骰子滚动模拟 by Dan Brown
几何画板及绘图内容加载中,请稍等……
这是一个公平骰子滚动的模拟,学生可以通过此模拟比较小样本和大样本试验的相对频率。涉及的核心数学概念包括概率统计。通过使用 GeoGebra 命令如 Frequency、BarChart 等,可以直观地展示概率分布。适合初中及以上学生进行概率统计的学习。
GeoGebra 命令及参数
Frequency({2, 2}, dlist) → TwosElement(Twos, 1) → NumTwosFrequency({1, 1}, dlist) → OnesElement(Ones, 1) → NumOnesUnique(dlist) → list1Frequency(dlist) → dfreqIf(dlist ≟ {}, 0.1, Sum[dfreq]) → sumRandom(0, Marbles - 1) → Red1Random(0, Marbles - Red1) → Blue2Random(0, Marbles - Blue2 - Red1) → Yellow3Random(0, Marbles - Yellow3 - Blue2 - Red1) → Black4Random(0, Marbles - Black4 - Yellow3 - Blue2 - Red1) → White5BarChart(dlist, 0.8) → bAppend(row1, "TOTAL") → row1aAppend(row2, sum) → row2aTableText({row1a, row2a}, "c_") → text2Random(0, Marbles - 1) → aRandom(0, Marbles - 1) → cRandom(0, Marbles - 1) → dRandom(0, Marbles - 1) → eRandom(0, Marbles - 1) → fRandom(0, Marbles - 1) → gRandom(0, Marbles - 1) → hRandom(0, Marbles - 1) → iRandom(0, Marbles - 1) → jRandom(0, Marbles - 1) → kTableText({row0, row1, row2, row3, row4, row5, row6}, "c_") → AnswersRandomDiscrete({1, 2, 3, 4, 5, 6}, {1 / 6, 1 / 6, 1 / 6, 1 / 6, 1 / 6, 1 / 6}) → Outcome1Frequency({3, 3}, dlist) → ThreesFrequency({4, 4}, dlist) → FoursFrequency({5, 5}, dlist) → FivesFrequency({6, 6}, dlist) → SixesElement(Threes, 1) → NumThreesElement(Fours, 1) → NumFoursElement(Fives, 1) → NumFivesElement(Sixes, 1) → NumSixesText(NumOnes) → text13Text(NumTwos) → text14Text(NumThrees) → text15Text(NumFours) → text16Text(NumFives) → text17Text(NumSixes) → text18Text(FreqOne) → text19Text(FreqTwo) → text20Text(FreqThree) → text21Text(FreqFour) → text22Text(FreqFive) → text23Text(FreqSix) → text24Text(("Total = " * sum)) → text27
AI 绘图提示语参考
创建一个模拟掷骰子的统计图表,展示每个数字(1到6)出现的频率。使用条形图表示每个数字的相对频率,并添加一个表格显示每个数字的总次数和所有试验的总次数。图表应清晰展示概率和统计概念,适合用于教学演示。
以上提示语为根据原始绘图命令整理而来,仅供参考。