相交圆柱体体积

GeoGebra 命令及参数

1. Cylinder(((3 * r), 0, 0), (((-3) * r), 0, 0), r) → a, c, d, b
2. Cylinder((0, ((-3) * r), 0), (0, (3 * r), 0), r) → e, f, g, h
3. IntersectPath(plane1, e) → k
4. Point(k) → A
5. Conic((2, 2, 0), (-2, -2, 0), (0, 0, 2), (0, 0, -2), (1.4142135623730951, 1.4142135623730951, 1.4142135623730951)) → p
6. IntersectPath(plane2, a) → q
7. CurveCartesian((r * cos(t)), (r * cos(t)), (r * sin(t)), t, 0, 6.28319) → crv1
8. CurveCartesian((r * cos(t)), ((-r) * cos(t)), (r * sin(t)), t, 0, 6.28319) → crv2
9. Polygon((ss, ss, PlaneHeight), ((-ss), ss, PlaneHeight), ((-ss), (-ss), PlaneHeight), (ss, (-ss), PlaneHeight)) → Square, i, j, l, m
10. Surface(u, v / ((-u) ≤ v ≤ u), (-sqrt(r^(2) - u^(2))), u, (-r), r, v, (-r), r) → SecBottom1
11. Surface(u / ((-v) ≤ u ≤ v), (-v), (-sqrt(r^(2) - v^(2))), u, (-r), r, v, (-r), r) → SecBottom2
12. Surface((-u), v / ((-u) ≤ v ≤ u), (-sqrt(r^(2) - u^(2))), u, (-r), r, v, (-r), r) → SecBottom3
13. Surface(u / ((-v) ≤ u ≤ v), v, (-sqrt(r^(2) - v^(2))), u, (-r), r, v, (-r), r) → SecBottom4
14. Surface(u, v / ((-u) ≤ v ≤ u), sqrt(r^(2) - u^(2)), u, (-r), r, v, (-r), r) → SecTop1
15. Surface(u / ((-v) ≤ u ≤ v), (-v), sqrt(r^(2) - v^(2)), u, (-r), r, v, (-r), r) → SecTop2
16. Surface((-u), v / ((-u) ≤ v ≤ u), sqrt(r^(2) - u^(2)), u, (-r), r, v, (-r), r) → SecTop3
17. Surface(u / ((-v) ≤ u ≤ v), v, sqrt(r^(2) - v^(2)), u, (-r), r, v, (-r), r) → SecTop4