圆的直角坐标与参数方程

GeoGebra 命令及参数

1. Intersect(c, xAxis, 2) → A
2. Intersect(xAxis, yAxis) → B
3. Rotate(A, θ, B) → A'
4. Angle(A, B, A') → α
5. OrthogonalLine(A', yAxis) → f
6. Intersect(f, yAxis) → C
7. Segment(C, A') → g
8. OrthogonalLine(A', xAxis) → h
9. Intersect(h, xAxis) → D
10. Segment(A', D) → i
11. Segment(B, A') → r_1
12. If(a ≟ 1, 0, a ≟ 2, r + 1, a ≟ 3, Yfixmax) → Ymax
13. If(a ≟ 1, 0, a ≟ 2, (-r) - 1, a ≟ 3, -1) → Xmin
14. OrthogonalLine(E, yAxis) → j
15. Intersect(j, yAxis) → F
16. Ray(E, F) → k
17. OrthogonalLine(G, xAxis) → l
18. Intersect(l, xAxis) → H
19. Segment(G, H) → m
20. If(a ≟ 1, 10, a ≟ 2, r + 1, a ≟ 3, 6.5) → Xmax
21. If(a ≟ 1, -1, a ≟ 2, -1, a ≟ 3, Yfixmin) → Ymin