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import work from year 2015-2016

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Benjamin Bertrand
2017-06-16 09:48:54 +03:00
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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
% Title Page
\titre{3}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisème}
\date{vendredi 27 novembre 2015}
\duree{1 heure}
%\sujet{}}
% DS DSCorr DM DMCorr Other
\typedoc{DS}
\begin{document}
\maketitle
Le barème est donné à titre indicatif, il pourra être modifié.
\textbf{2 points} sont réservés à la présentation et à la rédaction.
\vfill
\begin{questions}
\question[7]
\begin{parts}
\part Voici un programme de calcul:
\begin{center}
\fbox{\colorbox{base2}{
\begin{minipage}[h]{0.5\textwidth}
\textbf{Programme A} \\
Choisir un nombre.\\
Ajouter 3.\\
Calculer le carré du résultat obtenu.\\
Soustraire le carré du nombre de départ.
\end{minipage}
}}
\end{center}
\begin{subparts}
\subpart Eugénie choisit 4 comme nombre de départ. Vérifier qu'elle obtient 33 comme résultat du programme.
\subpart Elle choisit ensuite -5 comme nombre de départ. Quel résultat obtient-elle ?
\end{subparts}
\part Voici un deuxième programme de calcul:
\begin{center}
\fbox{\colorbox{base2}{
\begin{minipage}[h]{0.5\textwidth}
\textbf{Programme B} \\
Choisir un nombre.\\
Multiplier par 6.\\
Ajouter 9 au résultat obtenu.
\end{minipage}
}}
\end{center}
Clément affirme: \og Si on choisit n'importe quel nombre et qu'on lui applique les deux programmes, on obtient le même résultat. \fg
Prouver que Clément a raison.
\part Quel nombre de départ faut-il choisir pour que le résultat des programmes soit $54$ ?
\end{parts}
\vfill
\question[5]
En météorologie, on appelle "insolation" le nombre d'heures d'exposition d'un site au soleil.
Voici les relevés de la station de Voglans en Savoie donnant des informations sur l'insolation du mois de Juillet de 1990 à 2000
\begin{tabular}{|c|*{11}{c|}}
\hline
Année & 1990 & 1991 & 1992 & 1993 & 1994 & 1995 & 1996 & 1997 & 1998 & 1999 & 2000 \\
\hline
I (en h) & 324 & 325 & 257 & 234 & 285 & 261 & 213 & 226 & 308 & 259 & 206 \\
\hline
\end{tabular}
\begin{parts}
\part Quel est l'effectif total de cette série?
\part Calculer l'étendu de cette série statistique.
\part Calculer la moyenne d'insolation sur cette période (on donnera le résultat arrondi à l'heure près).
\end{parts}
\vfill
\pagebreak
\question[6]
Julien veut mesurer un jeune chêne avec une croix de bûcheron comme le montre le schéma ci-dessous.
\includegraphics[scale=0.3]{./fig/croix_bucheron}
Il place la croix de sorte que 0, D et A d'une part et 0, E et B d'autre part soient alignés.
Il sait que DE = 20 cm et OF = 35 cm. Il place [DE] verticalement et [OF] horizontalement.
Il mesure au sol BC = 7,7 m.
\medskip
\begin{parts}
\part Le triangle ABO est un agrandissement du triangle ODE. Justifier que le coefficient d'agrandissement est 22.
\part Calculer la hauteur de l'arbre en mètres.
\part Certaines croix du bûcheron sont telles que DE = OF.
Quel avantage apporte ce type de croix?
\part Julien enroule une corde autour du tronc de l'arbre à 1,5 m du sol. Il mesure ainsi une circonférence de 138~cm.
Quel est le diamètre de cet arbre à cette hauteur? Donner un arrondi au centimètre près.
\end{parts}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a5paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
% Title Page
\titre{3}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisème}
\date{vendredi 27 novembre 2015}
\duree{1 heure}
%\sujet{}}
% DS DSCorr DM DMCorr Other
\typedoc{DS}
\begin{document}
\vfill
\begin{questions}
\setcounter{question}{2}
\question
Dans les marais salants, le sel récolté est stocké en tas sur une surface plane. On admet que le tas de sel a la forme d'un cône de révolution. La situation peut être modélisée par les deux dessins ci-dessous.
\includegraphics[scale=0.25]{./fig/cone3D.pdf}
\includegraphics[scale=0.25]{./fig/cone_cote.pdf}
\begin{enumerate}
\item Démontrer que la hauteur de ce cône de sel est égale à 2,5 mètres.
\item À l'aide de la formule $V_{cone} = \frac{\pi \times rayon^2 \times hauteur}{3}$, determiner, en $m^3$, le volume de sel contenu dans le cône. Arrondir le résultat au $m^3$ près.
\end{enumerate}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur le DS_15_11_27 pour les 3e
####################################
:date: 2015-11-27
:modified: 2015-11-27
:tags: Programme de calculs, Statistiques, Géométrie, DS
:category: 3e
:authors: Bertrand Benjamin
:summary: Devoir donné aux 3e.
<++ contenu ++>

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\documentclass[a5paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
% Title Page
\titre{Devoir surveillé 3 - Bilan}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Décembre 2015}
\geometry{left=15mm,right=15mm, bottom= 15mm, top=15mm}
\begin{document}
\maketitle
\LARGE Nom - Prénom \hfill / 20
\normalsize
\vfill
\begin{tabular}{|c|c|p{2cm}|p{2cm}|}
\hline
\rowcolor{base1}
Exercice/Question & Barème & Prévision & Note \\
\hline
\rowcolor{highlightbg}
Présentation & 2 & & \\
\hline
\rowcolor{highlightbg}
Exercice 1 & 7 & & \\
\hline
1.a (appliquer programme)& 1,5&& \\
\hline
1.b (appliquer programme)& 1,5&& \\
\hline
2 (même programme) &2&&\\
\hline
3 (renverser pgm) &2&&\\
\hline
\rowcolor{highlightbg}
Exercice 2 & 5&&\\
\hline
1 (Effectif total) &1,5&&\\
\hline
2 (Étendu) &1,5&&\\
\hline
3 (Moyenne) &2&&\\
\hline
\rowcolor{highlightbg}
Exercice 3 &6&&\\
\hline
1 (hypothèses) &1&&\\
\hline
1 (Longueurs) &1&&\\
\hline
1 (Thalès – calculs) &2&&\\
\hline
2 (Volume du cône) &2&&\\
\hline
\end{tabular}
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%%% Local Variables:
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%%% End:

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