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正态分布与表格演示

正态分布与表格演示
几何画板及绘图内容加载中，请稍等……
2020-07-03 15:11
函数微积分概率统计函数图像
①本范例演示正态分布曲线及其概率密度函数的图形化表示；②涉及的核心数学概念包括正态分布、概率统计、微积分中的积分与导数；③作图要点——使用了Point, Random, Textfield, Intersect, Integral, OrthogonalLine, Segment, LaTeX, Vector等GeoGebra命令与对象；④适合高中及以上学生及数学爱好者用于学习和理解正态分布的性质与计算。

GeoGebra 命令及参数

  1. Point(xAxis) → K
  2. Random(5, 20) → ii
  3. Point(xAxis) → N
  4. Point(xAxis) → M
  5. Point(xAxis) → I
  6. Textfield(σ) → InputBox1
  7. Textfield(μ) → InputBox2
  8. Intersect(b, k) → U
  9. Intersect(xAxis, b) → V
  10. Integral(f, x(M), x(N)) → o
  11. Intersect(xAxis, k) → F_1
  12. Point(k) → R_1
  13. Point(k) → S_1
  14. OrthogonalLine(K, k) → i
  15. Intersect(i, k) → L
  16. OrthogonalLine(B, k) → m
  17. OrthogonalLine(C, k) → n
  18. OrthogonalLine(E, k) → p
  19. OrthogonalLine(A, k) → q
  20. OrthogonalLine(D, k) → r
  21. OrthogonalLine(FF, k) → s
  22. OrthogonalLine(G, k) → t
  23. OrthogonalLine(H, k) → f_1
  24. OrthogonalLine(J, k) → g_1
  25. Intersect(g_1, k) → O
  26. Intersect(f_1, k) → P
  27. Intersect(t, k) → Q
  28. Intersect(s, k) → R
  29. Intersect(r, k) → S
  30. Intersect(q, k) → T
  31. Intersect(m, k) → W
  32. Intersect(n, k) → Z
  33. Intersect(p, k) → A_1
  34. Intersect(f, t, (-2, 0.05399096651318806)) → B_1
  35. Intersect(f, s, (-1, 0.24197072451914337)) → C_1
  36. Intersect(f, r, (0, 0.3989422804014327)) → D_1
  37. Intersect(f, q, (1, 0.24197072451914337)) → E_1
  38. Intersect(f, m, (2, 0.05399096651318806)) → G_1
  39. Intersect(f, n, (3, 0.004431848411938008)) → H_1
  40. Intersect(f, f_1, (-3, 0.004431848411938008)) → I_1
  41. Segment(C_1, FF) → h_1
  42. Segment(D_1, D) → i_1
  43. Segment(E_1, A) → j_1
  44. Segment(G_1, B) → k_1
  45. Segment(B_1, G) → l_1
  46. Point(k) → J_1
  47. Point(k) → K_1
  48. Segment(J_1, K_1) → m_1
  49. Textfield(v) → InputBox3
  50. Point(f) → L_1
  51. Point(f) → M_1
  52. Segment(L_1, M_1) → n_1
  53. LaTeX(f, true, true) → text48
  54. Intersect(p_1, n_1) → N_1
  55. Intersect(p_1, m_1) → O_1
  56. Vector(N_1, O_1) → u_1
  57. OrthogonalLine(I, m_1) → q_1
  58. Intersect(q_1, m_1) → P_1
  59. Vector(I, P_1) → v_1
  60. Vector(K, L) → w_1
  61. OrthogonalLine(N, m_1) → r_1
  62. OrthogonalLine(M, m_1) → s_1
  63. Intersect(r_1, m_1) → Q_1
  64. Intersect(s_1, m_1) → T_1
  65. Vector(N, Q_1) → a_1
  66. Vector(M, T_1) → b_1
  67. Integral(f, x(K), 4.5, false) → j
  68. Integral(f, -4.5, x(I), false) → e