% !TeX TXS-program:compile = txs:///pdflatex

\documentclass[margin=5mm]{standalone}
\usepackage{ProfLycee}
\usepackage{tkz-euclide}

\begin{document}

\begin{tikzpicture}[x=0.45cm,y=0.45cm,xmin=-1,xmax=15,xgrille=1,xgrilles=0.5,ymin=-1,ymax=4,ygrille=1,ygrilles=0.5]
	\coordinate (A) at (0,0) ; \coordinate (B) at (1,0) ; \coordinate (C) at (1,0.29) ; \coordinate (D) at (12.7,1.87) ; \coordinate (E) at (13.7,0) ;
	\GrilleTikz
	\draw[thick,darkgray](B)--(C) ;
	\tkzFillAngle[mark=none,fill=gray!50,opacity=50,size=1](B,A,C)
	\tkzMarkAngle[thick,mark=none,darkgray,size=1](D,E,B)
	\tkzFillAngle[mark=none,fill=gray!50,opacity=50,size=1](D,E,B)
	\AxesTikz[ElargirOx=0/0,ElargirOy=0/0]
	%\axextikz{} \axeytikz{1}
	\draw (0,0) node[above left=2pt] {0} ;
	\draw (13.7,0) node[above right] {$13,7$} ;
	\clip (\xmin,\ymin) rectangle (\xmax,\ymax) ;
	\draw[very thick,gray,domain=0:13.7,samples=500] plot (\x,{(-0.15*\x+2.2)*exp(0.2*\x)-2.2}) ;
	\draw[thick,domain=-1:15,samples=2] plot (\x,{0.29*\x}) ;
	\draw[thick,domain=10:15,samples=2] plot (\x,{-1.87*(\x-13.7)}) ;
	\draw ({0.5*16.17}:2) node[font=\scriptsize] {$d$} ;
	\draw ($(E)+({180-62*0.5}:1.5)$) node[font=\scriptsize] {$a$} ;
\end{tikzpicture}

\end{document}