圆锥曲线的光束投影

GeoGebra 命令及参数

1. Ray(S, C) → g
2. OrthogonalLine(S, xOyPlane) → h
3. Intersect(h, xOyPlane) → D
4. Ray(D, C) → i
5. Mirror(S, C) → S'
6. Line(S, S') → j
7. Intersect(j, xOyPlane) → E
8. Plane(E, S, D) → p
9. Circle(S', 2, zAxis) → d
10. OrthogonalLine(E, p) → k
11. Circle(S', Distance[S, S'] / 4, j) → e
12. Cone(e, (-Distance[S', S])) → l, q, m
13. IntersectPath(xOyPlane, l) → s
14. Polygon(A, B, G, F) → q1, a, b, g_1, f
15. Prism(q1, 14.976227813826487) → c, H, arêteAH, arêteBI, arêteGJ, arêteFK, arêteHI, arêteIJ, arêteJK, arêteHK, I, J, K, faceABIH, faceBGJI, faceFGJK, faceAFKH, faceHIJK
16. Translate(S, Vector[(0.15 * Vector[S', S])]) → S'_1
17. Circle(S'_1, 0.4, j) → r
18. Circle(S, 0.65, j) → t
19. Midpoint(S'_1, S) → L
20. Midpoint(L, S) → M
21. Cone(t, (-Distance[S, S'_1])) → o, c_1, u
22. Circle(M, 0.4, j) → d_1
23. Cylinder(d_1, (-Distance[M, S'_1])) → v, e_1, w
24. Circle(S, 0.6, j) → f_1
25. Line(L, k) → h_1
26. Intersect(h_1, w) → N, O
27. Cone(e, (-Distance[S', L])) → n, n_2, n_3