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\textbf{Donc} $A = B$ quelque soit la valeur de $x$ + + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + % Proportion + Dans un lycée, 20\% des élèves sont en première. Parmi les premières, 60\% en voie générale. + \vfill + Quelle est la proportion d'élèves de première en voie générale dans l'ensemble du lycée? + + \vfill +\end{frame} + +\begin{frame}{Calcul 3} + % Equation graphique + Déterminer graphiquement $f(x) \leq 1$ + \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, 2) + (-4, 3) + (-3, 2) + (-2, 3) + (-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}{0.4\linewidth} + Déterminer deux vecteurs égaux à : + \[\vect{FC} + \] + \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} diff --git a/2nd/Questions_flashs/P2/QF_S49-3.pdf b/2nd/Questions_flashs/P2/QF_S49-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..6c7875d748218edc66d17b8b48993cc2e53c95a7 GIT binary patch literal 31787 zcmce-1GFXEvNpJF+qP}nwr$(2ZQHhu+O}=fR&CqXU+4XJr~BQ${YLk=H^*4Ha?F{T zGh?lY_#z{|AXN|%qh+LHg(96=?q3>Sn;RN|Vq_p-Ah0*Gg5u#JpjYv9FeRYZkT}W)}zm{1fm7%GA!}f6e?k`bz*t=0CUoH%h|tuakuJ z-zy2*zfKbNf3GAQ|1wFK{=M48^smz{roaB~f1jN&{iOo`8jEM*{I^QN{Fk@;*GR(5 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Logique + % Logique + + Dire si oui ou non ce raisonnement est correct (logique). + + \vfill + + \textbf{On sait que} $A = 2x + 4$ et $B = 2(x+2)$ + \bigskip + + \textbf{Or} $2(x + 2) = 2\times x + 2 \times 2 = 2x + 4$ + \bigskip + + \textbf{Donc} $A = B$ quelque soit la valeur de $x$ + + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + % Proportion + Dans une ville, 10\% des bâtiments sont dédiés au commerce. Parmi ces derniers, 70\% sont des magasins de nourriture. + \vfill + Calculer la proportion de magasin de nourriture dans cette ville. + \vfill +\end{frame} + +\begin{frame}{Calcul 3} + % Equation graphique + Déterminer graphiquement $f(x) = 1$ + \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, 1) + (-2, 3) + (-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}{0.4\linewidth} + Déterminer deux vecteurs égaux à : + \[ + \vect{EF} + \] + \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} diff --git a/2nd/Questions_flashs/P2/QF_S49-4.pdf b/2nd/Questions_flashs/P2/QF_S49-4.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e17e720aa7bbdc829ead00130b455d293e591c9c GIT binary patch literal 35803 zcmce-1F&q(ngw|8v2EM7&3kOywr$>H+qP}nwrz9n|9ZOnpXoO}9W(K|B5K!;%&Oe= zMdr$HWv-RPvO*%%^fb&6#1o6X3xg{&149t>ba-@lHu~leTwHjxif*<>c(kfA`sPLk zj(D^RPWq1jC=s!-x5A_S>-vvx(Bshx2-vvdY5e&q9UeX1zrD5aXr=TV?alrwr~kK_ 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diff --git a/2nd/Questions_flashs/P2/QF_S49-4.tex b/2nd/Questions_flashs/P2/QF_S49-4.tex new file mode 100755 index 0000000..26333b0 --- /dev/null +++ b/2nd/Questions_flashs/P2/QF_S49-4.tex @@ -0,0 +1,113 @@ +\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} + % Logique + + Dire si oui ou non ce raisonnement est correct (logique). + + \vfill + + + \textbf{On sait que} $f(x) = (x+1)^2$ et que $g(x) = x^2 +2x +1$ + + \vfill + + \textbf{Or} + \begin{itemize} + \item $f(2) = 9$ et $g(2) = 9$ + \item $f(10) = 121$ et $g(10) = 121$ + \end{itemize} + + \vfill + + \textbf{Donc} $f(x) = g(x)$ quelque soit la valeur de $x$ + + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + % Proportion + Dans une boite de jouets, 70\% sont sur le thème des chevaliers. Parmi les jouets chevaliers, 5\% sont épées moyenâgeuses. + \vfill + Calculer la proportion d'épées moyenâgeuses dans cette boite à jouets. + \vfill +\end{frame} + +\begin{frame}{Calcul 3} + % Equation graphique + Déterminer graphiquement $f(x) \leq 0$ + \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, 0) + (-3, -1) + (-2, -1) + (-1, 0) + (0, 1) + (1, 2) + (2, 1) + (3, 2) + (4, 3) + (5, 4) + }; + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Calcul 4} + % Vecteurs + \begin{minipage}{0.4\linewidth} + Déterminer deux vecteurs égaux à : + \[ + \vect{CB} + \] + \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}