利用壳层法计算旋转体体积的图形演示

GeoGebra 命令及参数

1. Textfield(a) → inputa
2. Textfield(b) → inputb
3. Textfield(f1) → inputf
4. CurveCartesian(posit, t, 0, t, 0, f(posit)) → curve1
5. Segment((b, 0, 0), (b, f(b), 0)) → bline
6. Circle((0, 0, 0), posit, Plane[(0, 0, 0), (1, 0, 0), (0, 0, 1)]) → c
7. Segment((a, 0, 0), (a, f(a), 0)) → aline
8. Circle((0, f(posit), 0), posit, Plane[(0, 0, 0), (1, 0, 0), (0, 0, 1)]) → d
9. Surface((posit * cos(t2)), t1, (posit * sin(t2)), t1, 0, f(posit), t2, 0, (2 * π)) → shell
10. Surface((min * cos(t)), (u * f(min)), (min * sin(t)), t, 0, (2 * π), u, 0, 1) → hole
11. Surface((max * cos(t)), (u * f(max)), (max * sin(t)), t, 0, (2 * π), u, 0, 1) → case
12. Surface((u * cos(t)), 0, (u * sin(t)), t, 0, (2 * π), u, min, max) → washer
13. Surface((u * cos(t)), f(u), (u * sin(t)), t, 0, (2 * π), u, min, max) → top