From ab6dac6d568894f0776563c3877dc21365dfe5dd Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 13 Oct 2020 11:14:59 +0200 Subject: [PATCH 1/2] =?UTF-8?q?Feat:=20=C3=A9tape=202=20et=203=20sur=20la?= =?UTF-8?q?=20formalisation=20des=20suites=20avec=20bilan?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../1E_formalisation.pdf | Bin 70168 -> 70205 bytes .../2B_moyennes.pdf | Bin 0 -> 48962 bytes .../2B_moyennes.tex | 44 ++++++++++++ .../2E_moyennes.pdf | Bin 0 -> 45676 bytes .../2E_moyennes.tex | 46 ++++++++++++ .../2E_technique.pdf | Bin 59501 -> 0 bytes .../3E_technique.pdf | Bin 0 -> 62848 bytes .../{2E_technique.tex => 3E_technique.tex} | 4 +- TST/04_Formalisation_des_suites/CA.ods | Bin 0 -> 20845 bytes TST/04_Formalisation_des_suites/exercises.tex | 67 +++++++++++++----- .../fig/CA_expo.png | Bin 0 -> 10844 bytes .../fig/CA_lineaire.png | Bin 0 -> 9791 bytes TST/04_Formalisation_des_suites/index.rst | 15 +++- 13 files changed, 151 insertions(+), 25 deletions(-) create mode 100644 TST/04_Formalisation_des_suites/2B_moyennes.pdf create mode 100644 TST/04_Formalisation_des_suites/2B_moyennes.tex create mode 100644 TST/04_Formalisation_des_suites/2E_moyennes.pdf create mode 100644 TST/04_Formalisation_des_suites/2E_moyennes.tex delete mode 100644 TST/04_Formalisation_des_suites/2E_technique.pdf create mode 100644 TST/04_Formalisation_des_suites/3E_technique.pdf rename TST/04_Formalisation_des_suites/{2E_technique.tex => 3E_technique.tex} (88%) create mode 100644 TST/04_Formalisation_des_suites/CA.ods create mode 100644 TST/04_Formalisation_des_suites/fig/CA_expo.png create mode 100644 TST/04_Formalisation_des_suites/fig/CA_lineaire.png diff --git a/TST/04_Formalisation_des_suites/1E_formalisation.pdf b/TST/04_Formalisation_des_suites/1E_formalisation.pdf index d6d44c10a9e9637fedd1bec2ee19fd0bc2a84a78..191e306d153230c1f86f1358410c6765826e5bc5 100644 GIT binary patch delta 6564 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b/TST/04_Formalisation_des_suites/2B_moyennes.tex @@ -0,0 +1,44 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Formalisation des suites - Cours} +\date{août 2020} + +\pagestyle{empty} + +\begin{document} + +\maketitle + + +\subsection*{Définitions des moyennes} +\begin{multicols}{2} + \begin{center} + \large{\textbf{Moyenne Arithmétique}} + \end{center} + + La moyenne \textbf{arithmétique} de deux nombres $a$ et $b$ est + \[ + \frac{a+b}{2} + \] + + + \begin{center} + \large{\textbf{Moyenne Géométrique}} + \end{center} + + La moyenne \textbf{géométrique} de deux nombres $a$ et $b$ est + \[ + \sqrt{a\times b} = (a \times b)^{\frac{1}{2}} + \] +\end{multicols} +\subsubsection*{Exemples} +\afaire{} +\begin{itemize} + \item Calculer la moyenne arithmétique de 5 et 10. + \vspace{3cm} + \item Calculer la moyenne géométrique de 7 et 20. + \vspace{3cm} +\end{itemize} +\end{document} diff --git 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+\DeclareExerciseCollection{banque} +\xsimsetup{ + step=2, +} + +\pagestyle{empty} + +\begin{document} + +\input{exercises.tex} +\printcollection{banque} +\vfill +\printcollection{banque} +\vfill +\printcollection{banque} +\vfill +\printcollection{banque} +\vfill + +\pagebreak + +\newcommand\couppouce{% + \vfill +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Coups de pouce} + \begin{itemize} + \item Les chiffres d'affaires peuvent être modélisé avec une suite dont vous pouvez déterminer la nature. + \item Pour la première entreprise, les chiffres d'affaires de 2017 et 2019 se trouvent au milieu des valeurs qui les entoures. + \item Pour la deuxième entreprise, les chiffres d'affaires de 2017 et 2019 ne se trouvent pas au milieu des valeurs qui les entoures car on multiplie pour passer d'une valeur à la suivante. + \end{itemize} +\end{bclogo} +} +\couppouce +\couppouce +\couppouce +\couppouce +\couppouce +\couppouce +\couppouce +\end{document} diff --git 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Le banquier propose deux solutions. - - \begin{itemize} - \item Placement à rendement fixe: la valeur du compte en banque augmente de 5\% du placement initiale chaque année. - \item Placement avec intérêt composés: la valeur du compte en banque augmente de 4\% chaque année. - \end{itemize} - - \begin{enumerate} - \item Pour chaque placement, calculer le solde du compte après 1an, 2ans puis 3ans. - \item Combien de temps doit-on attendre avant que le placement avec intérêt composés devienne plus rentable que l'autre placement? - \end{enumerate} -\end{exercise} - \begin{exercise}[subtitle={Dépréciation d'un véhicule}, step={1}, origin={??}, topics={Formalisation des suites}, tags={Suites, Analyse}] Un transporteur a acheté en 2006 un véhicule fourgon de 9 tonnes au prix de \np{50200}\euro, taxes comprises. Compte tenu du nombre de kilomètres parcourus, le véhicule a perdu 20\% de sa valeur chaque année. @@ -50,7 +36,50 @@ \end{enumerate} \end{exercise} -\begin{exercise}[subtitle={Évaluation de suites}, step={2}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] +\begin{exercise}[subtitle={Placement banquaire}, step={1}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] + On veut placer sur un compte en banque 1000\euro. Le banquier propose deux solutions. + + \begin{itemize} + \item Placement à rendement fixe: la valeur du compte en banque augmente de 5\% du placement initiale chaque année. + \item Placement avec intérêt composés: la valeur du compte en banque augmente de 4\% chaque année. + \end{itemize} + + \begin{enumerate} + \item Pour chaque placement, calculer le solde du compte après 1an, 2ans puis 3ans. + \item Combien de temps doit-on attendre avant que le placement avec intérêt composés devienne plus rentable que l'autre placement? + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Chiffre d'afaire}, step={2}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] + Deux entreprises viennent demander conseil à TST-consulting. Elles ont apporté un graphique suivant représentant leur chiffre d'affaire (en milliers d'euros) des années précédentes. Elles souhaites que vous lui fassiez une estimation de leur chiffre d'affaire en 2022 et que vous les aidiez à retrouver leur chiffre d'affaire en 2017 et 2019. + + \includegraphics[scale=0.5]{./fig/CA_lineaire} + \hfill + \includegraphics[scale=0.5]{./fig/CA_expo} +\end{exercise} + +\begin{exercise}[subtitle={Divers autour des moyennes}, step={3}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] + \begin{enumerate} + \item Calculer la moyenne géométrique des couples de nombres suivants + \begin{multicols}{3} + \begin{enumerate} + \item $a = 3$ et $b = 10$ + \item $a = 15$ et $b = 50$ + \item $a = 2,6$ et $b = 3$ + \end{enumerate} + \end{multicols} + \item (*) Soit $(u_n)$ une suite géométrique dont on connait $u_0 = 1$ et $u_8 = 20$. + \begin{enumerate} + \item Calculer la moyenne géométrique de $u_0$ et $u_8$. Cette valeur est $u_4$. + \item Calculer la moyenne géométrique de $u_0$ et $u_4$. Cette valeur est $u_2$. + \item Calculer $u_1$ et déterminer la raison de cette suite géométrique. + \end{enumerate} + \item (*) Une quantité a augmenté de 10\% en deux ans. Quel a été le taux d'évolution de cette quantité sur un an? + \end{enumerate} + +\end{exercise} + +\begin{exercise}[subtitle={Évaluation de suites}, step={3}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] Pour chacune des suites suivantes, calculer 3 premiers termes, identifier la nature et les paramètres de la suite, écrire la relation de récurrence puis exprimer $u_n$ en fonction de $n$. \begin{multicols}{3} @@ -63,14 +92,14 @@ \item $u_{n} = 2n + 5$ \item $u_{n} = 10\times0.5^n$ - \item $u_{n} = 2u_n-5$ et $u_0 = 10$ - \item $u_{n} = 0.3\times 4^n$ - \item $u_{n} = 2n^2 - n + 2$ + \item (*) $u_{n} = 2u_n-5$ et $u_0 = 10$ + \item (*) $u_{n} = 0.3\times 4^n$ + \item (*) $u_{n} = 2n^2 - n + 2$ \end{enumerate} \end{multicols} \end{exercise} -\begin{exercise}[subtitle={Retrouver ce qui manque}, step={2}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] +\begin{exercise}[subtitle={Retrouver ce qui manque}, step={3}, origin={Création}, topics={Formalisation des suites}, tags={Suites, Analyse}] Pour chacune des suites suivantes retrouver la raison et le premier terme, écrire la relation de récurrence puis exprimer $u_n$ en fonction de $n$. \begin{multicols}{2} \begin{enumerate} diff --git a/TST/04_Formalisation_des_suites/fig/CA_expo.png b/TST/04_Formalisation_des_suites/fig/CA_expo.png new file mode 100644 index 0000000000000000000000000000000000000000..14e03da07e4a0203355394214b04b151f965c6e6 GIT binary patch literal 10844 zcmch71yGgi_pXX!ARr(OBAuIV1eBBxH{EGa(zyXeKw3JayGuGHq`SKt>F)b(&d+l^ z=lt%>|IXZdXTD*WZ`b#(cdchV&$C`HS!q$^2Y3%|+_-@(_EJdx#*LeU;QyU_h~RI` z9z^fP4H{B0p%+lQ=#9zyc9@H!9NYN!ZX&P-lC$aDmqq@1k6ibGaJ>5s$gR*qF$_s6 zAL#Rh0r@YwS+d!S=usugnr~FyKaq!v)4tJ9>m>=yLl1K$DfFfyr$Y~WdU9GjeH6XE z@WnuSDN^6!_$qh(b0pWY{t_RhW%phOZ#RZK6uPg0cH;jC4J{BtdW!D0h5zuuZm+#O zVBoUdjAk{RQ0BH?Bg3GS4j~rwu#2-2eQ)!~>?Uy1~_mzP(dlBT^dItB)$ 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zomEGnW%ui+ocBGQ=f6Etn)mb_1a)X!etFs8EtoxgWmL%^RzE+>(;;#`EZ}RrAh{9-zEi=8ePS>WzLL73y@>A?fv+OQ}RQR3qwn&M20$!*Ud{izWVY z7b^bvm~z)Yk%s_T^@n(pmVw)6R3C|x&8PchyY8~z5oN>NM7-=2_?T%rKYo8)Y9G~G z-0%eK?WaB<5vnD;85&V3*)?2_Yg;3a0vy50a}|F`IUHYad{f?UKvohQ%ogYc&Wb^sHPniy8 zYECX)zYz8PVYVHsH(slAsL}jn1LjlUO^Ps(CR`dgDhq13z8=@~FqoF~XHrF&b{aXz zqgYl)z^gT|o|23318?^rK`QXD7$kd7NwVP1!{`4GDl;{? literal 0 HcmV?d00001 diff --git a/TST/04_Formalisation_des_suites/index.rst b/TST/04_Formalisation_des_suites/index.rst index 5194464..bc80440 100644 --- a/TST/04_Formalisation_des_suites/index.rst +++ b/TST/04_Formalisation_des_suites/index.rst @@ -21,7 +21,7 @@ Les élèves choisissent une suite géométrique et une suite arithmétique. Ils :height: 200px :alt: Formalisation des suites -Formalisation dans le cours des deux formules trouvées. +Cours: Formalisation dans le cours des deux formules trouvées. .. image:: ./1B_formalisation.pdf :height: 200px @@ -31,8 +31,17 @@ Formalisation dans le cours des deux formules trouvées. Étape 2: Moyenne arithmétique et géométrique ============================================ -Questions d'intro puis cours puis exercices techniques. +Tache complexe pour introduire les moyennes arithmétique et géométrique. +.. image:: ./2E_moyennes.pdf + :height: 200px + :alt: Tache complexe d'introduction des moyennes. + +Cours: Calculs des moyennes + +.. image:: ./2B_moyennes.pdf + :height: 200px + :alt: Définitions des deux moyennes Étape 3: Technique ================== @@ -41,7 +50,7 @@ Calculer les termes d'une suite à partir de différentes formes. Passage explicite <-> recu. À partir de deux termes + nature ou de 3 termes retrouver u0 et la raison. -.. image:: ./2E_technique.pdf +.. image:: ./3E_technique.pdf :height: 200px :alt: Exercices techniques pour retrouver la raison et le premier terme. From 7dbebf4d2ab0c64df60f3bdb37eb236d130120f6 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 13 Oct 2020 12:19:53 +0200 Subject: [PATCH 2/2] Feat: devoir maison pour la SNT --- SNT/01_WEB/devoir_maison.html | 74 ++++++++++++++++++++++++++++++++++ SNT/01_WEB/devoir_maison.png | Bin 0 -> 164236 bytes 2 files changed, 74 insertions(+) create mode 100644 SNT/01_WEB/devoir_maison.html create mode 100644 SNT/01_WEB/devoir_maison.png diff --git a/SNT/01_WEB/devoir_maison.html b/SNT/01_WEB/devoir_maison.html new file mode 100644 index 0000000..fbf8d33 --- /dev/null +++ b/SNT/01_WEB/devoir_maison.html @@ -0,0 +1,74 @@ + + + + + + Devoir maison SNT + + + +

Devoir maison de SNT

+ +

1. Consignes

+ +

Le but de ce DM est de reproduire la page web que vous êtes en train de lire.

+

La notation dépendra de deux choses. Le premier critère sera la précision avec laquelle vous reproduisez la page web (sur 3 points). Le deuxième sera la part de la page reproduite (sur 6 points). Il restera un point sur la qualité de votre code.

+ +

2. Une page web

+ +

Le langage HTML est un langage a balise. Il décrit le contenu d'une page web

+ +

Pour décorer une page HTML, on peut utiliser le CSS

+ +

Pour animer une page HTML, on peut utiliser le javascript

+ + +
+

Pour découvrir les CSS, le site de mozilla propose des explications (l'adresse est https://developer.mozilla.org/fr/docs/Apprendre/Commencer_avec_le_web/Les_bases_CSS)

+ +

3. Les métiers du web

+ +

Il y a beaucoup de métiers différents pour travailler dans le web. On peut les ranger en famille

+
    +
  • Programmation et développement
  • +
  • Graphisme et webdesign
  • +
  • Administration
  • +
  • Animation - community manager
  • +
  • Marketing et promotion
  • +
+

Description de quelques métiers

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
MétierMissionsQualitésParcours scolaire
Webmaster Gère les sites internet Polyvalent et connaître les bases des langages du web bac+2
Web designer Conçoit les graphismes d'un site Compétences de graphismes bac+3 à +5
Developpeur web Programme les sites Compétences de programmation bac+2 à +5
Web marketeur Gère la promotion de produit sur le web Connaissances en marketing bac+2 à +5
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Si vous cliquez sur ce lien, vous irez à l'adresse https://developer.mozilla.org/fr/docs/Apprendre/Commencer_avec_le_web/Les_bases_HTML . Cette page explique les bases du HTML.