import work from year 2016-2017
This commit is contained in:
Benjamin Bertrand
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3e/Fonctions/Fonctions_affines/comparaison_tarifs.pdf
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3e/Fonctions/Fonctions_affines/comparaison_tarifs.pdf
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3e/Fonctions/Fonctions_affines/comparaison_tarifs.tex
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3e/Fonctions/Fonctions_affines/comparaison_tarifs.tex
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\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
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% Title Page
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\titre{Fonction affines- Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième }
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\date{Mars 2017}
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\pagestyle{empty}
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\renewcommand{\lexo}{%
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\setcounter{exo}{1}
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\begin{Exo}[Piscine]
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Brahim décide d'aller régulièrement à la piscine pendant un an. Voici les tarifs proposés:
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\begin{itemize}
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\item Tarif "Abonné": 100\euro par an, nombre illimité d'entrées.
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\item Tarif "Adhérant": 40\euro d'adhésion par an puis 1\euro par entrée.
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\item Tarif "Libre": 2\euro par entrée.
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\end{itemize}
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\begin{enumerate}
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\item Quel prix paiera-t-il avec \textbf{chaque tarif}, s'il va à la piscine 20 fois en un an?
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\item Même question, mais s'il y va 7 fois par mois pendant un an.
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\item Expliquer pour chaque tarif, comment exprimer le prix en fonction du nombre d'entrée.
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\item Reproduire le tableau ci dessous sur le tableur (on ira jusqu'à 100 entrées)
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\includegraphics[scale=0.4]{./fig/tableur_tarif_exo}
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\item Que doit-on entrer dans les cases \texttt{B2}, \texttt{C2} et \texttt{D2} puis tirer vers le bas pour calculer le prix pour chaque tarif?
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\item Tracer le graphique pour tous ces prix.
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\item À partir des graphiques, décrire quand il est intéressant de choisir le tarif 'Adhérent'.
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\end{enumerate}
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\end{Exo}
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}
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\begin{document}
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\lexo
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\lexo
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\vfill
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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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3e/Fonctions/Fonctions_affines/exo_duree.pdf
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3e/Fonctions/Fonctions_affines/exo_duree.pdf
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3e/Fonctions/Fonctions_affines/exo_duree.tex
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3e/Fonctions/Fonctions_affines/exo_duree.tex
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\documentclass[a5paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
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% Title Page
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\titre{Fonction affines - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième }
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\date{Mars 2017}
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\pagestyle{empty}
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\renewcommand{\lexo}{%
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\setcounter{exo}{1}
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\begin{Exo}[Abonnement téléphonique]
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Abdou se rend chez un opérateur téléphonique pour choisir un abonnement. On lui propose 3 forfaits:
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\begin{itemize}
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\item Forfait \textbf{Liberté}: 36\euro par mois, textos illimités.
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\item Forfait \textbf{Zen}: 20\euro par mois, 5 centimes par textos.
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\item Forfait \textbf{Proche}: 20 centimes par textos
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\end{itemize}
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\begin{enumerate}
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\item Abdou estime qu'il envoie 150 textos par mois. Quel forfait doit-il choisir?
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\item Une copine, Roubouanti, envoie en moyenne 300 textos par mois et a choisi le forfait \textbf{Liberté}. A-t-elle fait le bon choix?
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\item Trouver les fonctions qui transforment le nombre de textos en prix pour les 3 forfaits.
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\item Abdou souhaite en savoir plus. Il se demande à partir de combien de textos envoyé, il est plus intéréssant de choisir le forfait \textbf{Liberté}. Aidez le à répondre à sa question.
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\end{enumerate}
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\end{Exo}
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\begin{Exo}[Un peu de géométrie]
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On veut comparer l'aire des deux figures ci-dessous en faisant varierla valeur de $x$.
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\hspace{-1cm}
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\includegraphics[scale=0.5]{./fig/rect_trapeze}
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\begin{enumerate}
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\item Quelle figure à la plus grande surface quand $x$ vaut 4?
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\item Quelle figure à la plus grande surface quand $x$ vaut 1?
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\item Pour chaque figure, proposer une fonction permettant de tranformer x en l'aire.
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\item Proposer à l'aide du tableur, une façon de savoir à partir de quel valeur de $x$ la première figure a une plus grande aire que la deuxième.
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\end{enumerate}
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\end{Exo}
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\begin{Exo}[Salaires]
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Jean, Faïza et Bob fabriquent tous les 3 des jouets mais ne sont pas payé de la même façons.
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\begin{itemize}
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\item Jean a un salaire fixe de 1500\euro par mois.
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\item Faïza a un salaire de 1000\euro augmenté d'une prime de 4\euro par jouet qu'il a frabriqué.
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\item Bob a un salaire de 500\euro mais a une prime de 7\euro par jouet.
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\end{itemize}
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Qui est le mieux payé des 3?
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\end{Exo}
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}
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\begin{document}
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\lexo
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\vfill
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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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3e/Fonctions/Fonctions_affines/exo_duree_a4.pdf
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3e/Fonctions/Fonctions_affines/fig/fil_fer_long_prix.pdf
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3e/Fonctions/Fonctions_affines/fil_fer_poids_prix.ods
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3e/Fonctions/Fonctions_affines/fil_fer_poids_prix.ods
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47
3e/Fonctions/Fonctions_affines/index.rst
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47
3e/Fonctions/Fonctions_affines/index.rst
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|
||||
Notes autour du chapitre sur les fonctions affines pour les 3e
|
||||
##############################################################
|
||||
|
||||
:date: 2017-03-14
|
||||
:modified: 2017-03-14
|
||||
:tags: Fonctions
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Notes sur le chapitre autour des fonctions affines pour les 3e.
|
||||
|
||||
Le chapitre sur les fonctions linéaires n'était pas bien passé à cause d'un gros soucis de sens des opérations.
|
||||
|
||||
On va continuer à travailler dans ce sens, avec beaucoup de modélisation. Tant pis si l'aspect formel des fonctions n'est pas trop travaillé. Il faudra le reprendre à la dernière période.
|
||||
|
||||
Étape 1
|
||||
--------
|
||||
|
||||
Retour sur la notion de fonction linéaire en créant des formules à partir d'un tableau ou d'un graphique.
|
||||
|
||||
`Longueur, poids et prix d'un fil de fer <./tbl_graph_vers_fonction_lin.pdf>`_
|
||||
|
||||
On fera ressortir le vocabulaire de proportionnalité, de fonction linéaire et de représentation graphique.
|
||||
|
||||
Étape 2
|
||||
--------
|
||||
|
||||
On introduit la notion de fonction affine à côté de la fonction linéaire.
|
||||
|
||||
`Tarifs d'une piscine <./comparaison_tarifs.pdf>`_
|
||||
|
||||
On donne la définition de fonction affine, sa représentation graphique.
|
||||
|
||||
Étape 3
|
||||
-------
|
||||
|
||||
Activité similaire à l'étape 1 mais on mélange des fonctions affines et linaires.
|
||||
|
||||
Étape 4
|
||||
-------
|
||||
|
||||
(étape peut être à reporter à la prochaine période) Manipulation théorique de fonction linéaire et affine.
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_affines/rep_tbl_prop_long_poids.pdf
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3e/Fonctions/Fonctions_affines/rep_tbl_prop_long_poids.pdf
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3e/Fonctions/Fonctions_affines/rep_tbl_prop_long_prix_312.pdf
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3e/Fonctions/Fonctions_affines/rep_tbl_prop_long_prix_312.pdf
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3e/Fonctions/Fonctions_affines/tarif_piscine_graph.pdf
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3e/Fonctions/Fonctions_affines/tarif_piscine_graph.pdf
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3e/Fonctions/Fonctions_affines/tarif_piscine_graph.svg
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3e/Fonctions/Fonctions_affines/tarif_piscine_graph_proj.pdf
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3e/Fonctions/Fonctions_affines/tarif_piscine_graph_proj.pdf
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3e/Fonctions/Fonctions_affines/tbl_graph_vers_fonction_lin.pdf
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|
||||
\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Tableau et graphique vers une formule- Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième }
|
||||
\date{Mars 2017}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
|
||||
\renewcommand{\lexo}{%
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\begin{Exo}[Longueur, poids et prix]
|
||||
Ci-dessous, un tableau reliant la longueur et le poids d'un fil de fer et un graphique reliant la longueur et le prix du même fil de fer.
|
||||
|
||||
\hspace{-1cm}
|
||||
\begin{minipage}{0.45\textwidth}
|
||||
\begin{tabular}{|p{3cm}|*{3}{p{1cm}|}}
|
||||
\hline
|
||||
Longueur (en m) & 50 & 100 & 200 \\
|
||||
\hline
|
||||
Poids (en kg) & 0,7 & 1,4 & 2,8 \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{minipage}
|
||||
\begin{minipage}{0.6\textwidth}
|
||||
\includegraphics[scale=0.7]{./fig/fil_fer_long_prix}
|
||||
\end{minipage}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Combien pèse 62m de ce fil de fer? 284m? Expliquer comment transformer n'importe quel longueur de fil de fer en son poids.
|
||||
\item Trouver une formule qui donne le poids de fil de fer en fonction de la longueur.
|
||||
\item Combien coûte 75m de fil de fer? 300m? Expliquer comment vous avez fait.
|
||||
\item Peut-on écrire une formule qui donne le prix en fonction de la longueur de fil de fer?
|
||||
\item (dure) Peut-on exprimer (trouver une formule) le prix de fil de fer en fonction de son poids?
|
||||
\end{enumerate}
|
||||
|
||||
\end{Exo}
|
||||
|
||||
}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\lexo
|
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\vfill
|
||||
|
||||
\lexo
|
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\vfill
|
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|
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|
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\end{document}
|
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|
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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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|
||||
BIN
3e/Fonctions/Fonctions_lineaires/cigarettes.pdf
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BIN
3e/Fonctions/Fonctions_lineaires/cigarettes.pdf
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59
3e/Fonctions/Fonctions_lineaires/cigarettes.tex
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59
3e/Fonctions/Fonctions_lineaires/cigarettes.tex
Normal file
@@ -0,0 +1,59 @@
|
||||
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Novembre 2016}
|
||||
|
||||
|
||||
\newcommand{\lexo}{%
|
||||
\begin{Exo}[Tabac info service]
|
||||
D'après le site \textit{www.tabac-info-service.fr}:
|
||||
\begin{center}
|
||||
\Ovalbox{
|
||||
\begin{minipage}{0.8\textwidth}
|
||||
Les jeunes de 12 à 25 ans qui fument régulièrement consomment en moyenne 10 cigarettes par jour.
|
||||
\end{minipage}
|
||||
}
|
||||
\end{center}
|
||||
\begin{enumerate}
|
||||
\item Jean a commencé à fumer à 14ans. Combien de cigarettes aura-t-il fumer à 16ans? Et à 25ans?
|
||||
\item Déterminer la fonction qui relie le nombre de jour depuis que Jean a commencé à fumer avec le nombre de cigarettes qu'il a consommé.
|
||||
\item Le prix moyen d'une cigarette est de 0,325\euro en 2016. Combien aura-t-il dépensé à 16ans? Et à 25ans?
|
||||
\item Déterminer la fonction qui relie le nombre de jour depuis que Jean a commencé à fumer avec la somme dépensée dans les cigarettes.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
}
|
||||
|
||||
\geometry{left=15mm,right=15mm, bottom= 15mm, top=15mm}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
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|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
||||
|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
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|
||||
\lexo
|
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|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.pdf
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3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.pdf
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31
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.tex
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31
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.tex
Normal file
@@ -0,0 +1,31 @@
|
||||
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Novembre 2016}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
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\vfill
|
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|
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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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|
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BIN
3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix.png
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3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix.png
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|
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3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix_corr.png
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|
After Width: | Height: | Size: 66 KiB |
39
3e/Fonctions/Fonctions_lineaires/index.rst
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39
3e/Fonctions/Fonctions_lineaires/index.rst
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@@ -0,0 +1,39 @@
|
||||
:otes autour du chapitre sur les fonctions linéaires pour les 3e
|
||||
###################################################################
|
||||
|
||||
:date: 2016-08-11
|
||||
:modified: 2016-08-11
|
||||
:tags: Geometrie, Thales, Agrandissement
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Notes sur le chapitre sur pour les 3e
|
||||
|
||||
Séance 1
|
||||
--------
|
||||
|
||||
Exercice de proportionnalité sur le `prix de la viande <./proportionnalite.pdf>`_
|
||||
|
||||
Cahier de bord: Notation de fonction, définition d'une fonction linéaire et lien avec la proportionnalité
|
||||
|
||||
Séance 2
|
||||
--------
|
||||
|
||||
Construction des tableaux de valeurs et des graphiques correspondant aux deux fonction grâce au tableur (`tracer fonctions au tableur <./tracer_fct_tbleur.pdf>`_
|
||||
|
||||
Cahier de bord: Commentaires sur la forme des représentations graphiques.
|
||||
|
||||
Séance 3
|
||||
--------
|
||||
|
||||
Exercice sur `la consommation de cigarette <./cigarettes.pdf>`_ et les fonctions.
|
||||
|
||||
Séance 4
|
||||
--------
|
||||
|
||||
Tableur: tableau de valeur et graphique pour deux fonctions linéaires (a > 0 et a < 0).
|
||||
|
||||
Note sur la cahier de bord autour de la pente et du coefficient.
|
||||
|
||||
|
||||
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/prix_tableur.ods
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/prix_tableur.ods
Normal file
Binary file not shown.
BIN
3e/Fonctions/Fonctions_lineaires/proportionnalite.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/proportionnalite.pdf
Normal file
Binary file not shown.
104
3e/Fonctions/Fonctions_lineaires/proportionnalite.tex
Normal file
104
3e/Fonctions/Fonctions_lineaires/proportionnalite.tex
Normal file
@@ -0,0 +1,104 @@
|
||||
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Novembre 2016}
|
||||
|
||||
|
||||
\newcommand{\exoViande}{%
|
||||
\begin{Exo}[Prix de la viande]
|
||||
Chez le boucher, on peut voir les deux prix suivants:
|
||||
|
||||
\Ovalbox{
|
||||
\begin{minipage}{0.25\textwidth}
|
||||
\begin{center}
|
||||
\icon{chicken-leg} Poulet: \\ 300g de viande pour 5,7\euro.
|
||||
\end{center}
|
||||
\end{minipage}
|
||||
}\hspace{1cm}
|
||||
\Ovalbox{
|
||||
\begin{minipage}{0.25\textwidth}
|
||||
\begin{center}
|
||||
\icon{meat} Boeuf: \\ 1,3kg de viande pour 23,4\euro.
|
||||
\end{center}
|
||||
\end{minipage}
|
||||
}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Je veux acheter 500g de viande. Quel est le prix le plus intéressant?
|
||||
\item Je veux acheter 5kg de viande. Quel est le prix le plus intéressant?
|
||||
\item De manière générale, si je veux dépenser le moins possible, quelle viande dois-je choisir?
|
||||
\item Comment connaître le prix de n'importe quel poids de viande de poulet? Et de viande de boeuf?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
}
|
||||
|
||||
\newcommand{\exoEchelle}{%
|
||||
\begin{Exo}[Cartes]
|
||||
On a deux cartes en main.
|
||||
|
||||
\Ovalbox{
|
||||
\begin{minipage}{0.05\textwidth}
|
||||
\icon{treasure-map}
|
||||
\end{minipage}
|
||||
\begin{minipage}{0.25\textwidth}
|
||||
\begin{center}
|
||||
Carte 1: une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\end{center}
|
||||
\end{minipage}
|
||||
}\hspace{1cm}
|
||||
\Ovalbox{
|
||||
\begin{minipage}{0.05\textwidth}
|
||||
\begin{center}
|
||||
\icon{treasure-map}
|
||||
\end{center}
|
||||
\end{minipage}
|
||||
\begin{minipage}{0.3\textwidth}
|
||||
\begin{center}
|
||||
Carte 2: un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{center}
|
||||
\end{minipage}
|
||||
}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item Comment connaître la taille sur la carte 1 de n'importe quel objet réel? Et pour la carte 2?
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\exoViande
|
||||
|
||||
\exoEchelle
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
||||
|
||||
\exoViande
|
||||
|
||||
\exoEchelle
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
||||
|
||||
\exoViande
|
||||
|
||||
\exoEchelle
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.pdf
Normal file
Binary file not shown.
57
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.tex
Normal file
57
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.tex
Normal file
@@ -0,0 +1,57 @@
|
||||
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Novembre 2016}
|
||||
|
||||
\newcommand{\lexo}{%
|
||||
\begin{Exo}[Prix de la viande: tableur]
|
||||
Dans cette activité, nous allons tracer le graphique correspondant aux formules trouvées dans l'exercice sur le prix de la viande.
|
||||
\begin{enumerate}
|
||||
\item Reproduire puis completer le tableau suivant en allant jusqu'à 3kg de viande.
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix}
|
||||
\end{center}
|
||||
|
||||
\item Quelle formule avez vous tapé dans la cellule \texttt{B2} puis recopié vers le bas? Même question pour la cellule \texttt{C2}.
|
||||
\item Tracer le graphique correspondant à ce tableau.
|
||||
\item Que peut-on dire de ce graphique?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
\setcounter{exo}{2}
|
||||
|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\vfill
|
||||
|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\pagebreak
|
||||
|
||||
\lexo
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\vfill
|
||||
|
||||
\lexo
|
||||
\pagebreak
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Generalite_fonctions/3rep_fonction.pdf
Normal file
BIN
3e/Fonctions/Generalite_fonctions/3rep_fonction.pdf
Normal file
Binary file not shown.
50
3e/Fonctions/Generalite_fonctions/3rep_fonction.tex
Normal file
50
3e/Fonctions/Generalite_fonctions/3rep_fonction.tex
Normal file
@@ -0,0 +1,50 @@
|
||||
\documentclass[a5paper,12pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Généralités sur les fonctions - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Juin 2017}
|
||||
|
||||
\newcommand{\lexo}{%
|
||||
\setcounter{exo}{0}
|
||||
\begin{Exo}[3 représentations de fonctions]
|
||||
Voici 3 fonctions $f$, $g$ et $h$. Ces 3 fonctions sont représentées sous 3 formes différentes qu'il va falloir apprendre à maitriser.
|
||||
\begin{itemize}
|
||||
\item La fonction $f$ sous forme \parbox[b]{0.4\textwidth}{\dotfill}
|
||||
|
||||
\hspace{-1cm}
|
||||
\includegraphics[scale=0.6]{./fig/fct_tbl_val}
|
||||
|
||||
\item La fonction $g$ sous forme \parbox[b]{0.4\textwidth}{\dotfill}
|
||||
|
||||
\hspace{-1.5cm}
|
||||
\includegraphics[scale=0.8]{./fig/fct_graph}
|
||||
|
||||
\item La fonction $h$ sous forme \parbox[b]{0.4\textwidth}{\dotfill}
|
||||
\begin{eqnarray*}
|
||||
h(x) & = & 5x - 4
|
||||
\end{eqnarray*}
|
||||
|
||||
\end{itemize}
|
||||
|
||||
Pour cette exercice, les questions seront écrites au tableau.
|
||||
|
||||
\end{Exo}
|
||||
|
||||
}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
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|
||||
\lexo
|
||||
|
||||
\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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||||
|
||||
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3e/Fonctions/Generalite_fonctions/3rep_fonction_a4.pdf
Normal file
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3e/Fonctions/Generalite_fonctions/3rep_fonction_a4.pdf
Normal file
Binary file not shown.
896
3e/Fonctions/Generalite_fonctions/bilan_tracer_tblr.svg
Normal file
896
3e/Fonctions/Generalite_fonctions/bilan_tracer_tblr.svg
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3e/Fonctions/Generalite_fonctions/fig/proto_tableur.png
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34
3e/Fonctions/Generalite_fonctions/index.rst
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3e/Fonctions/Generalite_fonctions/index.rst
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|
||||
Notes autour du chapitre sur des généralités sur les fonctions pour les 3e
|
||||
##########################################################################
|
||||
|
||||
:date: 2017-05-30
|
||||
:modified: 2017-05-30
|
||||
:tags: Fonctions
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Dernier chapitre sur les fonctions pour les 3e
|
||||
|
||||
Étape 1
|
||||
--------
|
||||
|
||||
On décorrelle la notion de fonction des cas pratiques auxquels elles étaient attachées. On accentue aussi le liens entre les 3 façon de représenter les fonctions: formule, tableau de valeur et graphique.
|
||||
|
||||
Cette séance se passe avec le tableur et on trace les graphiques de 3 fonctions (linéaire, affine et de type inconnu).
|
||||
|
||||
`Tracer des fonctions au tableur <./tracer_fct_tbleur.pdf>`_
|
||||
|
||||
Étape 2
|
||||
--------
|
||||
|
||||
`Bilan de l'étape précédente <./bilan_tracer_tblr_pres.pdf>`_: on rappelle comment on calcule avec une fonction et on donne la définition de l'image.
|
||||
|
||||
Séance 3
|
||||
--------
|
||||
|
||||
Séance 4
|
||||
--------
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
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3e/Fonctions/Generalite_fonctions/tracer_fct_tbleur.pdf
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49
3e/Fonctions/Generalite_fonctions/tracer_fct_tbleur.tex
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3e/Fonctions/Generalite_fonctions/tracer_fct_tbleur.tex
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|
||||
\documentclass[a5paper,12pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
|
||||
|
||||
% Title Page
|
||||
\titre{Généralités sur les fonctions - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Mai 2017}
|
||||
|
||||
\newcommand{\lexo}{%
|
||||
\setcounter{exo}{0}
|
||||
\begin{Exo}[Étude de fonctions]
|
||||
On veut étudier les 3 fonctions suivantes:
|
||||
\begin{eqnarray*}
|
||||
f(x) = 6x & g(x) = 3x^2-9x - 7 & h(x) = 5x - 7
|
||||
\end{eqnarray*}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Préparer, avec le tableur, le tableau de valeur des 3 fonctions sur le modèle suivant (on fera varier $x$ de -5 à 5)
|
||||
|
||||
\hspace{-1cm}
|
||||
\includegraphics[scale=0.25]{./fig/proto_tableur}
|
||||
\item Tracer les graphiques de ces 3 fonctions.
|
||||
\item Reconnaître le type de ces fonctions.
|
||||
\item Décrire les valeurs de $x$ où les valeurs de la fonction $g$ sont au dessus des valeurs de $f$.
|
||||
\end{enumerate}
|
||||
|
||||
\end{Exo}
|
||||
|
||||
}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\lexo
|
||||
|
||||
\vfill
|
||||
|
||||
\lexo
|
||||
|
||||
\vfill
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
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%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Generalite_fonctions/tracer_fct_tbleur_a4.pdf
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Reference in New Issue
Block a user