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二项分布演示 by shanlee

二项分布演示 by shanlee
几何画板及绘图内容加载中，请稍等……
2015-02-15 17:00
概率统计几何作图函数图像
①本范例演示二项分布的概率计算与图形表示；②涉及核心数学概念包括概率统计、组合数学、几何图形绘制；③作图要点：使用 Point, Segment, Intersect, Polygon, If 命令，涉及 n, comb, p, prob, r 等对象；④适合高中及以上学生及数学爱好者学习概率分布与几何结合的应用。

GeoGebra 命令及参数

  1. Point(Circle[A, 1]) → V
  2. Segment(A, V) → a
  3. Point(xAxis) → W
  4. Intersect(xAxis, yAxis) → Z
  5. Polygon(A, V, W, Z) → poly01, a_1, v, w, z
  6. Point(Circle[B, 1]) → A_1
  7. Segment(B, A_1) → b
  8. Point(xAxis) → B_1
  9. Intersect(w, v) → C_1
  10. Polygon(B, A_1, B_1, C_1) → poly02, b_1, a_2, b_2, c_1
  11. Point(xAxis) → E_1
  12. Point(Circle[C, 1]) → D_1
  13. Segment(C, D_1) → c
  14. Point(Circle[D, 1]) → F_1
  15. Segment(D, F_1) → d
  16. Point(Circle[E, 1]) → G_1
  17. Segment(E, G_1) → e
  18. Point(Circle[G, 1]) → H_1
  19. Segment(G, H_1) → f
  20. Point(Circle[H, 1]) → I_1
  21. Segment(H, I_1) → g
  22. Point(Circle[I, 1]) → J_1
  23. Segment(I, J_1) → h
  24. Point(Circle[J, 1]) → K_1
  25. Segment(J, K_1) → i
  26. Point(Circle[F, 1]) → L_1
  27. Segment(F, L_1) → j
  28. Point(Circle[K, 1]) → M_1
  29. Segment(K, M_1) → k
  30. Point(Circle[L, 1]) → N_1
  31. Segment(L, N_1) → l
  32. Point(Circle[M, 1]) → O_1
  33. Segment(M, O_1) → m
  34. Point(Circle[N, 1]) → P_1
  35. Segment(N, P_1) → q
  36. Point(Circle[O, 1]) → Q_1
  37. Segment(O, Q_1) → r_5
  38. Point(Circle[P, 1]) → R_1
  39. Segment(P, R_1) → s
  40. Point(Circle[Q, 1]) → S_1
  41. Segment(Q, S_1) → t
  42. Point(Circle[R, 1]) → T_1
  43. Segment(R, T_1) → d_1
  44. Point(Circle[S, 1]) → U_1
  45. Segment(S, U_1) → e_1
  46. Point(Circle[T, 1]) → V_1
  47. Segment(T, V_1) → f_1
  48. Point(Circle[U, 1]) → W_1
  49. Segment(U, W_1) → g_1
  50. Polygon(C, D_1, E_1, B_1) → poly03, c_2, d_2, e_2, b_3
  51. Point(xAxis) → Z_1
  52. Polygon(D, F_1, Z_1, E_1) → poly04, d_3, f_2, z_1, e_3
  53. Point(xAxis) → A_2
  54. Polygon(E, G_1, A_2, Z_1) → poly05, e_4, g_2, a_3, z_2
  55. Point(xAxis) → B_2
  56. Polygon(F, L_1, B_2, A_2) → poly06, f_3, l_1, b_4, a_4
  57. Point(xAxis) → C_2
  58. Polygon(G, H_1, C_2, B_2) → poly07, g_3, h_1, c_3, b_5
  59. Point(xAxis) → D_2
  60. Polygon(H, I_1, D_2, C_2) → poly08, h_2, i_1, d_4, c_4
  61. Point(xAxis) → E_2
  62. Polygon(I, J_1, E_2, D_2) → poly09, i_2, j_1, e_5, d_5
  63. Point(xAxis) → F_2
  64. Polygon(J, K_1, F_2, E_2) → poly10, j_2, k_1, f_4, e_6
  65. Point(xAxis) → G_2
  66. Polygon(K, M_1, G_2, F_2) → poly11, k_2, m_1, g_4, f_5
  67. Point(xAxis) → H_2
  68. Polygon(L, N_1, H_2, G_2) → poly12, l_2, n_1, h_3, g_5
  69. Point(xAxis) → I_2
  70. Polygon(M, O_1, I_2, H_2) → poly13, m_2, o_1, i_3, h_4
  71. Point(xAxis) → J_2
  72. Polygon(N, P_1, J_2, I_2) → poly14, n_2, p_{22}, j_3, i_4
  73. Point(xAxis) → K_2
  74. Polygon(O, Q_1, K_2, J_2) → poly15, o, q_1, k_3, j_4
  75. Point(xAxis) → L_2
  76. Polygon(P, R_1, L_2, K_2) → poly16, p_{24}, r_1, l_3, k_4
  77. Point(xAxis) → M_2
  78. Polygon(Q, S_1, M_2, L_2) → poly17, q_2, s_1, m_3, l_4
  79. Point(xAxis) → N_2
  80. Polygon(R, T_1, N_2, M_2) → poly18, r_2, t_1, n_3, m_4
  81. Point(xAxis) → O_2
  82. Polygon(S, U_1, O_2, N_2) → poly19, s_2, u_1, o_2, n_4
  83. Point(xAxis) → P_2
  84. Polygon(T, V_1, P_2, O_2) → poly20, t_2, v_1, p_{23}, o_3
  85. Point(xAxis) → Q_2
  86. Polygon(U, W_1, Q_2, P_2) → poly21, u, w_1, q_3, p_{21}
  87. Polygon(K, M_1, G_2, F_2) → poly11a, k_5, m_5, g_6, f_6
  88. Polygon(L, N_1, H_2, G_2) → poly12a, l_5, n_5, h_5, g_7
  89. Polygon(M, O_1, I_2, H_2) → poly13a, m_6, o_4, i_5, h_6
  90. Polygon(N, P_1, J_2, I_2) → poly14a, n_6, p_{25}, j_5, i_6
  91. Polygon(O, Q_1, K_2, J_2) → poly15a, o_5, q_4, k_6, j_6
  92. Polygon(P, R_1, L_2, K_2) → poly16a, p_{26}, r_3, l_6, k_7
  93. Polygon(Q, S_1, M_2, L_2) → poly17a, q_5, s_3, m_7, l_7
  94. Polygon(R, T_1, N_2, M_2) → poly18a, r_4, t_3, n_7, m_8
  95. Polygon(S, U_1, O_2, N_2) → poly19a, s_4, u_2, o_6, n_8
  96. Polygon(T, V_1, P_2, O_2) → poly20a, t_4, v_2, p_{27}, o_7
  97. Polygon(U, W_1, Q_2, P_2) → poly21a, u_3, w_2, q_6, p_{28}
  98. Polygon(I, J_1, E_2, D_2) → poly09a, i_7, j_7, e_7, d_6
  99. Polygon(H, I_1, D_2, C_2) → poly08a, h_7, i_8, d_7, c_5
  100. Polygon(J, K_1, F_2, E_2) → poly10a, j_8, k_8, f_7, e_8
  101. Polygon(G, H_1, C_2, B_2) → poly07a, g_8, h_8, c_6, b_6
  102. Polygon(F, L_1, B_2, A_2) → poly06a, f_8, l_8, b_7, a_5
  103. Polygon(E, G_1, A_2, Z_1) → poly05a, e_9, g_9, a_6, z_3
  104. Polygon(D, F_1, Z_1, E_1) → poly04a, d_8, f_9, z_4, e_{10}
  105. Polygon(C, D_1, E_1, B_1) → poly03a, c_7, d_9, e_{11}, b_8
  106. Polygon(B, A_1, B_1, C_1) → poly02a, b_9, a_7, b_{10}, c_8
  107. Polygon(A, V, W, Z) → poly01a, a_8, v_3, w_3, z_5
  108. Segment(mupointhi, mupoint) → muline
  109. If(prob(r) < 0.2, prob(r) + 0.02, 0.2) → ptextheight