旋转体体积计算 by Gail Neal

GeoGebra 命令及参数

1. Point(f) → A
2. OrthogonalLine(A, xAxis) → a
3. Point(f) → B
4. OrthogonalLine(B, xAxis) → c
5. Intersect(c, xAxis) → B'
6. Intersect(f', a, 1) → E
7. Arc(e, A, E) → h
8. Arc(e, E, A) → k
9. Intersect(f', c, 1) → F
10. Arc(d, B, F) → p
11. Arc(d, F, B) → q
12. Point(f) → C
13. OrthogonalLine(C, xAxis) → i
14. Intersect(f', i, 1) → H
15. Intersect(i, xAxis) → I
16. Segment(C, J) → height_1
17. Segment(K, H) → height_2
18. Arc(E_1, C, H) → Arc_{1a}
19. Arc(E_1, H, C) → Arc_{1b}
20. Arc(E_2, J, K) → Arc_{2a}
21. Arc(E_2, K, J) → Arc_{2b}
22. Intersect(a, xAxis) → A'
23. Sequence((x - x(A) - (k * a_1))^(2) / b^(2) + y^(2) = f(x(A) + (k * a_1))^(2), k, 1, n) → partition
24. Point(height_1) → M
25. Vector(L, M) → u
26. Point(xAxis) → D