Quiz : Mathématiques 1ère année secondaire — Devoir de Contrôle

Question 1 sur 10 10:00

[{"id":24548,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 10\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24549,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec a = 2 et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24550,"question":"Quelle est l'image de x = -1 par la fonction f(x) = x² - 4x + 1 ?","option_a":"f(-1) = 6","option_b":"f(-1) = -4","option_c":"f(-1) = 0","option_d":"f(-1) = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par -1 : f(-1) = (-1)² - 4*(-1) + 1 = 1 + 4 + 1 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24551,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24552,"question":"Quelle est la solution de l'inéquation 2x + 7 ≤ 15 ?","option_a":"x ≤ 4","option_b":"x ≤ 8","option_c":"x ≥ 4","option_d":"x ≤ -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2x + 7 ≤ 15, on soustrait 7 : 2x ≤ 8, puis on divise par 2 : x ≤ 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24553,"question":"La droite d'équation y = -3x + 2 a-t-elle un coefficient directeur positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -3, qui est négatif. Une droite avec un coefficient directeur positif monte de gauche à droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24554,"question":"Quelle est 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":"14 cm","option_c":"12 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"En appliquant le théorème de Pythagore : hypoténuse² = 6² + 8² = 36 + 64 = 100, donc hypoténuse = 10 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24555,"question":"La fonction f(x) = 5 est-elle une fonction constante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction constante est de la forme f(x) = k, où k est un nombre réel. Ici, f(x) = 5 est bien une fonction constante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24556,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"C","explication":"En factorisant : x² - 9 = (x - 3)(x + 3) = 0, donc x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24557,"question":"L'aire d'un rectangle de longueur 5 cm et de largeur 3 cm est-elle de 15 cm² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur, soit 5 × 3 = 15 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]