圆锥曲线的奇妙性质：从三维圆锥到二维截线的动态演示

GeoGebra 命令及参数

1. InfiniteCone((0, 0, 0), Vector[(0, 0, 0), (0, 0, 1)], 0.7853981633974483) → cone
2. Line(C, D) → b
3. Line(B, b) → a
4. Plane(a, b) → c
5. IntersectPath(g, c) → i
6. IntersectPath(g, cone) → q
7. Intersect(i, q) → E, F
8. LineBisector(E, F, g) → f
9. Intersect(f, yAxis) → F_2
10. IntersectPath(c, cone) → d
11. Point(d) → M
12. Locus(G, M) → loc1
13. Point(loc1) → J
14. OrthogonalLine(J, b, space) → f_1
15. Intersect(f_1, b) → H
16. Segment(J, H) → de
17. Segment(J, F_1) → nu
18. Point(loc1) → P
19. IntersectPath(g, cone) → r
20. Line(F_1, (0, 0, 1)) → j
21. Intersect
22. Intersect(q, r) → A, , ,
23. Intersect(f, j) → O
24. Surface((t * cos(u)), (t * sin(u)), (t^(2) - ((2 * t) * h) + ((4 * p) * k) + h^(2)) / ((4 * p)), t, -15, 15, u, 0, 6.28319) → l_1
25. Segment(M, F) → m
26. Segment(M, F) → n
27. Segment(E, F) → s
28. OrthogonalLine(F_2, xAxis, g) → a_2
29. Point(xAxis) → H_1
30. Line(H_1, F_2) → b_1
31. OrthogonalLine(F_2, b_1, g) → c_1
32. Intersect(c_1, s) → Q
33. Segment(F_2, P) → d_1
34. Segment(F_1, P) → d_2
35. Intersect(zAxis, c) → N
36. OrthogonalLine(J, xy) → e_1
37. Line(M, G) → gm
38. Line(Q, F_2) → g_1
39. OrthogonalPlane(O, j) → o
40. IntersectPath(o, cone) → h_1
41. Intersect(c_1, c) → I
42. Intersect(c_1, c) → K