圆锥的展开图 by Christopher Lim

GeoGebra 命令及参数

1. OrthogonalLine((1, 0, 0), xOyPlane) → a
2. Circle(a, (0, 0, 0)) → c
3. Point(a) → A
4. Intersect(xAxis, a) → B
5. Cone(B, A, 1) → b, d, e
6. Intersect(yAxis, xAxis) → C
7. Segment(C, A) → l
8. Distance(B, C) → r
9. Angle(A, C, B) → α
10. Rotate(A, (t * α), yAxis) → A'
11. OrthogonalLine(A', xOyPlane) → f
12. Intersect(f, xOyPlane) → B'
13. Rotate(C, β / 2, f) → C'
14. Rotate(C, ((-β)) / 2, f) → C'_1
15. CircumcircleArc(C', C, C'_1) → g
16. Distance(A', B') → h
17. Distance(B', C') → r'
18. Surface(((k - ((v * r') * cos((u * β / 2)))) * cos(ϕ)) - (((1 - v) * h) * sin(ϕ)), ((v * r') * sin((u * β / 2))), (((1 - v) * h) * cos(ϕ)) + ((k - ((v * r') * cos((u * β / 2)))) * sin(ϕ)), u, -1, 1, v, 0, 1) → j
19. CurveCartesian(((k - (r' * cos((u * β / 2)))) * cos(ϕ)), (r' * sin((u * β / 2))), ((k - (r' * cos((u * β / 2)))) * sin(ϕ)), u, -1, 1) → m
20. Segment(E, F) → n
21. Segment(D, F) → p