Début du chapitre sur l'utilisation des formules

2018-01-08 10:31:24 +03:00
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--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/E1_distance_arret.pdf
+++ b/3ePasserelles/Nombres_Calculs/Formules_litterales/E1_distance_arret.pdf
--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/E1_distance_arret.tex
+++ b/3ePasserelles/Nombres_Calculs/Formules_litterales/E1_distance_arret.tex
@@ -0,0 +1,79 @@
+\documentclass[a5paper,12pt]{article}
+\usepackage{myXsim}
+
+\title{Distance d'arrêt}
+\date{Janvier 2018}
+\tribe{Troisième}
+
+
+\renewcommand{\lexo}{%
+\setcounter{exo}{0}
+\begin{Exo}
+    \begin{center}
+        {\Large\textbf{Distance d'arrêt}}
+    \end{center}
+    La distance d’arrêt pour un automobiliste est la distance qu'il parcourt entre le moment où il voit un obstacle et le moment où il s’arrête après avoir freiné.  
+    La distance d'arrêt, notée $D$, depend de la vitesse du conducteur $V$ et de son état:
+    \begin{itemize}
+        \item Pour un conducteur lucide: 
+            \[D = V\div 6 + 0,007\times V^2\]
+        \item Pour un conducteur peu lucide: 
+            \[D = V\div 2 + 0,007\times V^2\]
+    \end{itemize}
+    \begin{enumerate}
+        \item Complète le tableau suivant en écrivant les calculs sur ton cahier.
+
+            \hspace{-0.7cm}
+            \begin{tabular}{|m{3.5cm}|*{5}{p{1.3cm}|}}
+                    \hline
+                    Vitesse $V$ en km/h & 50 & 90 & 100 & 110 & 130 \\
+                    \hline
+                    Distance $D$ d'arrêt pour le conducteur lucide & & & & & \\
+                    \hline
+                    Distance $D$ d'arrêt pour le conducteur peu lucide & & & & & \\
+                    \hline
+            \end{tabular}
+        \item Un conducteur roule à 100 km/h. Un obstacle surgit à 100 m de lui. Pourra-t-il s’arrêter à temps ? 
+        \item Un conducteur lucide veut pouvoir s’arrêter en 10 mètres au maximum. Détermine la vitesse qu’il ne doit pas dépasser. 
+    \end{enumerate}
+\end{Exo}
+}
+
+\pagestyle{empty}
+
+\begin{document}
+
+\maketitle
+
+    La distance d’arrêt pour un automobiliste est la distance qu'il parcourt entre le moment où il voit un obstacle et le moment où il s’arrête après avoir freiné.  
+    La distance d'arrêt, notée $D$, depend de la vitesse du conducteur $V$ et de son état:
+    \begin{itemize}
+        \item Pour un conducteur lucide: 
+            \[D = \frac{V}{6} + 0,007\; V^2\]
+        \item Pour un conducteur peu lucide: 
+            \[D = \frac{V}{2} + 0,007\; V^2\]
+    \end{itemize}
+    \begin{enumerate}
+        \item Complète le tableau suivant en écrivant les calculs sur ton cahier.
+
+            \hspace{-1cm}
+            \begin{tabular}{|m{3.5cm}|*{5}{p{1.3cm}|}}
+                    \hline
+                    Vitesse $V$ en km/h & 50 & 90 & 100 & 110 & 130 \\
+                    \hline
+                    Distance $D$ d'arrêt pour le conducteur lucide & & & & & \\
+                    \hline
+                    Distance $D$ d'arrêt pour le conducteur peu lucide & & & & & \\
+                    \hline
+            \end{tabular}
+        \item Un conducteur roule à 100 km/h. Un obstacle surgit à 100 m de lui. Pourra-t-il s’arrêter à temps ? 
+        \item Un conducteur lucide veut pouvoir s’arrêter en 10 mètres au maximum. Détermine la vitesse qu’il ne doit pas dépasser. 
+    \end{enumerate}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/E2_volumes_verres.pdf
+++ b/3ePasserelles/Nombres_Calculs/Formules_litterales/E2_volumes_verres.pdf
--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/E2_volumes_verres.tex
+++ b/3ePasserelles/Nombres_Calculs/Formules_litterales/E2_volumes_verres.tex
@@ -0,0 +1,63 @@
+\documentclass[landscape, a5paper,12pt]{article}
+\usepackage{myXsim}
+
+\title{Réceptions}
+\date{Janvier 2018}
+\tribe{Troisième}
+
+\pagestyle{empty}
+
+\begin{document}
+
+%\maketitle
+
+\noindent
+Lors d'une réception, le serveur doit choisir le verre le plus adapté pour servir 15cL ($=150cm^3$).
+
+Pour cela il doit choisir parmi tous les verres à sa disposition:
+
+\begin{multicols}{3}
+     \includegraphics[scale=0.1]{./fig/V_pave} \textbf{Verres pavé}
+    \begin{itemize}
+        \item $a = 2cm$, $b = 2cm$ et  $c = 5cm$
+        \item $a = 3cm$, $b = 3cm$ et  $c = 2cm$
+    \end{itemize}
+
+    \includegraphics[scale=0.1]{./fig/V_cylindre} \textbf{Verres cylindre }
+    \begin{itemize}
+        \item $h = 3cm$ et $r = 2cm$
+        \item $h = 1cm$ et $r = 4cm$
+        \item $h = 12cm$ et $r = 1cm$
+    \end{itemize}
+
+     \includegraphics[scale=0.1]{./fig/V_cone} \textbf{Verres cône}
+    \begin{itemize}
+        \item $h = 5cm$ et $r = 1cm$
+        \item $h = 1cm$ et $r = 2cm$
+        \item $h = 6cm$ et $r = 1cm$
+    \end{itemize}
+\end{multicols}
+
+Pour vous aider à choisir, voici les formules qui permettent de calculer le volume de ces verres:
+
+
+\begin{multicols}{3}
+     \textbf{Verres pavé}\\
+     \includegraphics[scale=0.4]{./fig/V_pave}  $V = a\times b \times c
+
+    \textbf{Verres cylindre }\\
+    \includegraphics[scale=0.4]{./fig/V_cylindre} $V = \pi \times r^3 \times h$
+
+     \textbf{Verres cône}\\
+     \includegraphics[scale=0.4]{./fig/V_cone} $V = \dfrac{\pi \times r^3 \times h}{3}$
+\end{multicols}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/fig/V_cone.pdf
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--- a/3ePasserelles/Nombres_Calculs/Formules_litterales/index.rst
+++ b/3ePasserelles/Nombres_Calculs/Formules_litterales/index.rst
@@ -0,0 +1,29 @@
+Utilisation de formules avec les 3e passerelles pour l'année 2017-2018
+###########################################################################
+
+:date: 2018-01-08
+:modified: 2018-01-08
+:tags: Calcul littéral, Volumes
+:category: 3e
+:authors: Bertrand Benjamin
+:summary: Évaluation des formules dans divers contextes avec les 3ePasserelles pour l'année 2017-2018.
+
+
+
+Étape 1
+=======
+
+Évaluation de formules pour calculer `distance d'arrêt <./E1_distance_arret.pdf>`_
+
+Cette activité sera ensuite continuée en salle informatique. On reproduira le tableau sur le tableur et on commencera à voir le calcul avec les formules.
+
+Étape 2
+=======
+
+On dispose de plusieurs verres pour servir un cocktail avec plusieurs calculs de volumes, les élèves doivent trouver le verre le plus adapté. 
+
+`Choix d'un verre <./E2_volumes_verres.pdf>`_
+
+Étape 3
+=======
+