86 lines
3.1 KiB
TeX
86 lines
3.1 KiB
TeX
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\documentclass[a5paper,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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% Title Page
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\titre{Révision - calculs}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\seconde}
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\date{Avril 2015}
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\typedoc{DS}
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\begin{document}
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\begin{questions}
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\question 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}", conditions = ["{a} != -1", "{c} >1"])}
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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{parts}
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\part $A = \Var{A}$
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\part $B = \Var{B}$
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\part $C = \Var{C}$
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\part $D = \Var{D}$
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\end{parts}
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\question 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{parts}
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\part $A = \Var{A}$
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\part $B = \Var{B}$
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\part $C = \Var{C}$
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\part $D = \Var{D}$
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\end{parts}
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\question 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{parts}
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\part $\Var{A} = 0$
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\part $\Var{B1} = \Var{B2}$
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\part $\Var{C1} = \Var{C2}$
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\part $\Var{D} = 0$
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\end{parts}
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\question
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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{parts}
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\part Tracer le tableau de signes des fonctions suivantes et vérifier le résultat à la calculatrice.
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\begin{subparts}
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\subpart $f(x) = \Var{A}$
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\subpart $g(x) = (\Var{B1})(\Var{B2})$
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\subpart $h(x) = (\Var{C1})(\Var{C2})$
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\end{subparts}
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\part Résoudre les équations suivantes
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\begin{subparts}
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\subpart $g(x) \leq 0$
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\subpart $h(x) > 0$
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\subpart $h(x) \geq 0$
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\subpart $f(x) > 4x - 1 $
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\end{subparts}
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\end{parts}
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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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