diff --git a/1ST/09_Polynomes_de_degre_3/1B.tex b/1ST/09_Polynomes_de_degre_3/1B.tex new file mode 100644 index 0000000..6286d80 --- /dev/null +++ b/1ST/09_Polynomes_de_degre_3/1B.tex @@ -0,0 +1,14 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Polynomes de degré 3 - Cours} +\date{mai 2023} + +\pagestyle{empty} + +\begin{document} + +\maketitle + +\end{document} diff --git a/1ST/09_Polynomes_de_degre_3/exercises.tex b/1ST/09_Polynomes_de_degre_3/exercises.tex new file mode 100644 index 0000000..15deefa --- /dev/null +++ b/1ST/09_Polynomes_de_degre_3/exercises.tex @@ -0,0 +1,21 @@ +\begin{exercise}[subtitle={Identification}, step={1}, origin={<++>}, topics={ Polynomes de degré 3 }, tags={ Fonction }] + Identifier le degré des polynômes ci-dessous ainsi que les coefficients (quand ils ne sont pas factorisés). + + \begin{tasks}(3) + \task $f(x) = 7x^2 + 2x + 0.2$ + \task $f(x) = -2x^3 + 3x^2 - 8x + 2$ + \task $f(x) = 3x^2 - 10x^3 - 2$ + + \task $f(x) = 4x^2 - 5x$ + \task $f(x) = x^3$ + \task $f(x) = 3 - 5x^3$ + + \task $f(x) = - 10x + 2$ + \task $f(x) = - 10x^2 + 0.25$ + \task $f(x) = -5x^2 + x$ + + \task $f(x) = (5x-2)(3x-1)$ + \task $f(x) = (2x+1)(0.1x-10)^2$ + \task $f(x) = 3(x+2)(x-1)(x-2)$ + \end{tasks} +\end{exercise} diff --git a/1ST/09_Polynomes_de_degre_3/index.rst b/1ST/09_Polynomes_de_degre_3/index.rst new file mode 100644 index 0000000..390e551 --- /dev/null +++ b/1ST/09_Polynomes_de_degre_3/index.rst @@ -0,0 +1,28 @@ +Polynomes de degré 3 +#################### + +:date: 2023-05-18 +:modified: 2023-05-18 +:authors: Benjamin Bertrand +:tags: Fonction +:category: 1ST +:summary: Etude graphique et de signe des polynomes de degrés 3. + + +Éléments du programme +===================== + +Contenus +-------- + +Capacités attendues +------------------- + +Commentaires +------------ + +Progression +=========== + +Étape 1: +-------- diff --git a/1ST/09_Polynomes_de_degre_3/plan_de_travail.pdf b/1ST/09_Polynomes_de_degre_3/plan_de_travail.pdf new file mode 100644 index 0000000..d9e414d Binary files /dev/null and b/1ST/09_Polynomes_de_degre_3/plan_de_travail.pdf differ diff --git a/1ST/09_Polynomes_de_degre_3/plan_de_travail.tex b/1ST/09_Polynomes_de_degre_3/plan_de_travail.tex new file mode 100644 index 0000000..d24101e --- /dev/null +++ b/1ST/09_Polynomes_de_degre_3/plan_de_travail.tex @@ -0,0 +1,46 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Polynomes de degré 3 - Plan de travail} +\tribe{1ST} +\date{mai 2023} + +\pagestyle{empty} + +\DeclareExerciseCollection{banque} +\xsimsetup{ +} + + +\begin{document} +\maketitle + +% Résumé + +\bigskip + +Savoir-faire de la séquence +\begin{itemize} + \item représentations graphiques des fonctions : $ax3$, $ax3 + b$ ; + \item racines et signe d’un polynôme de degré 3 de la forme $a(x - x1)(x - x2)(x-x3)$ ; + \item équation $x3 = c$ ; racine cubique d’un nombre réel positif ; notations racines cubiques +\end{itemize} + +\bigskip + +Ordre des étapes à respecter + + +\section{} + +\listsectionexercises + + +\pagebreak + +\input{exercises.tex} +\printcollection{banque} + + +\end{document} diff --git a/1ST/09_Polynomes_de_degre_3/solutions.tex b/1ST/09_Polynomes_de_degre_3/solutions.tex new file mode 100644 index 0000000..5359ba2 --- /dev/null +++ b/1ST/09_Polynomes_de_degre_3/solutions.tex @@ -0,0 +1,28 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\usetikzlibrary{shapes.geometric} + +\author{Benjamin Bertrand} +\title{Polynomes de degré 3 - Solutions} +\tribe{1ST} +\date{mai 2023} + +\DeclareExerciseCollection{banque} +\xsimsetup{ + exercise/print=false, + solution/print=true, +} + +\pagestyle{empty} + + +\begin{document} + +\maketitle + +\input{exercises.tex} +%\printcollection{banque} +%\printsolutions{exercises} + +\end{document}