109 lines
3.4 KiB
TeX
109 lines
3.4 KiB
TeX
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\title{Comparaison - Exercices}
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\tribe{Terminale TESL}
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\date{Janvier 2020}
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\pagestyle{empty}
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\geometry{left=10mm,right=10mm, top=10mm}
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\renewcommand{\baselinestretch}{0.8}
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\begin{document}
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\setlength{\columnseprule}{0pt}
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\begin{exercise}[subtitle={Intégrale et aire}]
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Calculer les quantités suivantes
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\begin{multicols}{4}
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\begin{enumerate}
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\item
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$\displaystyle
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\int_2^5 3 dx
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$
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\hspace{-1cm}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=0,xmax=5,xstep=1,
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ymin=0,ymax=4,ystep=1]
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\tkzGrid
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\tkzGrid[sub, subxstep=0.5, subystep=1]
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\tkzAxeXY[up space=0.5,right space=.2]
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\tkzFct[domain = 0:5, line width=1pt]{3}
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\end{tikzpicture}
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\item
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$\displaystyle
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\int_{2}^{5} x dx
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$
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\hspace{-1cm}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=0,xmax=5,xstep=1,
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ymin=0,ymax=5,ystep=1]
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\tkzGrid
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\tkzGrid[sub, subxstep=0.5, subystep=1]
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\tkzAxeXY[up space=0.5,right space=.2]
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\tkzFct[domain = 0:5, line width=1pt]{x}
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\end{tikzpicture}
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\item
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$\displaystyle
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\int_0^2 2x dx
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$
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\hspace{-1cm}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-2,xmax=3,xstep=1,
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ymin=-6,ymax=6,ystep=2]
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\tkzGrid
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%\tkzGrid[sub, subxstep=0.5, subystep=1]
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\tkzAxeXY[up space=0.5,right space=.2]
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\tkzFct[domain = -2:3, line width=1pt]{2*x}
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\end{tikzpicture}
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\item
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$\displaystyle
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\int_{0}^{2} 0.5 dx
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$
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\hspace{-1cm}
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\begin{tikzpicture}[yscale=.6, xscale=0.8]
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\tkzInit[xmin=-2,xmax=3,xstep=1,
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ymin=-2,ymax=2,ystep=1]
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\tkzGrid
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\tkzGrid[sub, subxstep=0.5, subystep=1]
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\tkzAxeXY[up space=0.5,right space=.2]
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\tkzFct[domain = -2:3, line width=1pt]{0.5}
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%\tkzFct[domain = 0:5, line width=1pt]{0.5}
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\end{tikzpicture}
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\end{enumerate}
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\end{multicols}
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\begin{multicols}{4}
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\begin{enumerate}
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\setcounter{enumi}{4}
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\item $\displaystyle \int_{0}^{2} 4 dx$
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\item $\displaystyle \int_{-100}^{100} 5 dx$
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\item $\displaystyle \int_{5}^{10} 2x dx$
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\item $\displaystyle \int_{5}^{10} 5x dx$
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\end{enumerate}
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\end{multicols}
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\begin{enumerate}
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\setcounter{enumi}{8}
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\item Comment peut-on calculer la quantité $\displaystyle \int_{a}^{b} f(x) dx$? Quand
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\begin{multicols}{2}
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\begin{enumerate}
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\item $f$ est une fonction constante.
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\item $f$ est une fonction linéaire.
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{exercise}
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\printexercise{exercise}{1}
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\printexercise{exercise}{1}
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\end{document}
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