示例3:铅笔与索引卡数量分析

示例3:铅笔与索引卡数量分析
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2015-07-09 20:47
本范例演示了通过购买不同数量的铅笔和索引卡来分析数量关系。核心数学概念包括代数方程、变量替换与实际应用。作图要点涉及使用GeoGebra命令如stepMax、stepper、steps等进行动态演示。适合初中生或高中生用于学习代数与实际问题解决。

GeoGebra 命令及参数

  1. LaTeX(steps) → counter
  2. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
  3. Corner(1) → A
  4. Corner(3) → B
  5. LaTeX((((("\text{Index cards are represented by the variable }\textcolor{#000099}{c}\text{, and she bought }\textcolor{#000099}{" * cards) * "}\text{ packs of index}\cr\text{cards. The term representing the number of packs she purchased is }\textcolor{#000099}{") * cards) * "c}.")) → text3
  6. LaTeX((((("\text{Nia had a coupon for }\textcolor{#000099}{\$" * discount) * "}\text{ off her total purchase. The coupon represents a discount,}\cr\text{or subtraction, from the amount she has to pay. This can be represented by }\textcolor{#000099}{–") * discount) * "}.")) → text4
  7. LaTeX("\text{Identify the term(s) in the expression.}") → text6
  8. LaTeX("\text{Identify the coefficient(s) in the expression. }") → text8
  9. LaTeX("\text{Identify the constant term(s) in the expression, if any.}") → text10
  10. LaTeX((((((("\textcolor{#000099}{" * pencils) * "}\text{ packs of pencils; }\textcolor{#000099}{") * cards) * "}\text{ packs of index cards; a }\textcolor{#000099}{\$") * discount) * "}\text{ discount}")) → Problem
  11. LaTeX((((((("\text{Combining the terms, the expression that represents Nia’s purchase is \textcolor{#000099}{" * pencils) * "p+") * cards) * "c –") * discount) * "}.")) → text5
  12. LaTeX((((((((((((("\text{The expression representing Nia’s purchase is }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{. Terms can be a number,}\cr\text{a variable, or the product of a number and variable(s). }\cr\text{The terms are }\textcolor{#000099}{") * pencils) * "p}\text{, }\textcolor{#000099}{") * cards) * "c}\text{, and }\textcolor{#000099}{–") * discount) * "}.")) → text7
  13. LaTeX((((((((((("\text{A coefficient is a number multiplied by a variable in an algebraic expression. }\cr\text{In the expression }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{, the coefficients are }\textcolor{#000099}{") * pencils) * "}\text{ and }\textcolor{#000099}{") * cards) * "}.")) → text9
  14. LaTeX((((((((("\text{A constant is a quantity that does not change. }\cr\text{In the expression }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{, the constant is }\textcolor{#000099}{–") * discount) * "}.")) → text11
  15. LaTeX("\text{Move the slider to solve the problem.}") → text0

AI 绘图提示语参考

绘制一个代数应用题教学场景:画面中央展示一个表达式,由铅笔包数、索引卡包数和折扣金额组成,例如“3p + 2c – 5”。表达式下方用彩色文字分别标注“项”、“系数”和“常数”的说明,并配有一个滑块控件,用于动态调整数值。背景简洁,突出数学符号和文字解释,适合课堂演示。
以上提示语为根据原始绘图命令整理而来,仅供参考。