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Import work from year 2014-2015

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Benjamin Bertrand
2017-06-16 09:48:07 +03:00
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#!/usr/bin/env python
# encoding: utf-8
import jinja2, os
# Definition of jinja syntax for latex
texenv = jinja2.Environment(
block_start_string = '\Block{',
# Gros WTF!! Si on le met en maj ça ne marche pas alors que c'est en maj dans le template...
block_end_string = '}',
variable_start_string = '\Var{',
variable_end_string = '}',
loader = jinja2.FileSystemLoader(os.path.abspath('.')),
extensions = ['jinja2.ext.do']
)
# Filters
if __name__ == '__main__':
from pymath.expression import Expression
exp = Expression("2/4 + 18")
print(do_calculus(exp.simplify()))
# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
# cursor: 16 del

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\documentclass{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/tools/style/classBilan}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/2014_2015}
\usepackage{multicol}
% Title Page
\titre{DS 7}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\seconde}
\date{13 avril 2015}
\begin{document}
\Block{for (name, notes) in eleves.iterrows()}
\maketitle
\begin{minipage}{0.5\linewidth}
\large
\Var{name}
\end{minipage}
\begin{minipage}{0.3\linewidth}
\begin{flushright}
\Large \Var{notes[ds_name]} / \Var{barem.DS_0413[0]}
\end{flushright}
\end{minipage}
\vfill
\fbox{%
\begin{minipage}{0.9\linewidth}
\hfill
\vspace{3cm}
\end{minipage}
}
\vfill
\scriptsize
\begin{multicols}{2}
\begin{tabular}{|p{3cm}|c|c|}
\hline
\rowcolor{highlightbg} Exercices & Réussite & Barème \\
\hline
\Block{for question in barem.T[1:11].T}
\Var{question} & \Var{notes[question]} & \Var{barem[question][0]} \\
\hline
\Block{endfor}
\end{tabular}
\begin{tabular}{|p{3cm}|c|c|}
\hline
\rowcolor{highlightbg} Exercices & Réussite & Barème \\
\hline
\Block{for question in barem.T[11:].T}
\Var{question} & \Var{notes[question]} & \Var{barem[question][0]} \\
\hline
\Block{endfor}
\end{tabular}
\end{multicols}
%\begin{tabular}{|p{2cm}|p{2cm}|p{2cm}|p{2cm}|p{2cm}|}
% \hline
% Pas de réponse & Faux & Peu juste & Partiellement juste & Juste \\
% \hline
% \NoRep & \RepZ & \RepU & \RepD & \RepT \\
% \hline
%\end{tabular}
\normalsize
\pagebreak
\Block{endfor}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/2014_2015}
% Title Page
\titre{7}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\premiereS}
\date{13 avril 2015}
\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Corr
\typedoc{DS}
\begin{document}
\maketitle
Le barème est donné à titre indicatif, il pourra être modifié.
\begin{center}
\Large Calculatrice interdite
\end{center}
\normalsize
\begin{questions}
\question[9]
% Suites
À la suite d'un héritage, Maëlis dispose d'une somme de 65 000\euro qu'elle désire faire fructifier. La banque lui propose deux placements:
\begin{itemize}
\item \textbf{Placement A (intérêts simples):} le capital (la quantité d'argent disponible sur le compte) augmente de chaque année de 3500\euro.
\item \textbf{Placement B (intérêts composés):} le capital augmente de chaque année de 4,5\% du capital de l'année précédente.
\end{itemize}
On note $\left( u_n \right)$ la capital acquis à la fin de la n-ième année avec le placement A et $\left( v_n \right)$ le capital acquis à la fin de la n-ième année avec le placement B.
\begin{parts}
%1pt
\part Calculer $u_1$ et $u_2$.
\part
\begin{subparts}
% 2
\subpart Quelle est la nature de la suite$\left( u_n \right)$ (vous préciserez le premier terme et la raison)? Donner la relation explicite de $\left( u_n \right)$.
% 2
\subpart Quelle est la nature de la suite$\left( v_n \right)$ (vous préciserez le premier terme et la raison)? Donner la relation explicite de $\left( v_n \right)$.
\end{subparts}
%2
\part Combien faudra-t-il d'année pour que le capital dépasse 101 000\euro avec la formule A?
%2
\part Écrire un algorithme prenant une valeur de $n$ en argument qui renvoie la valeur de $v_n$. Vous n'êtes pas autorisé à utiliser la formule explicite de la suite $\left( v_n \right)$.
\end{parts}
\question[11]
%Produit scalaire.
Dans cet exercice, toutes les questions sont indépendantes.
\begin{parts}
%1pt
\part Recopier puis compléter le tableau des valeurs de cosinus
\begin{center}
\begin{tabular}{|c|*{5}{p{2cm}|}}
\hline
Angle $\alpha$ & 0 & $\frac{\pi}{6}$ & $\frac{\pi}{4}$ & $\frac{\pi}{3}$ & $\frac{\pi}{2}$ \\
\hline
$\cos(\alpha)$ & & & & & \\
\hline
\end{tabular}
\end{center}
\part Soit $A$, $B$ et $C$ trois points du plan comme sur le dessin ci-dessous \textit{(attention le dessin ne respecte pas les longueurs et les angles)}.
\begin{multicols}{2}
\includegraphics[scale=0.4]{./fig/triangle}
\columnbreak
\begin{subparts}
% 1,5
\subpart Calculer $\vec{AC} . \vec{AB}$
% 1,5
\subpart On donne $\vec{BA} . \vec{BC} = 3\sqrt{3}$, en utilisant ce produit scalaire, calculer l'angle $(\vec{BA};\vec{BC})$.
\end{subparts}
\end{multicols}
\part On donne $||\vec{u}|| = 2$, $||\vec{v}|| = 3$ et $\vec{u}.\vec{v} = -5$. Calculer les quantités suivantes
\begin{multicols}{2}
\begin{subparts}
%1,5
\subpart $A = \vec{u} . \left( \vec{v} - 2 \vec{u} \right)$
%1,5
\subpart $B = ||\vec{u} - \vec{v}||$
\end{subparts}
\end{multicols}
\part Soit $ACDE$ un rectangle et $ABCL$ un carré. D'après la figure suivante \textit{(seul le codage de la figure et ce qui est dans l'énoncé a une valeur de vérité, toutes autres informations devra être non présente sur la figure devra être justifiée)} trouver le projeté orthogonal des éléments suivants
\begin{multicols}{2}
\includegraphics[scale=0.4]{./fig/proj}
\columnbreak
\begin{subparts}
%1
\subpart $A$ sur le droite $\left( CL \right)$
%1.5
\subpart $\vec{CL}$ sur la droite $\left( ED \right)$
%1.5
\subpart $\vec{AK}$ sur $\left( BH \right)$
\end{subparts}
\vfill
\end{multicols}
\end{parts}
\question[2]
\begin{center}
\textbf{Bonus}
\end{center}
Calculer le nombre suivant en detaillant les calculs.
\begin{align*}
A = \frac{659330}{7}
\end{align*}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur DS_0413
#################
:date: 2015-07-01
:modified: 2015-07-01
:tags: DS, Suites, Angles, Produit Scalaire
:category: 1S
:authors: Benjamin Bertrand
:summary: Devoir sur les suites et le produit scalaire pour les 1S. Sans calculatrice!
`Lien vers DS_0413.pdf <DS_0413.pdf>`_
`Lien vers DS_0413.tex <DS_0413.tex>`_
`Lien vers fig/triangle.pdf <fig/triangle.pdf>`_
`Lien vers fig/proj.pdf <fig/proj.pdf>`_
Devoir à faire sans calculatrice.