P02. LaTeX文章のサンプル 1のソース

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{\Large $<$ \LaTeX 文書のサンプル１ $>$}\vspace{7mm}\\
\noindent
{\large {\bf 例１}}\ \
\begin{minipage}[t]{140mm}
$f(x)$ の逆関数 \ $y = f^{-1}(x)$ \ は定義から次の関係がある。\\
$$ y = f^{-1}(x) \ \ \Leftrightarrow \ \ x = f(y) $$\\
$\varDelta y = f^{-1}(x+\varDelta x) - f^{-1}(x)$ \ とおくと \ $\varDelta x \to
0$ \ のとき \ $\varDelta y \to 0$ \ より
\vspace{4mm}
\begin{center}
\fboxsep = 4mm
\fbox{ $\displaystyle{ \frac{\mbox{\boldmath {$dy$}}}{\mbox{\boldmath {$dx$}}} =
\lim_{\varDelta x \to 0}\frac{\varDelta y}{\varDelta x} = \lim_{\varDelta y \to
0}\frac{1}{\ \displaystyle{\frac{\varDelta x}{\varDelta y}}\ } = \frac{{\bf 1
}}{\ \displaystyle{\frac{\mbox{\boldmath {$dx$}}}{\mbox{\boldmath {$dy$}}}}\
} }$ }
\end{center}
となる。
\end{minipage}
\vspace{4mm}\\
\noindent
{\large {\bf 例２}}\ \
\begin{minipage}[t]{140mm}
\begin{footnotesize}
$$
\mbox{実数(\boldmath{$R$})}\left\{ \begin{array}{l} \mbox{有理数(\boldmath{$Q$})
} \left\{\begin{array}{l} \mbox{整数(\boldmath{$Z$})} \left\{\begin{array}{l} \m
box{自然数(\boldmath{$N$})} \\ \mbox{零}\ 0 \\ \mbox{負の整数} \end{array} \r
ight.\\ \\ \mbox{分数} \end{array} \right. \\ \\ \mbox{無理数}\left\{\begin{arr
ay}{l} \mbox{正の無理数}\cdots \sqrt{2}, \ \pi , \ e \ \mbox{(自然対数の底) など
} \\ \\ \mbox{負の無理数}\cdots -\sqrt{3},\ -\sin{1}, \ -\log{2} \ \mbox{など}
\end{array} \right.\end{array} \right.
$$
\end{footnotesize}
\end{minipage}
\vspace{6mm}\\
\noindent
{\large {\bf 例３}}\ \
\begin{minipage}[t]{140mm}
\newcommand{\rubi}[2]{$\stackrel{ \hbox{\tiny #2}}{\hbox{#1}}$}
\rubi{留学生}{りゅうがくせい}や\rubi{帰国子女}{きこくしじょ}のために\rubi{漢字}{
かんじ}は\rubi{全}{すべ}て\rubi{振}{ふ}り\rubi{仮名}{かな}を\rubi{付}{つ}ける。
\end{minipage}
\vspace{4mm}\\
\noindent
{\large {\bf 問}}\hspace{7mm}
\begin{minipage}[t]{140mm}
次の表を完成せよ。\\
\begin{center}
\renewcommand{\arraystretch}{1.4}
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
{角} & {角$\theta$(度数法)} & $0^\circ$ & $30^\circ$ & $45^\circ$ & $60^\circ$
& $90^\circ$ \\ \cline{2-7} {度} & {角$\theta$(弧度法)} & 0 & $\frac{\pi}{6}$ &
$\frac{\pi}{4}$ & $\frac{\pi}{3}$ & $\frac{\pi}{2}$ \\
\hline \multicolumn{2}{|c|}{\ 正弦($\sin\theta$)} & 0 & & & & \\
\hline \multicolumn{2}{|c|}{\ 余弦($\cos\theta$)} & 0 & & & & \\
\hline
\end{tabular}
\end{center}
\end{minipage}
\end{document}
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