12-6-5.tex

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% 12-6-5.tex
\documentclass{article}
\usepackage[dvipsnames]{pstricks}
\usepackage{CJK}
\begin{document}
\begin{CJK*}{GBK}{song}
\CJKtilde
\begin{center}
      \begin{pspicture}(0,-1)(5.5,5.5)
        \pscurve[linecolor=blue]%
                (2,1)(1,2)(2,4)%
                (2.5,2)(4,4)(3.5,2.5)
      \end{pspicture}

图~45
\end{center}

\begin{center}
      \begin{pspicture}(0,-1)(5.5,5.5)
        \pscurve[linecolor=blue,%
                 showpoints=true]%
                (2,1)(1,2)(2,4)%
                (2.5,2)(4,4)(3.5,2.5)
      \end{pspicture}

图~46
\end{center}

\begin{center}
      \begin{pspicture}(0,-1)(5.5,5.5)
        \psccurve[linecolor=blue]%
                 (2,1)(1,2)(2,4)%
                 (2.5,2)(4,4)(3.5,2.5)
     \end{pspicture}

图~47
\end{center}

\begin{center}
  \psset{unit=1.5cm}
  \begin{pspicture}(0,0)(5,5)
    %\colgrid
    \psframe[linecolor=Apricot](0,0)(5,5)
    \pscurve[linecolor=blue,%
             showpoints=true]%
            (2,1)(1,2)(2,4)%
            (2.5,2)(4,4)(3.5,2.5)
    \psline[linecolor=RoyalBlue]%
           (2,1)(1,2)(2,4)
    \psline[linecolor=RoyalBlue]%
           (1,2)(2,2.16)
    \psline[linecolor=RoyalBlue]%
           (1.16,1)(0.68,4)
    \uput[d](2,1){\color{RoyalBlue} $A$}
    \uput[l](1,2){\color{RoyalBlue} $B$}
    \uput[u](2,4){\color{RoyalBlue} $C$}
  \end{pspicture}

图~48
\end{center}

\begin{center}
      \begin{pspicture}(0,-1)(5,6)
        \psecurve[linecolor=blue]%
                 (2,1)(1,2)(2,4)%
                 (2.5,2)(4,4)(3.5,2.5)
      \end{pspicture}

图~49
\end{center}

\begin{center}
      \begin{pspicture}(0,-1)(5,6)
        \psecurve[linecolor=blue]%
                 (0.5,1)(1,2)(2,4)%
                 (2.5,2)(4,4)(4.5,4.5)
       \end{pspicture}

图~50
\end{center}

\begin{center}
  \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=2 0.1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
     \uput[d](2.5,-0.5){{curvature = {\color{red}2} 0.1 0}}
  \end{pspicture}
  \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 0.1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
    \uput[d](2.5,-0.5){{curvature = {\color{red}1} 0.1 0} (Default)}
   \end{pspicture}
\par
  \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=0 0.1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = {\color{red}0} 0.1 0}}
 \end{pspicture}
  \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=-1 0.1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
    \uput[d](2.5,-0.5){{curvature = {\color{red}--1} 0.1 0}}
  \end{pspicture}

图~51
\end{center}

\begin{center}
  \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 2 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 {\color{red}2} 0}}
   \end{pspicture}
   \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 {\color{red}1} 0}}
   \end{pspicture}
\par
   \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 0.1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 {\color{red}0.1} 0} (Default)}
   \end{pspicture}
   \begin{pspicture}(0,-1)(5,6)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 -1 0]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 {\color{red}--1} 0}}
   \end{pspicture}

图~52
\end{center}

\begin{center}
  \begin{pspicture}(0,-1)(5,6)
    \psframe[linecolor=Apricot](0,0)(5,5)
    \pscurve[linecolor=blue,%
             showpoints=true,%
             curvature=1 0.1 2]%
             (2,1)(1,2)(2,4)%
             (2.5,2)(4,4)(3.5,2.5)
    \uput[d](2.5,-0.5){{curvature = 1 0.1 {\color{red}2}}}
    \psline[linecolor=RoyalBlue](4.1,4.6)(3.81,2.6)
    \uput[d](2.5,2){\color{RoyalBlue} $A$}
    \uput[ur](4,4){\color{RoyalBlue} $B$}
    \uput[d](3.5,2.5){\color{RoyalBlue} $C$}
 \end{pspicture}
 \begin{pspicture}(0,-1)(5,6)
   \psframe[linecolor=Apricot](0,0)(5,5)
   \pscurve[linecolor=blue,%
            showpoints=true,%
            curvature=1 0.1 1]%
           (2,1)(1,2)(2,4)%
           (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 0.1 {\color{red}1}}}
   \psline[linecolor=RoyalBlue](4,4.6)(4,2.6)
   \uput[d](2.5,2){\color{RoyalBlue} $A$}
   \uput[ur](4,4){\color{RoyalBlue} $B$}
   \uput[d](3.5,2.5){\color{RoyalBlue} $C$}
 \end{pspicture}
\par
 \begin{pspicture}(0,-1)(5,6)
   \psframe[linecolor=Apricot](0,0)(5,5)
   \pscurve[linecolor=blue,%
            showpoints=true,%
            curvature=1 0.1 0]%
            (2,1)(1,2)(2,4)%
            (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 0.1 {\color{red}0}} (Default)}
   \psline[linecolor=RoyalBlue](2.5,2)(4,4)(3.5,2.5)
   \psline[linecolor=RoyalBlue](4,4)(3.11,2.31)
   \psline[linecolor=RoyalBlue](4.6,3.68)(3.2,4.42)
   \uput[d](2.5,2){\color{RoyalBlue} $A$}
   \uput[u](4,4){\color{RoyalBlue} $B$}
   \uput[d](3.5,2.5){\color{RoyalBlue} $C$}
 \end{pspicture}
 \begin{pspicture}(0,-1)(5,6)
   \psframe[linecolor=Apricot](0,0)(5,5)
   \pscurve[linecolor=blue,%
            showpoints=true,%
            curvature=1 0.1 -1]%
            (2,1)(1,2)(2,4)%
            (2.5,2)(4,4)(3.5,2.5)
   \uput[d](2.5,-0.5){{curvature = 1 0.1 {\color{red}--1}}}
   \psline[linecolor=RoyalBlue](2,1.75)(4,2.75)
   \psline[linecolor=RoyalBlue](3,3.5)(4.6,4.3)
   \uput[d](2.5,2){\color{RoyalBlue} $A$}
   \uput[u](4,4){\color{RoyalBlue} $B$}
   \uput[d](3.5,2.5){\color{RoyalBlue} $C$}
 \end{pspicture}

图~53
\end{center}

\begin{center}
  \psset{unit=1.5cm}
  \begin{pspicture}(0,-1)(5,6)
    \psframe[linecolor=Apricot](0,0)(5,5)
    \psline[linecolor=cyan,showpoints=true]%
           (1,2.5)(2,3.5)(3,0.5)(4,4)
    \uput[d](1,2.5){$z_1$}
    \uput[u](2,3.5){$z_2$}
    \uput[d](3,0.5){$z_3$}
    \uput[u](4,4){$z_4$}
    \psline[linecolor=RoyalBlue,showpoints=true]%
           (1.5,3)(2.5,2)(3.5,2.25)
    \uput[l](1.5,3){$z_{12}$}
    \uput[dl](2.5,2){$z_{23}$}
    \uput[r](3.5,2.25){$z_{34}$}
    \psline[linecolor=CadetBlue,showpoints=true]%
           (2,2.5)(3,2.125)
    \uput[dl](2,2.5){$z_{123}$}
    \uput[dr](3,2.125){$z_{234}$}
    \psdots[linecolor=blue](2.5,2.3125)
    \uput[ur](2.5,2.3125){$z_{1234}$}
    \psbezier[linecolor=blue]%
             (1,2.5)(2,3.5)(3,0.5)(4,4)
  \end{pspicture}

图~54
\end{center}
\end{CJK*}
\end{document}