104 lines
3.6 KiB
TeX
104 lines
3.6 KiB
TeX
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\documentclass[a5paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{Racine carré- Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Avril 2016}
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\geometry{left=10mm,right=10mm, bottom= 10mm, top=10mm}
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%\printanswers
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\begin{document}
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\vfill
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\begin{Exo}
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Mettre les nombres suivants sous la forme $\sqrt{a}$, puis calculer de carré de chacun de ses nombres.
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\begin{multicols}{4}
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\begin{enumerate}
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\Var{e} \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\Var{e} \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\Var{e} \sqrt{\Var{f}}$
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\Block{set e = randint(2, 10)}
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\Block{set f = randint(2, 15)}
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\item $\Var{e} \sqrt{\Var{f}}$
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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\vfill
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\begin{Exo}
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Mettre les nombres suivants sous la forme $a\sqrt{b}$.
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\begin{multicols}{4}
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\begin{enumerate}
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
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\item $\sqrt{\Var{s.simplify()}}$
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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\vfill
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\begin{Exo}
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Ne pas utiliser la calculatrice dans cet exercice.
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Calculer la longueur manquante dans les triangles rectangles suivant et mettre sous la forme $a\sqrt{b}$ avec $b$ le plus petit possible.
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\begin{enumerate}
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\item $ABC$ rectangle en $A$ tel que $AB = \sqrt{3}$ et $AC = \sqrt{2}$.
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\item $IJK$ rectangle en $J$ tel que $IJ = 5$ et $JK = \sqrt{7}$.
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\item $LMN$ rectangle en $L$ tel que $LM = \sqrt{7}$ et $MN = 7$.
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\end{enumerate}
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\end{Exo}
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\vfill
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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