2019年H2M几何题8

2019年H2M几何题8
几何画板及绘图内容加载中,请稍等……
2020-07-03 20:07
该范例演示了2019年H2M几何题8中的概率问题。涉及的核心数学概念包括概率统计和函数图像。通过随机生成数据和动态调整,展示了如何利用GeoGebra命令如Random、Shuffle、If等构造动态几何图形。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Random(1, 3) → a
  2. Shuffle({1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 5, 6, 6, 7, 7}) → l14, {1, 6, 1, 4, 6, 5, 7, 5, 1, 7, 1, 1, 1, 1, 1, 4}
  3. Shuffle({1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7}) → l15, {1, 7, 1, 4, 1, 6, 3, 3, 7, 1, 1, 5, 5, 4, 6, 1}
  4. Shuffle({1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7}) → l16, {1, 7, 3, 3, 4, 4, 6, 6, 7, 5, 3, 1, 5, 1, 3, 1}
  5. If(g ≟ 1, l14, If[g ≟ 2, l15, l16]) → l17
  6. Sum(l17) → n
  7. Sequence(Random[1, 16], i, 1, n) → l1
  8. Sequence(Element[l17, i], i, 1, 4) → l2
  9. Sequence(Element[l17, i], i, 5, 8) → l3
  10. Sequence(Element[l17, i], i, 9, 12) → l4
  11. Sequence(Element[l17, i], i, 13, 16) → l5
  12. Sum(l2) → s1
  13. Sum(l3) → s2
  14. Sum(l4) → s3
  15. Sum(l5) → s4
  16. Join({{"Horse"}, l2}) → l7
  17. Join({{"Rider"}, l3}) → l8
  18. Join({{"Dog"}, l4}) → l9
  19. Join({{"Bird"}, l5}) → l10
  20. Join({{"Total "}, l6}) → l11
  21. TableText(l12, l7, l8, l9, l10, "c|_") → text1
  22. TableText(l11, "c|_") → text5
  23. TableText(l13, "c|_") → text6
  24. IndexOf(4, l17) → b
  25. IndexOf(4, l17, b + 1) → c
  26. If(a ≟ 1, IndexOf[6, l17], If[a ≟ 2, IndexOf[5, l17], IndexOf[7, l17]]) → d
  27. If(a ≟ 1, IndexOf[6, l17, d + 1], If[a ≟ 2, IndexOf[5, l17, d + 1], IndexOf[7, l17, d + 1]]) → e
  28. If(Mod[b, 4] ≟ 1, "Orange", If[Mod[b, 4] ≟ 2, "Yellow", If[Mod[b, 4] ≟ 3, "Green", "White"]]) → text12
  29. If(b ≤ 4, "Horse", If[b ≤ 8, "Rider", If[b ≤ 12, "Dog", "Bird"]]) → text13
  30. If(Mod[c, 4] ≟ 1, "Orange", If[Mod[c, 4] ≟ 2, "Yellow", If[Mod[c, 4] ≟ 3, "Green", "White"]]) → text14
  31. If(c ≤ 4, "Horse", If[c ≤ 8, "Rider", If[c ≤ 12, "Dog", "Bird"]]) → text15
  32. If(Mod[d, 4] ≟ 1, "Orange", If[Mod[d, 4] ≟ 2, "Yellow", If[Mod[d, 4] ≟ 3, "Green", "White"]]) → text16
  33. If(d ≤ 4, "Horse", If[d ≤ 8, "Rider", If[d ≤ 12, "Dog", "Bird"]]) → text17
  34. If(Mod[e, 4] ≟ 1, "Orange", If[Mod[e, 4] ≟ 2, "Yellow", If[Mod[e, 4] ≟ 3, "Green", "White"]]) → text18
  35. If(e ≤ 4, "Horse", If[e ≤ 8, "Rider", If[e ≤ 12, "Dog", "Bird"]]) → text19
  36. If(a ≟ 1, 48 / ((n * (n - 1))), If[a ≟ 2, 40 / ((n * (n - 1))), 56 / ((n * (n - 1)))]) → f

AI 绘图提示语参考

绘制一个概率统计相关的动态几何图形,包含随机生成的数字序列和分类统计结果。首先生成三个随机序列,分别代表不同类别的数量,然后根据这些数量动态分配数字到五个组中。接着计算每个组的总和,并将总和与类别标签结合显示。最后,根据随机选择的类别和索引,确定特定元素的颜色和类别,并显示相关概率计算结果。
以上提示语为根据原始绘图命令整理而来,仅供参考。