Maths 1ère Année : Algèbre et Géométrie — Devoir de Contrôle

Question 1 sur 10 10:00

[{"id":5895,"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":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5896,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 → BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5897,"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":"2x \u003E 4 → x \u003E 2. L'inéquation est donc vraie pour x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5898,"question":"Quelle est la valeur de l'expression 2a + 3b si a = 1 et b = -2 ?","option_a":"-4","option_b":"-1","option_c":"4","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"2(1) + 3(-2) = 2 - 6 = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5899,"question":"Un carré a un périmètre de 20 cm. Quelle est la longueur de son côté ?","option_a":"4 cm","option_b":"5 cm","option_c":"10 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"Périmètre = 4 × côté → 20 = 4 × côté → côté = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5900,"question":"L'aire d'un rectangle de longueur L et de largeur l est donnée par A = L × l.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule de l'aire d'un rectangle est bien A = L × l.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5901,"question":"Résoudre l'équation x² - 5x + 6 = 0.","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les solutions sont obtenues en factorisant : (x-2)(x-3) = 0 → x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5902,"question":"Un angle plat mesure :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un angle plat mesure 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5903,"question":"Quelle est la valeur de l'expression 3(x + 2) - 5 si x = 4 ?","option_a":"13","option_b":"9","option_c":"19","option_d":"21","option_e":"","option_f":"","bonne_reponse":"C","explication":"3(4 + 2) - 5 = 3(6) - 5 = 18 - 5 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5904,"question":"Le périmètre d'un cercle de rayon r est donné par P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du périmètre d'un cercle est bien P = 2πr.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]