正切函数的特殊性质（动态演示）

GeoGebra 命令及参数

1. Mirror(g, x = 0) → g_1
2. Point(g) → F
3. Intersect(h, y = 0) → G
4. Mirror(G, x = 0) → G'
5. Mirror(F, A) → F'
6. Dilate(H, If[0 < e ≤ 1, 1 - e, 0], G) → H'
7. Segment(H, H') → i
8. Dilate(G, If[1 < e ≤ 2, 2 - e, 0], F) → G'_1
9. Segment(G, G'_1) → j
10. Rotate(H, If[2 < e ≤ 3, ((-(e - 2)) * π), (-π)], H) → H'_1
11. Rotate(H', If[2 < e ≤ 3, ((-(e - 2)) * π), (-π)], H) → H''
12. Segment(H'_1, H'') → i'
13. Dilate(G', If[3 < e ≤ 4, 4 - e, 0], F') → G''
14. Segment(G', G'') → k
15. Dilate(F, If[4 < e ≤ 5, 5 - e, 0], F') → F'_1
16. Vector(F, F'_1) → u
17. Translate(G, u) → G'_2
18. Translate(G'_1, u) → I
19. Mirror(g, A) → g_2
20. Rotate(G, If[4 < e ≤ 5, ((-(e - 4)) * π), (-π)], G) → G'_3
21. Rotate(G'_1, If[4 < e ≤ 5, ((-(e - 4)) * π), (-π)], G) → J
22. Segment(G'_3, J) → j'
23. Dilate(G, If[5 < e ≤ 6, 6 - e, 0], G') → G'_4
24. Vector(G, G'_4) → v
25. Translate(G'_3, v) → K
26. Translate(J, v) → J'
27. Segment(K, J') → j''