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\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 27 (Section  8.2 : Naissance de la fonction logarithme népérien)

\begin{tikzpicture}[scale=2]
 \tkzInit[xmin=0,xmax=3,xstep=1,
          ymin=-2,ymax=2,ystep=1]
 \tkzGrid
 \tkzAxeXY
 \tkzFct[domain= 0.4:3]{1./x}
 \tkzDefPointByFct(1)
 \tkzGetPoint{A}
 \tkzDefPointByFct(2)
 \tkzGetPoint{B}
 \tkzLabelPoints[above right](A,B)
 \tkzDrawArea[color=blue!30,
              domain = 1:2]
 \tkzFct[domain = 0.5:3]{log(x)}
 \tkzDrawArea[color=red!30,
              domain = 1:2]
 \tkzPointShowCoord(A)
 \tkzPointShowCoord(B)
 \tkzDrawPoints(A,B)
\end{tikzpicture}

\end{document}