Contrôle n° 1 du 2 Semestre Mathématiques
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(2) Géométrie Exercice 1(8points) ABC est un triangle tel que : AB = 4,2cm ; AC = 5,6cm et BC = 7cm 1) Construire la figure . 2) Montrer que le triangle ABC est rectangle en A. 3) Déduire que les points A;B et C appartiennent au même cercle précisant son centre O et son rayon r. 4) Soit K la projection orthogonale du point A sur la droite (BC). ˆ . a – Calculer cos ABC. 1pt 1pt. 1pt 0,5pt 1pt 0,5pt 1pt 1pt. ol. ai. re. AN. IS SE. ˆ (arrondie au dixième). b – Déduire la mesure de l’angle ABC ˆ ABK ˆ ) c – Déduire que BK = 2,25cm (remarque : ABC 5) a – Calculer la surface du triangle ABC. b – Déduire AK = 3,36cm. 6) Déduire que OK (Utiliser le Théorème de Pythagore). 1pt. Sc. English math exercise: (2 pts). G. ro. up. e. 1. Two students are arguing about quadrilaterals, student A claims that a rhombus and a square are the same thing; while student B disagrees and says they are not. What are the differences between them? [1] 2. A teacher asks all the students in her class to write down an algebraic expression. Aymane writes down this expression: 7n-8; while Salma writes down: 3n+12. What value of n makes the value of Salma’s expression equal to the value of Aymane’s expression? You must show your working. [1].
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