弦与割线的长度

GeoGebra 命令及参数

1. Circle((0, 0), 1) → c'
2. Point(c') → G
3. Line(Q, G) → qgLine
4. Intersect(c', qgLine) → h_1, h_2
5. Point(c') → E
6. Line(Q, E) → qeLine
7. Segment(E, Q) → QE
8. Intersect(c', qeLine) → f_{1}, f_2
9. Segment(Q, G) → QG
10. If(x(f_{1}) ≟ x(E), f_2, f_{1}) → F
11. Segment(F, Q) → QF
12. If(x(h_1) ≟ x(G), h_2, h_1) → H
13. Segment(Q, H) → QH
14. Length(QF) → qf
15. Length(QE) → qe
16. Length(QH) → qh
17. Length(QG) → qg
18. Polygon(A, F', A', E') → area1, a, f', a', e'
19. Polygon(B, H', B', G') → area2, b, h', b', g'
20. Segment(A, F') → QF'
21. Segment(A, E') → QE'
22. Segment(B, H') → QH'
23. Segment(B, G') → QG'