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大树分枝图

大树分枝图
几何画板及绘图内容加载中，请稍等……
2020-06-02 06:29
数列概率统计几何作图
该范例演示了大树分枝的几何构造。涉及的核心数学概念包括几何构造、概率统计和序列。通过使用GeoGebra命令Sequence等，可以动态展示分枝的空间布局和概率分布。适合高中及以上学生学习几何构造和概率统计。

GeoGebra 命令及参数

  1. Sequence(((BranchWidth + LabelGap) * (k - 1)), k, 1, 5) → BaseLocs
  2. Sequence(Sequence[(BranchLocs(n), (((2^(5 - n) * ((2 * k) - 1)) + 1) / 2 * BranchSpace)), k, 1, 2^(n)], n, 1, 5) → BranchEnds
  3. Sequence(Sequence[(BaseLocs(n), (((2^(6 - n) * ((2 * k) - 1)) + 1) / 2 * BranchSpace)), k, 1, 2^(n - 1)], n, 1, 5) → BasePoints
  4. Sequence(Sequence[Text[(1 + (-1)^(k)) / 2, (BranchLocs(n), (((2^(5 - n) * ((2 * k) - 1)) + 1) / 2 * BranchSpace)) + TextPosOffset], k, 1, 2^(n)], n, 1, Trials) → EndLabels
  5. Sequence(Sequence[Segment[BranchEnds(n, (2 * k) - 1), BasePoints(n, k)], k, 1, 2^(n - 1)], n, 1, Trials) → DownBranches
  6. Sequence(Sequence[Segment[BasePoints(n, k), BranchEnds(n, (2 * k))], k, 1, 2^(n - 1)], n, 1, Trials) → UpBranches
  7. Sequence(Sequence[Text[ProbSuccess, (BasePoints(n, k) * (1 - BranchLabelLoc)) + (BranchEnds(n, (2 * k)) * BranchLabelLoc) + (0, 0.2)], k, 1, 2^(n - 1)], n, 1, Trials) → UpLabels
  8. Sequence(Sequence[Text[1 - ProbSuccess, (BasePoints(n, k) * (1 - BranchLabelLoc)) + (BranchEnds(n, (2 * k) - 1) * BranchLabelLoc) + (0, -0.7)], k, 1, 2^(n - 1)], n, 1, Trials) → DownLabels