正态曲线的几何分析

GeoGebra 命令及参数

1. Integral(f, 0, 1) → pr_N
2. Integral(g, 0, 0.851) → Area_σ
3. Name(Area_σ) → C1
4. Name(pr_N) → A1
5. Name(pr_σ) → B1
6. Vector((0.5015760690660556, 0)) → u
7. Vector((0, 0.5015760690660556)) → v
8. Vector((0.5015760690660556, 0.5015760690660556)) → w
9. Point(c_v) → A
10. Point(h) → D
11. Point(d) → B
12. Segment(B, D) → a
13. Segment(D, A) → b
14. CircleArc(C, B, A) → c
15. Integral(g(x) / σ, 0, 0.851) → Rv
16. Segment(C, D) → i_2
17. Segment(B, A) → j
18. Name(k) → D1
19. Intersect(p, a, 1) → σ_∨
20. Segment(C, σ_∨) → l
21. Angle(σ_∨, C, D) → α
22. Intersect(f, f_1, (1.066731473723258, 0.06459927655136193)) → F
23. Point(f) → G
24. Segment(G, F) → Δ
25. Point(f_1) → H
26. Point(f_1) → I
27. Point(f_1) → J
28. Point(f_1) → K
29. Polygon(F, I, J, K, H, G) → poly1, f_2, i_1, j_1, k_1, h_1, g_2
30. Point(p_1) → L
31. Point(i_2) → M
32. Point(c) → N
33. Point(c) → O
34. Point(g_1) → P
35. Segment(σ_∨, M) → e_e
36. Point(p_1) → R
37. Segment(R, M) → a_1
38. Point(p_1) → S
39. Distance(R, S) → distanceRS
40. Distance(R, M) → distanceRM
41. Intersect(pr_N, p_1, (0.40536109480235216, 0.48331734052759795)) → T
42. Distance(R, T) → distanceRT
43. Distance(R, σ_∨) → distanceRσ∨
44. Segment(R, σ_∨) → b_1
45. Point(p_1) → W
46. Distance(R, W) → distanceRW
47. Distance(S, E) → distanceSE
48. Distance(T, E) → distanceTE
49. Distance(R, E) → distanceRE
50. Distance(W, E) → distanceWE
51. Distance(W, P) → distanceWP
52. Distance(R, P) → distanceRP
53. Distance(T, P) → distanceTP
54. Distance(S, P) → distanceSP
55. Distance(T, V) → distanceTV
56. Distance(T, U) → distanceTU
57. Segment(T, U) → c_1
58. Segment(U, V) → d_1
59. Angle(V, U, T) → β
60. Vector(Z, A_1) → u_1
61. Translate(C, u_1) → C'
62. Translate(σ_∨, u_1) → B_1
63. Segment(C', B_1) → l'
64. Segment(T, B_1) → e_1
65. Polygon(T, U, B_1) → poly2, b_2, t_1, u_2
66. Point(e_1) → C_1
67. Segment(Q, P) → m_1