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Bertrand Benjamin
2020-05-05 09:53:14 +02:00
parent 0e4c9c0fea
commit 7de4bab059
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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Dériver
\[
g(x) = 3x(2x+1)
\]
\end{frame}
\begin{frame}{Calcul 2}
Dériver
\[
f(x) = (2x + 1)^4
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
10^n = 2
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
i^2 =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Dériver
\[
f(x) = (2x+1)(2x-1)
\]
\end{frame}
\begin{frame}{Calcul 2}
Dériver
\[
g(x) = \frac{2x+3}{2x}
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
2^x = 100
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
2i + i^2 + 10 =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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Tsti2d/Questions_Flash/P2/QF_19_11-18-3.tex Executable file
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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Dériver
\[
f(x) = (3x+2)(3x-2)
\]
\end{frame}
\begin{frame}{Calcul 2}
Dériver
\[
g(x) = \frac{3}{x+1}
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
ln(2x) = ln(x - 1)
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
2i^2 + 4i - 2i + 10 =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([0, 1])$.
\[
P(X > 0,3) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
4 \times 10^x > 2
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
ln(2+x) = ln(5x-1)
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
2i(4i+1) =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([0, 10])$.
\[
P(X < 4,5) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
4 \times 10^x > 10^x
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
ln(2+x) + ln(2) = ln(5x-1)
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
i(3i-5) =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([50, 200])$.
\[
P(100 < X < 150) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
e^{3x+1} > 1
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
\ln(x) + 2\ln(2) = 0
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
(2i+1)(3i-1) =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([2, 6])$.
\[
P(3,1 < X < 3,3) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
5 \times e^x > 2
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
ln(2+x) + ln(2) = ln(5x-1)
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
(2i-3)(5i-2) =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([200, 800])$.
\[
P(300 < X < 750) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
5 \times e^{2x} > 10
\]
\end{frame}
\begin{frame}{Calcul 3}
Résoudre l'équation
\[
ln(4x-10) - ln(2) = ln(5x-1)
\]
\end{frame}
\begin{frame}{Calcul 4}
Calculer
\[
(2i-3)^2 =
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([3, 4])$.
\[
P(2 < X < 3,3) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'inéquation
\[
e^x > e^{2x-4}
\]
\end{frame}
\begin{frame}{Calcul 3}
\begin{center}
\begin{minipage}{0.7\linewidth}
\begin{algorithm}[H]
\SetAlgoLined
$u \leftarrow 2$ \;
$n \leftarrow 0$ \;
\Tq{$n < 10$}{
$u \leftarrow u*2$ \;
$n \leftarrow n+1$ \;
}
\end{algorithm}
\end{minipage}
\end{center}
Combien vaut $n$ à la fin de cet algorithme?
\end{frame}
\begin{frame}{Calcul 4}
Conjugué de
\[
z = 3 + 4i
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([3, 4])$.
\[
P(2 < X < 10) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Factoriser
\[
2e^{2x} + xe^{2x} =
\]
\end{frame}
\begin{frame}{Calcul 3}
\begin{center}
\begin{minipage}{0.7\linewidth}
\begin{algorithm}[H]
\SetAlgoLined
$u \leftarrow 10$ \;
$n \leftarrow 0$ \;
\Tq{$n < 20$}{
$u \leftarrow u+4$ \;
$n \leftarrow n+1$ \;
}
\end{algorithm}
\end{minipage}
\end{center}
Combien vaut $n$ à la fin de cet algorithme?
\end{frame}
\begin{frame}{Calcul 4}
Conjugué de
\[
z = 5i + 2
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Soit $X$ une variable aléatoire qui suit la loi $\mathcal{U}([700; 900])$.
\[
P(X = 800) =
\]
\end{frame}
\begin{frame}{Calcul 2}
Factoriser
\[
(2x + 1) e^{2x} + xe^{2x} =
\]
\end{frame}
\begin{frame}{Calcul 3}
\begin{center}
\begin{minipage}{0.7\linewidth}
\begin{algorithm}[H]
\SetAlgoLined
$u \leftarrow 100$ \;
$n \leftarrow 0$ \;
\Tq{$u > 20$}{
$u \leftarrow u/4$ \;
$n \leftarrow n+1$ \;
}
\end{algorithm}
\end{minipage}
\end{center}
Combien vaut $n$ à la fin de cet algorithme?
\end{frame}
\begin{frame}{Calcul 4}
Conjugué de
\[
z = 2(-3i + 2)
\]
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Conjugué de
\[
z = (3 + 4i)(i+1)
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'équation
\[
20\times e^{-2x} = 10
\]
\end{frame}
\begin{frame}{Calcul 3}
\begin{center}
\begin{minipage}{0.7\linewidth}
\begin{algorithm}[H]
\SetAlgoLined
$u \leftarrow 2$ \;
$n \leftarrow 0$ \;
\Tq{$\cdots$}{
$u \leftarrow u*2$ \;
$n \leftarrow n+1$ \;
}
\Sortie{n}
\end{algorithm}
\end{minipage}
\end{center}
Compléter l'algorithme pour qu'il trouve le plus petit $n$ tel que $u>50$.
\end{frame}
\begin{frame}{Calcul 4}
Compléter le tableau de signe pour la fonction
\[
f(x) = x^2 + 2x - 3
\]
\begin{center}
\begin{tikzpicture}[baseline=(a.north)]
\tkzTabInit[lgt=2,espcl=2]{$x$/1,$f(x)$/1}{$-\infty$, $\cdots$, $\cdots$, $+\infty$}
\tkzTabLine{, + , z, -, z, +, }
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}

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\documentclass[14pt]{classPres}
\usepackage{tkz-fct}
\usepackage[linesnumbered, boxed, french]{algorithm2e}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\vfill
Tsti2d
\vfill
30 secondes par calcul
\vfill
\small \jobname
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
Conjugué de
\[
z = (i+1)^2
\]
\end{frame}
\begin{frame}{Calcul 2}
Résoudre l'équation
\[
12\times e^{-k} = 24
\]
\end{frame}
\begin{frame}{Calcul 3}
\begin{center}
\begin{minipage}{0.7\linewidth}
\begin{algorithm}[H]
\SetAlgoLined
$u \leftarrow 2$ \;
$n \leftarrow 0$ \;
\Tq{$\cdots$}{
$u \leftarrow u/2$ \;
$n \leftarrow n+1$ \;
}
\Sortie{n}
\end{algorithm}
\end{minipage}
\end{center}
Compléter l'algorithme pour qu'il trouve le plus petit $n$ tel que $u<0.01$.
\end{frame}
\begin{frame}{Calcul 4}
Compléter le tableau de signe pour la fonction
\[
f(x) = x^2 + x - 2
\]
\begin{center}
\begin{tikzpicture}[baseline=(a.north)]
\tkzTabInit[lgt=2,espcl=2]{$x$/1,$f(x)$/1}{$-\infty$, $\cdots$, $\cdots$, $+\infty$}
\tkzTabLine{, + , z, -, z, +, }
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Fin}
\begin{center}
On retourne son papier.
\end{center}
\end{frame}
\end{document}