140 lines
4.1 KiB
TeX
140 lines
4.1 KiB
TeX
|
\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 autorisée}
|
||
|
|
\vfill
|
||
|
|
\tiny \jobname
|
||
|
|
\end{center}
|
||
|
|
\end{frame}
|
||
|
|
|
||
|
|
\begin{frame}{Calcul 1}
|
||
|
|
% Dérivation
|
||
|
|
Déterminer la fonction dérivée de
|
||
|
|
\[
|
||
|
|
f(x) = -3 + 5x - 0.1x^2
|
||
|
|
\]
|
||
|
|
\end{frame}
|
||
|
|
|
||
|
|
\begin{frame}{Calcul 2}
|
||
|
|
% tableau signe et variations
|
||
|
|
On a fait le calcul suivant
|
||
|
|
\[
|
||
|
|
f'(x) \geq 0 \qquad \cdots \qquad x \geq -4
|
||
|
|
\]
|
||
|
|
\vfill
|
||
|
|
Tracer le tableur de signe de $f(x)$ correspondant.
|
||
|
|
\vfill
|
||
|
|
\begin{center}
|
||
|
|
\small
|
||
|
|
\begin{tikzpicture}
|
||
|
|
\tkzTabInit[lgt=3,espcl=6]{$x$/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 3}
|
||
|
|
% probabilité
|
||
|
|
Calculer la probabilité $P(\mbox{avoir un } C \mbox{ et deux} \overline{C})$
|
||
|
|
\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}[fragile]{Calcul 4}
|
||
|
|
% Taux évolution
|
||
|
|
\vfill
|
||
|
|
Une entreprise décide d'augmenter production de 100 tonnes par an. En 2020, elle produisait \np{10 000} tonnes.
|
||
|
|
\vfill
|
||
|
|
Quels seront ses emissions en 2030.
|
||
|
|
\vfill
|
||
|
|
\end{frame}
|
||
|
|
|
||
|
|
\begin{frame}{Fin}
|
||
|
|
\begin{center}
|
||
|
|
On retourne son papier.
|
||
|
|
\end{center}
|
||
|
|
\end{frame}
|
||
|
|
|
||
|
|
|
||
|
|
\end{document}
|