Import work from year 2014-2015

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Benjamin Bertrand
2017-06-16 09:48:07 +03:00
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\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/2014_2015}
% Title Page
\titre{Polynôme du 2nd degré}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\PSTMG}
\date{Novembre 2014}
\begin{document}
\maketitle
\section{Polynôme du 2nd degré}
\begin{Def}
$f$ est un polynôme du 2nd degré quand elle est la forme
\begin{eqnarray*}
f(x) & = & ax^2 + bx + c
\end{eqnarray*}
avec $a$, $b$ et $c$ des rééls tels que $a \neq 0$.
\end{Def}
\begin{Ex}
Les coûts de productions d'une entreprise se calcul à partir de la fonction suivante
\begin{eqnarray*}
f(x) & = & x^2 + 5x + 125
\end{eqnarray*}
$f(x)$ est une fonction polynôme du 2nd degré et $a = 1$, $b = 5$ et $c = 125$.
Pour calculer les coûts pour 10 ordinateurs, on remplace les $x$ par 10 dans l'expression de $f$
\begin{eqnarray*}
f(10) & = & 10^2 + 5 \times 10 + 125
\end{eqnarray*}
On dessine le tableau fait en TP et on note comment faire calculer par un ordinateur.
\end{Ex}
\begin{Prop}
Soit $f(x) = ax^2 + bx + c$ alors la courbe représentative de $f$ est une \textbf{parabole} de la forme \textit{2graphiques en fonction du signe de $a$}.
\end{Prop}
\section{Équation du 2nd degré}
\begin{Def}
$f(x) = ax^2 + bx + c$ alors on définit
\begin{eqnarray*}
\Delta & = & b^2 - 4ac
\end{eqnarray*}
$\Delta$ sera le nombre qui déterminera le nombre de solution à une équation.
\end{Def}
\begin{Ex}
3 exemples en fonction du signe de $\Delta$
\end{Ex}
\section{$\Delta$ et les polynômes du 2nd degré}
\begin{Prop}
Tableau de signe et graphique en fonction de $\Delta$ et $a$
\end{Prop}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur le cours autour des polynômes du 2nd degré pour les 1stmg
###################################################################
:date: 2015-07-01
:modified: 2015-07-01
:tags: Fonctions,Cours
:category: 1er_STMG
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers resume.pdf <resume.pdf>`_
`Lien vers 2nd_deg.tex <2nd_deg.tex>`_
`Lien vers 2nd_deg.pdf <2nd_deg.pdf>`_

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After

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