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+ +\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 + \[ + f(x) = 0.1x - 12x^2 + 2 + \] +\end{frame} + +\begin{frame}{Calcul 2} + % tableau signe et variations + On a fait le calcul suivant + \[ + f'(x) \geq 0 \qquad \cdots \qquad x \geq 10 + \] + \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 $P(\mbox{avoir 2 } C \mbox{ et un} \overline{C})$ + \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 50\% par an. En 2020, elle produisait \np{10 000} tonnes. + \vfill + Quels seront ses emissions en 2023. + \vfill +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/1ST/Questions_flashs/P4/QF_S08-3.pdf b/1ST/Questions_flashs/P4/QF_S08-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..921bd82161bca81e487e7caf40e18187cc6d6128 GIT binary patch literal 33197 zcmce;1CXrCwl&(eZQHhcwQbwBZ5ylIt8Lp@ZQH%tw%z^KzW1HG_aArP^KSev&Z&s1 z%J{M>znGOda?CO3%p#TlCQ8dl#|lL{vDmjTxH2;^1jWcez(8PUXbHu`LqMj7MC}}H2E7a z%?TJ;3HbO3{_%iva&|N^uz_-4n}?s0rN~3Vf)uv!v62IgyUak3DduKbus9 zcK;enn3?{)mi)1p|3#Mk|3*AB8xtJ|Gb;fzD;*0nGr|9gR+#^Fz-Rj_LH;w^;$-+M zZ~aMIi)!Px*o-ipZ`Aj|3L;&g7+{JVl<`_PTah`@WV{QsSyFyI!WLyZ>rusmYmJQh z<5&qOoFqj$1$fB{_-Kd5B+Bvq|LNhW2q<1N`SUQYntXAxlJRfc$0)3Us)WGuLl+hO%H-)i^TI2V)VwM1l zg751pEV#HV6lf!6P(;osE4+JU^w_D?H;gbmdO-##eBXy+);}DP;`%uWGh#$CKoUOh 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xWmb}LKHcVv_Un4`6No^?3-bT}Uw3fSvv+j0H!_A~pl76Kfg~alk`adde*mDgCL;g< literal 0 HcmV?d00001 diff --git a/1ST/Questions_flashs/P4/QF_S08-3.tex b/1ST/Questions_flashs/P4/QF_S08-3.tex new file mode 100755 index 0000000..9acfb89 --- /dev/null +++ b/1ST/Questions_flashs/P4/QF_S08-3.tex @@ -0,0 +1,139 @@ +\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}