特殊直角三角形在单位圆上的映射

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → O
2. Point(xAxis) → E
3. Circle(O, E) → c_1
4. Point(c_1) → X
5. Segment(O, X) → a
6. Distance(X, A_1) → b
7. Angle(E, O, X) → α
8. Segment(A_1, (x(A_1), 0)) → f
9. Segment(A_2, (x(A_2), 0)) → g
10. Segment(B_2, B_1) → h
11. Segment(C_2, C_1) → i
12. Vector(O, X) → u
13. Vector(X, (x(X), 0)) → v
14. Vector(X, (0, y(X))) → w
15. Point(u) → A
16. Segment(A, C_2) → e
17. Segment(A, B_2) → j
18. Segment(A, A_2) → k
19. Segment(A, A_3) → l
20. Segment(A, B_3) → m
21. Segment(A, C_3) → n
22. Segment(A, C_4) → p
23. Segment(A, B_4) → q
24. Segment(A, A_4) → r
25. Segment(A, A_1) → s_1
26. Segment(A, B_1) → t
27. Segment(A, C_1) → a_1
28. Polygon(X, (x(X), 0), A) → poly1, a_2, B, b_1
29. Polygon((abs(x(X)), abs(y(X))), A, (abs(x(X)), 0)) → poly2, d_1, e_1, a_3