第一象限单位圆的特殊直角三角形：切线与正切对应

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(yAxis) → B
3. Circle(A, B) → c
4. Intersect(c, xAxis, 2) → C
5. Rotate(C, 60°, A) → C'
6. Segment(A, C') → f
7. OrthogonalLine(C', xAxis) → g
8. Intersect(g, xAxis) → D
9. Segment(A, D) → h
10. Segment(D, C') → i
11. Angle(D, A, C') → α
12. Angle(A, D, C') → γ
13. Intersect(c, f, 1) → E
14. Intersect(c, f, 1) → F
15. Intersect(c, xAxis, 2) → G
16. Rotate(G, 30°, A) → G'
17. Rotate(G, 45°, A) → G'_{1}
18. OrthogonalLine(G'_{1}, xAxis) → j
19. OrthogonalLine(G', xAxis) → k
20. Intersect(j, xAxis) → H
21. Intersect(k, xAxis) → I
22. Segment(H, G'_{1}) → l
23. Segment(I, G') → m
24. Intersect(c, yAxis, 1) → J
25. Segment(A, H) → n
26. Segment(A, I) → p
27. Segment(A, G'_{1}) → q
28. Segment(A, G') → r
29. Intersect(c, m, 1) → K
30. Intersect(c, l, 1) → L