圆锥截线比较：抛物线与圆的形成

GeoGebra 命令及参数

1. Point(b) → A
2. Line(A, P) → c
3. Intersect(a, b) → O
4. AngularBisector(O, A, P) → d
5. Intersect(d, yAxis) → C_1
6. OrthogonalLine(C_1, c) → e
7. Intersect(c, e) → F_1
8. Circle(C_1, F_1) → f
9. Intersect(a, c) → E
10. AngularBisector(b, c) → g, h
11. Intersect(h, yAxis) → C_2
12. OrthogonalLine(C_2, c) → i
13. Intersect(c, i) → F_2
14. Circle(C_2, F_2) → k
15. Segment(A, E) → j
16. Line(A, a) → l
17. OrthogonalLine(A, yAxis) → m
18. Intersect(m, yAxis) → A'
19. Angle(A', A, P) → α
20. Vector(A, O) → u
21. Rotate(Translate[F_1, u], (-α)) → F_1'
22. Rotate(Translate[F_2, u], (-α)) → F_2'
23. Ellipse(F_1', F_2', j / 2) → p
24. OrthogonalLine(C_3, l) → q
25. Intersect(l, q) → F_3
26. Rotate(Translate[F_3, u], -45*°) → F_3'
27. Mirror(F_3', yAxis) → B
28. OrthogonalLine(B, xAxis) → r
29. Parabola(F_3', r) → s
30. Line(A, E) → t
31. Point(t) → R_1
32. Point(t) → R_2
33. Ray(E, R_1) → r_1
34. Ray(A, R_2) → r_2