三维三角形中心点

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, AB, BC, AC
2. LineBisector(AB) → d
3. LineBisector(BC) → e
4. LineBisector(AC) → f
5. Intersect(d, e) → D
6. AngularBisector(A, B, C) → g
7. AngularBisector(B, C, A) → h
8. AngularBisector(C, A, B) → i
9. Intersect(e, BC) → F
10. Intersect(f, AC) → G
11. Intersect(d, AB) → H
12. Segment(D, H) → DH
13. Segment(D, G) → DG
14. Segment(D, F) → DF
15. OrthogonalLine(B, AC) → t
16. OrthogonalLine(A, BC) → a_1
17. OrthogonalLine(C, AB) → b_1
18. Polygon(A', B', C') → poly2, A'B', B'C', A'C'
19. Midpoint(A'B') → H'
20. Midpoint(B'C') → F'
21. Midpoint(A'C') → G'
22. Segment(A', F') → A'F'
23. Segment(B', G') → B'G'
24. Segment(C', H') → C'H'
25. Intersect(B'G', A'F') → I'
26. Polygon(A'', B'', C'') → poly3, A''B'', B''C'', A''C''
27. AngularBisector(A'', B'', C'') → a
28. AngularBisector(B'', C'', A'') → b
29. AngularBisector(C'', A'', B'') → c
30. Intersect(a, b) → E''
31. Intersect(b, A''B'') → J''
32. Intersect(B''C'', c) → L''
33. Intersect(a, A''C'') → K''
34. Segment(A'', L'') → A''L''
35. Segment(B'', K'') → B''K''
36. Segment(C'', J'') → C''J''
37. Polygon(A''', B''', C''') → poly4, A'''B''', B'''C''', A'''C'''
38. Segment(A, A''') → AA'''
39. Segment(B, B''') → BB'''
40. Segment(C, C''') → CC'''
41. OrthogonalLine(B''', A'''C''', space) → m
42. OrthogonalLine(A''', B'''C''', space) → n
43. OrthogonalLine(C''', A'''B''', space) → p
44. Intersect(A'''B''', p) → O'''
45. Intersect(A'''C''', m) → P'''
46. Intersect(B'''C''', n) → N'''
47. Intersect(m, n) → M'''
48. Segment(A''', N''') → A'''N'''
49. Segment(B''', P''') → B'''P'''
50. Segment(C''', O''') → C'''O'''