2022-2023/2nd/Questions_flashs/P2/QF_S49-1.tex
Bertrand Benjamin 73a13ba0c0
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Feat(2gt1): QF pour S49
2022-12-06 09:18:50 +01:00

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
2nd
\vfill
30 secondes par calcul
\vfill
\tiny \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
% Développer et réduire
Démontrer que pour tout nombre $x$ on a
\[
2x(5x + 3) = 10x^2 + 6x
\]
\end{frame}
\begin{frame}{Calcul 2}
% Proportion
Dans un panier de fruits, on compte 50\% de fruits exotiques. Et parmi ces fruits exotiques, 10\% sont des bananes.
\vfill
Quelle est la proportion de banane dans ce panier?
\vfill
\end{frame}
\begin{frame}{Calcul 3}
% Equation graphique
Déterminer graphiquement $f(x) \geq 0$
\begin{center}
\begin{tikzpicture}[scale=0.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=-3,ymax=5,ystep=1]
\tkzGrid
\tkzAxeXY
\draw[very thick, color=red] plot [smooth,tension=0.5] coordinates{%
(-5, 1)
(-4, 3)
(-3, 2)
(-2, 1)
(-1, 2)
(0, 1)
(1, 0)
(2, -1)
(3, 0)
(4, -1)
(5, 0)
};
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Calcul 4}
% Vecteurs
\begin{minipage}{0.3\linewidth}
Déterminer un vecteur égal à
\[
\vect{v}
\]
\end{minipage}
\hfill
\begin{minipage}{0.5\linewidth}
\begin{tikzpicture}[scale=1]
%\draw (0, 0) grid (6, 6);
\draw (0, 0) rectangle (6, 6);
\draw (4, 5) node {x} node [above right] {$A$};
\draw (2, 1) node {x} node [below right] {$B$};
\draw (4, 1) node {x} node [below right] {$C$};
\draw (2, 5) node {x} node [above right] {$D$};
\draw (1, 3) node {x} node [above left] {$E$};
\draw (5, 3) node {x} node [above right] {$F$};
\draw [->, very thick] (1, 1) -- node [midway, left] {$\vect{u}$} ++(1, 2);
\draw [->, very thick] (1, 4) -- node [midway, below ] {$\vect{v}$} ++ (2, 0);
\end{tikzpicture}
\end{minipage}
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}