三角形的主要元素

GeoGebra 命令及参数

1. Circle(B, c) → k
2. Circle(C, b) → d_1
3. Intersect(k, d_1, 1) → A
4. Polygon(A', B, C) → poly1, c_2, a_2, b_5
5. LineBisector(a_2) → m_{BC}
6. LineBisector(c_2) → m_{AB}
7. LineBisector(b_5) → m_{AC}
8. Intersect(m_{AC}, m_{BC}) → O
9. AngularBisector(a_2, c_2) → pb_{ac}, b_2
10. AngularBisector(a_2, b_5) → pb_{ab}, b_3
11. AngularBisector(b_5, c_2) → pb_{bc}, b_4
12. Intersect(b_2, b_4) → I
13. Circle(I, Distance[I, c_2]) → C_{ins}
14. OrthogonalLine(A', a_2) → h_A
15. OrthogonalLine(C, c_2) → h_C
16. OrthogonalLine(B, b_5) → h_B
17. Intersect(h_C, h_A) → H
18. Line(B, Midpoint[b_5]) → m_B
19. Line(A', Midpoint[a_2]) → m_A
20. Line(C, Midpoint[c_2]) → m_C
21. Intersect(m_A, m_B) → G
22. Circle(O, C) → C_{circ}
23. Line(H, O) → r_{Euler}
24. Midpoint(c_2) → M_{AB}
25. Midpoint(b_5) → M_{AC}
26. Midpoint(a_2) → M_{BC}
27. Circle(M_{AB}, M_{BC}, M_{AC}) → C_{FB}
28. Intersect(h_C, c_2) → P_{AB}
29. Intersect(h_B, b_5) → P_{AC}
30. Intersect(h_A, a_2) → P_{BC}
31. Midpoint(H, A') → P_A
32. Midpoint(H, B) → P_B
33. Midpoint(H, C) → P_C
34. Segment(D, E) → a_1
35. Segment(D, F) → b_1
36. Segment(D, J) → c_1
37. Intersect(C_{FB}, r_{Euler}) → P_{EF1}, P_{EF2}
38. Midpoint(P_{EF1}, P_{EF2}) → C_{F}
39. Segment(D, K) → e_1
40. Intersect(pb_{bc}, pb_{ab}) → C_{b}
41. Intersect(pb_{ac}, pb_{ab}) → C_{a}
42. Intersect(pb_{bc}, pb_{ac}) → C_{C}
43. Circle(C_{C}, Distance[C_{C}, c_2]) → Ext_{C}
44. Circle(C_{b}, Distance[C_{b}, b_5]) → Ext_{b}
45. Circle(C_{a}, Distance[C_{a}, a_2]) → Ext_{a}
46. Segment(M_{AB}, M_{BC}) → b_{ac}
47. Segment(M_{BC}, M_{AC}) → b_{ab}
48. Segment(M_{AC}, M_{AB}) → b_{bc}
49. Line(A', C) → r_{AC}
50. Line(C, B) → r_{BC}
51. Line(B, A') → r_{AB}
52. Intersect(k, d_1) → L, M, ,