椭圆标准方程的书写：由几何要素到解析表达

GeoGebra 命令及参数

1. Sequence(i, i, 1, 10, 1) → l2
2. Sequence(i, i, -10, -1, 1) → l1
3. Union(l1, l2) → l3
4. Point(Ray[A + (0, 1), A + (0, 2)]) → H
5. Distance(A, H) → c_1
6. Point(Ray[A + (1, 0), A + (2, 0)]) → E
7. Distance(A, E) → d_1
8. Point(Segment[(h + 1, y(C) + 10), (h + 1, y(C) - 10)]) → D
9. Line(A, B) → f
10. Vector(A, C) → u
11. Polygon(A, C, B) → t1, b, a_1, c
12. Segment(A, C) → h_{1}
13. Vector((h, 0), A) → w
14. Vector((0, 0), (h, 0)) → j
15. Distance(A, E) → n
16. Vector(A, E) → v
17. Point(p) → F
18. Intersect(eq1, q) → G
19. Polygon(A, G, F) → t2, f_1, a_2, g_1
20. Segment(F, A) → r
21. Segment(A, G) → s
22. Segment(G, F) → t
23. Angle(A, G, F) → α
24. RotateText(text18, pi / 2) → text20
25. RotateText(text19, pi / 2) → text21
26. Vector(A, H) → u_1
27. Random(-8, 8) → e_1
28. Random(-8, 8) → j_1
29. RandomElement(l3) → k_1
30. RandomElement(l3) → i_1
31. If(e_1 < 0, (x + e_1)^(2), (x - e_1)^(2)) → p_1
32. If(e_1 < 0, text5, e_1 > 0, text4, text9) → text8
33. If(j_1 < 0, text7, j_1 > 0, text6, text10) → text11
34. Center(eq2) → I
35. Vertex(eq2) → J, K, L, M
36. Textfield(eq3) → InputBox1