缩放线段：几何变换的直观演示

GeoGebra 命令及参数

1. Line(B, C) → m
2. Dilate(m, k, O) → m'
3. Intersect(m, t) → O_1
4. Line(O, C) → f
5. Circle(C, 2) → g
6. Intersect(m', f) → E
7. Circle(E, 2) → h
8. Intersect(g, m, 2) → F
9. Intersect(g, f, 2) → G
10. Intersect(h, m', 2) → H
11. Intersect(h, f, 2) → I
12. Intersect(g, m, 1) → J
13. Intersect(g, f, 1) → K
14. CircleSector(C, F, G) → q
15. Angle(F, C, G) → α
16. Angle(J, C, G) → β
17. CircleSector(C, J, G) → c
18. Intersect(h, m', 1) → N
19. Dilate(C, 1 - i, E) → C'_3
20. Vector(C, C'_3) → u
21. Translate(q, u) → q'
22. Translate(c, u) → c'
23. Circle(O, 2) → e
24. Segment(B, C) → preimage
25. Dilate(B, k, O) → B'_2
26. Dilate(C, k, O) → C'_1
27. Segment(B'_2, C'_1) → image
28. Dilate(B, k, O) → B'
29. Dilate(C, k, O) → C'
30. Point(m') → A
31. Ray(C', A) → j
32. Point(j) → D
33. Point(m) → P
34. Ray(C, P) → l
35. Point(l) → Q