calculs mentaux + exos 2nde + dst 2nde
authorDenise sur Titasmo <denise.maurice@normalesup.org>
Wed, 10 Feb 2016 17:53:11 +0000 (18:53 +0100)
committerDenise sur Titasmo <denise.maurice@normalesup.org>
Wed, 10 Feb 2016 17:53:11 +0000 (18:53 +0100)
71 files changed:
1ere/calcul_mental/tableausigne.pdf [new file with mode: 0644]
1ere/calcul_mental/tableausigne.tex [new file with mode: 0644]
2nde/DST_6/dst6.tex [new file with mode: 0644]
2nde/DST_6/dst6_A_corrige.pdf [new file with mode: 0644]
2nde/DST_6/dst6_A_enonce.pdf [new file with mode: 0644]
2nde/DST_6/dst6_B_corrige.pdf [new file with mode: 0644]
2nde/DST_6/dst6_B_enonce.pdf [new file with mode: 0644]
2nde/DST_6/repere.pdf [new file with mode: 0644]
2nde/calcul_mental/signe1deg.pdf [new file with mode: 0644]
2nde/calcul_mental/signe1deg.tex [new file with mode: 0644]
2nde/chapitre6_fct_affines/enigme.pdf [new file with mode: 0644]
2nde/chapitre6_fct_affines/enigme.tex [new file with mode: 0644]
2nde/chapitre6_fct_affines/enigme_2pages.pdf [new file with mode: 0644]
2nde/chapitre7_echantillonnage/exorevision.pdf [new file with mode: 0644]
2nde/chapitre7_echantillonnage/exorevision.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/images/aurium_Ant.eps [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/images/logo_hospital_small.eps [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/images/roulette-wheel_small.eps [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_affaire_castaneda_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_Simulation_IC_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_Simulation_IF_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_abaque2_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_grippe_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_opticien_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_appr_publicite_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_elections_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_2SP2_surbooking_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2/inc_SP2_TP4_sourcetex.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_acti.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_appr.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_base.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_cours.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_fin.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_mental.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_mental.tex.backup [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_pagedegarde.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_qcm.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_2SP2_tp.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/2SP2/inc_chapitre_2SP2.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/MS2_2SP2_chapitrecomplet.cor [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/MS2_2SP2_chapitrecomplet.dvi [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/MS2_2SP2_chapitrecomplet.pdf [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/MS2_2SP2_chapitrecomplet.ps [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/MS2_2SP2_chapitrecomplet.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/commande.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-AE-SP2-1.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-AE-SP2-2.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-1.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-18.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-2.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-3.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-4.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-40.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-5.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-6.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-ExoBase-SP2-7.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-55.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-56.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-57.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-58.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-59.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-60.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-61.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-62.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-63.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-64.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/corrections/corr-QCM-SP2-65.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/patch.tex [new file with mode: 0644]
2nde/manuel_sesamath/2SP2/sesamathbook.cls [new file with mode: 0644]
dossier_inspec/dsts_2nde.pdf [new file with mode: 0644]
dossier_inspec/script [new file with mode: 0644]

diff --git a/1ere/calcul_mental/tableausigne.pdf b/1ere/calcul_mental/tableausigne.pdf
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diff --git a/1ere/calcul_mental/tableausigne.tex b/1ere/calcul_mental/tableausigne.tex
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--- /dev/null
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+\input{../../header_beamer.tex}
+
+\begin{document}
+\slide{Déterminer le tableau de signe des expressions suivantes}
+
+\slide{1)
+\[ A(x) = -2x+7\]
+}
+
+\slide{2)
+\[ B(x) = (-2x+7)(x-1) \]
+
+}
+
+\slide{3)
+\[
+C(x) = x^2 - 6x +8 
+\]
+\[ \Delta = 4 \qquad x_1 = 4 \qquad x_2 = 2\]
+}
+
+\slide{4)
+\[D(x) = \frac{-2x+7}{x-1} \]
+
+}
+
+\slide{5)
+\[
+E(x) = (x^2 -6x + 8)(x-1)
+\]
+\[ \Delta = 4 \qquad x_1 = 4 \qquad x_2 = 2\]
+}
+
+\slide{\begin{enumerate}
+\item $A(x) = -2x+7$
+\item $B(x) = (-2x+7)(x-1)$
+\item $C(x) = x^2 - 6x +8 $
+\[ \Delta = 4 \qquad x_1 = 4 \qquad x_2 = 2\]
+\item $D(x) = \frac{-2x+7}{x-1}$
+\item $E(x) = (x^2 -6x + 8)(x-1)$
+\end{enumerate}
+
+
+}
+
+\end{document}
diff --git a/2nde/DST_6/dst6.tex b/2nde/DST_6/dst6.tex
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--- /dev/null
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+\input{../../header.tex}
+
+\title{\vspace{-1.5cm}DST numéro 6 (petit) -- classe de 2nde 6  -- Version \version{A}{B} \vspace{-1.5cm}
+}
+\date{\dateoucorr{12/02/2015}}
+
+
+\begin{document}
+
+\maketitle
+
+
+\nomprenom
+%\bigskip
+
+\chapoDST{
+}
+
+\section{Généralités (13)}
+\begin{enumerate}
+\item Les fonctions ci-dessous sont-elles affines ? Justifier (dans le cas où la fonction est affine, donner les valeurs des coefficients $a$ et $b$).\bareme{1 chaque}
+\begin{enumerate}
+       \item $f(x) = \version{\frac{x}{2}}{f(x) = \frac{2}{x}} $ \dotfill
+
+\smallskip
+
+\lignepoint
+
+       \item $g(x) = \version{\frac{2}{x} + 1}{-4x+2}$ \dotfill
+
+\smallskip
+
+
+\lignepoint
+
+       \item $h(x) = \version{2+5x}{\frac{-4}{x}}$ \dotfill
+
+\smallskip
+
+
+\lignepoint
+
+       \item $i(x) = \version{2x^2 -1}{3x^3 + 2} $ \dotfill
+
+\smallskip
+
+\lignepoint
+\end{enumerate}
+\item Voici trois fonctions affines :
+\[ \version{
+f(x) = 2x-2 \qquad g(x) = -3 \qquad h(x) =  -\frac{1}{3}x}{ f(x) = \frac{1}{2}x \qquad g(x) = -3x + 4 \qquad h(x) = 2}
+\]
+\begin{enumerate}
+\item Quel est le sens de variations de chacune d'elle ? Justifier brièvement. \bareme{1,5}
+
+\hspace{-2cm}\begin{tabular}{p{0.3\textwidth}|p{0.35\textwidth}|p{0.3\textwidth}}
+\[f\] & \[g\] & \[h\] \\
+\vspace{1.5cm} ~ & & \\
+\end{tabular}
+\item Donner le signe de chacune d'elle (de préférence sous forme d'un tableau). \bareme{4,5}
+
+\hspace{-2cm}\begin{tabular}{p{0.3\textwidth}|p{0.35\textwidth}|p{0.3\textwidth}}
+\[f\] & \[g\] & \[h\] \\
+\vspace{4cm} ~ & & \\
+\end{tabular}
+\item Représenter dans le repère ci-dessous les trois fonctions affines suivantes (les détails du tracé ne sont pas exigés mais peuvent être valorisés si la représentation graphique n'est pas correcte...) \bareme{3}
+
+\includegraphics[width=16cm]{repere.pdf}
+
+\end{enumerate}
+
+\end{enumerate}
+
+\section{Retrouver une fonction affine (5)}
+\begin{enumerate}
+\item $f$ est une fonction affine de coefficient directeur \version{$2$}{$-2$} et telle que $f(3) = 0$. Déterminer l'expression de $f$. \bareme{1} \corrigeab{$2x-6$}{$-2x+6$}
+\item $g$ est une fonction affine telle que $g(-2) = 8$ et \version{$g(3) = 3$}{$g(4) = 11$}. Déterminer l'expression de $g$. \bareme{2} \corrigeab{$-x+6$}{$x/2+9$}
+\item $h$ est une fonction linéaire, dont la représentation graphique passe par le point d'intersection des représentations graphique de $f$ et $g$. Déterminer l'expression de $h$. \bareme{2}
+\end{enumerate}
+
+\section{Problème (4)}
+
+Albert habite au 17e étage d'un immeuble (sans ascenseur), et son ami Gontran vient le visiter. Celui-ci monte les marches à la vitesse de 3 marches par secondes. Albert, pressé de le voir, descend les marches à sa rencontre, à la vitesse de 4 marches par secondes.
+Sachant qu'il y a \version{21}{14} marches par étage et que les deux amis ont commencé à courir en même temps, au bout de combien de temps et sur quelle marche vont-ils se retrouver ?
+
+\emph{N'hésitez pas à laisser les traces de vos recherches, même si elles n'aboutissent pas.}
+
+\corrigeab{153e marche et 51 sec}{102e marche et 34 secondes}
+
+
+
+\end{document}
diff --git a/2nde/DST_6/dst6_A_corrige.pdf b/2nde/DST_6/dst6_A_corrige.pdf
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diff --git a/2nde/DST_6/dst6_B_corrige.pdf b/2nde/DST_6/dst6_B_corrige.pdf
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diff --git a/2nde/DST_6/dst6_B_enonce.pdf b/2nde/DST_6/dst6_B_enonce.pdf
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diff --git a/2nde/DST_6/repere.pdf b/2nde/DST_6/repere.pdf
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diff --git a/2nde/calcul_mental/signe1deg.pdf b/2nde/calcul_mental/signe1deg.pdf
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diff --git a/2nde/calcul_mental/signe1deg.tex b/2nde/calcul_mental/signe1deg.tex
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+\input{../../header_beamer.tex}
+
+\begin{document}
+\slide{Signe d'une fonction affine
+}
+
+\slide{1)
+\[
+f(x) = x+3
+\]
+
+}
+\slide{2)
+\[
+g(x) = -2x +4 
+\]
+}
+
+\slide{3)
+\[ 
+h(x) = -\frac{1}{2}
+\]
+}
+
+\slide{4)
+\[
+i(x) = x
+\]
+}
+
+\slide{5)
+\[
+j(x) = \frac{1}{2}x + \frac{1}{3}
+\]
+}
+
+\slide{\begin{enumerate}
+\item $f(x) = x+3$
+\item $g(x) = -2x +4 $
+\item $h(x) = -\frac{1}{2}$
+\item $i(x) = x$
+\item $j(x) = \frac{1}{2}x + \frac{1}{3}$
+\end{enumerate}
+}
+\end{document}
diff --git a/2nde/chapitre6_fct_affines/enigme.pdf b/2nde/chapitre6_fct_affines/enigme.pdf
new file mode 100644 (file)
index 0000000..4e4e34f
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diff --git a/2nde/chapitre6_fct_affines/enigme.tex b/2nde/chapitre6_fct_affines/enigme.tex
new file mode 100644 (file)
index 0000000..7f08738
--- /dev/null
@@ -0,0 +1,31 @@
+\input{../../header_a5.tex}
+
+\begin{document}
+\newcommand\bla{\exon{Réductions}
+Laquelle de ces deux promotions est la plus intéressante ?
+\begin{itemize}
+       \item \og Super promo, 15 \% de réduction sur le prix ! \fg
+       \item \og Super affaire, +15 \% de produit en plus ! \fg
+\end{itemize}
+
+}
+
+\bla
+
+\vspace{1cm}
+
+\bla
+
+\vspace{1cm}
+\bla
+
+\vspace{1cm}
+\bla
+
+\vspace{1cm}
+\bla
+
+\vspace{1cm}
+
+
+\end{document}
diff --git a/2nde/chapitre6_fct_affines/enigme_2pages.pdf b/2nde/chapitre6_fct_affines/enigme_2pages.pdf
new file mode 100644 (file)
index 0000000..dca6f9a
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diff --git a/2nde/chapitre7_echantillonnage/exorevision.pdf b/2nde/chapitre7_echantillonnage/exorevision.pdf
new file mode 100644 (file)
index 0000000..f517c2e
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diff --git a/2nde/chapitre7_echantillonnage/exorevision.tex b/2nde/chapitre7_echantillonnage/exorevision.tex
new file mode 100644 (file)
index 0000000..d0320e3
--- /dev/null
@@ -0,0 +1,31 @@
+\input{../../header_a5.tex}
+
+\begin{document}
+\exo{}
+Aux congrès des héros, on trouve des Jedis (J), des chevaliers de la Table Ronde (T) et des elfes des Terres du milieu (E).  
+
+
+    \begin{tabular}{|c|c|c|c|}\hline
+     Héros & J & T & E \\\hline
+     Effectifs  à Londres& 37&77&23\\\hline
+     Effectifs à Baltimore & 53 & 48 & 40 \\\hline
+    \end{tabular}
+\begin{enumerate}
+ \item Dans quelle ville de congrès,  les Jedis sont-ils les plus présents? 
+ \item Même question pour les chevaliers.
+ \item Pour ces deux relevés, calculer les fréquences de présence de chaque type de héros  à $0,01$ près.
+\end{enumerate}
+
+\exo{}
+ Un jeu consiste à miser sur le doigt des deux mains que va faire apparaître un animateur (qui ne connaît pas les paris). 
+ \begin{enumerate}
+  \item Quelle est la probabilité de gagner? 
+  
+  Répondre sans justifier.
+  \item Si je joue 10~fois, suis-je sûr de gagner?
+  \item Si je joue 100~fois, suis-je sûr de gagner 10~fois?
+  \item 10~personnes jouent. Elles ne connaissent pas le vote des autres.  Est-on sûr qu'au moins l'une d'entre elles va gagner?
+  \item 10~personnes jouent. Chacune a un vote différent des autres. Est-on sûr qu'au moins l'une d'entre elles va gagner?
+ \end{enumerate}
+
+\end{document}
diff --git a/2nde/manuel_sesamath/2SP2/2SP2/images/aurium_Ant.eps b/2nde/manuel_sesamath/2SP2/2SP2/images/aurium_Ant.eps
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+%!PS-Adobe-3.0 EPSF-3.0
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+%%Title: aurium_Ant.eps
+%%CreationDate: Mon Dec 30 16:47:48 2013
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 2
+%%Pages: 1
+%%BoundingBox: 14 14 175 175
+%%EndComments
+%%BeginProlog
+% Use own dictionary to avoid conflicts
+10 dict begin
+%%EndProlog
+%%Page: 1 1
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+14.173228346456694 14.173228346456694 translate
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+159.98740157480313 -159.98740157480313 scale
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+% Transformation matrix
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+/rstr 2000 string def
+/gstr 2000 string def
+/bstr 2000 string def
+{currentfile /ASCII85Decode filter /RunLengthDecode filter rstr readstring pop}
+{currentfile /ASCII85Decode filter /RunLengthDecode filter gstr readstring pop}
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