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Here is the code:

    \documentclass{beamer}
    \usepackage{xeCJK}
    \usepackage{tikz}
    \usepackage{pstricks}
    \setCJKmainfont{SimSun}

    \usetheme{CambridgeUS}
    \setbeamertemplate{navigation symbols}{}
    \begin{document}

    \title{moumou专题}
    \author{author}
    \institute{moumou@gmail.com}
    \date{2013-08-03}

    \begin{frame}
    \titlepage
    \end{frame}

    \begin{frame}[t]
    \scriptsize
    在平面直角坐标系$xoy$中,点B与点$\text{A}(-1,1)$关于原点O对称,P是动点,且直线AP与   BP      的斜率之积等于$-\dfrac{1}{3}$.\\
    (I)求动点P的轨迹方程;\\
    (II)设直线AP和BP分别与直线$x=3$交于点M,N,问:是否存在点P使得$\bigtriangleup       \text{PAB}$与$\bigtriangleup\text{PMN}$的面积相等?若存在,求出点P的坐标;若不存在,说明理由.
     \begin{pspicture}%[showgrid=true](8,6)
     \psellipse[linecolor=red](4,3)(4,3)
     \pscircle[linecolor=blue](4,3){2}
     \end{pspicture}
     \end{frame}

    \begin{frame}[t]
    \scriptsize
在平面直角坐标系$xoy$中,点B与点$\text{A}(-1,1)$关于原点O对称,P是动点,且直线AP与BP的斜率之积等于$-\dfrac{1}{3}$.\\
   (I)求动点P的轨迹方程;\\
   (II)设直线AP和BP分别与直线$x=3$交于点M,N,问:是否存在点P使得$\bigtriangleup
\text{PAB}$与$\bigtriangleup\text{PMN}$的面积相等?若存在,求出点P的坐标;若不存在,说明理由.
  \begin{tikzpicture}
  \draw (0,0) ellipse (2cm and 1cm);
  \end{tikzpicture}
  \end{frame}
  \begin{frame}
  \end{frame}
  \end{document}

I can only draw simple figure, but I wonder how to put the figure at some place within a beamer slide.

Here is a picture to describe my question. enter image description here

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Can you please provide an MWE (i.e. only with things that are necessary for the code to work)? tikz should be able to do what you want for the ellipse, if you give it the right coordinates. What methods have you used to insert the eps figure? –  darthbith Aug 3 '13 at 13:43
    
These are two separate questions. Only one problem per question post, please. –  Jubobs Aug 3 '13 at 16:16
    
I can only draw ellipse in tikz.I want to place a ellipse some place I want.How can I specify it ?From now on,I will not post such questions which does not have MWE. –  nyRobot Aug 4 '13 at 0:23
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1 Answer

You can find solutions to most basic or advanced drawing problems in PGF Manual and PSTricks Guide.

Now, for your ellipse, here is my example using tikz:

\documentclass{beamer}
\usepackage{xeCJK}
\usepackage{tikz}
\setCJKmainfont{SimSun}

\usetheme{CambridgeUS}
\setbeamertemplate{navigation symbols}{}

\title{moumou专题}
\author{author}
\institute{moumou@gmail.com}
\date{2013-08-03}

\begin{document}

\begin{frame}
\titlepage
\end{frame}

\begin{frame}[t]
\scriptsize 在平面直角坐标系$xoy$中,点B与点$\text{A}(-1,1)$关于原点O对称,P是动点,且直线AP与BP的斜率之积等于$-\dfrac{1}{3}$.

\begin{enumerate}
\item 求动点P的轨迹方程;
\item 设直线AP和BP分别与直线$x=3$交于点M,N,问:是否存在点P使得$\bigtriangleup\text{PAB}$与$\bigtriangleup\text{PMN}$的面积相等?若存在,求出点P的坐标;若不存在,说明理由.
\end{enumerate}

\begin{tikzpicture}
% Draw Axes
\draw (0,0) node[below left] {O};
\draw[->] (-2.5,0) -- (2.5,0) node[below] {\(x\)};
\draw[->] (0,-1.5) -- (0,1.5) node[left] {\(y\)};
% Draw Ticks
\foreach \x in {-2,-1,1,2}
\draw (\x,1pt) -- (\x,-1pt) node[below] {\x};
\foreach \y in {-1,1}
\draw (1pt,\y) -- (-1pt,\y) node[left] {\y};
% Draw Ellipse
\draw (0,0) ellipse (2 and {2/sqrt(3)});
\end{tikzpicture}

\end{frame}
\end{document}

Let's check the result to see if it is the intended one:

enter image description here

EDIT: More on alignment. You can use commands

{\raggedright ... \par}
{\centering ... \par}
{\raggedleft ... \par}

to adjust the horizontal position of the picture.

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