微笑亮白牙膏市场调查概率统计示例
几何画板及绘图内容加载中，请稍等……
①本范例演示了使用概率统计方法分析市场调查数据的图形化过程；②涉及的核心数学概念包括概率统计、样本分析、数据可视化；③作图要点提炼自构造摘要，使用了GeoGebra命令/对象如slidevalue, Quadratic1, Linear1, DatakitBG等；④适合高中数学课程，用于教授概率统计与数据分析的实际应用。
GeoGebra 命令及参数
LaTeX("\text{Solve the problem using fractions and find the percentage of each brand.}") → content2LaTeX("\text{Write equivalent fractions in simplest form to represent the given values.}") → content3LaTeX((((("\text{The Mighty Clean ad says \textcolor{#000099}{ " * val4) * "} people out of \textcolor{#000099}{ ") * val5) * "} prefer Mighty Clean.}")) → content7LaTeX("\text{Compare the fractions.}") → content9LaTeX("\text{Use proportions to write each fraction as a percent.}") → content12LaTeX("\text{Proportion}") → content15LaTeX((((((("\text{\textcolor{#000099}{\frac{" * div1) * "}{") * div2) * "}=}\textcolor{#000099}{\frac{p}{") * val6) * "}}")) → content14LaTeX((((((("\text\textcolor{#000099}{{" * div1) * "(") * val6) * ")=") * div2) * "(p)}}")) → content16LaTeX("\text{Cross multiply.}") → content17LaTeX((((("\text\textcolor{#000099}{{" * Mul1) * "=") * div2) * "p}}")) → content18LaTeX("\text{Simplify.}") → content19LaTeX((("\text\textcolor{#000099}{{" * div4) * "=p}}")) → content20LaTeX("\text{Proportion}") → content25LaTeX((((((("\text{\textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}=}\textcolor{#000099}{\frac{p}{") * val6) * "}}")) → content24LaTeX((((((("\text\textcolor{#000099}{{" * val4) * "(") * val6) * ")=") * val5) * "(p)}}")) → content26LaTeX("\text{Cross multiply.}") → content29LaTeX("\text{Simplify.}") → content30LaTeX((("\text\textcolor{#000099}{{" * div5) * "=p}}")) → content28LaTeX((("\text{The percent of people surveyed who prefer Smile Bright is \textcolor{#000099}{ " * div3) * "%}.}")) → content32LaTeX((("\text{Divide both sides by \textcolor{#000099}{" * div2) * "}.}")) → content21LaTeX((((("\text\textcolor{#000099}{{" * Mul2) * "=") * val5) * "p}}")) → content27LaTeX((("\text{Divide both sides by \textcolor{#000099}{" * val5) * "}.}")) → content31LaTeX((("\text{The percent of people who reportedly prefer Mighty Clean is \textcolor{#000099}{ " * div5) * "%}.}")) → content22LaTeX((("\text{People preferring Smile Bright:" * Quadratic1) * "}")) → Datakittext1LaTeX((("\text{People preferring Mighty Clean:" * Quadratic2) * "}")) → Datakittext3LaTeX((((("\text{Total survey participants:\textcolor{#000099}{" * Linear1) * "}; people preferring Smile Bright: \textcolor{#000099}{") * Quadratic1) * "}; people preferring Mighty Clean: \textcolor{#000099}{3} out of \textcolor{#000099}{8}}")) → content1LaTeX((((("\text{In the Smile Bright survey, \textcolor{#000099}{" * Quadratic1) * "} people out of \textcolor{#000099}{ ") * Linear1) * "} prefer Smile Bright.}")) → content4LaTeX((((("\text{This can be written as the fraction \textcolor{#000099}{\frac{" * Quadratic1) * "}{") * Linear1) * "}}. }")) → content5LaTeX((((((((((("\text{The fraction \textcolor{#000099}{\frac{" * Quadratic1) * "}{") * Linear1) * "}} can be reduced by a factor of \textcolor{#000099}{") * slidevalue) * "}. The resulting fraction is \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}}.}")) → content6LaTeX((((("\text{This can be written as the fraction \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. }")) → content8LaTeX((((((((((((((((("\text{The fractions \textcolor{#000099}{\frac{" * div1) * "}{") * div2) * "}} and \textcolor{#000099}{\frac{") * val4) * "}{") * val5) * "}} have common denominators, so only their numerators need to be compared. Since \textcolor{#000099}{") * div1) * "} is greater than \textcolor{#000099}{") * val4) * "}, \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}} is} ")) → content10LaTeX((((("\text{greater than \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. Therefore, according to these results, more people said they prefer Smile Bright than Mighty Clean.}")) → content11LaTeX((((((((((("\text{The ratio of people surveyed who prefer Smile Bright is \textcolor{#000099}{ \frac{" * div1) * "}{") * div2) * "}}. Set up the proportion \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}}=\textcolor{#000099}{\frac{p}{") * val6) * "}} to determine the equivalent percent.}")) → content13LaTeX((((((((((("\text{The ratio of people who reportedly prefer Mighty Clean is \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. Set up the proportion \textcolor{#000099}{\frac{") * val4) * "}{") * val5) * "}=\frac{p}{") * val6) * "}} to determine the equivalent percent.}")) → content23LaTeX("\text{\mathbf{factor\;(noun)} one of two or more numbers or expressions that when multiplied}") → WordstoknowtextLaTeX("\text{produce a given product}") → Wordstoknowtext1LaTeX("\text{\mathbf{factor\; (verb)} to write an expression as the product of its factors}") → Wordstoknowtext2LaTeX((("\text{Total number of participants:" * Linear1) * "}")) → Datakittext2