旋转体 III

GeoGebra 命令及参数

1. Point(xAxis) → A
2. Ray(A, E) → a
3. Point(a) → B
4. Sequence(A + ((B - A) * ((2 * i) - 1) / ((2 * n))), i, 1, n) → punkter
5. RectangleSum(f, x(A), x(B), n, 0.5) → middelsum
6. Distance(A, B) → d
7. Sequence(Surface[((x(punkter(i)) + d / ((2 * n))) * cos(v)), u, ((x(punkter(i)) + d / ((2 * n))) * sin(v)), u, 0, f(x(punkter(i))), v, 0, t], i, 1, n) → indersider
8. Sequence(Surface[((x(punkter(i)) - d / ((2 * n))) * cos(v)), u, ((x(punkter(i)) - d / ((2 * n))) * sin(v)), u, 0, f(x(punkter(i))), v, 0, t], i, 1, n) → ydersider
9. Sequence(Surface[(u * cos(v)), f(x(punkter(i))), (u * sin(v)), u, x(punkter(i)) - d / ((2 * n)), x(punkter(i)) + d / ((2 * n)), v, 0, t], i, 1, n) → toppe
10. Surface((u * cos(v)), 0, (u * sin(v)), u, x(A), x(B), v, 0, t) → list5
11. Integral(f, x(A), x(B)) → integral
12. Sequence(Rotate[Polygon[punkter(i) - (d / ((2 * n)), 0), punkter(i) + (d / ((2 * n)), 0), punkter(i) + (d / ((2 * n)), f(punkter(i))), punkter(i) + (((-d)) / ((2 * n)), f(punkter(i)))], (-t), yAxis], i, 1, n) → rotmiddelsummer
13. Surface((cos(t) * u), (v * f(u)), (sin(t) * u), u, x(A), x(B), v, 0, 1) → punktmaengde
14. Surface((u * cos(v)), f(u), (u * sin(v)), u, x(A), x(B), v, 0, t) → omdrejning
15. Surface((x(B) * cos(v)), u, (x(B) * sin(v)), u, 0, f(x(B)), v, 0, t) → yderside
16. Surface((x(A) * cos(v)), u, (x(A) * sin(v)), u, 0, f(x(A)), v, 0, t) → inderside
17. Surface((u * cos(v)), 0, (u * sin(v)), u, x(A), x(B), v, 0, t) → bund