\documentclass[border=10pt,pstricks]{standalone}
\usepackage{mathptmx}
\usepackage{pst-node,pstricks-add,amsmath,amssymb}
\begin{document}
\psset{unit=1.5cm,opacity=.5}
\begin{pspicture}[showgrid](-2,-2)(6,6)
\pnodes(0,0){O}(4,0){B}(0,4){A}
\pnodes(0.75,0){Q}(2.75,0){W}
\pnodes(0,0.75){T}(0,2){R}
\pnodes(Q|R){D}(W|T){E}(B|A){BA}
%%%%
\pspolygon[fillstyle=solid,fillcolor=cyan,linestyle=none](A)(D)(R)
\pspolygon[fillstyle=solid,fillcolor=cyan,linestyle=none](D)(Q|T)(E)
\pspolygon[fillstyle=solid,fillcolor=cyan,linestyle=none](E)(W)(B)
\psLineSegments(O)(W)(B)(B|A)
\psset{linewidth=1.5pt,labelsep=.1}
\ncline[linecolor=blue!50]{O}{T} \naput{a} % a
\pcline[linecolor=blue!50](A)(Q|A) \naput{a} % a
\pcline[linecolor=orange](R)(A) \naput{b} % b
\pcline[linecolor=orange](Q|A)(W|A) \naput{b} % b
\pcline[linecolor=green](T)(R) \naput{c} % c
\pcline[linecolor=green](W|A)(B|A) \naput{c} % c
\psLineSegments[linewidth=.7pt,
linestyle=dashed,
dash=0.05 0.05]%
(T)(B|T)(R)(B|R)(Q)(Q|A)(W)(W|A)
\psLineSegments[linecolor=green](W)(B)(Q|T)(D)
\psLineSegments[linecolor=blue!70](R)(D)(W)(E)
\psline[linecolor=orange](Q|T)(E)
%%%% Labels
\psset{nrot=:U,linewidth=1pt,labelsep=.01}
\pcline[linecolor=red](A)(B)
\naput[npos=.3]{\small \color{red}$\displaystyle (a+b+c)\sqrt{2}$}
\pcline[linecolor=blue](A)(D)
\nbput[npos=.6]{\small \color{blue}$\displaystyle \sqrt{a^2+b^2}$}
\pcline[linecolor=blue](D)(E)
\nbput{\small \color{blue}$\displaystyle \sqrt{b^2+c^2}$}
\pcline[linecolor=blue](E)(B)
\nbput[npos=.4]{\small \color{blue}$\displaystyle \sqrt{c^2+a^2}$}
%%%% Braces
\psbrace[braceWidth=.75pt,braceWidthOuter=5pt,braceWidthInner=3pt,% pstricks-add package
rot=90,ref=tC,nodesepB=3pt,linestyle=dashed](O|0,-.1)(B|0,-.1){\small $a+b+c$}
\psbrace[braceWidth=.75pt,braceWidthOuter=5pt,braceWidthInner=3pt,
rot=0,ref=lC,nodesepA=3pt,linestyle=dotted](4.2,0|B)(4.2,0|BA){\small $a+b+c$}
%%%%
\uput{3pt}[160](A){$A$}
\uput{3pt}[0](B){$B$}
\uput{3pt}[200](O){$0$}
\uput{3pt}[-130](D){$D$}
\uput{3pt}[-130](E){$E$}
\psdots[linecolor=violet](A)(D)(E)(B)
%%%%
\uput[90](2,4.5){\psframebox[linestyle=none,fillstyle=solid,fillcolor=cyan]%
{$\displaystyle \sqrt{a^2+b^2}+\sqrt{b^2+c^2}+\sqrt{c^2+a^2}\geq (a+b+c)\sqrt{2}$}}
\end{pspicture}
\end{document}
我想用dotted或dashed样式绘制括号。我该怎么做？%%%%
答案1
与pstricks-add来自https://archiv.dante.de/~herbert/TeXnik/tex/generic/pstricks-add/ 和
%%%% Braces
\psbrace[singleline,% pstricks-add package
rot=90,ref=tC,nodesepB=3pt,linestyle=dashed](O|0,-.1)(B|0,-.1){\small $a+b+c$}
\psbrace[braceWidth=.75pt,singleline,
rot=0,ref=lC,nodesepA=3pt,linestyle=dotted,dotsep=2pt,
linewidth=1pt](4.2,0|B)(4.2,0|BA){\small $a+b+c$}
%%%%
可选参数singleline（那么它不能不被填充）你会得到：
