对称数字与抛物面镜：几何变换下的反射与旋转

GeoGebra 命令及参数

1. Line(B, C) → f
2. Parabola(A, f) → c
3. Circle(H, a) → d
4. Point(d) → M
5. Segment(H, M) → i
6. Rotate(M, 60°, H) → M'
7. Angle(M, H, M') → α
8. Segment(H, M') → k
9. Rotate(M', 60°, H) → M''
10. Angle(M', H, M'') → β
11. Segment(H, M'') → l
12. Rotate(M'', 60°, H) → M'''
13. Angle(M'', H, M''') → γ
14. Segment(H, M''') → m
15. Rotate(M''', 60°, H) → N
16. Angle(M''', H, N) → δ
17. Segment(H, N) → n
18. Rotate(N, 60°, H) → N'
19. Angle(N, H, N') → ε
20. Segment(H, N') → p
21. Line(D, A) → g
22. Line(M, g) → h
23. Intersect(c, h, 1) → E
24. Line(M', g) → j
25. Intersect(c, j, 1) → F
26. Line(M'', g) → q
27. Intersect(c, q, 1) → G
28. Line(M''', g) → r
29. Intersect(c, r, 1) → I
30. Line(N, g) → s
31. Intersect(c, s, 1) → J
32. Line(N', g) → t
33. Intersect(c, t, 1) → K
34. Segment(G, A) → b
35. Segment(F, A) → e
36. Segment(I, A) → f_1
37. Segment(E, A) → g_1
38. Segment(J, A) → h_1
39. Segment(K, A) → i_1
40. Segment(M'', G) → j_1
41. Segment(M', F) → k_1
42. Segment(M''', I) → l_1
43. Segment(M, E) → m_1
44. Segment(N, J) → n_1
45. Segment(N', K) → p_1
46. Line(H, g) → q_1
47. Intersect(c, q_1, 1) → L
48. Segment(L, A) → r_1
49. Segment(H, L) → s_1