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% Title Page
\titre{Entrainement calcul}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Octobre 2015}
%\duree{1 heure}
\sujet{\Var{infos.num}}
% DS DSCorr DM DMCorr Corr

\printanswers

\begin{document}

\begin{questions}


    \question
    Faire les calculs suivants en détaillant des étapes.
    \begin{multicols}{2}
    \begin{parts}
        \Block{set e = Expression.random("{a} + {b}*{c}")}
        \part $A = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
        \Block{set e = Expression.random("{a} - {b}*{c}")}
        \part $B = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
        \Block{set e = Expression.random("{a} * {b} + {c} * {d}")}
        \part $C = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
        \columnbreak
        \Block{set e = Expression.random("({a} + {b})*{c} + {d}")}
        \part $D = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
        \Block{set e = Expression.random("{a} * ({b} + {c}) * {d}")}
        \part $E = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
        \Block{set e = Expression.random("{c}({a} - {b}* {d})")}
        \part $F = \Var{e}$
        \begin{solution}
           \begin{eqnarray*}
               \Var{e.simplify().explain() | calculus(name = "A")} 
           \end{eqnarray*}
        \end{solution}
    \end{parts}
    \end{multicols}

    \question 
    Évaluer les expressions suivantes

    \begin{multicols}{2}
        \begin{parts}
            \Block{set P = Polynom.random(degree = 1)}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}
            \Block{set P = Polynom.random(degree = 1)}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}

            \Block{set P = Polynom.random(degree = 2)}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}
            \Block{set P = Polynom.random(degree = 2)}
            \Block{set x = Expression.random("{a}")}
            \part $\Var{P}$ en $x = \Var{x}$
            \begin{solution}
                \begin{eqnarray*}
                    \Var{P(x).explain()| calculus()}
                \end{eqnarray*}
            \end{solution}
        \end{parts}
        
    \end{multicols}

\end{questions}

\end{document}

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