Cours complet de mathématiques pour la 2ème année secondaire : équations, fonctions, géométrie et statistiques. Exercices corrigés et méthodes pour réussir.
Question 1 sur 10 10:00
[{"id":61257,"question":"Quelle est la solution de l'équation 2x - 5 = 3 ?","option_a":"x = 1","option_b":"x = 4","option_c":"x = -1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x - 5 = 3 ⇒ 2x = 8 ⇒ x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61258,"question":"La fonction f(x) = 3x + 2 est-elle affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b, ce qui est le cas ici avec a=3 et b=2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61259,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 5 ?","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, ici -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61260,"question":"Le théorème de Pythagore s'applique-t-il dans un triangle rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore énonce que dans un triangle rectangle, a² + b² = c², où c est l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61261,"question":"Quelle est la médiane d'une série de nombres : 2, 4, 6, 8, 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"5","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est la valeur centrale de la série ordonnée : 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61262,"question":"L'aire d'un disque de rayon r est donnée par la formule :","option_a":"πr","option_b":"πr²","option_c":"2πr","option_d":"4πr²","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un disque est π multiplié par le carré du rayon (πr²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61263,"question":"Un solide a un volume de 60 cm³ et une masse de 120 g. Quelle est sa masse volumique ?","option_a":"0,5 g\/cm³","option_b":"2 g\/cm³","option_c":"7200 g\/cm³","option_d":"0,05 g\/cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Masse volumique = masse \/ volume = 120 \/ 60 = 2 g\/cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61264,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction x² est décroissante sur ]-∞, 0] et croissante sur [0, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61265,"question":"Quelle est la solution de l'inéquation 3x + 1 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x + 1 \u003E 7 ⇒ 3x \u003E 6 ⇒ x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61266,"question":"Le volume d'une sphère de rayon r est donné par :","option_a":"4\/3 πr²","option_b":"4\/3 πr³","option_c":"πr³","option_d":"2πr³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'une sphère est (4\/3)πr³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]
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