Import work from year 2014-2015
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1er_STMG/Suites_fonctions/2nd_deg/Cours/2nd_deg.pdf
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1er_STMG/Suites_fonctions/2nd_deg/Cours/2nd_deg.pdf
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1er_STMG/Suites_fonctions/2nd_deg/Cours/2nd_deg.tex
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1er_STMG/Suites_fonctions/2nd_deg/Cours/2nd_deg.tex
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\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/tools/style/classCours}
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\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/2014_2015}
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% Title Page
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\titre{Polynôme du 2nd degré}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\PSTMG}
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\date{Novembre 2014}
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\begin{document}
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\maketitle
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\section{Polynôme du 2nd degré}
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\begin{Def}
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$f$ est un polynôme du 2nd degré quand elle est la forme
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\begin{eqnarray*}
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f(x) & = & ax^2 + bx + c
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\end{eqnarray*}
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avec $a$, $b$ et $c$ des rééls tels que $a \neq 0$.
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\end{Def}
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\begin{Ex}
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Les coûts de productions d'une entreprise se calcul à partir de la fonction suivante
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\begin{eqnarray*}
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f(x) & = & x^2 + 5x + 125
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\end{eqnarray*}
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$f(x)$ est une fonction polynôme du 2nd degré et $a = 1$, $b = 5$ et $c = 125$.
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Pour calculer les coûts pour 10 ordinateurs, on remplace les $x$ par 10 dans l'expression de $f$
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\begin{eqnarray*}
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f(10) & = & 10^2 + 5 \times 10 + 125
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\end{eqnarray*}
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On dessine le tableau fait en TP et on note comment faire calculer par un ordinateur.
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\end{Ex}
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\begin{Prop}
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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 $a$}.
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\end{Prop}
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\section{Équation du 2nd degré}
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\begin{Def}
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$f(x) = ax^2 + bx + c$ alors on définit
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\begin{eqnarray*}
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\Delta & = & b^2 - 4ac
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\end{eqnarray*}
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$\Delta$ sera le nombre qui déterminera le nombre de solution à une équation.
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\end{Def}
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\begin{Ex}
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3 exemples en fonction du signe de $\Delta$
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\end{Ex}
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\section{$\Delta$ et les polynômes du 2nd degré}
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\begin{Prop}
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Tableau de signe et graphique en fonction de $\Delta$ et $a$
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\end{Prop}
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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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1er_STMG/Suites_fonctions/2nd_deg/Cours/index.rst
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1er_STMG/Suites_fonctions/2nd_deg/Cours/index.rst
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Notes sur le cours autour des polynômes du 2nd degré pour les 1stmg
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###################################################################
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:date: 2015-07-01
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:modified: 2015-07-01
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:tags: Fonctions,Cours
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:category: 1er_STMG
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:authors: Benjamin Bertrand
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:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
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`Lien vers resume.pdf <resume.pdf>`_
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`Lien vers 2nd_deg.tex <2nd_deg.tex>`_
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`Lien vers 2nd_deg.pdf <2nd_deg.pdf>`_
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1er_STMG/Suites_fonctions/2nd_deg/Cours/resume.pdf
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sodipodi:role="line"
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style="fill:none;stroke:#000000;stroke-width:2.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Sstart);marker-mid:none;marker-end:none" />
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sodipodi:role="line"
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y="777.63782">Si a > 0:</tspan></text>
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y="910.77844">Si a < 0</tspan></text>
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After Width: | Height: | Size: 22 KiB |
Reference in New Issue
Block a user