曲面下方体积的扫描可视化

GeoGebra 命令及参数

1. Point(Segment[(π / 2, 1, 0), (((5 * π)) / 2, 1, 0)]) → A
2. CurveCartesian(t, 1, sin(t) + 3, t, π / 2, ((5 * π)) / 2) → a
3. CurveCartesian(t, 4, sin(t) + 3, t, π / 2, ((5 * π)) / 2) → b
4. Polygon(A, B, C, D) → q1, a_1, b_1, c, d
5. Surface((u * a(t)) + ((1 - u) * b(t)), t, π / 2, ((5 * π)) / 2, u, 0, 1) → e
6. Line((π / 2, 1, 0), (((5 * π)) / 2, 1, 0)) → h
7. Line((π / 2, 4, 0), (((5 * π)) / 2, 4, 0)) → i
8. Line((π / 2, 1, 0), (π / 2, 4, 0)) → j
9. Line((((5 * π)) / 2, 4, 0), (((5 * π)) / 2, 1, 0)) → k
10. Point(b) → F
11. Intersect(k, h) → I
12. Intersect(i, j) → K
13. Intersect(i, k) → G
14. Point(h) → J
15. Point(a) → H
16. Point(b) → L
17. Segment(J, H) → l
18. Point(a) → M
19. Segment(M, I) → m
20. Segment(F, G) → n
21. Segment(L, K) → p
22. Intersect(k, i) → O
23. Point(b) → P
24. Intersect(j, i) → T
25. Intersect(h, j) → U
26. Point(a) → V
27. Point(b) → S
28. Segment(S, V) → s
29. Segment(S, T) → t
30. Segment(V, U) → f_1
31. Polygon(S, V, U, T) → q3, s_1, v, u, t_2
32. Point(k) → R
33. Polygon(T, O, R, U) → q2, t_1, o, r, u_1
34. Point(a) → Q
35. Polygon(Q, R, O, P) → q4, q, r_1, o_1, p_1