From 13537b10451defc7f31158e951e7be41955e9c03 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Wed, 24 Aug 2022 09:35:34 +0200 Subject: [PATCH] =?UTF-8?q?Feat:=20ajoute=20les=20exercices=20de=20mod?= =?UTF-8?q?=C3=A9lisation=20et=20le=20projet?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../exercises.tex | 83 +++++++++++++++++- .../plan_de_travail.pdf | Bin 20808 -> 26443 bytes 2 files changed, 82 insertions(+), 1 deletion(-) diff --git a/1ST/02_Generalites_sur_les_fonctions/exercises.tex b/1ST/02_Generalites_sur_les_fonctions/exercises.tex index 1c11656..3483dd4 100644 --- a/1ST/02_Generalites_sur_les_fonctions/exercises.tex +++ b/1ST/02_Generalites_sur_les_fonctions/exercises.tex @@ -1,4 +1,4 @@ -\begin{exercise}[subtitle={Salaires}, step={1}, origin={Ma tête}, topics={ Généralités sur les fonctions }, tags={ Analyse, Fonctions }] +\begin{exercise}[subtitle={Salaires}, step={1}, origin={Ma tête}, topics={ Généralités sur les fonctions }, tags={ Analyse, Fonctions }, mode={\searchMode}] Jean, Faïza, Bob et Rachelle travaillent pour un revendeur de fleurs qui les achète au kilo. Ils ne sont pas rémunéré de la même manière. \begin{itemize} \item Jean n'a pas de salaire fixe mais a une prime de 9\euro par kilo de fleurs. @@ -8,3 +8,84 @@ \end{itemize} Qui est le mieux payé? \end{exercise} + + +% Modélisation avec des fonctions +\begin{exercise}[subtitle={Cinéma}, step={2}, origin={Ma tête}, topics={ Généralités sur les fonctions }, tags={ Analyse, Fonctions }] + Un cinéma propose trois façon d'acheter des places. + \begin{enumerate}[label=\textbf{Prix \arabic*}] + \item : 10\euro la place + \item : abonnement mensuel de 100\euro pour avoir un accès libre aux séances + \item : abonnement mensuel de 40\euro puis chaque place coute 5\euro + \end{enumerate} + + \begin{enumerate} + \item Déterminer la fonction qui transforme le nombre de places achetées sur un mois en le cout pour chacune de ces formules. + \item Pour chacune des fonctions construites, déterminer l'ensemble de définition ainsi que la nature de la fonction. + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Géométrie variable}, step={2}, origin={Ma tête}, topics={ Généralités sur les fonctions }, tags={ Analyse, Fonctions }] + \begin{enumerate} + \item Pour chacune des figure déterminer la fonction aire qui transforment la longueur notée $x$ en l'aire de la figure et la fonction périmètre. + \begin{multicols}{3} + \begin{tikzpicture}[scale=0.7] + \draw + (-2,0) -- node [midway, left] {$x$} + (-2,-3) -- + (3,-3) -- + (3,0) -- node[midway, above]{$4$} + cycle; + \end{tikzpicture} + + \begin{tikzpicture}[scale=0.7] + \draw (0,0) -- node[midway, left] {$x$} + (0, 3) -- node [midway, above] {$2$} + (2, 3) node[rotate=90] {-} -- node [midway, above]{$x$} + (5, 3) -- + (5, 0) -- + cycle; + \end{tikzpicture} + + \begin{tikzpicture}[scale=0.7] + \draw (0,0) -- node[midway, left] {$x$} + (0, 2) node {-} -- node [midway, left] {$1$} + (0, 3) -- node [midway, above] {$x$} + (2, 3) node[rotate=90] {-} -- node [midway, above]{$5$} + (5, 3) -- + (5, 0) -- + cycle; + \end{tikzpicture} + \end{multicols} + \item Déterminer la fonction qui calcule le volume de ce pavé à partir du côté de longueur $x$ + + \begin{center} + \begin{tikzpicture}[every edge quotes/.append style={auto}] + \pgfmathsetmacro{\cubex}{5} + \pgfmathsetmacro{\cubey}{1} + \pgfmathsetmacro{\cubez}{3} + \draw [draw=black, every edge/.append style={draw=black, densely dashed, opacity=.5}] + (0,0,0) coordinate (o) -- ++(-\cubex,0,0) coordinate (a) -- ++(0,-\cubey,0) coordinate (b) edge coordinate [pos=1] (g) ++(0,0,-\cubez) -- ++(\cubex,0,0) coordinate (c) -- cycle + (o) -- ++(0,0,-\cubez) coordinate (d) -- ++(0,-\cubey,0) coordinate (e) edge (g) -- (c) -- cycle + (o) -- (a) -- ++(0,0,-\cubez) coordinate (f) edge (g) -- (d) -- cycle; + \path [every edge/.append style={draw=black, |-|}] + (b) +(0,-5pt) coordinate (b1) edge ["10"'] (b1 -| c) + (b) +(-5pt,0) coordinate (b2) edge ["5"] (b2 |- a) + (c) +(3.5pt,-3.5pt) coordinate (c2) edge ["x"'] ([xshift=3.5pt,yshift=-3.5pt]e) + ; + \end{tikzpicture} + \end{center} + \end{enumerate} +\end{exercise} + +% Lectures graphiques et (in)équations + +% Tableau de signes et de variations + +% Tache complexe + +\begin{exercise}[subtitle={Bassin de baignade}, step={5}, origin={Ma tête}, topics={ Généralités sur les fonctions }, tags={ Analyse, Fonctions }, mode={\projectMode}] + Un maitre nageur a en charge de sécuriser une zone de baignade sur une partie de la plage droite. Pour cela, il a une corde de 195m, deux points d'attache mobiles sur la plage et deux bouées. + + Proposer une façon de disposer ces éléments pour que la zone soit la plus grande possible. +\end{exercise} diff --git a/1ST/02_Generalites_sur_les_fonctions/plan_de_travail.pdf b/1ST/02_Generalites_sur_les_fonctions/plan_de_travail.pdf index d22ff84fd32acd6d56cfaed78d5eb048dba51bfa..6a7616e6771ff732bf71cfd650c7010d4d3d7616 100644 GIT binary patch delta 23841 zcmZs?18iVH!~R>_Znw7Wt#@nNwr!l+wry^0w_9y(Zf)DW`+na)H@Wx!PBNL3$(+ed z&Xb({o@ZvX5OiV+^jA0(7zcBbgD4hop~`Q+&Wy78K=%wiek~vg769@+0^CKqfMHaH zJcpJ23m8=_wpdLKFk=7{CKlZyxZ3g-hkP1=eButin*~1-V)QTs{f3qp|MqM1B1b=N z&=1cJNs*u-jt0tce%%1-(SLA1VsSXzC;7P4{mJJWSSgAd4}`#i;^?8pRd+Y={Vf%B zz;=D_2HNQbtwlZRp@DV%Y%O#TM$6_$%+#>B)CM!Y0 zguBgS=kE6&89{YsDHXZUM6~!v$KQ_L6aGHwp}p9n6ps+ce!a-1y40SM`$NV?PdBGq zp=FB|pkz@YKm9dCii(3D7A|T4OkWUzD4~r)`9}FlcwYn2Bv9$O`~aW7B!h7GeuDEW zYW)V_7Gya>uFf+}o}5)9>AEJj)eYIYQ@ZHPNgY|D1u1i+fn+Q#NW+g3do&d(_sv6Q 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