向心力的几何与向量证明：圆周运动模型

GeoGebra 命令及参数

1. Segment(S, A) → f
2. Segment(A, B) → g
3. Segment(B, S) → h
4. Point(h) → V
5. Line(A, B) → i
6. Circle(B, A) → c_{1}
7. Intersect(c_{1}, i, 2) → c
8. Segment(B, c) → j
9. Line(V, g) → k
10. Line(c, h) → l
11. Intersect(k, l) → C
12. Segment(C, c) → m
13. Segment(V, C) → n
14. Segment(C, S) → p
15. Segment(c, S) → q
16. Segment(B, C) → r
17. Polygon(S, A, B) → k1, b, s, a
18. Polygon(S, B, c) → k2, c_2, s_1, b_1
19. Polygon(S, B, C) → k3, c_3, s_2, b_2
20. Segment(B, V) → t
21. Segment(A, V) → d_{2}
22. Line(B, C) → e
23. Circle(C, B) → d_1
24. Intersect(d_1, e, 2) → d
25. Segment(d, S) → f_1
26. Point(p) → DD
27. Line(DD, e) → g_1
28. Line(d, p) → h_1
29. Intersect(g_1, h_1) → D
30. Segment(C, d) → i_1
31. Segment(d, D) → j_1
32. Segment(D, S) → k_1
33. Polygon(S, C, d) → k4, d_3, s_3, c_4
34. Polygon(S, C, D) → k5, d_4, s_4, c_5