Devoir de contrôle N°3 en mathématiques pour la 9ème année de base. Exercices corrigés sur l'algèbre et la géométrie pour réviser efficacement.
Question 1 sur 10 10:00
[{"id":10363,"question":"Quelle est la solution de l'équation 3x - 7 = 11 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 5","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 7 = 11, on ajoute 7 des deux côtés : 3x = 18, puis on divise par 3 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10364,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10365,"question":"Quel est le volume d'un cube d'arête 4 cm ?","option_a":"64 cm³","option_b":"16 cm³","option_c":"32 cm³","option_d":"48 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par V = côté³. Ici, 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10366,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10367,"question":"Résoudre l'inéquation : 2x + 5 \u003E 13.","option_a":"x \u003E 4","option_b":"x \u003E 8","option_c":"x \u003C 4","option_d":"x \u003C 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 5 \u003E 13 → 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10368,"question":"L'aire d'un triangle rectangle est égale au demi-produit de ses côtés de l'angle droit.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle rectangle se calcule par (base × hauteur) \/ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10369,"question":"Quelle est la valeur de x dans l'équation 5(x - 2) = 25 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"A","explication":"5(x - 2) = 25 → x - 2 = 5 → x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10370,"question":"Deux angles opposés par le sommet sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les angles opposés par le sommet sont toujours de même mesure.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10371,"question":"Calculer la longueur de l'hypoténuse d'un triangle rectangle dont les côtés de l'angle droit mesurent 6 cm et 8 cm.","option_a":"10 cm","option_b":"12 cm","option_c":"14 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : hypoténuse² = 6² + 8² = 36 + 64 = 100 → hypoténuse = 10 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10372,"question":"Si a\/b = c\/d, alors ad = bc.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La propriété des proportions indique que si a\/b = c\/d, alors ad = bc.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]
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