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z#VudeV2>IDt23t|YR6nKH{Bi{&DkJ^tq44C9V{r;073NLfVbBq=ZqmtDO0e>j8fhvDR6W#@(= KCl^x?hxuRrH^V^y diff --git a/EnseignementsScientifique/01_Evolution_et_démographie/3E_maltus.tex b/EnseignementsScientifique/01_Evolution_et_démographie/3E_maltus.tex index ff3af86..214cb5b 100644 --- a/EnseignementsScientifique/01_Evolution_et_démographie/3E_maltus.tex +++ b/EnseignementsScientifique/01_Evolution_et_démographie/3E_maltus.tex @@ -3,14 +3,14 @@ \author{Benjamin Bertrand} \title{Dérivation - exercices} -\date{septembre 2020} +\date{septembre 2021} \pagestyle{empty} -\DeclareExerciseCollection{banque} +\DeclareExerciseCollection[step=3]{banque} \xsimsetup{ - step=3, - exercise/the-counter=2 + collect, + exercise/the-counter=3 } \begin{document} diff --git a/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.pdf b/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.pdf index f0ccfe0960dde18aaa20c331d61187218a0f8cc1..96eeb2eb4276ce2a78a55cfdb9af536fdc2bc7b1 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a/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.tex b/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.tex index 4975a2d..daf4f5d 100644 --- a/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.tex +++ b/EnseignementsScientifique/01_Evolution_et_démographie/4E_transition_demo.tex @@ -3,14 +3,14 @@ \author{Benjamin Bertrand} \title{Dérivation - exercices} -\date{septembre 2020} +\date{septembre 2021} \thispagestyle{empty} -\DeclareExerciseCollection{banque} +\DeclareExerciseCollection[step=4]{banque} \xsimsetup{ - step=4, - exercise/the-counter=3 + collect, + exercise/the-counter=4 } \begin{document} @@ -18,4 +18,5 @@ \renewcommand{\arraystretch}{1} \input{exercises.tex} \printcollection{banque} + \end{document} diff --git a/EnseignementsScientifique/01_Evolution_et_démographie/exercises.tex b/EnseignementsScientifique/01_Evolution_et_démographie/exercises.tex index c5e2fc2..ba6fc69 100644 --- a/EnseignementsScientifique/01_Evolution_et_démographie/exercises.tex +++ b/EnseignementsScientifique/01_Evolution_et_démographie/exercises.tex @@ -1,4 +1,3 @@ -\collectexercises{banque} \begin{exercise}[subtitle={Malthus}, step={3}, origin={LeLivreScolaire}, topics={Biodiversite Evolution}, tags={Suite, Modélisation}] \noindent \begin{minipage}{0.49\textwidth} @@ -13,7 +12,6 @@ \item En dessinant des représentations graphiques de suites à main levée, expliquer le problème que prédit Malthus à la Grande-Bretagne. \item Expliquer comment Verhulst améliore le modèle de Malthus. \end{enumerate} - \end{minipage} \hfill \begin{minipage}{0.49\textwidth} @@ -25,9 +23,9 @@ \end{center} \end{bclogo} \end{minipage} - \end{exercise} + \begin{exercise}[subtitle={Transition Démographique}, step={4}, origin={Créatoin et Le libre scolaire}, topics={Biodiversite Evolution}, tags={Suite, Modélisation}] \setlength{\columnseprule}{0pt} \begin{multicols}{2} @@ -53,17 +51,17 @@ \node[roundnode] (centerterm) [right=of leftterme] {\makebox[0.5cm]{}}; %Lines - \path[->] (leftterme.east) edge [bend left] node [above] {$\times q$} node [below] {$+t\%$} (centerterm.west); + \path[->] (leftterme) edge [bend left] node [above] {$\times CM$} node [below] {$+t$} (centerterm); \end{tikzpicture} \end{minipage} \begin{minipage}{0.5\linewidth} - $q$: coefficient multiplicateur + $CM$: coefficient multiplicateur $t$: taux d'accroissement \end{minipage} \begin{center} - $q = 1 + t \qquad \qquad t = q-1$ + $CM = 1 + t \qquad \qquad t = CM-1$ \bigskip avec \qquad t\% $= \frac{t}{100}$ \qquad t \textperthousand $= \frac{t}{1000}$ @@ -99,7 +97,6 @@ \item Compléter le tableau concernant l'étude démographique de l'Afrique du sud. \item Identifier la phase 1 puis la phase 2 de la transition démographique de l'Afrique du Sud. \item Sachant qu'en 1950, l'Afrique du sud comptait \np{1368300} habitants. Calculer la population en 1955 puis en 2010. - \item D'après le travail effectué, préparer un bilan sur la transition démographique d'un point de vue mathématique et démographique. + \item D'après le travail effectué, faire un bilan sur la transition démographique de l'Afrique du sud. \end{enumerate} \end{exercise} -\collectexercisesstop{banque} diff --git a/EnseignementsScientifique/01_Evolution_et_démographie/fig/logistique.png b/EnseignementsScientifique/01_Evolution_et_démographie/fig/logistique.png new file mode 100644 index 0000000000000000000000000000000000000000..3adbdaf798c3512a4391e922373de30d48eb93de GIT binary patch literal 67092 zcmcG$cQ}>*A3uKEBAe{!REQASI~`PHo@1{N*?X@;$tFq2=4~CD>~$o2B`dPB_d3=w zzqj=H{;uEuzu$dbuG@8c?bmZY9SdA_gJ=07#xcgQ^1nF8C`p10g>6YC=du z!PgCkXFARRpk96TgO#FBrU`zecahU}(Xcmnaew9X8gO@a=drZ2b~b(G@S4Zo$s%b> zf&l-YTj)N_8F()skubxiMa$qIu9%9L5C@ru*N(4ZLjd zI#}b*?vD)l`*cS$Wgj`Nt*x2sS+k2pEx}Tlqvmb28@&#ueYi$OMk4VYK37)#baXM| 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