坐标平面中两条特殊直线的动态探究

GeoGebra 命令及参数

1. Rotate(B, (a * π / 180), A) → B'
2. Angle(B, A, B') → α
3. Ray(A, B') → g
4. Line(A, B') → h
5. Point(h) → C
6. Ray(B', C) → i
7. Point(i) → D
8. Line(E, h) → j
9. Circle(D, b) → c
10. Intersect(c, k, 2) → F
11. Intersect(h, l) → G
12. Segment(G, F) → m
13. Segment(F, D) → n
14. Min(m, n) → d
15. Circle(F, (0.3 * d)) → e
16. Intersect(e, k, 2) → H
17. Intersect(e, m, 1) → I
18. Polygon(D, F, G) → poly1, g_1, d_1, f_1
19. Dilate(G, If[0 < o ≤ 1, 1 - o, 0], F) → G'
20. Segment(G, G') → r
21. Dilate(F, If[1 < o ≤ 2, 2 - o, 0], D) → F'
22. Segment(F, F') → s
23. Dilate(D, If[3 < o ≤ 4, 4 - o, 0], E) → D'
24. Vector(D, D') → u
25. Translate(D, u) → D'_1
26. Translate(F, u) → F'_1
27. Translate(G, u) → G'_1
28. Polygon(D'_1, F'_1, G'_1) → poly1', g'_1, d'_1, f'_1
29. Translate(G, u) → G'_2
30. Translate(G', u) → G''
31. Segment(G'_2, G'') → r'
32. Translate(F, u) → F'_2
33. Translate(F', u) → F''
34. Segment(F'_2, F'') → s'
35. Segment(D'_1, G'_1) → h_1
36. Angle(G, F, D) → β
37. Angle(G'_1, F'_1, D'_1) → γ
38. Point(h) → J
39. Circle(J, 4) → p
40. Intersect(p, h, 2) → K
41. Rotate(K, (q * π / 180), J) → K'
42. Angle(K, J, K') → δ
43. Line(J, K') → t
44. Intersect(j, t) → L
45. Dilate(J, If[-3 < o ≤ -2, -2 - o, 0], L) → J'
46. Segment(J, J') → i_1
47. Line(J, L) → j_1
48. Circle(J, (0.3 * Distance[j, h])) → c_1
49. Intersect(c_1, h, 2) → M
50. Rotate(M, If[-2 < o ≤ -1, ((o + 2) * δ), δ], J) → M'
51. CircleSector(J, M, M') → e_1
52. Dilate(J, If[-1 < o ≤ 0, (-o), 0], L) → J'_1
53. Vector(J, J'_1) → v
54. Translate(e_1, v) → k_1