直角三角形与圆锥曲线几何构造范例

GeoGebra 命令及参数

1. Line(E, A) → f
2. Circle(A, B) → c
3. Intersect(c, f, 2) → C
4. Segment(C, A) → q
5. Segment(E, C) → i
6. Point(i) → J
7. OrthogonalLine(J, q) → a_1
8. Point(a_1) → O
9. OrthogonalLine(O, a_1) → b_1
10. Segment(J, C) → h
11. Vector((1, u)) → v
12. Tangent(J, c) → j, k
13. Point(j) → L
14. Ray(J, L) → n
15. Intersect(c, n, 1) → N
16. Point(k) → K
17. Ray(J, K) → l
18. Intersect(c, l, 1) → M
19. Segment(M, N) → r_1
20. Point(r_1) → H
21. OrthogonalLine(H, b_1) → c_1
22. Intersect(b_1, c_1) → S
23. Vector(O, S) → u0
24. Angle(N, J, A) → β
25. Line(A, r_1) → s
26. Intersect(c, s, 2) → P
27. Intersect(c, s, 1) → Q
28. Segment(P, Q) → t
29. OrthogonalLine(P, t) → a
30. OrthogonalLine(Q, t) → b
31. Segment(J, M) → d
32. Segment(J, N) → e
33. Angle(A, J, M) → α
34. Segment(A, M) → R
35. Midpoint(J, C) → D
36. Midpoint(J, M) → F
37. Midpoint(A, M) → G
38. Mirror(H, q) → I
39. Ellipse(H, I, r_1 / 2) → p
40. Translate(O, v) → T
41. Line(O, Vector[UnitVector[v] + UnitVector[u0]]) → d_1
42. Intersect(c_1, d_1) → U
43. Circle(S, U) → e_1
44. Intersect(e_1, c_1, 2) → V
45. Segment(O, V) → f_1
46. Segment(O, U) → g_1
47. Angle(V, O, U) → γ