Feat(1ST): initialise le chapitre sur le degré 3
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1ST/09_Polynomes_de_degre_3/1B.tex
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1ST/09_Polynomes_de_degre_3/1B.tex
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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\title{Polynomes de degré 3 - Cours}
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\date{mai 2023}
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\pagestyle{empty}
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\begin{document}
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\maketitle
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\end{document}
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1ST/09_Polynomes_de_degre_3/exercises.tex
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1ST/09_Polynomes_de_degre_3/exercises.tex
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\begin{exercise}[subtitle={Identification}, step={1}, origin={<++>}, topics={ Polynomes de degré 3 }, tags={ Fonction }]
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Identifier le degré des polynômes ci-dessous ainsi que les coefficients (quand ils ne sont pas factorisés).
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\begin{tasks}(3)
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\task $f(x) = 7x^2 + 2x + 0.2$
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\task $f(x) = -2x^3 + 3x^2 - 8x + 2$
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\task $f(x) = 3x^2 - 10x^3 - 2$
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\task $f(x) = 4x^2 - 5x$
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\task $f(x) = x^3$
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\task $f(x) = 3 - 5x^3$
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\task $f(x) = - 10x + 2$
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\task $f(x) = - 10x^2 + 0.25$
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\task $f(x) = -5x^2 + x$
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\task $f(x) = (5x-2)(3x-1)$
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\task $f(x) = (2x+1)(0.1x-10)^2$
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\task $f(x) = 3(x+2)(x-1)(x-2)$
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\end{tasks}
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\end{exercise}
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1ST/09_Polynomes_de_degre_3/index.rst
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1ST/09_Polynomes_de_degre_3/index.rst
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Polynomes de degré 3
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####################
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:date: 2023-05-18
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:modified: 2023-05-18
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:authors: Benjamin Bertrand
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:tags: Fonction
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:category: 1ST
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:summary: Etude graphique et de signe des polynomes de degrés 3.
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Éléments du programme
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=====================
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Contenus
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--------
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Capacités attendues
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-------------------
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Commentaires
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------------
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Progression
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===========
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Étape 1:
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--------
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1ST/09_Polynomes_de_degre_3/plan_de_travail.pdf
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1ST/09_Polynomes_de_degre_3/plan_de_travail.pdf
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1ST/09_Polynomes_de_degre_3/plan_de_travail.tex
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1ST/09_Polynomes_de_degre_3/plan_de_travail.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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\title{Polynomes de degré 3 - Plan de travail}
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\tribe{1ST}
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\date{mai 2023}
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\pagestyle{empty}
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\DeclareExerciseCollection{banque}
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\xsimsetup{
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}
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\begin{document}
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\maketitle
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% Résumé
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\bigskip
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Savoir-faire de la séquence
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\begin{itemize}
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\item représentations graphiques des fonctions : $ax3$, $ax3 + b$ ;
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\item racines et signe d’un polynôme de degré 3 de la forme $a(x - x1)(x - x2)(x-x3)$ ;
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\item équation $x3 = c$ ; racine cubique d’un nombre réel positif ; notations racines cubiques
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\end{itemize}
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\bigskip
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Ordre des étapes à respecter
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\section{}
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\listsectionexercises
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\pagebreak
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\input{exercises.tex}
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\printcollection{banque}
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\end{document}
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1ST/09_Polynomes_de_degre_3/solutions.tex
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1ST/09_Polynomes_de_degre_3/solutions.tex
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\usetikzlibrary{shapes.geometric}
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\author{Benjamin Bertrand}
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\title{Polynomes de degré 3 - Solutions}
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\tribe{1ST}
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\date{mai 2023}
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\DeclareExerciseCollection{banque}
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\xsimsetup{
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exercise/print=false,
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solution/print=true,
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}
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\pagestyle{empty}
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\begin{document}
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\maketitle
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\input{exercises.tex}
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%\printcollection{banque}
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%\printsolutions{exercises}
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\end{document}
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