Import work from year 2013-2014
This commit is contained in:
Benjamin Bertrand
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3e/DS/DS_140213/02_geo_devfact.pdf
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3e/DS/DS_140213/02_geo_devfact.pdf
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3e/DS/DS_140213/02_geo_devfact.tex
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3e/DS/DS_140213/02_geo_devfact.tex
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\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
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% Title Page
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\titre{6}
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% \quatreC \quatreD \troisB \troisPro
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\classe{\troisB}
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\date{13 février 2014}
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\duree{1 heure}
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%\sujet{%{{infos.subj%}}}
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% DS DSCorr DM DMCorr Corr
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\typedoc{DS}
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\begin{document}
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\maketitle
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Le barème est donné à titre indicatif, il pourra être modifié. Des points sont réservés à la propreté de la copie et à la précision des notations.
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\begin{questions}
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\question[4]
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Relier les expressions de gauche à celle qui leurs est égales à droite. Certaines expressions de droite peuvent être reliée à aucune expression de gauche.
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\begin{minipage}[c]{0.4\textwidth}
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\flushright
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$x^2 + 12x + 4 \qquad \bullet$ \\[0.5cm]
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$36x^2 - 60x + 25 \qquad \bullet$ \\[0.5cm]
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$9x^2 + 6x + 1 \qquad \bullet$ \\[0.5cm]
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$(2x+1)(3x-1) + (3x-1)(x-2) \qquad \bullet$
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\end{minipage}
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\hspace{1cm}
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\begin{minipage}[c]{0.4\textwidth}
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\begin{itemize}
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\item $(3x + 2)^2$
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\item $(6x - 5)^2$
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\item $(3x + 1)^2$
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\item $(3x - 1)^2$
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\item $(9x + 4)^2$
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\item $(3x - 2)^2$
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\item $(6x + 5)^2$
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\end{itemize}
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\end{minipage}
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\vfill
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\question[4\half]
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\begin{parts}
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\part Développer l'expression puis réduire
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\begin{eqnarray*}
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A = (x+1)(2x+1) + (3x - 1)^2
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\end{eqnarray*}
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\part Factoriser l'expression suivante
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\begin{eqnarray*}
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B = ( -2 x + 8 ) \times ( -5 x - 2 ) + ( -2 x + 8 ) \times (-1 x + 4 ) \\
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\end{eqnarray*}
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\part Factoriser l'expression suivante en utilisant une identité remarquable.
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\begin{eqnarray*}
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C = 100 x ^ 2 + 80 x + 16
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\end{eqnarray*}
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\end{parts}
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\vfill
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\question[5]
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% Sujet Nouvelle Calédonie Mars 2009
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\textit{La figure qui suit n'est pas en vraie grandeur. il n'est pas demandé de la repoduire. L'unité est le centimètre.}
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Le point $B$ appartient au segment $[DE]$ et le point $A$ au segment $[CE]$. On donne
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\begin{eqnarray*}
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ED = 9 \hspace{1cm} EB = 5,4 \hspace{1cm} EC = 12 \hspace{1cm} EA = 7,2 \hspace{1cm} CD = 15
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\end{eqnarray*}
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\begin{center}
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\includegraphics[scale=0.2]{./fig/exo3}
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\end{center}
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\begin{parts}
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\part Montrer que les droites $(AB)$ et $(CD)$ sont parallèles.
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\part Calculer la longueur du segment $[AB]$.
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\part Montrer que les droites $(CE)$ et $(DE)$ sont perpendiculaires.
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\end{parts}
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\clearpage
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\question[5]
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Un propriétaire souhaite ménager le grenier de sa ferme. Voici le croquis puis le schéma de son grenier.
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\begin{center}
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\includegraphics[scale=0.2]{./fig/croquisGre}
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\hspace{2cm}
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\includegraphics[scale=0.2]{./fig/schemaGre}
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\end{center}
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Ce propriétaire mesurant 1,75m souhaite savoir s'il peut rester debout sans se cogner la tête sur une des poutres représentée par le segment $[KM]$. $I$ est le milieu du segment $[BC]$.
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\begin{parts}
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||||
\part Calculer la longueur du segment $[AI]$.On donnera une valeur approchée par défaut au centimètre près.
|
||||
\part Calculer la longueur du segment $[AJ]$.On donnera une valeur approchée par excès au centimètre près.
|
||||
\part Le propriétaire peut-il se tenir debout sans se cogner la tête?
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||||
\end{parts}
|
||||
|
||||
\end{questions}
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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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BIN
3e/DS/DS_140213/02_geo_devfact_1.pdf
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BIN
3e/DS/DS_140213/02_geo_devfact_1.pdf
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Binary file not shown.
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3e/DS/DS_140213/02_geo_devfact_1.tex
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3e/DS/DS_140213/02_geo_devfact_1.tex
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\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
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% Title Page
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||||
\titre{6}
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||||
% \quatreC \quatreD \troisB \troisPro
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||||
\classe{\troisB}
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||||
\date{13 février 2014}
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\duree{1 heure}
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\sujet{1}
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% DS DSCorr DM DMCorr Corr
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||||
\typedoc{DS}
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||||
|
||||
\begin{document}
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||||
\maketitle
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||||
|
||||
\LARGE Nom, Prénom:
|
||||
\normalsize
|
||||
\vfill
|
||||
|
||||
Le barème est donné à titre indicatif, il pourra être modifié. Des points sont réservés à la propreté de la copie et à la précision des notations.
|
||||
|
||||
\begin{questions}
|
||||
\question[4]
|
||||
Relier les expressions de gauche à celle qui leurs est égales à droite. Certaines expressions de droite peuvent être reliée à aucune expression de gauche.
|
||||
|
||||
\begin{minipage}[c]{0.4\textwidth}
|
||||
\flushright
|
||||
$9x^2 + 12x + 4 \qquad \bullet$ \\[0.5cm]
|
||||
$36x^2 - 60x + 25 \qquad \bullet$ \\[0.5cm]
|
||||
$9x^2 + 6x + 1 \qquad \bullet$ \\[0.5cm]
|
||||
$(2x+1)(3x-1) + (3x-1)(x-2) \qquad \bullet$
|
||||
|
||||
\end{minipage}
|
||||
\hspace{1cm}
|
||||
\begin{minipage}[c]{0.4\textwidth}
|
||||
\begin{itemize}
|
||||
\item $(3x + 2)^2$
|
||||
\item $(3x - 1)^2$
|
||||
\item $(6x + 5)^2$
|
||||
\item $(9x + 4)^2$
|
||||
\item $(3x - 2)^2$
|
||||
\item $(6x - 5)^2$
|
||||
\item $(3x + 1)^2$
|
||||
\end{itemize}
|
||||
|
||||
\end{minipage}
|
||||
|
||||
\vfill
|
||||
\question[4]
|
||||
\begin{parts}
|
||||
%\part Développer l'expression puis réduire
|
||||
% \begin{eqnarray*}
|
||||
% A = (x+1)(2x+1) + (3x - 1)^2
|
||||
% \end{eqnarray*}
|
||||
|
||||
\part Factoriser l'expression suivante
|
||||
\begin{eqnarray*}
|
||||
B = ( -2 x + 8 ) \times ( 5 x - 2 ) + ( -2 x + 8 ) \times (-1 x + 4 ) \\
|
||||
\end{eqnarray*}
|
||||
|
||||
\part Factoriser l'expression suivante en utilisant une identité remarquable.
|
||||
\begin{eqnarray*}
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C = 81 x ^ 2 + 72 x + 16
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\end{eqnarray*}
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||||
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||||
\end{parts}
|
||||
|
||||
\vfill
|
||||
\question[5]
|
||||
% Sujet Nouvelle Calédonie Mars 2009
|
||||
\textit{La figure qui suit n'est pas en vraie grandeur. il n'est pas demandé de la repoduire. L'unité est le centimètre.}
|
||||
|
||||
On donne
|
||||
\begin{eqnarray*}
|
||||
ED = 9 \hspace{1cm} EB = 5,4 \hspace{1cm} EC = 12 \hspace{1cm} EA = 7,2 \hspace{1cm} CD = 15
|
||||
\end{eqnarray*}
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.2]{./fig/exo3}
|
||||
\end{center}
|
||||
|
||||
\begin{parts}
|
||||
\part Montrer que les droites $(AB)$ et $(CD)$ sont parallèles.
|
||||
\part Calculer la longueur du segment $[AB]$.
|
||||
\part Montrer que les droites $(CE)$ et $(DE)$ sont perpendiculaires.
|
||||
\end{parts}
|
||||
|
||||
\clearpage
|
||||
\question[5]
|
||||
Un propriétaire souhaite ménager le grenier de sa ferme. Voici le croquis puis le schéma de son grenier.
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.2]{./fig/croquisGre}
|
||||
\hspace{2cm}
|
||||
\includegraphics[scale=0.2]{./fig/schemaGre}
|
||||
\end{center}
|
||||
Ce propriétaire mesurant 1,75m souhaite savoir s'il peut rester debout sans se cogner la tête sur une des poutres représentée par le segment $[KM]$. $I$ est le milieu du segment $[BC]$.
|
||||
\begin{parts}
|
||||
\part Calculer la longueur du segment $[AI]$.On donnera une valeur approchée par défaut au centimètre près.
|
||||
\part Calculer la longueur du segment $[AJ]$.On donnera une valeur approchée par excès au centimètre près.
|
||||
\part Le propriétaire peut-il se tenir debout sans se cogner la tête?
|
||||
\end{parts}
|
||||
|
||||
\end{questions}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/DS/DS_140213/02_geo_devfact_2.pdf
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BIN
3e/DS/DS_140213/02_geo_devfact_2.pdf
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Binary file not shown.
111
3e/DS/DS_140213/02_geo_devfact_2.tex
Normal file
111
3e/DS/DS_140213/02_geo_devfact_2.tex
Normal file
@@ -0,0 +1,111 @@
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||||
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
|
||||
|
||||
% Title Page
|
||||
\titre{6}
|
||||
% \quatreC \quatreD \troisB \troisPro
|
||||
\classe{\troisB}
|
||||
\date{13 février 2014}
|
||||
\duree{1 heure}
|
||||
\sujet{2}
|
||||
% DS DSCorr DM DMCorr Corr
|
||||
\typedoc{DS}
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
|
||||
\LARGE Nom, Prénom:
|
||||
\normalsize
|
||||
\vfill
|
||||
|
||||
Le barème est donné à titre indicatif, il pourra être modifié. Des points sont réservés à la propreté de la copie et à la précision des notations.
|
||||
|
||||
\begin{questions}
|
||||
\question[4]
|
||||
Relier les expressions de gauche à celle qui leurs est égales à droite. Certaines expressions de droite peuvent être reliée à aucune expression de gauche.
|
||||
|
||||
\begin{minipage}[c]{0.4\textwidth}
|
||||
\flushright
|
||||
$4x^2 + 12x + 9 \qquad \bullet$ \\[0.5cm]
|
||||
$49x^2 - 70x + 36 \qquad \bullet$ \\[0.5cm]
|
||||
$4x^2 + 4x + 1 \qquad \bullet$ \\[0.5cm]
|
||||
$(x+1)(2x-1) + (2x-1)(x-2) \qquad \bullet$
|
||||
|
||||
\end{minipage}
|
||||
\hspace{1cm}
|
||||
\begin{minipage}[c]{0.4\textwidth}
|
||||
\begin{itemize}
|
||||
\item $(7x - 6)^2$
|
||||
\item $(2x + 1)^2$
|
||||
\item $(2x - 1)^2$
|
||||
\item $(7x + 6)^2$
|
||||
\item $(6x - 7)^2$
|
||||
\item $(3x + 2)^2$
|
||||
\item $(2x + 3)^2$
|
||||
\end{itemize}
|
||||
|
||||
\end{minipage}
|
||||
|
||||
\vfill
|
||||
\question[4]
|
||||
\begin{parts}
|
||||
%\part Développer l'expression puis réduire
|
||||
% \begin{eqnarray*}
|
||||
% A = (x+1)(2x+1) + (3x - 1)^2
|
||||
% \end{eqnarray*}
|
||||
|
||||
\part Factoriser l'expression suivante
|
||||
\begin{eqnarray*}
|
||||
B = ( 3 x - 8 )( -2 x - 8 ) + ( -2 x - 8 )(-1 x + 4 ) \\
|
||||
\end{eqnarray*}
|
||||
|
||||
\part Factoriser l'expression suivante en utilisant une identité remarquable.
|
||||
\begin{eqnarray*}
|
||||
C = 100 x ^ 2 + 80 x + 16
|
||||
\end{eqnarray*}
|
||||
|
||||
\end{parts}
|
||||
|
||||
\vfill
|
||||
\question[5]
|
||||
% Sujet Nouvelle Calédonie Mars 2009
|
||||
\textit{La figure qui suit n'est pas en vraie grandeur. il n'est pas demandé de la repoduire. L'unité est le centimètre.}
|
||||
|
||||
On donne
|
||||
\begin{eqnarray*}
|
||||
ED = 9 \hspace{1cm} EB = 5,4 \hspace{1cm} EC = 12 \hspace{1cm} EA = 7,2 \hspace{1cm} CD = 15
|
||||
\end{eqnarray*}
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.2]{./fig/exo3}
|
||||
\end{center}
|
||||
|
||||
\begin{parts}
|
||||
\part Montrer que les droites $(AB)$ et $(CD)$ sont parallèles.
|
||||
\part Calculer la longueur du segment $[AB]$.
|
||||
\part Montrer que les droites $(CE)$ et $(DE)$ sont perpendiculaires.
|
||||
\end{parts}
|
||||
|
||||
\clearpage
|
||||
\question[5]
|
||||
Un propriétaire souhaite ménager le grenier de sa ferme. Voici le croquis puis le schéma de son grenier.
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.2]{./fig/croquisGre}
|
||||
\hspace{2cm}
|
||||
\includegraphics[scale=0.2]{./fig/schemaGre}
|
||||
\end{center}
|
||||
Ce propriétaire mesurant 1,75m souhaite savoir s'il peut rester debout sans se cogner la tête sur une des poutres représentée par le segment $[KM]$. $I$ est le milieu du segment $[BC]$.
|
||||
\begin{parts}
|
||||
\part Calculer la longueur du segment $[AI]$.On donnera une valeur approchée par défaut au centimètre près.
|
||||
\part Calculer la longueur du segment $[AJ]$.On donnera une valeur approchée par excès au centimètre près.
|
||||
\part Le propriétaire peut-il se tenir debout sans se cogner la tête?
|
||||
\end{parts}
|
||||
|
||||
\end{questions}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/DS/DS_140213/fig/croquisGre.pdf
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BIN
3e/DS/DS_140213/fig/croquisGre.pdf
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Binary file not shown.
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3e/DS/DS_140213/fig/croquisGre.svg
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3e/DS/DS_140213/fig/croquisGre.svg
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@@ -0,0 +1,148 @@
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29
3e/DS/DS_140213/index.rst
Normal file
29
3e/DS/DS_140213/index.rst
Normal file
@@ -0,0 +1,29 @@
|
||||
Notes sur un DS de 3e
|
||||
########################
|
||||
|
||||
:date: 2014-02-13
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:modified: 2014-07-01
|
||||
:tags: DS, Nombres Calculs, Calculs Algebrique
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:category: 3e
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:authors: Benjamin Bertrand
|
||||
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
|
||||
|
||||
|
||||
|
||||
`Lien vers 02_geo_devfact_2.tex <02_geo_devfact_2.tex>`_
|
||||
|
||||
`Lien vers 02_geo_devfact.pdf <02_geo_devfact.pdf>`_
|
||||
|
||||
`Lien vers 02_geo_devfact.tex <02_geo_devfact.tex>`_
|
||||
|
||||
`Lien vers 02_geo_devfact_1.pdf <02_geo_devfact_1.pdf>`_
|
||||
|
||||
`Lien vers 02_geo_devfact_2.pdf <02_geo_devfact_2.pdf>`_
|
||||
|
||||
`Lien vers 02_geo_devfact_1.tex <02_geo_devfact_1.tex>`_
|
||||
|
||||
`Lien vers fig/croquisGre.pdf <fig/croquisGre.pdf>`_
|
||||
|
||||
`Lien vers fig/schemaGre.pdf <fig/schemaGre.pdf>`_
|
||||
|
||||
`Lien vers fig/exo3.pdf <fig/exo3.pdf>`_
|
||||
Reference in New Issue
Block a user