双曲线方程结构解析：从几何要素到标准形式

GeoGebra 命令及参数

1. Point(Segment[(h, y(C) + 10), (h, y(C) + 1)]) → D
2. Line(A, B) → f
3. Vector(A, C) → u
4. Polygon(A, C, B) → t1, b, a_1, c
5. Segment(A, C) → h_{1}
6. Vector((h, 0), A) → w
7. Vector((0, 0), (h, 0)) → j
8. Point(Segment[(x(C) + 1, k), (x(C) + 10, k)]) → E
9. Mirror(F, D) → F'
10. Mirror(F, E) → F'_{1}
11. Mirror(F, A) → F'_{2}
12. Segment(F', F) → r
13. Segment(F, F'_{1}) → s
14. Segment(F'_{1}, F'_{2}) → t
15. Segment(F'_{2}, F') → f_1
16. Segment(A, D) → i_1
17. Segment(A, E) → j_1
18. Segment(F'_{2}, F'_{1}) → q
19. If(n ≟ 0, (x - h)^(2) / j_1^(2) - (y - k)^(2) / i_1^(2) = 1, (y - k)^(2) / i_1^(2) - (x - h)^(2) / j_1^(2) = 1) → eq2
20. Line(F'_{2}, F) → p
21. Line(F', F'_{1}) → g_1
22. Distance(A, D) → c_1
23. RotateText(text1, pi / 2) → text2