居住分布模拟:正态分布与概率统计可视化
几何画板及绘图内容加载中,请稍等……
本范例演示居住点分布模拟及正态分布形态的可视化效果。涉及的核心数学概念包括正态分布、概率统计、二次函数、正弦函数以及几何周长计算。作图要点在于利用 Sequence 命令生成数据序列,通过 Join 连接对象,Shuffle 实现随机打乱,结合 If 条件判断与 Sum 求和,最终使用 DotPlot 绘制散点图。该工具适合高中数学统计与概率章节的教学演示或学生自学探究。
GeoGebra 命令及参数
Sequence(1, n, 1, 30) → oneSequence(2, n, 1, 8) → twoJoin({one, two, eight}) → list1Shuffle(list1) → list2If(B2 + C1 ≤ 10, B2 + C1, C1) → C2If(B3 + C2 ≤ 10, B3 + C2, C2) → C3If(B4 + C3 ≤ 10, B4 + C3, C3) → C4If(B5 + C4 ≤ 10, B5 + C4, C4) → C5If(B6 + C5 ≤ 10, B6 + C5, C5) → C6If(B7 + C6 ≤ 10, B7 + C6, C6) → C7If(B8 + C7 ≤ 10, B8 + C7, C7) → C8If(B9 + C8 ≤ 10, B9 + C8, C8) → C9If(B10 + C9 ≤ 10, B10 + C9, C9) → C10If(B11 + C10 ≤ 10, B11 + C10, C10) → C11If(B12 + C11 ≤ 10, B12 + C11, C11) → C12If(B13 + C12 ≤ 10, B13 + C12, C12) → C13If(B14 + C13 ≤ 10, B14 + C13, C13) → C14If(B15 + C14 ≤ 10, B15 + C14, C14) → C15If(B16 + C15 ≤ 10, B16 + C15, C15) → C16If(B17 + C16 ≤ 10, B17 + C16, C16) → C17If(B18 + C17 ≤ 10, B18 + C17, C17) → C18If(B19 + C18 ≤ 10, B19 + C18, C18) → C19If(B20 + C19 ≤ 10, B20 + C19, C19) → C20If(C2 ≟ C1, 0, If[C2 ≤ 10, 1, 0]) → D2If(C3 ≟ C2, 0, If[C3 ≤ 10, 1, 0]) → D3If(C4 ≟ C3, 0, If[C4 ≤ 10, 1, 0]) → D4If(C5 ≟ C4, 0, If[C5 ≤ 10, 1, 0]) → D5If(C6 ≟ C5, 0, If[C6 ≤ 10, 1, 0]) → D6If(C7 ≟ C6, 0, If[C7 ≤ 10, 1, 0]) → D7If(C8 ≟ C7, 0, If[C8 ≤ 10, 1, 0]) → D8If(C9 ≟ C8, 0, If[C9 ≤ 10, 1, 0]) → D9If(C10 ≟ C9, 0, If[C10 ≤ 10, 1, 0]) → D10If(C11 ≟ C10, 0, If[C11 ≤ 10, 1, 0]) → D11If(C12 ≟ C11, 0, If[C12 ≤ 10, 1, 0]) → D12If(C13 ≟ C12, 0, If[C13 ≤ 10, 1, 0]) → D13If(C14 ≟ C13, 0, If[C14 ≤ 10, 1, 0]) → D14If(C15 ≟ C14, 0, If[C15 ≤ 10, 1, 0]) → D15If(C16 ≟ C15, 0, If[C16 ≤ 10, 1, 0]) → D16If(C17 ≟ C16, 0, If[C17 ≤ 10, 1, 0]) → D17If(C18 ≟ C17, 0, If[C18 ≤ 10, 1, 0]) → D18If(C19 ≟ C18, 0, If[C19 ≤ 10, 1, 0]) → D19If(C20 ≟ C19, 0, If[C20 ≤ 10, 1, 0]) → D20If(B21 + C20 ≤ 10, B21 + C20, C20) → C21If(C21 ≟ C20, 0, If[C21 ≤ 10, 1, 0]) → D21If(B22 + C21 ≤ 10, B22 + C21, C21) → C22If(C22 ≟ C21, 0, If[C22 ≤ 10, 1, 0]) → D22If(B23 + C22 ≤ 10, B23 + C22, C22) → C23If(C23 ≟ C22, 0, If[C23 ≤ 10, 1, 0]) → D23If(B24 + C23 ≤ 10, B24 + C23, C23) → C24If(C24 ≟ C23, 0, If[C24 ≤ 10, 1, 0]) → D24If(B25 + C24 ≤ 10, B25 + C24, C24) → C25If(C25 ≟ C24, 0, If[C25 ≤ 10, 1, 0]) → D25If(B26 + C25 ≤ 10, B26 + C25, C25) → C26If(C26 ≟ C25, 0, If[C26 ≤ 10, 1, 0]) → D26If(B27 + C26 ≤ 10, B27 + C26, C26) → C27If(C27 ≟ C26, 0, If[C27 ≤ 10, 1, 0]) → D27If(B28 + C27 ≤ 10, B28 + C27, C27) → C28If(C28 ≟ C27, 0, If[C28 ≤ 10, 1, 0]) → D28If(B29 + C28 ≤ 10, B29 + C28, C28) → C29If(C29 ≟ C28, 0, If[C29 ≤ 10, 1, 0]) → D29If(B30 + C29 ≤ 10, B30 + C29, C29) → C30If(C30 ≟ C29, 0, If[C30 ≤ 10, 1, 0]) → D30If(B31 + C30 ≤ 10, B31 + C30, C30) → C31If(C31 ≟ C30, 0, If[C31 ≤ 10, 1, 0]) → D31If(B32 + C31 ≤ 10, B32 + C31, C31) → C32If(C32 ≟ C31, 0, If[C32 ≤ 10, 1, 0]) → D32If(B33 + C32 ≤ 10, B33 + C32, C32) → C33If(C33 ≟ C32, 0, If[C33 ≤ 10, 1, 0]) → D33If(B34 + C33 ≤ 10, B34 + C33, C33) → C34If(C34 ≟ C33, 0, If[C34 ≤ 10, 1, 0]) → D34If(B35 + C34 ≤ 10, B35 + C34, C34) → C35If(C35 ≟ C34, 0, If[C35 ≤ 10, 1, 0]) → D35If(B36 + C35 ≤ 10, B36 + C35, C35) → C36If(C36 ≟ C35, 0, If[C36 ≤ 10, 1, 0]) → D36If(B37 + C36 ≤ 10, B37 + C36, C36) → C37If(C37 ≟ C36, 0, If[C37 ≤ 10, 1, 0]) → D37If(B38 + C37 ≤ 10, B38 + C37, C37) → C38If(C38 ≟ C37, 0, If[C38 ≤ 10, 1, 0]) → D38If(B39 + C38 ≤ 10, B39 + C38, C38) → C39If(C39 ≟ C38, 0, If[C39 ≤ 10, 1, 0]) → D39Sum(D1:D39) → E1DotPlot(data, false, 0.15) → list3
AI 绘图提示语参考
请绘制一个模拟住宅分布的图形,展示正态分布的形状。使用序列生成两组数据,将它们合并并随机排序,然后通过一系列条件判断和累加,生成一个表示住宅分布的散点图,其中散点颜色和大小表示不同条件下的概率值,整体呈现正态分布特征。
以上提示语为根据原始绘图命令整理而来,仅供参考。