位似三角形中心到顶点距离的探究

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, c, a, b
2. Dilate(A, SF, E) → A'
3. Dilate(B, SF, E) → B'
4. Dilate(C, SF, E) → C'
5. Polygon(A', B', C') → poly1', c', a', b'
6. Angle(poly1) → α, β, γ
7. Angle(poly1') → δ, ε, ζ
8. Line(E, A) → f
9. Line(E, B) → g
10. Line(E, C) → h
11. Polygon(A_1, B_1, C_1) → poly1_1, c_1, a_1, b_1
12. Angle(poly1_1) → α_1, β_1, γ_1
13. Polygon(A_2, B_2, C_2) → poly1_2, c_2, a_2, b_2
14. Angle(poly1_2) → α_2, β_2, γ_2
15. Polygon(A_3, B_3, C_3) → poly1_3, c_3, a_3, b_3
16. Angle(poly1_3) → α_3, β_3, γ_3
17. Segment(E, B) → eb
18. Segment(E, B') → eb'
19. Segment(E, A) → ea
20. Segment(E, A') → ea'
21. Segment(E, C) → ec
22. Segment(E, C') → ec'