旋转函数生成的3D体积

GeoGebra 命令及参数

1. Vector(O, X) → u
2. Vector(O, Y) → v
3. Vector(O, Z) → w
4. Vector(O - L_{Axis} * u, O + L_{Axis} * u) → u_L
5. Vector(O - L_{Axis} * v, O + L_{Axis} * v) → v_L
6. Vector(O - L_{Axis} * w, O + L_{Axis} * w) → w_L
7. Text("x", O + L_{Axis} * u) → text1
8. Text("y", O + L_{Axis} * v) → text2
9. Text("z", O + L_{Axis} * w) → text3
10. CurveCartesian(x(O + t * u + f(t) * v), y(O + t * u + f(t) * v), t, -L_{Axis}, L_{Axis}) → a
11. Point(xAxis) → A
12. Point(xAxis) → B
13. CurveCartesian(x(O + t * u + f(t) * cos(Rotation) * v + f(t) * sin(Rotation) * w), y(O + t * u + f(t) * cos(Rotation) * v + f(t) * sin(Rotation) * w), t, -L_{Axis}, L_{Axis}) → b
14. CurveCartesian(x(O + x(A) * u + f(x(A)) * cos(s) * v + f(x(A)) * sin(s) * w), y(O + x(A) * u + f(x(A)) * cos(s) * v + f(x(A)) * sin(s) * w), s, 0, Rotation) → d
15. CurveCartesian(x(O + x(B) * u + f(x(B)) * cos(s) * v + f(x(B)) * sin(s) * w), y(O + x(B) * u + f(x(B)) * cos(s) * v + f(x(B)) * sin(s) * w), s, 0, Rotation) → e
16. Sequence(CurveCartesian[x(O + t * u + f(t) * cos(s) * v + f(t) * sin(s) * w), y(O + t * u + f(t) * cos(s) * v + f(t) * sin(s) * w), t, x(A), x(B)], s, 0, Rotation, 15*°) → liste3
17. Function(f, x(A), x(B)) → g
18. CurveCartesian(x(O + t * u + f(t) * v), y(O + t * u + f(t) * v), t, x(A), x(B)) → h
19. CurveCartesian(x(O + t * u + f(t) * cos(Rotation) * v + f(t) * sin(Rotation) * w), y(O + t * u + f(t) * cos(Rotation) * v + f(t) * sin(Rotation) * w), t, x(A), x(B)) → i_1
20. Sequence(CurveCartesian[x(O + t * u + f(t) * cos(s) * v + f(t) * sin(s) * w), y(O + t * u + f(t) * cos(s) * v + f(t) * sin(s) * w), s, 0, Rotation], t, x(A), x(B), (x(B) - x(A)) / Parts) → liste4
21. Vector(O - L_{Axis} * u, O + L_{Axis} * u) → z
22. Segment(O + x(A) * u + k / Parts * (x(B) - x(A)) * u, O + x(A) * u + k / Parts * (x(B) - x(A)) * u + f(x(A) + k / Parts * (x(B) - x(A))) * v) → l
23. Textfield(f) → ChampTexte1
24. Integral(g, x(A), x(B)) → j