圆环法求旋转体体积

GeoGebra 命令及参数

1. Invert(g1) → i1
2. Invert(g2) → i2
3. Line(A, B) → L
4. Rotate(f1, θ, L) → p1
5. Line(C, D) → M
6. Textfield(c) → inputBox1
7. Textfield(d) → inputBox2
8. Textfield(g1) → inputBox3
9. Textfield(b) → inputBox5
10. Textfield(a) → inputBox6
11. Rotate(f2, θ, L) → p2
12. Textfield(g2) → inputBox4
13. Segment(E, F) → EF
14. Segment(G, H) → GH
15. Rotate(E, θ, L) → E'
16. Rotate(F, θ, L) → F'
17. Segment(E', F') → EF'
18. Rotate(G, θ, L) → G'
19. Rotate(H, θ, L) → H'
20. Segment(G', H') → GH'
21. Surface(x(F), ((y(F) - c) * cos(t)) + c + ((s * (f1(x(E)) - f2(x(F)))) * cos(t)), ((y(F) - c) * sin(t)) + ((s * (f1(x(E)) - f2(x(F)))) * sin(t)), s, 0, 1, t, 0, θ) → lcap
22. Surface(x(H), ((y(H) - c) * cos(t)) + c + ((s * (f1(x(G)) - f2(x(H)))) * cos(t)), ((y(H) - c) * sin(t)) + ((s * (f1(x(G)) - f2(x(H)))) * sin(t)), s, 0, 1, t, 0, θ) → rcap
23. Surface(u, ((f1(u) - c) * cos(w)) + c, ((f1(u) - c) * sin(w)), u, a, b, w, 0, θ) → SurfaceOuterAboutHoriz
24. Surface(u, ((f2(u) - c) * cos(w)) + c, ((f2(u) - c) * sin(w)), u, a, b, w, 0, θ) → SurfaceInnerAboutHoriz
25. Surface(((i2(u) - d) * cos(w)) + d, u, ((i2(u) - d) * sin(w)), u, y(F), y(H), w, 0, θ) → SurfaceInnerAboutVert
26. Surface(((i1(u) - d) * cos(w)) + d, u, ((i1(u) - d) * sin(w)), u, y(E), y(G), w, 0, θ) → SurfaceOuterAboutVert
27. Rotate(E, (-θ), M) → E'_1
28. Rotate(F, (-θ), M) → F'_1
29. Rotate(G, (-θ), M) → G'_1
30. Rotate(H, (-θ), M) → H'_1
31. Segment(E'_1, F'_1) → E'1F'1
32. Segment(G'_1, H'_1) → G'1H'1
33. Rotate(f1, (-θ), M) → q1
34. Rotate(f2, (-θ), M) → q2
35. Surface(((x(G) - d) * cos(w)) + d, u, ((x(G) - d) * sin(w)), u, y(G), y(H), w, 0, θ) → ocap
36. Surface(((x(E) - d) * cos(w)) + d, u, ((x(E) - d) * sin(w)), u, y(E), y(F), w, 0, θ) → icap
37. Surface((Slice * x(H)), ((y(H) - c) * cos(t)) + c + ((s * (Slice * (f1(x(G)) - f2(x(H))))) * cos(t)), ((y(H) - c) * sin(t)) + ((s * (Slice * (f1(x(G)) - f2(x(H))))) * sin(t)), s, 0, 1, t, 0, θ) → lslice