等腰三角形的连续构造与几何关系探索

GeoGebra 命令及参数

1. Polygon(C, A, B) → poly1, b, c, a_1
2. Point(Circle[D, 8]) → E
3. Segment(D, E) → f
4. Point(Circle[D, 8]) → F
5. Segment(D, F) → g
6. Point(Circle[F, 8]) → G
7. Segment(F, G) → h
8. Line(D, E) → i
9. Polygon(D, F, G) → poly2, g_1, d, f_1
10. Polygon(D, F, E) → poly3, e, d_1, f_2
11. Segment(D, E) → j
12. Angle(D, E, F) → α
13. Angle(E, F, D) → β
14. Angle(E, G, F) → γ
15. Angle(F, D, E) → δ
16. Midpoint(H, I) → J
17. Ray(H, J) → k
18. OrthogonalLine(J, k) → l
19. Point(l) → K
20. Segment(K, H) → m
21. Segment(K, I) → n
22. Point(k) → L
23. Angle(L, I, K) → ε
24. Mirror(M, N) → M'
25. Segment(M, M') → p
26. OrthogonalLine(N, p) → q
27. Point(q) → O
28. Segment(M, O) → r
29. Segment(M', O) → s
30. Segment(M', M) → t
31. Ray(M, O) → h_1
32. Point(h_1) → P
33. Angle(P, O, M') → ζ
34. Angle(K, I, H) → η
35. Angle(I, H, K) → θ
36. Angle(H, K, I) → ι
37. Angle(M, M', O) → κ
38. Angle(M', O, M) → λ
39. Angle(O, M, M') → μ