利用壳法计算体积的几何示例

GeoGebra 命令及参数

1. Point(xAxis) → Left
2. Point(xAxis) → Right
3. Point(f) → A
4. Segment(B, A) → a
5. Textfield(g) → inputBox1
6. Textfield(h) → inputBox2
7. Segment((x(Left), g(x(Left))), (x(Left), h(x(Left)))) → j
8. Segment((x(Right), g(x(Right))), (x(Right), h(x(Right)))) → l
9. Surface((x(A) * cos((-t))), u, (x(A) * sin((-t))), t, 0, β, u, Min[y(A), y(B)], Max[y(A), y(B)]) → d
10. If(α > 0, Surface[(u * cos((-t))), g(u), (u * sin((-t))), t, 0, α, u, x(Left), x(Right)]) → e
11. Surface((u * cos((-t))), k(u), (u * sin((-t))), t, 0, α, u, x(Left), x(Right)) → i
12. Surface((x(Left) * cos((-t))), u, (x(Left) * sin((-t))), t, 0, α, u, Min[g(x(Left)), h(x(Left))], Max[g(x(Left)), h(x(Left))]) → m
13. Surface((x(Right) * cos((-t))), u, (x(Right) * sin((-t))), t, 0, α, u, Min[g(x(Right)), h(x(Right))], Max[g(x(Right)), h(x(Right))]) → n
14. CurveCartesian((x(A) * cos((-t))), y(A), (x(A) * sin((-t))), t, 0, α) → b
15. CurveCartesian((x(A) * cos((-t))), y(B), (x(A) * sin((-t))), t, 0, α) → c
16. LaTeX((((("\text{V}=2\pi\int_{x_{\text{Left}}}^{x_{\text{Right}}}x\left[\left(" * g) * "\right)-\left(") * h) * "\right)\right] dx")) → text1