旋转截面体积

GeoGebra 命令及参数

1. Simplify(ISOSarea) → h1
2. Integral(isosarea, x) → i
3. Simplify(SQarea) → p1
4. Integral(area2dfunction, x) → j
5. Textfield(f) → Top
6. Textfield(xlower) → LB
7. Segment(C, B) → cbsq
8. Segment(B, D) → dbsq
9. Segment(E, C) → ecsq
10. Integral(p1, x) → p2
11. Simplify(p3(y) - p4(y)) → p5
12. Simplify(p3) → f_2
13. Textfield(g) → Bottom
14. Textfield(xupper) → UB
15. Intersect(f, g, xlower, xupper) → F, G
16. Surface(t, (u * f(t)) + ((1 - u) * g(t)), 0, t, xlower, xupper, u, 0, 1) → k
17. Segment(B, Disos) → disos
18. Segment(C, Disos) → hyp
19. Segment(B, C) → cisos
20. Segment(C, B) → ceq
21. Segment(B, H) → eq1
22. Segment(C, H) → eq2
23. Integral(h1, x) → h2
24. Simplify(h3(y) - h4(y)) → h5
25. Simplify(EQarea) → e1
26. Integral(e1, x) → e2
27. Integral(eqarea, x) → e
28. Segment(E, D) → edsq
29. Simplify(e3(y) - e4(y)) → e5
30. Semicircle(B, C, xOyPlane) → c
31. Rotate(c, 1.5707963267948966, Segment[B, C]) → semi
32. Simplify(SCarea) → sc1
33. Integral(scarea, x) → s
34. Integral(sc1, x) → sc2
35. Simplify(sc3(y) - sc4(y)) → sc5
36. Segment(C, B) → cbsc
37. Surface(u, (g(u) * v) + ((f(u) + g(u)) / 2 * (1 - v)), (((1 - v) * (f(u) - g(u))) * sqrt(3) / 2), u, xlower, xval, v, 0, 1) → a
38. Surface(u, (f(u) * v) + ((f(u) + g(u)) / 2 * (1 - v)), (((1 - v) * (f(u) - g(u))) * sqrt(3) / 2), u, xlower, xval, v, 0, 1) → b
39. Surface(u, (v * f(u)) + ((1 - v) * g(u)), (abs(f(u) - g(u)) / 2 * sqrt(1 - ((2 * v) - 1)^(2))), u, xlower, xval, v, 0, 1) → d
40. Surface(u, g(u), (v * abs(f(u) - g(u))), u, xlower, xval, v, 0, 1) → h
41. Surface(u, (v * g(u)) + ((1 - v) * f(u)), (v * abs(f(u) - g(u))), u, xlower, xval, v, 0, 1) → l
42. Surface(u, g(u), (v * abs(f(u) - g(u))), u, xlower, xval, v, 0, 1) → m
43. Surface(u, f(u), (v * abs(f(u) - g(u))), u, xlower, xval, v, 0, 1) → n
44. Surface(u, (v * g(u)) + ((1 - v) * f(u)), abs(f(u) - g(u)), u, xlower, xval, v, 0, 1) → o
45. Length(cbsq) → baselength
46. Segment(I, J) → divider1
47. Segment(K, L) → divider2
48. Textfield(xinc) → inputBox1