平行线与截线：交错内角探究

GeoGebra 命令及参数

1. Point(y = 0) → A
2. Line(A, B) → f
3. Rotate(B, α, A) → B'
4. Angle(B, A, B') → γ
5. Line(A, B') → g
6. Rotate(B', β, A) → B''
7. Angle(B', A, B'') → δ
8. Line(A, B'') → h
9. Circle(A, a) → c
10. Intersect(c, h, 2) → C
11. Line(C, g) → i
12. Circle(C, A) → d
13. Circle(A, C) → e
14. Intersect(e, h, 2) → J
15. Segment(A, C) → j
16. Circle(A, (0.3 * j)) → k
17. Circle(C, (0.3 * j)) → p
18. Intersect(p, h) → N, O
19. Intersect(k, h) → P, Q
20. Intersect(k, g) → T, U
21. Intersect(p, i, 2) → V
22. Intersect(p, i, 1) → W
23. CircleSector(A, U, Q) → q
24. Circle(C, j / 2) → g_1
25. Circle(A, j / 2) → h_1
26. Intersect(g_1, i, 2) → D
27. Intersect(g_1, i, 1) → E
28. Intersect(g_1, h, 2) → H
29. Intersect(g_1, h) → I, Z
30. Intersect(h_1, h) → A_1, B_1
31. Intersect(h_1, g) → E_1, F_1
32. Point(j) → G_1
33. Vector(A, G_1) → u
34. Translate(q, u) → q'
35. Segment(A, G_1) → l
36. Ray(A, A_1) → m
37. Ray(C, H) → n
38. Vector(A, G_1) → v
39. Segment(G_1, C) → s
40. CircleArc(A, U, Q) → t
41. CircleArc(C, N, O) → r
42. Point(r) → F
43. Rotate(F, (-δ), C) → F'
44. Angle(F', C, F) → ε
45. CircleSector(C, F', F) → c_1
46. Segment(A, C) → b