代数方程与不等式示例
几何画板及绘图内容加载中,请稍等……
这个范例演示了代数方程和不等式的图形表示。它涉及的核心数学概念包括方程、不等式、导数和除法。通过使用GeoGebra命令如Latex、Slider、pic等,可以动态展示这些数学概念。适合高中数学教学和学习。
GeoGebra 命令及参数
LaTeX((("\text{Step {" * Slider) * "} of 7}")) → text2_{10}LaTeX("\text{Write the inequality.}") → text2LaTeX("\text{Inequality to be solved}") → text6LaTeX("\text{\mathbf{Note}\mathbf{:} Use the (Data Kit) \\to return to the original \\problem or randomly generate\\a similar practice problem.\\Use the (Definition) to \\review words to know.}") → text4LaTeX((("\text{For lunch:\textcolor{#000099}{\textdollar {" * a1) * "}0} }")) → text2_{11}LaTeX((("\text{Gasoline for her car:\textcolor{#000099}{\textdollar {" * c) * "}.00} }")) → text2_4LaTeX((((((((("\text{Grace does not remember how much money she has in her bank account.She does recall spending \textcolor{#000099}{\textdollar {" * a1) * "}0} for lunch, \\\textcolor{#000099}{\textdollar {") * b) * "}0} for a pair of shoes,and \textcolor{#000099}{\textdollar {") * c) * "}.00} for gasoline for her car.She knows that she must have at least \textcolor{#000099}{\textdollar {") * d) * "}.00} left \\as her bank requires this minimum daily balance.Write and solve an inequality that represents the amount of money \\in Grace’s account before she spent any money.}")) → text1_1LaTeX((("\text{Minimum bank balance:\textcolor{#000099}{\textdollar {" * d) * "}}}")) → text1LaTeX("\text{Click the button to solve the problem.}") → text3LaTeX((((((((("\text{\textcolor{#000099}{\mathit{d} − {" * a1) * "} − {") * b) * "} − {") * c) * "} ≥ {") * d) * "}}")) → text8_{21}LaTeX((((((((("\text{\textcolor{#000099}{\mathit{d} − {" * a1) * "} − {") * b) * "} − {") * c) * "} ≥ {") * d) * "}}")) → text8_{24}LaTeX((((("\text{\textcolor{#000099}{\mathit{d} {" * s1) * "} ≥{") * d) * "}}}")) → text8_{22}LaTeX((("\text{\textcolor{#000099}{\mathit{d} ≥ {" * s2) * "}}")) → text8_{30}LaTeX("\text{Let \textcolor{#000099}{\mathit{d}} represent the dollars in Grace’s account.}") → text2_1LaTeX("\text{\mathbf{Inequality:}\;An inequality is like an equation that uses symbols for “less than” \\ (<) and “greater than”(>) where an equation uses a symbol \\ for “is equal to”(=).}") → text2_{13}LaTeX((("\text{For a pair of shoes:\textcolor{#000099}{\textdollar {" * b) * "}0} }")) → text2_2LaTeX((("\text{Add \textcolor{#000099}{{" * s3) * "}} to both sides of the inequality.}")) → text2_3LaTeX("\text{Combine like terms.}") → text6_2LaTeX((("\text{Grace had at least \textcolor{#000099}{\textdollar {" * s2) * "}} in her bank account before she spent any money.}")) → text2_6
AI 绘图提示语参考
绘制一个代数方程与不等式教学示例图。画面中央展示一个分步解题过程,共七步,每一步用文本框标注。第一步写出不等式,第二步设未知数d表示账户原有金额,第三步列出各项支出(午餐、鞋子、汽油)及最低余额要求,第四步建立不等式d减去各项支出后大于等于最低余额,第五步合并同类项,第六步将常数项移到不等式右侧,第七步得出d大于等于某个数值的结论。图中用不同颜色高亮关键数字,并附有定义提示和操作按钮说明。
以上提示语为根据原始绘图命令整理而来,仅供参考。