Import all

1ST/Questions_Flash/Spe/QF_19_11_15.tex

@@ -0,0 +1,77 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Calculer
+
+    \[
+        A = 2i - 4 + 5i + i^2
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = 2i(4i-2)
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Mesure en \textbf{radian} de l'angle $(\vec{OI}; \vec{OA})$
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,45,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            \draw (135:1)  node [above left] {A}; 
+            \draw (0,0) -- (135:1);
+            \draw[->, very thick, red] (0.5,0) arc (0:135:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Convertir en radian
+
+    \[
+        \theta = 120^{o} = 
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Valeur de $\cos (\dfrac{\pi}{6})$
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+        \end{tikzpicture}
+    \end{center}
+
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_19_11_22.tex

@@ -0,0 +1,76 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Calculer
+
+    \[
+        A = 2i \times i - 4 + 5i + 2i^2
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = 5i(6i-4)
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Mesure en \textbf{radian} de l'angle $(\vec{OI}; \vec{OA})$
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            \draw (0,0) -- (120:1) node [above left] {A};
+            \draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Valeur de $\cos (\dfrac{3\pi}{4})$
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ A (2; 5) \qquad \qquad B(-4; 3) \]
+    Calculer les coordonnées du vecteur
+    \[
+        \vec{AB} = 
+    \]
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_19_12-13.tex

@@ -0,0 +1,81 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Le conjugué de 
+
+    \[
+        z = 7i - 11
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = (10i+1)(6i-4)
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Valeur de 
+    \[
+        \sin(\frac{2\pi}{3})
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Soit $||\vec{u}|| = 2$, $||\vec{v}||=5$ et l'angle $(\vec{u};\vec{v})$ qui vaut $\frac{\pi}{3}$.
+
+    Calculer
+    \vfill
+    \[
+        \vec{u}.\vec{v} = 
+    \]
+    \vfill
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ A (2; 5) \qquad \qquad B(-4; 3) \]
+    Calculer les coordonnées du vecteur
+    \[
+        \vec{AB} = 
+    \]
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_20_01_10.tex

@@ -0,0 +1,88 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Le conjugué de 
+
+    \[
+        z = 5i+1
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = (3i+1)(i-2)
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Valeur de 
+    \[
+        \sin(\frac{-\pi}{3})
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Solutions de 
+    \[
+        \sin(x) = \frac{1}{2}
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ A (2; 5) \qquad \qquad B(-4; 3) \]
+    Calculer les coordonnées du vecteur
+    \[
+        \vec{AB} = 
+    \]
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_20_01_17.tex

@@ -0,0 +1,95 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Quelle lettre a pour affixe $z = -4i +2$?
+
+    \begin{center}
+    \begin{tikzpicture}[yscale=.5, xscale=.8]
+        \repere{-5}{5}{-5}{5}
+        \draw (-2, 3) node {$\times$} node[above] {$A$};
+        \draw (2, 3) node {$\times$} node[above] {$B$};
+        \draw (3, 2) node {$\times$} node[above] {$C$};
+        \draw (2, -4) node {$\times$} node[above] {$D$};
+        \draw (-3, -4) node {$\times$} node[above] {$E$};
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = (i-2)^2
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Valeur de 
+    \[
+        \sin(\frac{-2\pi}{3})
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Solutions de 
+    \[
+        \cos(x) = \frac{1}{2}
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ A (2; 5) \qquad \qquad B(-4; 3) \]
+    Calculer les coordonnées du vecteur
+    \[
+        \vec{AB} = 
+    \]
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_20_01_31.tex

@@ -0,0 +1,95 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Quelle est l'affixe de la lettre D?
+
+    \begin{center}
+    \begin{tikzpicture}[yscale=.5, xscale=.8]
+        \repere{-5}{5}{-5}{5}
+        \draw (-2, 3) node {$\times$} node[above] {$A$};
+        \draw (2, 3) node {$\times$} node[above] {$B$};
+        \draw (3, 2) node {$\times$} node[above] {$C$};
+        \draw (2, -4) node {$\times$} node[above] {$D$};
+        \draw (-3, -4) node {$\times$} node[above] {$E$};
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = (5i-2)\times(2-3i)
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Valeur de 
+    \[
+        \sin(\frac{-4\pi}{3})
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Solutions de 
+    \[
+        \sin(x) = -\frac{1}{2}
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ A (2; 5) \qquad \qquad B(-4; 3) \]
+    Calculer les coordonnées du vecteur
+    \[
+        \vec{AB} = 
+    \]
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_20_02_14.tex

@@ -0,0 +1,86 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Quelle est l'affixe de la lettre E?
+
+    \begin{center}
+    \begin{tikzpicture}[yscale=.5, xscale=.8]
+        \repere{-5}{5}{-5}{5}
+        \draw (-2, 3) node {$\times$} node[above] {$A$};
+        \draw (2, 3) node {$\times$} node[above] {$B$};
+        \draw (3, 2) node {$\times$} node[above] {$C$};
+        \draw (2, -4) node {$\times$} node[above] {$D$};
+        \draw (-3, -4) node {$\times$} node[above] {$E$};
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Calculer
+
+    \[
+        B = \frac{2i+1}{i+1}
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Solutions de 
+    \[
+        \sin(x) = -\frac{\sqrt{3}}{2}
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Soient
+    \[ \vec{u} = \vectCoord{2}{3} \qquad \qquad \vec{v} = \vectCoord{-2}{2} \]
+    Calculer
+    \[
+        \vec{u}.\vec{v} = 
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Soient
+    \[ \vec{u} = \vectCoord{-1}{3} \qquad \qquad \vec{v} = \vectCoord{-3}{-1} \]
+    \vfill
+    Est-ce que les vecteurs $\vec{u}$ et $\vec{v}$ sont orthogonaux?
+    \vfill
+
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

1ST/Questions_Flash/Spe/QF_20_02_21.tex

@@ -0,0 +1,90 @@
+\documentclass[12pt]{classPres}
+%\usepackage{tkz-fct}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Questions flashs}
+    \begin{center}
+        \vfill
+        Première ST sti2d
+        \vfill
+        30 secondes par calcul
+        \vfill
+        \tiny \jobname
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    Soient
+    \[ \vec{u} = \vectCoord{-2}{0.5} \qquad \qquad \vec{v} = \vectCoord{6}{24} \]
+    \vfill
+    Est-ce que les vecteurs $\vec{u}$ et $\vec{v}$ sont orthogonaux?
+    \vfill
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    Mesure de $BA$
+
+    \begin{center}
+    \begin{tikzpicture}
+        \draw (0, 0) node [below left] {$O$}%
+            -- (4, 0) node [midway, below] {$5$} node [below right] {$A$} %
+            -- (3, 2) node [above] {$B$} 
+            -- cycle node [midway, above, sloped] {$2$};
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    Solutions de 
+    \[
+        \cos(x) = -\frac{\sqrt{3}}{2}
+    \]
+    \begin{center}
+        \begin{tikzpicture}[scale=3]
+            \cercleTrigo
+            \foreach \x in {0,30,...,360} {
+                % dots at each point
+                \filldraw[black] (\x:1cm) circle(0.6pt);
+            }
+            %\draw (0,0) -- (120:1) node [above left] {A};
+            %\draw[->, very thick, red] (0.5,0) arc (0:120:0.5) ; 
+        \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    Quelle est l'affixe de la lettre D?
+
+    \begin{center}
+    \begin{tikzpicture}[yscale=.5, xscale=.8]
+        \repere{-5}{5}{-5}{5}
+        \draw (-2, 3) node {$\times$} node[above] {$A$};
+        \draw (2, 3) node {$\times$} node[above] {$B$};
+        \draw (3, 2) node {$\times$} node[above] {$C$};
+        \draw (2, -4) node {$\times$} node[above] {$D$};
+        \draw (-3, -4) node {$\times$} node[above] {$E$};
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 5}
+    Calculer
+
+    \[
+        B = \frac{-i+2}{1+2i}
+    \]
+
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}