Hauteurs, médiatrices

Le plan - Mathématiques 5e

Exercice 1 : Construire la médiatrice du côté d'un triangle à l'aide du quadrillage

Dans le triangle \(ABC\) suivant, tracer la médiatrice du segment \([AB]\).

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Exercice 2 : Démontrer qu'une médiatrice et une hauteur sont parallèles

Sachant que \((h)\) est la hauteur issue de \(F\) et \((m)\) est la médiatrice de \([DE]\)

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Démontrer que \((h)\) et \((m)\) sont parallèles.
Si plusieurs blocs "On sait que, or, donc" sont nécessaires, il faut les écrire à la suite les uns des autres et non imbriqués les uns dans les autres.

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Exercice 3 : Construire la hauteur (extérieure) du côté d'un triangle

Dans le triangle \( ABC \) suivant, tracer la hauteur relative au côté \( [AB] \).

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Exercice 4 : Démontrer l'équidistance entre un point sur la médiatrice et les deux sommets du triangle associés

Sachant que \((d)\) est la médiatrice de \([VX]\) et \(M \in (d)\)

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Prouver que \(VM = XM\).

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Exercice 5 : Construire la hauteur (extérieure ou intérieure) du côté d'un triangle à l'aide du quadrillage

Dans le triangle \( ABC \) suivant, tracer la hauteur relative au côté \( [AB] \).

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Kwyk vous donne accès à plus de 8 000 exercices auto-corrigés en Mathématiques.
Nos exercices sont conformes aux programmes de l'Éducation Nationale de la 6e à la Terminale. Grâce à Kwyk, les élèves s'entraînent sur du calcul mental, des exercices d'arithmétique et de géométrie, des problèmes et des exercices d'application, des exercices d'algorithmique et de python, des annales du brevet des collèges et du baccalauréat. Nos exercices sont proposés sous forme de réponse libre et/ou de QCM.

Afin d'assurer un entraînement efficace et pertinent aux élèves, chaque exercice est généré avec des valeurs aléatoires. Les élèves peuvent s'entraîner grâce aux devoirs donnés sur Kwyk par leurs professeurs et aux devoirs générés par notre outil utilisant l'IA mais aussi grâce aux différents modules de travail en autonomie mis à disposition sur leur espace personnel. Pour les niveaux du collège, les élèves ont également accès à des cours constitués d'une partie théorique et d'une partie pratique.
Avec Kwyk, vous mettez toutes les chances du côté des élèves pour que les différents théorèmes, propriétés et définitions n'aient plus aucun secret pour eux.

En 2024, plus de 40 000 000 d'exercices ont été réalisés sur Kwyk en Mathématiques.

Exercices de Mathématiques : préparer les examens
Brevet des collèges | Baccalauréat
S'entraîner dans d'autres matières
Français | Physique-Chimie