两个学校社团卖植物示例
几何画板及绘图内容加载中,请稍等……
①这个范例演示了两个学校社团卖植物的销售情况对比;②涉及的核心数学概念包括线性函数、数据对比和解析几何;③作图要点使用了GeoGebra命令LaTeX, Corner, If; 对象包括stepMax, stepper, steps, counter, RandomizationText, Original, Randomized, A, B, xmin, xmax, ymin, ymax, button1, jugFirstDays, mockFirstDays, jugStart, jugLeft, mockStart, mockLeft, jugSold, mockSold, jugrate, mockrate, jugOutDays, mockOutDays, jugwins, winner, text1, text2, text3, text4, text5, text6, text7, text8, text9, text10, text11, text12;④适合高中阶段学习函数图像和数据对比的学生。
GeoGebra 命令及参数
LaTeX(steps) → counterLaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationTextCorner(1) → ACorner(3) → BIf(jugwins > 0, LaTeX["\text{the juggling club sells out before the mock trial club does}"], If[jugwins < 0, LaTeX["\text{the mock trial club sells out before the juggling club does}"], LaTeX["\text{the juggling club and the mock trial club sell out by the end of the same day}"]]) → winnerLaTeX("\text{Determine how many plants the juggling club has sold.}") → text1LaTeX((((((("\text{The juggling club has sold " * jugStart) * " – ") * jugLeft) * " or ") * jugSold) * " plants.}")) → text2LaTeX("\text{Calculate the average number of plants the juggling club sold per day.}") → text3LaTeX((((("\text{The juggling club sold " * jugSold) * " plants over ") * jugFirstDays) * " days. Divide to determine the average. }")) → text4LaTeX((((((("\textcolor{#000099}{\frac{" * jugSold) * "}{") * jugFirstDays) * "}\approx ") * jugrate) * "}")) → text5LaTeX((("\text{The juggling club sold an average of approximately " * jugrate) * " plants each day.}")) → text6LaTeX("\text{Determine how many plants the mock trial club has sold.}") → text7LaTeX((((((("\text{The mock trial club has sold " * mockStart) * " – ") * mockLeft) * " or ") * mockSold) * " plants.}")) → text8LaTeX("\text{Calculate the average number of plants the mock trial club sold per day.}") → text9LaTeX((((("\text{The mock trial club sold " * mockSold) * " plants over ") * mockFirstDays) * " days. Divide to determine the average. }")) → text10LaTeX((((((("\textcolor{#000099}{\frac{" * mockSold) * "}{") * mockFirstDays) * "}\approx ") * mockrate) * "}")) → text11LaTeX((("\text{The mock trial club sold an average of approximately " * mockrate) * " plants each day.}")) → text12LaTeX("\text{Describe the rates at which the two clubs sold their plants. Compare the kinds of}\cr\text{numbers that represent days, plants, and rates.}") → text13LaTeX("\text{Calculate how long it will take the juggling club to sell its remaining plants.}") → text15LaTeX((((("\text{The juggling club has 30 plants left and inventory is changing at a rate of about}\cr\text{–" * jugrate) * " plants per day, so the juggling club’s plants will sell out in ") * jugOutDays) * " day(s).}")) → text16LaTeX("\text{Calculate how long it will take the mock trial club to sell its remaining plants.}") → text17LaTeX((((((("\text{The mock trial club has " * mockLeft) * " plants left and inventory is changing at a rate of about}\cr\text{–") * mockrate) * " plants per day, so the mock trial club’s plants will sell out in ") * mockOutDays) * " day(s).}")) → text18LaTeX("\text{Explain which club will sell out of plants first.}") → text19LaTeX((((((("\text{The variables “days” and “plants” are positive whole numbers, whereas “rate” can}\cr\text{be a negative number. In this situation, the rates for the two clubs are negative,}\cr\text{because the rates reflect a reduction in the number of plants each club has in}\cr\text{stock. The rate for the juggling club is approximately –" * jugrate) * " plants per day because}\cr\text{the quantity of plants is being reduced by an average of about –") * jugrate) * " per day;}\cr\text{similarly, the rate for the mock trial club is –") * mockrate) * " plants per day.}")) → text14LaTeX("\text{Move the slider to solve the problem.}") → text0LaTeX((((((((((((("\text{The juggling club started with " * jugStart) * " plants and after ") * jugFirstDays) * " days has ") * jugLeft) * " plants left.}\cr\text{The mock trial club started with ") * mockStart) * " plants and after ") * mockFirstDays) * " days has ") * mockLeft) * " plants left.}")) → ProblemLaTeX((((((((((((((("\text{The juggling club has been selling for " * jugFirstDays) * " days and will sell out in ") * jugOutDays) * " more day(s) for a}\cr\text{total of ") * jugTotalDays) * " days.}\cr\text{The mock trial club has been selling for ") * mockFirstDays) * " days and will sell out in ") * mockOutDays) * " more day(s) for a}\cr\text{total of ") * mockTotalDays) * " days.}\cr\text{Therefore, }") * winner) * "\text{.}")) → text20
AI 绘图提示语参考
绘制两个学校社团销售植物的销售比较图。展示两个社团的线性函数图,标出起始数量和剩余数量,计算并标注每日平均销售量。通过按钮可以切换原始问题和随机生成的问题,并显示哪个社团先售完。描述销售速率和天数、植物数量之间的关系,并计算剩余植物售完所需时间,最终说明哪个社团先售完。
以上提示语为根据原始绘图命令整理而来,仅供参考。