随机三等分杆的概率模拟

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Polygon(A, B, 3) → poly1, a, b, c, C
4. Midpoint(c) → D
5. Midpoint(b) → E
6. Midpoint(a) → F
7. Polygon(E, D, 3) → poly2, d, e, f, G
8. Segment(C, F) → g
9. Min(h, i) → len1
10. Max(h, i) → k
11. Line(C, A) → l
12. Segment(D, B) → m
13. UnitVector(m) → u
14. Translate(l, Vector[(u * len2)]) → l'
15. Intersect(j, l') → H
16. OrthogonalLine(H, b) → n
17. OrthogonalLine(H, a) → p
18. OrthogonalLine(H, c) → q
19. Intersect(q, c) → I
20. Intersect(n, b) → J
21. Intersect(p, a) → K
22. Segment(I, H) → r
23. Segment(H, K) → s
24. Segment(H, J) → t
25. Segment(L, M) → a_1
26. Segment(M, N) → b_1
27. Segment(N, O) → c_1
28. Segment(S, R) → d_1
29. Segment(R, Q) → e_1
30. Segment(Q, P) → f_1
31. Segment(P, S) → g_1
32. Segment(P, R) → h_1
33. Segment(S, Q) → i_1
34. Midpoint(e_1) → T
35. Midpoint(f_1) → U
36. Midpoint(g_1) → V
37. Midpoint(d_1) → W
38. Intersect(i_1, h_1) → A_1
39. Polygon(V, W, U, T) → poly3, v, w, u_1, t_1
40. Segment(Z, C_1) → j_1
41. Segment(Z, B_1) → k_1
42. Sort({a_1, b_1, c_1}) → list1
43. Circle(D_1, b_1) → p_1
44. Circle(E_1, c_1) → q_1
45. Intersect(p_1, q_1, 1) → F_1
46. Polygon(D_1, F_1, E_1) → poly4, e_2, d_2, f_2