chapitre 2 1ere
authorDenise sur Titasmo <denise.maurice@normalesup.org>
Wed, 7 Oct 2015 14:57:33 +0000 (16:57 +0200)
committerDenise sur Titasmo <denise.maurice@normalesup.org>
Wed, 7 Oct 2015 14:57:33 +0000 (16:57 +0200)
1ere/chapitre2_fonctions/chap2.pdf
1ere/chapitre2_fonctions/chap2.tex
1ere/chapitre2_fonctions/graphe_exemple.pdf [new file with mode: 0644]
1ere/chapitre2_fonctions/graphe_exemple.svg [new file with mode: 0644]
1ere/chapitre2_fonctions/monotonie.svg [new file with mode: 0644]
ESPE/TC_gestionclasse/gestionclasse2 [new file with mode: 0644]
docvariations.pdf [new file with mode: 0644]

index 2707c7a7b22d87511e07ea6c33d7da9920cc3a9d..79bc17ac91e6780d1f827ea8811bb97bedaaca48 100644 (file)
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@@ -7,33 +7,85 @@
 \maketitle
 
 \section{Généralités}
-\begin{defn}
-On définit une fonction $f$ sur un sous-ensemble $D$ de $\R$ en associant à chaque réel $x$ de $D$ un et un seul réel noté $f(x)$ appelé image du nombre $x$.
+%\begin{defn}
+%On définit une fonction $f$ sur un sous-ensemble $D$ de $\R$ en associant à chaque réel $x$ de $D$ un et un seul réel noté $f(x)$ appelé image du nombre $x$.
 
-$D$ est appelé l'ensemble de définition de $f$.
-\end{defn}
-En général, $D$ est un intervalle ou une réunion d'intervalles.
+%$D$ est appelé l'ensemble de définition de $f$.
+%\end{defn}
+%En général, $D$ est un intervalle ou une réunion d'intervalles.
 
-\begin{defn}
-La représentation graphique (ou courbe représentative) de $f$ est l'ensemble des points $M$ de coordonnées $(x; f(x))$ pour tous les $x$ appartenant à $D$.
-\end{defn}
-Autrement dit, un point $M(x;y)$ appartient à la courbe si et seulement si $y=f(x)$.
+%\begin{defn}
+%La représentation graphique (ou courbe représentative) de $f$ est l'ensemble des points $M$ de coordonnées $(x; f(x))$ pour tous les $x$ appartenant à $D$.
+%\end{defn}
+%Autrement dit, un point $M(x;y)$ appartient à la courbe si et seulement si $y=f(x)$.
+
+\subsection{Sens de variation}
 
 \begin{defn}
 Soit $f$ une fonction définie sur un intervalle $I$ de $\R$.
 \begin{itemize2}
 \item $f$ est croissante sur $I$ si, pour tous réels $a$ et $b$ de $I$, si $a \leq b$ alors $f(a) \leq f(b)$
 \item  $f$ est décroissante sur $I$ si, pour tous réels $a$ et $b$ de $I$, si $a \leq b$ alors $f(a) \geq f(b)$
-\item $f$ est strictement croissante sur $I$ ... si $a < b$ alors $f(a) < f(b)$.
-\item $f$ est strictement décroissante sur $I$ ... si $a < b$ alors $f(a) > f(b)$.
+\item $f$ est strictement croissante sur $I$ si, pour tous réels $a$ et $b$ de $I$, si $a < b$ alors $f(a) > f(b)$
+\item  $f$ est strictement décroissante sur $I$ si, pour tous réels $a$ et $b$ de $I$, si $a < b$ alors $f(a) > f(b)$
 \end{itemize2}
 \end{defn}
+Autrement dit, une fonction croissante conserve le sens des inégalités.\\
+Une fonction décroissante change le sens des inégalités.
 
 \vspace{2cm}
 
 Si $f$ est croissante ou décroissante sur un intervalle, alors on dit que $f$ est monotone.
 
+
+
+\subsection{Extrémums}
+
+\begin{defn}Si $a$ est un réel de l'intervalle $I$, on dit que $f(a)$ est le maximum de $f$ sur $I$ si et seulement si, pour tout réel $x$ de $I$,
+\[
+        f(x) \leq f(a)
+\]
+\end{defn}
+
+
+\subsection{Tableau de variations, tableau de signe}
+
+Dans le tableau de variations, on fait apparaître~:
+\begin{itemize}
+\item les phases de croissance et décroissance,
+\item les extrémums et où ils sont atteints,
+\item occasionnellement, des points particuliers.
+\end{itemize}
+
+Dans le tableau de signe, on fait apparaître les valeurs de $x$ pour lesquelles $f(x)$ est strictement positive, négative, ou nulle.
+
+Exemple~: 
+
+\begin{minipage}{7cm}
+\includegraphics[width=7cm]{graphe_exemple.pdf}
+\end{minipage}
+\begin{minipage}{9cm}
+Tableau de variations~:\\
+\variations
+x & -6 & & -3 & & -1 & & 2 & & 6\\
+f(x) & \h{3} & \d & \b{-2} & \cb & 3 & \ch & \h5 & \d & \b{-1} \\
+\fin
+
+Tableau de signe~:\\
+\variations
+x & -6 & & -4,5 & & -2,25 & & 6 \\
+f(x) & \ga+ & \z & - & \z & \dr+ \\
+\fin
+
+\end{minipage}
+$f$ est croissante sur 
+
 \section{Fonctions de référence}
 
+\subsection{Fonctions affines}
+
+\subsection{Fonction carré et fonctions du second degré}
+
+\subsection{Fonction inverse et fonctions homographiques}
 
 \end{document}
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diff --git a/ESPE/TC_gestionclasse/gestionclasse2 b/ESPE/TC_gestionclasse/gestionclasse2
new file mode 100644 (file)
index 0000000..21374c1
--- /dev/null
@@ -0,0 +1,57 @@
+punition : donnée par le personnel éducatif (n'importe qui, même quand c'est pas notre élève)
+cadre de la classe
+les parents doivent être informés
+
+--> Manquement mineur au règlement.
+
+causes : bavardage, perturbation, travail non fait, boulettes, pas ses affaires...
+
+
+sanction : donnée par le chef d'établissement, + grave
+Faire un rapport !
+Conseil de discipline : mauvais comportement.
+--> incident grave
+
+causes : dégradations, insultes, altercations, menace, vol, quitter le cours...
+mise en danger du cours
+
+
+Essayer d'avoir des sanctions réparatrices
+
+Rapport :
+       - les faits ! Rester factuel !
+       - date, lieu, heure, endroit
+       - nom prénom de l'élève, classe
+       - Objet~: incident blabla
+       - adressé au proviseur ou équivalent.
+Monsieur/Madame,
+Je tiens à porter à votre connaissance les faits suivants, concernant l'élève Blabla, en classe de truc, qui s'est passé le tant à telle heure à tel endroit.
+[...]
+En espérant qu'une sanction adaptée donnera suite à cet incident, je vous prie blablabla
+
+       - témoins : leur faire lire le papier
+--------
+
+Profs : ce n'est pas le règlement intérieur, c'est le droit administratif (fonctionnaire)
+
+Ne pas mélanger le contenu disciplinaire et le comportement
+
+---- 
+Réintégration : boulot du CPE, excuses au prof (dans le couloir par exemple), puis dire qu'on repart à zéro.
+
+---- 
+Nouvelles : peines avec sursis
+essayer de responsabiliser l'élève
+
+
+
+
+--------------------
+parents : accueillir (se lever, serrer la main, présenter)
+jouer le temps (élèves bons -> rapides, élèves en diff -> plus lent)
+
+éviter la présence de l'élève : certaines choses sont réservées aux adultes
+
+Rester pas trop intrusif dans la vie privée de l'élève
+
+Faire un peu parler les parents (de leur enfant)
diff --git a/docvariations.pdf b/docvariations.pdf
new file mode 100644 (file)
index 0000000..6248e43
Binary files /dev/null and b/docvariations.pdf differ