向量代数：直线与圆的交点

GeoGebra 命令及参数

1. Circle(O, 1) → c
2. Point(c) → l
3. Vector(O, l) → L
4. Point(c) → a
5. Line(a, Vector[-L]) → f
6. Intersect(c, f, 2) → b
7. Point(c) → n
8. Line(O, n) → north
9. Vector(O, n) → N
10. Vector(O, e) → E
11. Line(O, e) → east
12. Vector(O, a) → A
13. Vector(a, b) → C
14. Angle(E, A) → α
15. Vector(O, b) → B
16. Angle(E, L) → θ
17. Ray(S, O) → p
18. Intersect(c, p) → I, J
19. Segment(O, J) → l2
20. Vector(O, J) → V
21. Segment(l, b) → h
22. Segment(J, a) → j
23. Segment(O, a) → m
24. Intersect(h, j) → D
25. OrthogonalLine(O, p) → k
26. Intersect(f, k) → K
27. Segment(O, b) → q
28. Angle(a, O, If[A * L > 0, l, J]) → ζ
29. Angle(If[A * L > 0, J, l], O, b) → η
30. OrthogonalLine(b, f) → r
31. OrthogonalLine(a, f) → t
32. Intersect(p, t) → M
33. Intersect(r, p) → P
34. Segment(a, M) → AM
35. Segment(b, P) → a_1
36. Angle(O, M, a) → ι
37. Angle(b, P, O) → κ
38. Segment(O, M) → OM