166 lines
6.0 KiB
TeX
166 lines
6.0 KiB
TeX
\documentclass[a5paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
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%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
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% Title Page
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\titre{Technique: calcul et évaluation}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Septembre 2016}
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%\duree{1 heure}
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\sujet{\Var{infos.num}}
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% DS DSCorr DM DMCorr Corr
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%\printanswers
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\pagestyle{empty}
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\newcommand{\lesexos}{%
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\begin{Exo}
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Completer les pointillés.
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\begin{multicols}{3}
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\begin{enumerate}
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
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\item $ \dfrac{\ldots}{\Var{c}} = \dfrac{\Var{a}}{\Var{b}} $
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\columnbreak
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
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\item $\dfrac{\Var{b}}{\Var{a}} = \dfrac{\Var{c}}{\ldots}$
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\Block{set a,b,ans,c = random_str("{a*k},{b*k},{a*q},{b*q}", conditions = ["{a} != {b}", "{k} != {q}"], val_min = 2, val_max = 10).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\columnbreak
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"]).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"]).split(',')}
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\item $\dfrac{\Var{b}}{\Var{a}} = \dfrac{\Var{c}}{\ldots}$
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\Block{set a,b,ans,c = random_str("{a*k},{b*k},{a*q},{b*q}", conditions = ["{a} != {b}", "{k} != {q}"]).split(',')}
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\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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\begin{Exo}
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Faire les calculs suivants.
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\begin{multicols}{3}
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\begin{enumerate}
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\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} + {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
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\item $\Var{e}$
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\columnbreak
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\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} + {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} - {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
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\item $\Var{e}$
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\columnbreak
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\Block{set e = Expression.random("{a} / {b} - {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} + {k}", ["{b} > 1", "{k} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} + {c} / {d}", ["{b} > 1", "{d} > 1", "gcd({b},{d})==1"], val_min = 1)}
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\item $\Var{e}$
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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\begin{Exo}
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Calcule les quantités suivantes
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\begin{multicols}{3}
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\begin{enumerate}
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\item $\dfrac{3}{4}$ de $8m$
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\item $\dfrac{1}{3}$ de 12\euro
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\item $\dfrac{10}{2}$ de 1\euro
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\item $25\%$ de 28 élèves
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\columnbreak
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\item $\dfrac{3}{5}$ de $10kg$
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\item $30\%$ de 10 mabawas
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\item $75\%$ de 1L
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\item un quart de 20 bananes
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\columnbreak
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\item $120\%$ de 4kg
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\item un tiers de 20 élèves
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\item la moitié du tiers de 12\euro
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\item 10\% des trois quarts de 100L
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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\begin{Exo}
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Faire les calculs suivants.
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\begin{multicols}{3}
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\begin{enumerate}
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\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\columnbreak
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\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
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\item $\Var{e}$
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\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"])}
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\item $\Var{e}$
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\columnbreak
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\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"])}
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\item $\Var{e}$
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\Block{set e = Expression.random("{a} / {b} * {c} / {d}", ["{b} > 1","{d} > 1"])}
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\item $\Var{e}$
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\end{enumerate}
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\end{multicols}
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\end{Exo}
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}
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\begin{document}
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\lesexos
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\setcounter{exo}{0}
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%\vfill
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%\lesexos
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%\setcounter{exo}{0}
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%\vfill
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%
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%
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%\lesexos
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%\setcounter{exo}{0}
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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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