REPLAY : 1ère Spé : Cours sur le Second degré

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Replay of the 26/09/2024 à 16h

Course Overview

Ce cours est dédié aux élèves de Première Spécialité, souhaitant maîtriser les notions fondamentales du polynôme du second degré. Ces concepts sont essentiels pour réussir les épreuves de mathématiques et sont au cœur de nombreuses applications pratiques. En participant à ce cours, les élèves renforceront leur compréhension des différents aspects du second degré et apprendront à utiliser des méthodes rigoureuses pour résoudre les problèmes liés à ce sujet. Le second degré est un chapitre central du programme de mathématiques en Première Spécialité. Il intervient dans de nombreux domaines, et sa maîtrise est indispensable pour les épreuves du baccalauréat. Ce cours permettra aux élèves d'acquérir une compréhension solide des polynômes du second degré et des outils nécessaires pour aborder sereinement les problèmes liés à ce sujet.

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Methodology and Goals

Programme détaillé : Polynôme du second degré Introduction aux polynômes du second degré : forme générale 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐 ax 2 +bx+c. Étude des caractéristiques d’un polynôme du second degré (coefficients, discriminant). Comprendre le rôle du discriminant et son influence sur les solutions de l’équation associée. Forme canonique Passer d'une forme développée à la forme canonique 𝑎 ( 𝑥 − 𝛼 ) 2 + 𝛽 a(x−α) 2 +β. Interprétation graphique de la forme canonique : sommet de la parabole, concavité. Exemples et exercices pour mettre en pratique cette transformation et comprendre son utilité. Tableau de variation Construction du tableau de variation d’une fonction polynomiale du second degré. Analyse des variations d’un polynôme en fonction de la forme canonique et du discriminant. Exemples pour illustrer les changements de sens de variation et la localisation du maximum ou du minimum. Équations du second degré Résolution des équations du second degré en utilisant le...

discriminant. Analyse des différents cas selon la valeur du discriminant (positif, nul, négatif). Résolution de plusieurs exemples pour illustrer les différents types de solutions (réelles ou complexes). Tableau de signe Construction du tableau de signe d'un polynôme du second degré. Utilisation du discriminant et des racines pour remplir correctement le tableau de signe. Application du tableau de signe dans la résolution d’inéquations du second degré.

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About Lucas

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I am a Mathematics Teacher in Middle School, High School, PASS, and Higher Education

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Hello everyone! Lucas Markarian, 25 years old, Mathematics teacher and above all passionate about teaching! I teach in various fields: Sports Studies, College, High School, BTS, Prep, PASS. You can only succeed in Mathematics, you just have to show you the RIGHT METHODS and you will all be able to obtain the best possible results! It is TOGETHER that we will succeed!

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Reviews

( 1765 reviews )
  5

Les explications étaient claires, vous avez répondu a toutes mes questions et j'ai tout bien compris. Le seul problème était le chat avec certaines personnes qui étaient irrespectueuses.

Hanae

C’était très bien, très enrichissant et très intéressant que ce soit sur le cours ou la façon de faire les exercices en nous laissant réfléchir avant de corriger. 
Merci beaucoup !

Elodie

très bien

lilian

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