圆锥曲面面积演示

GeoGebra 命令及参数

1. Point(zAxis) → A
2. Point(Segment[A, (0, 0, 0)]) → P
3. Point(xAxis) → B
4. Circle(P, Distance[A, B], yAxis) → c
5. Intersect(xOyPlane, c) → C, D
6. Intersect(xAxis, yAxis) → O
7. Rotate(D, γ, zAxis) → D_1
8. Rotate(D_1, α, zAxis) → D'
9. Rotate(D_1, (π * x(B) / x(D)), zAxis) → D'_1
10. Mirror(D'_1, O) → E
11. Segment(P, D') → e
12. Circle(zAxis, B) → g
13. CircumcircleArc(D_1, E, D') → h
14. CircumcircleArc(D_1, D'_1, D') → d
15. Segment(P, D_1) → b
16. Surface((u * cos(v)), (u * sin(v)), f(u), u, 0, x(D), v, γ, (2 * π) - γ) → a
17. Vector(A + (0, 0, 1), A + (0, 0, 0.2)) → u
18. Segment(O, A) → i
19. Segment(O, B) → j