所有内容都在一个宏中

Question

我正在尝试创建简单的工作表，让学生可以：（a）看到一个随机生成的线性图并且必须确定方程，或者（b）给出一个随机生成的线性方程并且必须绘制线条。

如何使图形停留在平面的给定部分？即 x 和 y 均为 -10 到 10。

是否有一些“简单”的方法来做到这一点，或者我必须使用将随机生成的斜率\m和 y 截距\b与适当的域或范围关联起来的公式？

\documentclass{article}

\usepackage{pgf}
 \pgfmathsetseed{\number\pdfrandomseed}
\usepackage{tikz}

\pagestyle{empty}

\begin{document}


\newcommand{\LinearEquation}
{%
%slope
\pgfmathsetmacro{\m}{int(random(0,8)-4)}%

%y-intercept
\pgfmathsetmacro{\b}{int(random(0,8)-4)}%

% Linear Equation
\(y={\m}x+\b\)
}
\LinearEquation


\begin{tikzpicture}[scale=0.3]
\draw[help lines, gray, thin] (-10,-10) grid (10,10);
\draw[very thick,<->] (-10.3,0)--(10.3,0);
\draw[very thick,<->] (0,-10.3)--(0,10.3);
\draw[red, very thick, , range=-10:10, <->] plot (\x,\m*\x+\b); %this did not work
\end{tikzpicture}

\end{document}

Answer 1

假设您不需要线条的箭头提示，只需\clip (-10,-10) rectangle (10,10);在 之前添加plot。并且在绘图选项中，您想要domain，而不是range。

还要注意\b已经定义了（参见宏的简称)，所以最好避免使用它。

\documentclass{article}
\usepackage{tikz}
 \pgfmathsetseed{\number\pdfrandomseed}

\pagestyle{empty}
\newcommand{\LinearEquation}
{%
%slope
\pgfmathsetmacro{\Slope}{int(random(0,8)-4)}%

%y-intercept
\pgfmathsetmacro{\Intercept}{int(random(0,8)-4)}%

% Linear Equation
\(y={\Slope}x+\Intercept\)
}

\begin{document}
\LinearEquation

\begin{tikzpicture}[scale=0.3]
\draw[help lines, gray, thin] (-10,-10) grid (10,10);
\draw[very thick,<->] (-10.3,0)--(10.3,0);
\draw[very thick,<->] (0,-10.3)--(0,10.3);
\clip  (-10,-10) rectangle (10,10);
\draw[red, very thick, , domain=-10:10] plot (\x,\Slope*\x+\intercept); 
\end{tikzpicture}
\end{document}

所有内容都在一个宏中

\documentclass{article}
\usepackage{tikz}
 \pgfmathsetseed{\number\pdfrandomseed}

\pagestyle{empty}
\newcommand{\LinearEquation}
{%
%slope
\pgfmathsetmacro{\Slope}{int(random(0,8)-4)}%
%y-intercept
\pgfmathsetmacro{\Intercept}{int(random(0,8)-4)}%
\begin{tikzpicture}[scale=0.25]
\draw[help lines, gray, thin] (-10,-10) grid (10,10);
\node [above right] at (-10,10) {\(y={\Slope}x+\Intercept\)};
\draw[very thick,<->] (-10.3,0)--(10.3,0);
\draw[very thick,<->] (0,-10.3)--(0,10.3);
\clip  (-10,-10) rectangle (10,10);
\draw[red, very thick, , domain=-10:10] plot (\x,\Slope*\x+\Intercept); 
\end{tikzpicture}%
}

\begin{document}
\LinearEquation
\LinearEquation

\LinearEquation
\LinearEquation

\LinearEquation
\LinearEquation

\end{document}