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%
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\RequirePackage{tabularx}
\usetikzlibrary{shapes,arrows,automata,shadows,calc}
\RequirePackage{texgraph}
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%
\RequirePackage[french,ruled,boxed,slide]{algorithm2e}
\SetKwInput{Init}{Initialisation}
\SetKwInput{Entrees}{Entr\'ees}
\SetKwInput{Entree}{Entr\'ee}
\SetKwInput{Sortie}{Sortie}
\SetKwInput{Sorties}{Sorties}
\SetKwIF{Si}{SinonSi}{Sinon}{Si}{alors}{SinonSi}{Sinon}{FinSi}
\SetKwBlock{Trait}{Traitement}{FinTraitement}
\SetKwBlock{TraitSortie}{Traitement et Sortie}{FinTraitement}
\SetKwFor{Pour}{Pour}{faire}{FinPour}
\SetKwFor{Tq}{Tant que}{faire}{FinTantque}
%
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\usefonttheme[onlymath]{serif}
% contenu de la page de titre
\title{{\bf ACTIVITÉS NUMÉRIQUES}}
\subtitle{Tableaux de signes -- Série 3}
\author{\small{Calcul mental et automatismes -- IREM de Clermont-Ferrand}}
\institute{\texttt{}}
\date{}
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%
\def\R{\mathbb{R}}
\let\ds\displaystyle
\let\Sup\geqslant
\let\Inf\leqslant
\newcommand{\Oij}{\ensuremath{\left(O~;\Vi{i},\Vi{j}\right)}}  	% repère plan
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\begin{document}


\begin{texgraph}[name=tab1,export=pgf,preload="variations.mod",auto=false]
dimTab(4,8),
defLargeCol(0,1.5,1,3), defHautLig(0,2),
Cadre(1,1,4,8), traitV(1),
for k in [1,2,3] do traitH(k) od,
InitLig1("x","-\infty","-\dfrac32","\dfrac25","+\infty"),
InitCol1("A(x)=2x+3","B(x)=2-5x","A(x)\times B(x)"),
valeursLig(2,+1,"-","0","+",+1,"+"),
valeursLig(3,+1,"+",+1,"+","0","-"),
valeursLig(4,+1,"-","0","+","0","-"),
simpleB(4,2,4), simpleB(6,2,4),
\end{texgraph}

\begin{texgraph}[name=tab2,export=pgf,preload="variations.mod",auto=false]
dimTab(5,10),
defLargeCol(0,1.1,1,3.5), defHautLig(0,2),
Cadre(1,1,5,10), traitV(1),
for k in [1,2,3,4] do traitH(k) od,
InitLig1("x","-10","\dfrac27","\dfrac12","3","50"),
InitCol1("A(x)=-2+7x","B(x)=2x-1","C(x)=-x+3","A(x)\times B(x)\times C(x)"),
valeursLig(2,+1,"-","0","+",+1,"+",+1,"+"),
valeursLig(3,+1,"-",+1,"-","0","+",+1,"+"),
valeursLig(4,+1,"+",+1,"+",+1,"+","0","-"),
valeursLig(5,+1,"+","0","-","0","+","0","-"),
simpleB(4,2,5), simpleB(6,2,5), simpleB(8,2,5),
\end{texgraph}

\begin{texgraph}[name=tab3,export=pgf,preload="variations.mod",auto=false]
dimTab(3,8),
defLargeCol(0,1.5,1,2), defHautLig(0,2),
Cadre(1,1,3,8), traitV(1),
for k in [1,2] do traitH(k) od,
InitLig1("x","-\infty","5","7","+\infty"),
InitCol1("A(x)","B(x)"),
valeursLig(2,+1,"-","0","+",+1,"+"),
valeursLig(3,+1,"-",+1,"-","0","+"),
simpleB(4,2,3), simpleB(6,2,3), 
\end{texgraph}

\begin{texgraph}[name=tab4,export=pgf,preload="variations.mod",auto=false]
dimTab(4,8),
defLargeCol(0,1.1,1,3), defHautLig(0,2),
Cadre(1,1,4,8), traitV(1),
for k in [1,2,3] do traitH(k) od,
InitLig1("x","-\infty","0","\dfrac92","+\infty"),
InitCol1("A(x)=-2x+9","B(x)=x^2+1","A(x)\times B(x)"),
valeursLig(2,+1,"+",+1,"+","0","-"),
valeursLig(3,+1,+3,+1,"+"),
valeursLig(4,+1,+3,"0","-"),
simpleB(4,2,4), simpleB(6,2,4), 
\end{texgraph}

\begin{texgraph}[name=tab5,export=pgf,preload="variations.mod",auto=false]
dimTab(4,10),
defLargeCol(0,1.25,1,2), defHautLig(0,2),
Cadre(1,1,4,10), traitV(1),
for k in [1,2,3,4] do traitH(k) od,
InitLig1("x","-\infty","-3","0","5","+\infty"),
InitCol1("A(x)","B(x)","C(x)"),
valeursLig(2,+1,"-","0","+",+1,"+",+1,"+"),
valeursLig(3,+1,"+",+1,"+",+1,"+","0","-"),
valeursLig(4,+1,"-",+1,"-","0","+",+1,"+"),
simpleB(4,2,4), simpleB(6,2,4), simpleB(8,2,4),  
\end{texgraph}

\begin{frame}
\titlepage 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%          Q1         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (1)}

\begin{frame}
\frametitle{\textbf{Question (1)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{.5cm}
%
\begin{center} \input{tab1.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $A(x)\times B(x) \Sup 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%          Q2         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (2)}

\begin{frame}
\frametitle{\textbf{Question (2)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab1.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $A(x)\times B(x) < 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%          Q3         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (3)}

\begin{frame}
\frametitle{\textbf{Question (3)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab1.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $\dfrac{A(x)}{B(x)} \Sup 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%          Q4         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (4)}

\begin{frame}
\frametitle{\textbf{Question (4)}}
On considère le tableau de signes ci-dessous.

\begin{center} \input{tab2.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation {\small $A(x) \times B(x) \times C(x) > 0$} ?
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%          Q5         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (5)}

\begin{frame}
\frametitle{\textbf{Question (5)}}
On considère le tableau de signes ci-dessous.

\begin{center} \input{tab2.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $\dfrac{A(x) \times C(x)}{B(x)} \Inf 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%
%          Q6         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (6)}

\begin{frame}
\frametitle{\textbf{Question (6)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab3.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $A(x) \times B(x) > 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%
%          Q7         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (7)}

\begin{frame}
\frametitle{\textbf{Question (7)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{.5cm}

\begin{center} \input{tab3.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $\dfrac{A(x)}{B(x)} \Sup 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%
%          Q8          %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (8)}

\begin{frame}
\frametitle{\textbf{Question (8)}}
On considère le tableau de signes incomplet ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab4.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $A(x) \times B(x) \Sup 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%
%          Q9         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (9)}

\begin{frame}
\frametitle{\textbf{Question (9)}}
On considère le tableau de signes incomplet ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab4.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation $\dfrac{A(x)}{B(x)} \Inf 0~?$
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%
%          Q10         %
%%%%%%%%%%%%%%%%%%%%%%%%
\section{Question (10)}

\begin{frame}
\frametitle{\textbf{Question (10)}}
On considère le tableau de signes ci-dessous.
%
\vspace*{0.5cm}

\begin{center} \input{tab5.pgf} \end{center}
%
%\begin{columns}[t]
%	\begin{column}{7cm}
%		
		\vspace*{0.5cm} 
%		
		\begin{block}{}
		Quel est l'ensemble des solutions de l'inéquation {\small $A(x) \times B(x) \times C(x) > 0$} ?
		%
%		\medskip
%		
		\end{block}
%	\end{column}
%	\begin{column}{4cm}
%		
%	\end{column}
%\end{columns} 
\end{frame}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%
%         FIN          %
%%%%%%%%%%%%%%%%%%%%%%%%
\begin{texgraph}[preload="ornaments.mod", name=fin, export=pgf, auto=false]
Fenetre(-3+0.5*i,3-0.5*i,1+i),
Marges(0,0,0,0),
S:=Loadvectorian(72),
Drawvectorian(-2, S, [width:=2]),
S:=Loadvectorian(73),
Drawvectorian(2, S, [width:=2]),
LabelSize:=Huge, Label(0, "FIN") 
\end{texgraph}

\begin{frame}
\begin{center} {\Huge 
\input{fin.pgf}
} \end{center}
\end{frame}

\end{document} 


