J
11. Pyramid(E, F, D, A) → i, faceDEF, edgeAD_2, faceAEF, faceADF_1, faceADE, edgeEF, edgeDF, edgeDE, edgeAE, edgeAF_1
12. Polygon(D, F, C) → poly2, c_1, d_2, f_1
13. Pyramid(poly2, A) → k, faceADF, faceACF, faceACD, edgeAD, edgeAF, edgeAC
14. Vector(A, B + (6, 0, 0)) → u
15. OrthogonalLine(D, edgeDE, space) → m
16. OrthogonalLine(D, faceABC) → n
17. Intersect(n, faceABC) → K
18. Plane(B, A, C) → o
19. Intersect(n, o) → L
20. Segment(D, K) → p
21. Segment(D, L) → q
22. Translate(a, uu) → a'
23. Vector(A, (0, 0, q + 4)) → v
24. Translate(i, vv) → i'
25. Vector(A, (0, y(G) + 9, 0)) → w
26. Translate(k, ww) → k'
27. Translate(G, ww) → G'
28. Translate(F, ww) → F'
29. Translate(G, ww) → G'_1
30. Segment(F', G'_1) → edgeFG'
31. Translate(G, ww) → G'_2
32. Translate(A, ww) → A'
33. Segment(G'_2, A') → edgeAG'
34. Segment(A', G'_2) → s
35. Line(A', G) → t
36. Angle(F, G, A') → α
37. Rotate(k', 90°, edgeAG') → k''
38. Angle(D, G, H) → β
39. Line(A, G) → a_1
40. Plane(F, G, A) → b_1
41. Angle(o, b_1) → δ
42. Translate(faceABD, uu) → faceABD'