构造直角三角形 by Nenad Đapić

GeoGebra 命令及参数

1. Point(Circle[P, 3]) → Q
2. Segment(P, Q) → h
3. Point(Circle[R, 4]) → S
4. Segment(R, S) → t
5. Intersect(xAxis, yAxis) → A_{0}
6. Circle(A_{0}, h) → c
7. Intersect(c, yAxis, 2) → A
8. Ray(A, A_{0}) → f
9. Intersect(c, f, 2) → T
10. Circle(A, t) → d
11. Circle(T, t) → e
12. Intersect(d, e, 1) → U
13. Rotate(U, 15°, A) → B'
14. Rotate(U, (-(15°)), A) → B'_1
15. CircleArc(A, B'_1, B') → g
16. Rotate(U, 15°, T) → B'_2
17. Rotate(U, (-(15°)), T) → B'_3
18. CircleArc(T, B'_3, B'_2) → k
19. Intersect(g, k, 1) → A_{1}
20. Polygon(A, A_{0}, A_{1}) → t1, a_{1}, a, a_{0}
21. Angle(A_{1}, A_{0}, A) → α
22. Line(A_{1}, A_{0}) → i
23. Circle(A_{1}, t) → p
24. Intersect(p, i, 2) → B
25. Intersect(p, i, 1) → C
26. Polygon(A, B, C) → t2, d_1, a_2, c_1
27. Angle(C, A, B) → β