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%
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\RequirePackage{tabularx}
\usetikzlibrary{shapes,arrows,automata,shadows,calc}
\RequirePackage{texgraph}
\RequirePackage[frenchb]{babel}
%
\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 FONCTION CARRÉ}}
\subtitle{Série 2}
\author{\small{Calcul mental et automatismes -- IREM de Clermont-Ferrand}}
\institute{\texttt{}}
\date{}
\hypersetup{
	%pdfpagemode = FullScreen,					% afficher le pdf en plein écran     
	pdfauthor   = {Joffrey Cottin},					%
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%
\def\R{\mathbb{R}}
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\newcommand{\Oij}{\ensuremath{\left(O~;\Vi{i},\Vi{j}\right)}}  	% repère plan
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\newcommand{\coord}[2]{\ensuremath{\left(#1~;~#2\right)}}	% coordonnées plan

\begin{document}

\begin{frame}
\titlepage 
\end{frame}

\begin{texgraph}[name=fctcarre,export=pgf,preload="grid.mod",auto=false]
Fenetre(-3-0.5*i,3+5.5*i,0.95*(1+i)),
Marges(0,0,0,0),
draw("grid",[Xmin+Ymin*i,Xmax+Ymax*i],[nbsubdiv:=[1,1],
                                       gridcolor:=gray, subgridcolor:=gray,
                                       gridwidth:=2, subgridwidth:=2]),
draw("axeX",[0,1],[originpos:=left,Arrows:=1]),
draw("axeY",[0,1],[originpos:=jump,Arrows:=1]),
NewMac("f","%1^2"),
draw("cartesian",f(x),[Color:=red,Width:=8])   
\end{texgraph}


%%%%%%%%%%%%%%%%%%%%
%%% Question (1) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (1)}

\begin{frame}
\frametitle{\textbf{Question (1)}}

\begin{block}{}
{\Large
\begin{center} Quelle est l'image de $5-\sqrt3$ par la\\ fonction carré ?\phantom{$\frac12$} \end{center}
} 
\end{block}

\end{frame}

%%%%%%%%%%%%%%%%%%%%
%%% Question (2) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (2)}

\begin{frame}
\frametitle{\textbf{Question (2)}}

\begin{block}{}
{\Large
\begin{center} Quels sont les antécédents de $\dfrac{7}{25}$ par la fonction carré ?\phantom{$\frac12$} \end{center}
} 
\end{block}
\end{frame}

%%%%%%%%%%%%%%%%%%%%
%%% Question (3) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (3)}

\begin{frame}
\frametitle{\textbf{Question (3)}}

\begin{block}{}
{\Large%
\begin{center} Comparer les nombres\\ $(\pi-4)^2$ et $(-1,5)^2$.\phantom{$\frac12$} \end{center}
} 
\end{block}
\end{frame}

%%%%%%%%%%%%%%%%%%%%
%%% Question (4) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (4)}

\begin{frame}
\frametitle{\textbf{Question (4)}}

\begin{block}{}
{\Large%
\begin{center} Quels sont le minimum et le maximum de la fonction carré sur l'intervalle $\Iff{-2}{5}$ ?\phantom{$\frac12$} \end{center}
} 
\end{block}
\end{frame}

%%%%%%%%%%%%%%%%%%%%
%%% Question (5) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (5)}

\begin{frame}
\frametitle{\textbf{Question (5)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer une information la plus précise possible sur $x^2$ lorsque $x>7$.\phantom{$\frac12$} \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\end{frame}


%%%%%%%%%%%%%%%%%%%%
%%% Question (6) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (6)}

\begin{frame}
\frametitle{\textbf{Question (6)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer une information la plus précise possible sur $x^2$ lorsque $-5\Inf x <2$.\phantom{$\frac12$} \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\end{frame}


%%%%%%%%%%%%%%%%%%%%
%%% Question (7) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (7)}

\begin{frame}
\frametitle{\textbf{Question (7)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer une information la plus précise possible sur $x^2$ lorsque $x\Sup -3$.\phantom{$\frac12$} \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\end{frame}


%%%%%%%%%%%%%%%%%%%%
%%% Question (8) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (8)}

\begin{frame}
\frametitle{\textbf{Question (8)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer tous les réels $x$ tels que $x^2\Inf6.\phantom{\frac12}$ \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\end{frame}


%%%%%%%%%%%%%%%%%%%%
%%% Question (9) %%%
%%%%%%%%%%%%%%%%%%%%
\section{Question (9)}

\begin{frame}
\frametitle{\textbf{Question (9)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer tous les réels $x$ tels que $7< x^2\Inf16.\phantom{\frac12}$ \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\end{frame}


%%%%%%%%%%%%%%%%%%%%%
%%% Question (10) %%%
%%%%%%%%%%%%%%%%%%%%%
\section{Question (10)}

\begin{frame}
\frametitle{\textbf{Question (10)}}

\begin{block}{}
{\Large%
\begin{center} Déterminer tous les réels $x$ tels que $x^2>64.\phantom{\frac12}$ \end{center}
} 
\end{block}

\begin{center} \input{fctcarre.pgf} \end{center}
\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} 