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\begin{document}
\begin{CJK}{UTF8}{gbsn}%
\begin{frame}[negativefill,plain]
\title{第五章 二次型}
\subtitle[线性代数]{线性代数}
\date{}
\maketitle
\end{frame}
%
\begin{frame}{引言}

在解析几何中, 为了便于研究二次曲线
\[
ax^{2}+bxy+cy^{2}=1
\]
的几何性质, 可以选择适当的坐标旋转变换
\[
\begin{cases}
x=x^{\prime}\cos\theta-y^{\prime}\sin\theta,\\
y=x^{\prime}\sin\theta+y^{\prime}\cos\theta,
\end{cases}
\]
把方程化为标准形式
\[
mx^{\prime2}+cy^{\prime2}=1.
\]

这类问题具有普遍性, 在许多理论问题和实际问题中常会遇到, 本章将把这类问题一般化, 讨论 $n$ 个变量的二次多项式的化简问题.
\end{frame}
%
\begin{frame}{目录}

\tableofcontents[hideallsubsections]

\end{frame}
%
\include{la005-1-ppt}

\include{la005-2-ppt}

\include{la005-3-ppt}

\include{la005-4-ppt}

\include{la005-5-ppt}

\include{la005-6-ppt}
\end{CJK}

\end{document}