三角形角平分线与内心：内切圆探究发现

GeoGebra 命令及参数

1. Segment(A, B) → f
2. Slope(f) → m
3. PointIn(b) → C
4. Segment(B, C) → g
5. Segment(C, A) → h
6. Polygon(A, B, C) → poly1, c, a_1, b_1
7. Angle(poly1) → α, β, γ
8. Rotate(B, α / 2, A) → B'
9. Angle(B, A, B') → δ
10. Line(A, B') → i
11. Intersect(g, i) → D
12. Rotate(A, γ / 2, C) → A'
13. Angle(A, C, A') → ε
14. Line(C, A') → j
15. Intersect(j, f) → E
16. Rotate(C, β / 2, B) → C'
17. Angle(C, B, C') → ζ
18. Line(B, C') → k
19. Intersect(k, h) → F
20. Ray(C, E) → n
21. Ray(B, F) → p
22. Intersect(p, n) → I
23. Angle(I, A, C) → η
24. Angle(E, C, B) → θ
25. Angle(F, B, A) → ι
26. Ray(A, I) → l
27. Line(A, C) → q
28. Slope(q) → m_1
29. OrthogonalLine(I, f) → r
30. OrthogonalLine(I, g) → s
31. OrthogonalLine(I, h) → t
32. Intersect(t, h) → G
33. Intersect(r, f) → H
34. Intersect(s, g) → J
35. Segment(I, H) → e
36. Segment(I, J) → f_1
37. Segment(I, G) → g_1
38. Angle(I, H, A) → κ
39. Angle(I, J, B) → λ
40. Angle(I, G, C) → μ