旋转体体积计算 by Rino Fatgianto

GeoGebra 命令及参数

1. Textfield(f) → Textfeld1
2. Textfield(a) → Textfeld2
3. Textfield(b) → Textfeld3
4. Line((0, c), Vector[(1, 0)]) → g_1
5. Intersect(f, g_1, (1, f(1))) → I
6. Line((0, d), Vector[(1, 0)]) → g_2
7. Intersect(f, g_2, (d, f(d))) → J
8. CurveCartesian(t, f(t), 0, t, -5, 5) → k
9. Textfield(c) → Textfeld4
10. Textfield(d) → Textfeld5
11. Segment(A, G) → s_1
12. Segment(B, F) → s_2
13. Surface(u, (f(u) * cos(w)), (f(u) * sin(w)), u, a, b, w, 0, φ) → f_x
14. Invert(f) → f_u
15. Segment(C, I) → s_3
16. Segment(D, J) → s_4
17. Rotate(If[a ≤ x ≤ b, f(x)], φ, xAxis) → k_x
18. If(f_u(c) < f_u(d), Rotate[If[f_u(c) ≤ x ≤ f_u(d), f], (-ϕ), yAxis], Rotate[If[f_u(d) ≤ x ≤ f_u(c), f], (-ϕ), yAxis]) → k_y
19. If(f_u(c) < f_u(d), Surface[(uu * cos(ww)), f(uu), (uu * sin(ww)), uu, f_u(c), f_u(d), ww, 0, ϕ], Surface[(uu * cos(ww)), f(uu), (uu * sin(ww)), uu, f_u(d), f_u(c), ww, 0, ϕ]) → f_y