相似三角形构造的无穷等比级数求和

GeoGebra 命令及参数

1. Point(b) → A
2. OrthogonalLine(A, b) → c
3. Intersect(a, c) → B
4. Circle(A, B) → d
5. Intersect(d, b, 2) → C
6. OrthogonalLine(C, b) → e
7. Intersect(a, e) → D
8. Point(e) → E
9. Ray(A, E) → f
10. Intersect(a, f) → F
11. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
12. Ray(B, D) → g
13. Polygon(A, F, B) → poly2, b_2, a_2, f_1
14. Segment(D, E) → r
15. Rotate(E, 270*°, D) → E'
16. OrthogonalLine(E', a_2) → h
17. Intersect(h, f) → G
18. Segment(G, E') → i
19. Segment(D, E') → j
20. Rotate(G, 270*°, E') → G'
21. Segment(E', G') → k
22. OrthogonalLine(G', a_2) → l
23. Intersect(l, f) → H
24. Segment(H, G') → m
25. Rotate(l, 270*°, G') → l'
26. Rotate(H, 270*°, G') → H'
27. Rotate(G', 270*°, G') → G''
28. Segment(H', G'') → m'
29. Line(H', d_1) → n
30. Intersect(n, f) → I
31. Segment(I, H') → p
32. Segment(C, E) → q
33. Polygon(A, C, E) → poly3, e_1, a_3, c_2
34. Distance(C, E) → CE
35. Distance(A, C) → AC
36. Polygon(J, K, L) → poly4, l_1, j_1, k_1
37. Distance(A, B) → AB
38. Intersect(f, g) → O
39. Distance(B, O) → BO
40. Polygon(N, M, P) → poly5, p_1, n_1, m_1