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正态分布演示 by JOSE GONZALEZ

正态分布演示 by JOSE GONZALEZ
几何画板及绘图内容加载中，请稍等……
2020-05-13 19:14
函数积分概率统计几何作图函数图像
①本范例演示正态分布的图形与性质；②涉及核心数学概念包括正态分布函数、积分、椭圆、分段函数等；③构造中使用了Point, Random, Integral, Textfield, Intersect, OrthogonalLine, Segment, LaTeX, CountIf, Vector等GeoGebra命令与对象；④适合高中及以上学生及数学爱好者学习概率统计知识。

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. Integral(f, x(K), Infinity, false) → j
  7. Textfield(σ) → InputBox1
  8. Textfield(μ) → InputBox2
  9. Integral(f, -Infinity, x(I), false) → e
  10. Intersect(b, k) → U
  11. Intersect(xAxis, b) → V
  12. Integral(f, x(M), x(N)) → o
  13. Intersect(xAxis, k) → F_1
  14. Point(k) → R_1
  15. Point(k) → S_1
  16. OrthogonalLine(K, k) → i
  17. Intersect(i, k) → L
  18. OrthogonalLine(B, k) → m
  19. OrthogonalLine(C, k) → n
  20. OrthogonalLine(E, k) → p
  21. OrthogonalLine(A, k) → q
  22. OrthogonalLine(D, k) → r
  23. OrthogonalLine(FF, k) → s
  24. OrthogonalLine(G, k) → t
  25. OrthogonalLine(H, k) → f_1
  26. OrthogonalLine(J, k) → g_1
  27. Intersect(g_1, k) → O
  28. Intersect(f_1, k) → P
  29. Intersect(t, k) → Q
  30. Intersect(s, k) → R
  31. Intersect(r, k) → S
  32. Intersect(q, k) → T
  33. Intersect(m, k) → W
  34. Intersect(n, k) → Z
  35. Intersect(p, k) → A_1
  36. Intersect(f, t, (-2, 0.05399096651318806)) → B_1
  37. Intersect(f, s, (-1, 0.24197072451914337)) → C_1
  38. Intersect(f, r, (0, 0.3989422804014327)) → D_1
  39. Intersect(f, q, (1, 0.24197072451914337)) → E_1
  40. Intersect(f, m, (2, 0.05399096651318806)) → G_1
  41. Intersect(f, n, (3, 0.004431848411938008)) → H_1
  42. Intersect(f, f_1, (-3, 0.004431848411938008)) → I_1
  43. Segment(C_1, FF) → h_1
  44. Segment(D_1, D) → i_1
  45. Segment(E_1, A) → j_1
  46. Segment(G_1, B) → k_1
  47. Segment(B_1, G) → l_1
  48. Point(k) → J_1
  49. Point(k) → K_1
  50. Segment(J_1, K_1) → m_1
  51. Textfield(v) → InputBox3
  52. Point(f) → L_1
  53. Point(f) → M_1
  54. Segment(L_1, M_1) → n_1
  55. LaTeX(f, true, true) → text48
  56. CountIf(μ - σ < x < μ + σ, list1) → AAA
  57. LaTeX(AAA, true, true) → text41
  58. CountIf(μ - (2 * σ) ≤ x ≤ μ + (2 * σ), list1) → BBB
  59. CountIf(μ - (3 * σ) ≤ x ≤ μ + (3 * σ), list1) → CCC
  60. LaTeX(BBB, true, true) → text42
  61. LaTeX(CCC, true, true) → text44
  62. Intersect(p_1, n_1) → N_1
  63. Intersect(p_1, m_1) → O_1
  64. Vector(N_1, O_1) → u_1
  65. OrthogonalLine(I, m_1) → q_1
  66. Intersect(q_1, m_1) → P_1
  67. Vector(I, P_1) → v_1
  68. Vector(K, L) → w_1
  69. OrthogonalLine(N, m_1) → r_1
  70. OrthogonalLine(M, m_1) → s_1
  71. Intersect(r_1, m_1) → Q_1
  72. Intersect(s_1, m_1) → T_1
  73. Vector(N, Q_1) → a_1
  74. Vector(M, T_1) → b_1