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Mathematics, 05.11.2021 20:00 reyrey216

Exercice 6 Soit (O, I, J un repère orthonormée du plan. On considère les points
A(2; 2), B(7; 1), C(4; 4)
1. Faire une figure dans le repère ci-dessous, qui sera complétée par la suite.
2. Démontrer que ABC est rectangle en C.
ABC est rectangle en cas pon amgle mesure yo
3. Déterminer les coordonnées du point II, centre du Cercle circonscrit au ttiangle ABC.
[4
4. Calculer le rayon de ce cercle C.
i 15]
5. Montrer que le point D(4; -1) est l'un des deux points d'intersection de la médiatrice du segment (AB) et
du cercle 8
6. Déterminer les coordonnées du point E, le symétrique du point D par rapport au point H.
7. Que dire du quadrilatère ADBE?
8. Soit F le pied de la hauteur issue de C dans le triangle ABC.
En calculant l'aire du triangle ABC de deux façons, calculer la longueur CF.

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Exercice 6 Soit (O, I, J un repère orthonormée du plan. On considère les points
A(2; 2), B(7...

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