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12_3 表格与图形：二项分布、分段函数与几何综合

12_3 表格与图形：二项分布、分段函数与几何综合
几何画板及绘图内容加载中，请稍等……
2021-05-06 15:27
多边形函数概率统计滑块动画函数图像
所属专题 Mat 1 ESO - IESO LA PAZ
① 本范例是一个综合性的数学教学课件，演示了如何将表格数据与多种函数图形（包括二项分布、分段函数、抛物线）以及立体几何、复数等概念整合在同一个GeoGebra交互界面中。② 核心数学概念包括二项分布的概率计算、分段函数的图像表示、抛物线的几何性质、立体图形的构造以及复数的可视化，同时涉及随机数生成和交互按钮控制。③ 作图要点：从构造摘要看，使用了Line、Random、Polygon、Vector、Intersect、Ray、TableText、Segment等GeoGebra命令，创建了多个按钮（如p1botón1、p4botón1）、文本对象（如p1texto3）、滑块（如n1、n2）以及多边形（polígono1）和点（A_0至A_7）等对象，通过按钮和计数器（contador）实现分页或步骤切换，展示不同数学内容。④ 适合中学高年级或大学预科学生，用于复习概率统计、函数与几何的关联，也可作为教师制作互动课件的参考模板。

GeoGebra 命令及参数

  1. Line(A_0, a) → b
  2. Random(1, 7) → n2
  3. Random(1, 7) → n1
  4. Polygon(C, D, G, F) → polígono1, c, d, g, f
  5. Polygon(C, H, I, F) → polígono2, c_1, h, i, f_1
  6. Vector(Centro, Y_8) → u
  7. Vector(Centro, A_8) → v
  8. Line(A_1, u) → e
  9. Line(A_2, u) → k
  10. Line(A_3, u) → l
  11. Line(A_4, u) → m
  12. Line(A_5, u) → n
  13. Line(A_6, u) → p
  14. Line(A_7, u) → q
  15. Line(Y_1, v) → r
  16. Line(Y_2, v) → s
  17. Line(Y_3, v) → a_1
  18. Line(Y_4, v) → b_1
  19. Line(Y_5, v) → d_1
  20. Line(Y_6, v) → e_1
  21. Line(Y_7, v) → g_1
  22. Line(Centro, u) → c_2
  23. Line(Y_8, v) → d_2
  24. Line(A_8, u) → f_2
  25. Intersect(r, c_2) → A
  26. Intersect(s, c_2) → B
  27. Intersect(a_1, c_2) → E
  28. Intersect(b_1, c_2) → J
  29. Intersect(d_1, c_2) → K
  30. Intersect(e_1, c_2) → L
  31. Intersect(g_1, c_2) → M
  32. Intersect(d_2, g_1) → G_1
  33. Ray(M, Y_7) → g_2
  34. Ray(L, Y_6) → h_2
  35. Ray(K, Y_5) → i_2
  36. Ray(J, Y_4) → j_2
  37. Ray(E, Y_3) → k_2
  38. Ray(B, Y_2) → l_2
  39. Ray(A, Y_1) → m_2
  40. Intersect(m, k_2) → N
  41. Vector(A_0, A_4) → w
  42. Vector(A_0, Y_3) → u_1
  43. Vector(A_4, N) → v_1
  44. Vector(Y_3, N) → w_1
  45. Vector(A_0, (x(A_0), y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8)) → w_2
  46. Vector((x(A_0), y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8), (x(A_0) + ((n1 * (x(Corner[2]) - x(A_0)))) / 8, y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8)) → u_3
  47. TableText({{1, 2, 3, 4, 5, 6, 7}, {9.58, 9.63, 9.69, 9.71, 9.72, 9.74, 9.75}}, "|_ c") → p1texto6
  48. Segment(A_1, Punto1) → h_1
  49. Segment(Y_7, Punto1) → i_1
  50. Segment(A_2, Punto2) → j_1
  51. Segment(Y_6, Punto2) → k_1
  52. Segment(A_3, Punto3) → l_1
  53. Segment(Punto3, Y_5) → m_1
  54. Segment(A_4, Punto4) → n_1
  55. Segment(Y_4, Punto4) → p_1
  56. Segment(A_5, Punto5) → q_1
  57. Segment(Y_3, Punto5) → r_1
  58. Segment(A_6, Punto6) → s_1
  59. Segment(Y_2, Punto6) → t_1
  60. Segment(A_7, Punto7) → a_2
  61. Segment(Y_1, Punto7) → n_2
  62. TableText({{"Refrescos", 1, 2, 3, 4, 5, 6, 7}, {"Euros", 1, 2, 3, 4, 5, 6, 7}}, "|_ c") → p2texto671
  63. Segment(Ymorcilla7, U) → j
  64. Segment(Ymorcilla6, V) → b_2
  65. Segment(Ymorcilla5, W) → e_2
  66. Segment(Ymorcilla4, Z) → p_2
  67. Segment(Ymorcilla3, B_1) → q_2
  68. Segment(Ymorcilla2, C_1) → r_2
  69. Segment(Ymorcilla1, D_1) → s_2
  70. Segment(O, A_1) → t_2
  71. Segment(P, A_2) → a_3
  72. Segment(Q, A_3) → b_3
  73. Segment(R, A_4) → c_3
  74. Segment(S, A_5) → d_3
  75. Segment(T, A_6) → e_3
  76. Segment(U, A_7) → f_3
  77. Intersect(t_2, s_2) → Morcilla1
  78. Intersect(a_3, r_2) → Morcilla2
  79. Intersect(b_3, q_2) → Morcilla3
  80. Intersect(c_3, p_2) → Morcilla4
  81. Intersect(d_3, e_2) → Morcilla5
  82. Intersect(e_3, b_2) → Morcilla6
  83. Intersect(f_3, j) → Morcilla7
  84. TableText({{"Refrescos", 1, 2}, {"Euros", 1, 2}}, "|_ c") → p2texto621
  85. TableText({{"Refrescos", 1, 2, 3, 4, 5, 6}, {"Euros", 1, 2, 3, 4, 5, 6}}, "|_ c") → p2texto661
  86. TableText({{"Refrescos", 1, 2, 3, 4, 5}, {"Euros", 1, 2, 3, 4, 5}}, "|_ c") → p2texto651
  87. TableText({{"Refrescos", 1, 2, 3}, {"Euros", 1, 2, 3}}, "|_ c") → p2texto631
  88. TableText({{"Refrescos", 1}, {"Euros", 1}}, "|_ c") → p2texto611
  89. TableText({{"Refrescos", 1, 2, 3, 4}, {"Euros", 1, 2, 3, 4}}, "|_ c") → p2texto641
  90. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 ", " 6 ", " 7 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5", " 3 ", "3.5"}}, "|_ c") → p3texto671
  91. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 ", " 6 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5", " 3 "}}, "|_ c") → p3texto661
  92. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5"}}, "|_ c") → p3texto651
  93. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 "}}, "|_ c") → p3texto641
  94. TableText({{"Refrescos", " 1 ", " 2 ", " 3 "}, {" Euros ", "0.5", " 1 ", "1.5"}}, "|_ c") → p3texto631
  95. TableText({{"Refrescos", " 1 ", " 2 "}, {" Euros ", "0.5", " 1 "}}, "|_ c") → p3texto621
  96. TableText({{"Refrescos", " 1 "}, {" Euros ", "0.5"}}, "|_ c") → p3texto611

AI 绘图提示语参考

创建一个包含二项分布、分段函数、抛物线和立体几何的交互式图形，展示概率、函数和几何的联系。图形中包含多个按钮用于导航，滑块控制参数，表格显示数据，以及复杂的几何构造，如多边形和向量。图形应具有动态性，可通过按钮和滑块调整显示不同的数学主题。
以上提示语为根据原始绘图命令整理而来，仅供参考。