球体体积演示

GeoGebra 命令及参数

1. Sphere(A, r) → a
2. IntersectPath(b, a) → c
3. Intersect(yAxis, c) → B, C
4. Intersect(xAxis, c) → D, E
5. Line(D, E) → f
6. Line(C, B) → g
7. Rotate(c, 90°, f) → c'
8. Intersect(c, c') → G, H, ,
9. Sequence(Rotate[c, ((i * 360) * ° / n), g], i, 1, n) → L_1
10. Point(L_1) → I
11. Segment(I, G) → h
12. Segment(I, C) → i
13. Segment(G, C) → j
14. OrthogonalLine(C, h, space) → k
15. Intersect(h, k) → F
16. Segment(C, F) → l
17. Segment(I, E) → dx
18. Segment(C, F) → dy
19. CircleSector(K, A, J, xOyPlane) → d
20. Polygon(K, A, J) → t1, j_1, k_1, a_1
21. Pyramid(t1, L) → e, faceAKL, faceAJL, faceJKL, edgeKL, edgeAL, edgeJL
22. Sequence(CircleSector[((((2 * i) - 1) * dx / 2), dy, 0), (((i - 1) * dx), 0, 0), ((i * dx), 0, 0), xOyPlane], i, 1, (2 * n)) → L_2
23. Sequence(Pyramid[Polygon[(((i - 1) * dx), 0, 0), ((i * dx), 0, 0), ((((2 * i) - 1) * dx / 2), dy, 0)], r], i, 1, (2 * n)) → L_3
24. Volume(a) → volumea
25. PointIn(a) → Pointa