85 lines
2.6 KiB
TeX
85 lines
2.6 KiB
TeX
\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
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% Pour les formes
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\usepackage{pifont}
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% Title Page
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\titre{3}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\seconde}
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\date{27 mars 2015}
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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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\typedoc{DM}
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\begin{document}
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\Large
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\maketitle
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Vous devez rendre le sujet avec la copie.
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\begin{questions}
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\question
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\begin{parts}
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\part Développer et simplifier les expressions suivantes
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\Block{set A = Expression.random("{a}x^2 + {b} + {c}x^2 + {d}x + {e}")}
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\Block{set B = Expression.random("({a}x + {b})({a} - {c}x)")}
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\Block{set C = Expression.random("({a}x + {b})^2 + {c}")}
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\Block{set D = Expression.random("4({a}x + {b})^2 + {d}x + {c}")}
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\begin{subparts}
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\subpart $A = \Var{A}$
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\subpart $B = \Var{B}$
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\subpart $C = \Var{C}$
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\subpart $D = \Var{D}$
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\end{subparts}
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\part Factoriser les expressions suivantes
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\Block{set A = Expression.random("{a}x^2 - x")}
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\Block{set B = Expression.random("{a*a}x^2 - {2*a*b}x + {b*b}", ["{a}>0", "{b}>0"])}
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\Block{set C = Expression.random("{a*a}x^2 + {b*b} + {2*a*b}x ", ["{a}>0", "{b}>0"])}
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\Block{set D = Expression.random("{a*a}x^2 - {b*b}")}
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\begin{subparts}
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\subpart $A = \Var{A}$
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\subpart $B = \Var{B}$
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\subpart $C = \Var{C}$
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\subpart $D = \Var{D}$
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\end{subparts}
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\part Résoudre les équations suivantes
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\Block{set A = Polynom.random(degree = 1)}
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\Block{set B1 = Polynom.random(degree = 1)}
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\Block{set B2 = Polynom.random(degree = 1)}
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\Block{set C1 = Polynom.random(degree = 1)}
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\Block{set C2 = Polynom.random(degree = 1)}
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\Block{set D = Expression.random("({a}x + {b})({c}x - {d})", ["{b} > 0", "{d} > 0"])}
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\begin{subparts}
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\subpart $\Var{A} = 0$
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\subpart $\Var{B1} = \Var{B2}$
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\subpart $\Var{C1} = \Var{C2}$
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\subpart $\Var{D} = 0$
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\end{subparts}
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\end{parts}
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\question
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\definecolor{vert}{cmyk}{1,0,1,0.6}
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\definecolor{jaune}{cmyk}{0,0.1,1,0.05}
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\definecolor{marron}{cmyk}{0,0.7,1,0.3}
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\definecolor{vert}{cmyk}{1,0,1,0.6}
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\Block{set subj = randint(1,5)}
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\input{./jetons\Var{subj}.tex}
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\end{questions}
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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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