2022-2023/1ST/Questions_flashs/P5/QF_S20-2.tex
Bertrand Benjamin acbe79ca4f
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Feat(1ST): QF pour S20
2023-05-12 09:26:31 +02:00

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\documentclass[12pt]{classPres}
\usepackage{tkz-fct}
\usepackage{pgfplots}
\usetikzlibrary{decorations.markings}
\pgfplotsset{compat=1.18}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Première ST
\vfill
30 secondes par calcul
\vfill
\textbf{Calculatrice non autorisée}
\vfill
\tiny \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
% Suite
Un prix diminue de 20\% tous les ans. En 2022, il était de 55\euro.
\vfill
On appelle $u_n$ la suite qui modélise ce prix.
\vfill
Quelle est la nature de la suite $(u_n)$, préciser ses paramètres.
\vfill
\end{frame}
\begin{frame}{Calcul 2}
% Opération ensembles
\begin{tabular}{|*{4}{c|}}
\hline
Section/regime & Interne & Externe & Total \\
\hline
1ST & 10 & 15 & 25 \\
\hline
1G & 14 & 17 & 31 \\
\hline
Total & 24 & 32 & 56 \\
\hline
\end{tabular}
\vfill
On note :
\begin{itemize}
\item S = "l'élève est en 1ST"
\item I = "l'élève est interne"
\end{itemize}
\vfill
Calculer la quantité $P(\overline{I} \cap S)$
\vfill
\end{frame}
\begin{frame}[fragile]{Calcul 3}
% Variations
On donne la fonction et sa dérivée
\[
f(x) = - 2x - 1 \qquad \qquad f'(x) = -2
\]
Compléter le tableau de signes et de variations suivant
\begin{center}
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=7]{$x$/1,Signe de $f'(x)$/2, Variations de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}%
\tkzTabLine{,,}%
\tkzTabVar{,}%
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}[fragile]{Calcul 4}
% probabilitéz
Calculer la probabilité $P(\mbox{avoir exactement 2} C)$
\begin{center}
\begin{tikzpicture}[grow=down, sloped, scale=1]
\tikzset{level 1/.style={sibling distance=6cm}}
\tikzset{level 2/.style={sibling distance=3cm}}
\tikzset{level 3/.style={sibling distance=1.5cm}}
\node {.}
child {node {C}
child {node {C}
child {node {C}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
child {node {C}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.6}
}
child { node {$\overline{C}$}
child {node {C}
child {node {C}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
child {node {C}
edge from parent
node[above] {0.6}
}
child {node {$\overline{C}$}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.4}
}
edge from parent
node[above] {0.4}
}%
;
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}