notes DST + calcul mental
authorDenise sur Titasmo <denise.maurice@normalesup.org>
Thu, 2 Jun 2016 09:06:49 +0000 (11:06 +0200)
committerDenise sur Titasmo <denise.maurice@normalesup.org>
Thu, 2 Jun 2016 09:06:49 +0000 (11:06 +0200)
1ere/calcul_mental/derivee4.pdf [new file with mode: 0644]
1ere/calcul_mental/derivee4.tex [new file with mode: 0644]
1ere/calcul_mental/modele2.pdf [new file with mode: 0644]
1ere/calcul_mental/modele2.tex [new file with mode: 0644]
2nde/DST_8/notes.ods [new file with mode: 0644]

diff --git a/1ere/calcul_mental/derivee4.pdf b/1ere/calcul_mental/derivee4.pdf
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diff --git a/1ere/calcul_mental/derivee4.tex b/1ere/calcul_mental/derivee4.tex
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+\input{../../header_beamer.tex}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Dérivées}
+
+\newcommand\consigne{Calculer la dérivée des fonctions suivantes
+
+\bigskip}
+\newcommand\qa{$f(x) = 3x^2 + 8$}
+\newcommand\ra{$f'(x) = 6x$}
+\newcommand\qb{$f(x) = 5x^5 + 4x^4 + 3x^3 + 2x^2 + x$}
+\newcommand\rb{$f'(x) = 25x^4 + 16x^3 + 9x^2 + 4x + 1$}
+\newcommand\qc{$f(x) = \frac{8}{x} + \sqrt x$}
+\newcommand\rc{$f'(x) = -\frac{8}{x^2} + \frac{1}{2\sqrt x}$}
+\newcommand\qd{$f(x) = x \times \sqrt x$}
+\newcommand\rd{$u(x) = x ; u'(x) = 1 $\\$v(x) = \sqrt x ; v'(x) = \frac{1}{2 \sqrt x}$\\
+$f'(x) = \sqrt x + \frac{x}{2\sqrt x} = \sqrt x + \frac{\sqrt x}{2} = \frac{3}{2} \sqrt x$}
+\newcommand\qe{$f(x) = \frac{x}{2x+1}$}
+\newcommand\re{$u(x) = x ; u'(x) = 1 $\\$ v(x) = 2x+1 ; v'(x) = 2$\\
+$f'(x) = \frac{2x+1 - x \times 2}{(2x+1)^2} = \frac{1}{(2x+1)^2}$}
+
+%%%%%%%%%%%%%%%
+
+
+\begin{document}
+\slide{\titre
+
+\pause
+
+\bigskip
+
+\consigne}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\item \qa
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{1}
+\item \qb
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{2}
+\item \qc
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{3}
+\item \qd
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{4}
+\item \qe
+\end{enumerate}
+}
+
+\slide{\consigne
+\begin{enumerate}[1)]
+\item \qa~\reponse{2}{\ra}
+\item \qb~\reponse{3}{\rb}
+\item \qc~\reponse{4}{\rc}
+\item \qd~\reponse{5}{\rd}
+\item \qe~\reponse{6}{\re}
+\end{enumerate}
+
+
+}
+\end{document}
diff --git a/1ere/calcul_mental/modele2.pdf b/1ere/calcul_mental/modele2.pdf
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diff --git a/1ere/calcul_mental/modele2.tex b/1ere/calcul_mental/modele2.tex
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+\input{../../header_beamer.tex}
+
+\newcounter{questionnum}
+\newcounter{reponsenum}
+\setcounter{questionnum}{0}
+\setcounter{reponsenum}{2}
+\def\questions{}
+\def\reponses{}
+
+\newcommand\addqr[2]{
+\expandafter\def\expandafter\questions\expandafter{\questions
+    \slide{\consigne
+
+      \begin{enumerate}[1)]
+        \setcounter{enumi}{\arabic{questionnum}}
+        \item #1
+      \end{enumerate}
+    }
+    \addtocounter{questionnum}{1}
+  }
+\expandafter\def\expandafter\reponses\expandafter{\reponses
+  \item #1~\reponse{\arabic{reponsenum}}{#2}\addtocounter{reponsenum}{1}
+}
+}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Dérivées}
+
+\newcommand\consigne{Calculer la dérivée des fonctions suivantes
+
+\bigskip}
+\addqr{$f(x) = x^2 + 1$}{$f'(x) = 2x$}
+\addqr{$f(x) = 5x^3$}{$f'(x) = 15x^2$}
+\addqr{$f(x) = \frac{1}{x} + 2x + 1$}{$f'(x) = -\frac{1}{x^2} + 2$}
+\addqr{$f(x) = x^2 + x + 1$}{$f'(x) = 2x + 1$}
+\addqr{$f(x) = 3x^3 + 2x^2 + x + \sqrt 2$}{$f'(x) = 9x^2 + 4x + 1$}
+
+%%%%%%%%%%%%%%%
+
+
+\begin{document}
+\slide{\titre
+
+\pause
+
+\bigskip
+
+\consigne}
+
+\questions
+\slide{\consigne
+\begin{enumerate}[1)]
+\reponses
+\end{enumerate}
+}
+\end{document}
+
+\slide{\consigne
+\begin{enumerate}[1)]
+\item \qa~\reponse{2}{\ra}
+\item \qb~\reponse{3}{\rb}
+\item \qc~\reponse{4}{\rc}
+\item \qd~\reponse{5}{\rd}
+\item \qe~\reponse{6}{\re}
+\end{enumerate}
+
+
+}
+\end{document}
diff --git a/2nde/DST_8/notes.ods b/2nde/DST_8/notes.ods
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