三角形的内心、外心与重心位置探究

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, c, a, b
2. AngularBisector(B, A, C) → d
3. AngularBisector(A, B, C) → e
4. AngularBisector(B, C, A) → f
5. LineBisector(A, B) → g
6. LineBisector(B, C) → h
7. LineBisector(A, C) → i
8. Midpoint(A, B) → D
9. Midpoint(B, C) → E
10. Midpoint(A, C) → F
11. Ray(B, F) → j
12. Ray(A, E) → k
13. Ray(C, D) → l
14. Intersect(g, h) → X
15. Intersect(d, e) → Y
16. Intersect(e, j) → I
17. Intersect(j, k) → Z
18. Angle(X, E, B) → α
19. Angle(X, D, A) → β
20. Angle(A, F, X) → γ
21. Segment(C, F) → p
22. Segment(F, A) → q
23. Segment(A, D) → r
24. Segment(D, B) → s
25. Segment(B, E) → t
26. Segment(C, E) → a_1
27. Angle(D, A, Y) → δ
28. Angle(Y, A, F) → ε
29. Angle(Y, C, E) → ζ
30. Angle(F, C, Y) → η
31. Angle(Y, B, D) → θ
32. Angle(B, I, Y) → ι
33. Angle(E, B, Y) → κ
34. Circle(X, C) → c_1
35. OrthogonalLine(Y, a) → b_1
36. Intersect(b_1, a) → G
37. Circle(Y, G) → d_1