垂心对称性演示

GeoGebra 命令及参数

1. Circle((0, 0), 2.5) → c_2
2. Point(c_2) → A
3. Point(c_2) → B
4. Point(c_2) → C
5. Polygon(A, B, C) → t1, c, a, b
6. Angle(C, A, B) → α
7. Angle(A, B, C) → β
8. Angle(B, C, A) → γ
9. Line(B, C) → f_a
10. Line(A, C) → f_b
11. Line(A, B) → f_c
12. OrthogonalLine(A, f_a) → fh_a
13. OrthogonalLine(B, f_b) → fh_b
14. OrthogonalLine(C, f_c) → fh_c
15. Intersect(f_a, fh_a) → D
16. Intersect(f_b, fh_b) → E
17. Intersect(f_c, fh_c) → F
18. Intersect(fh_a, fh_b) → H
19. Segment(C, F) → h_c
20. Segment(A, D) → h_a
21. Segment(B, E) → h_b
22. Segment(A, H) → h_{aH}
23. Segment(B, H) → h_{bH}
24. Segment(C, H) → h_{cH}
25. Segment(A, F) → l_1
26. Segment(A, E) → m_1
27. Segment(C, D) → r_1
28. Segment(C, E) → m_2
29. Segment(D, B) → r_2
30. Segment(B, F) → l_2
31. Intersect(c_2, fh_a, 2) → H_a
32. Intersect(c_2, fh_b, 2) → H_b
33. Intersect(c_2, fh_c, 2) → H_c
34. Segment(H_c, B) → bh_c
35. Segment(B, H_a) → bh_a
36. Segment(H_a, C) → ch_a
37. Segment(C, H_b) → ch_b
38. Segment(H_b, A) → ah_b
39. Segment(A, H_c) → ah_c
40. Segment(E, H_b) → bh_b
41. Segment(D, H_a) → ah_a
42. Segment(F, H_c) → ch_c
43. Circle(B, H) → c_b
44. Circle(C, H) → c_c
45. Circle(A, H) → c_a
46. Mirror(c_2, a) → d
47. Mirror(c_2, b) → e
48. Mirror(c_2, c) → f