\documentclass[a5paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
% Pour les formes

% Title Page
\titre{Révision - calculs}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\seconde}
\date{Avril  2015}
\typedoc{DS}

\begin{document}

\begin{questions}

    \question Développer et simplifier les expressions suivantes
    \Block{set A = Expression.random("{a}x^2 + {b} + {c}x^2 + {d}x + {e}", conditions = ["{a} != -1", "{c} >1"])}
        \Block{set B = Expression.random("({a}x + {b})({a} - {c}x)")}
        \Block{set C = Expression.random("({a}x + {b})^2 + {c}")}
        \Block{set D = Expression.random("4({a}x + {b})^2 + {d}x + {c}")}
        \begin{parts}
            \part $A = \Var{A}$
            \part $B = \Var{B}$
            \part $C = \Var{C}$
            \part $D = \Var{D}$
        \end{parts}

        \question Factoriser les expressions suivantes
        \Block{set A = Expression.random("{a}x^2 - x")}
        \Block{set B = Expression.random("{a*a}x^2 - {2*a*b}x + {b*b}", ["{a}>0", "{b}>0"])}
        \Block{set C = Expression.random("{a*a}x^2 + {b*b} + {2*a*b}x ", ["{a}>0", "{b}>0"])}
        \Block{set D = Expression.random("{a*a}x^2 - {b*b}")}
        \begin{parts}
            \part $A = \Var{A}$
            \part $B = \Var{B}$
            \part $C = \Var{C}$
            \part $D = \Var{D}$
        \end{parts}

        \question Résoudre les équations suivantes
        \Block{set A = Polynom.random(degree = 1)}
        \Block{set B1 = Polynom.random(degree = 1)}
        \Block{set B2 = Polynom.random(degree = 1)}
        \Block{set C1 = Polynom.random(degree = 1)}
        \Block{set C2 = Polynom.random(degree = 1)}
        \Block{set D = Expression.random("({a}x + {b})({c}x - {d})", ["{b} > 0", "{d} > 0"])}
        \begin{parts}
            \part $\Var{A} = 0$
            \part $\Var{B1} = \Var{B2}$
            \part $\Var{C1} = \Var{C2}$
            \part $\Var{D} = 0$
        \end{parts}

        \question 
        \Block{set A = Polynom.random(degree = 1)}
        \Block{set B1 = Polynom.random(degree = 1)}
        \Block{set B2 = Polynom.random(degree = 1)}
        \Block{set C1 = Polynom.random(degree = 1)}
        \Block{set C2 = Polynom.random(degree = 1)}
        \Block{set D = Expression.random("({a}x + {b})({c}x - {d})", ["{b} > 0", "{d} > 0"])}
        \begin{parts}
            \part Tracer le tableau de signes des fonctions suivantes et vérifier le résultat à la calculatrice.
            \begin{subparts}
                \subpart $f(x) = \Var{A}$
                \subpart $g(x) = (\Var{B1})(\Var{B2})$
                \subpart $h(x) = (\Var{C1})(\Var{C2})$
            \end{subparts}
            \part Résoudre les équations suivantes
            \begin{subparts}
                \subpart $g(x) \leq 0$
                \subpart $h(x) > 0$
                \subpart $h(x) \geq 0$
                \subpart $f(x) > 4x - 1 $
            \end{subparts}
        \end{parts}
        
\end{questions}

\end{document}

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