Maths 3ème secondaire : Testez vos connaissances en série !

Question 1 sur 10 10:00

[{"id":77442,"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 = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 → 3x = 12 → x = 4. Cette équation est résolue en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77443,"question":"La fonction f(x) = x² - 4x + 3 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction s'annule en x=1 et x=3, et est négative entre ces deux valeurs.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77444,"question":"Quel est le coefficient directeur de la droite d'équation y = 2x - 5 ?","option_a":"2","option_b":"-5","option_c":"5","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = mx + p, m est le coefficient directeur. Ici, m = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77445,"question":"Si f(x) = 3x + 2, alors f'(x) = ?","option_a":"3","option_b":"2","option_c":"3x + 2","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction affine f(x) = mx + p est f'(x) = m. Ici, m = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77446,"question":"Le triangle ABC est rectangle en A avec AB = 3 cm et AC = 4 cm. Quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"√7 cm","option_d":"√13 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":77447,"question":"La fonction f(x) = x³ est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée f'(x) = 3x² est toujours positive (sauf en x=0 où elle est nulle), donc f est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77448,"question":"Résoudre l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77449,"question":"Le cercle de centre O et de rayon 5 cm passe-t-il par le point A(3,4) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La distance OA = √(3² + 4²) = 5 cm, donc A appartient au cercle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77450,"question":"Quelle est la limite de f(x) = (x² - 1)\/(x - 1) quand x tend vers 1 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"∞","option_e":"","option_f":"","bonne_reponse":"B","explication":"Factorisation : (x² - 1)\/(x - 1) = (x - 1)(x + 1)\/(x - 1) = x + 1 → limite = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77451,"question":"La fonction f(x) = sin(x) est-elle périodique ? Si oui, quelle est sa période ?","option_a":"Oui, période = π","option_b":"Oui, période = 2π","option_c":"Non","option_d":"Oui, période = π\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction sin(x) est périodique de période 2π, car sin(x + 2π) = sin(x) pour tout x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]