Maths 1ère année : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":52161,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52162,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 : 2x \u003E 4, puis en divisant par 2 : x \u003E 2. L'inéquation est donc vraie pour x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52163,"question":"Quelle est l'image de 5 par la fonction f(x) = 2x + 1 ?","option_a":"10","option_b":"11","option_c":"9","option_d":"12","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 5 dans f(x) = 2x + 1, on obtient f(5) = 2*5 + 1 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52164,"question":"Le nombre √16 est un nombre réel.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"√16 = 4, qui est un nombre entier et donc un nombre réel.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52165,"question":"Quelle est la forme développée de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x - 6","option_c":"x² + 5x - 6","option_d":"x² + x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (x + 3)(x - 2), on obtient x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52166,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est de 24 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un triangle est (base * hauteur) \/ 2 = (6 * 4) \/ 2 = 12 cm². L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52167,"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 = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 équivaut à x² = 9, donc x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52168,"question":"La fonction f(x) = -2x + 5 est une fonction décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52169,"question":"Quelle est la valeur de x dans le triangle rectangle ci-dessous si AB = 5 cm et BC = 3 cm ?","option_a":"4 cm","option_b":"6 cm","option_c":"√34 cm","option_d":"√16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : AC² = AB² + BC² = 25 + 9 = 34, donc AC = √34 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52170,"question":"L'expression 3\/4 + 1\/2 est égale à :","option_a":"4\/6","option_b":"5\/4","option_c":"7\/4","option_d":"3\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"3\/4 + 1\/2 = 3\/4 + 2\/4 = 5\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]