Quiz Maths : Équations, Fonctions et Géométrie pour la 1ère Année Secondaire

Question 1 sur 10 10:00

[{"id":32298,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32299,"question":"La fonction f(x) = 2x + 3 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. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32300,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 5 cm et un côté mesure 3 cm, quelle est la longueur du troisième côté ?","option_a":"4 cm","option_b":"√34 cm","option_c":"2 cm","option_d":"√16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : 5² = 3² + x² → 25 = 9 + x² → x² = 16 → x = 4 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32301,"question":"L'équation 2x² - 8x + 6 = 0 a pour solutions :","option_a":"x = 1 et x = 3","option_b":"x = 2 et x = 4","option_c":"x = 0 et x = 4","option_d":"x = -1 et x = -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant : 2(x² - 4x + 3) = 0 → 2(x-1)(x-3) = 0 → x = 1 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32302,"question":"La droite d'équation y = -x + 2 passe-t-elle par le point (1, 1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour x = 1, y = -1 + 2 = 1. Le point (1,1) appartient bien à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32303,"question":"Quel est l'antécédent de 5 par la fonction f(x) = 3x - 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 5\/3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On résout 3x - 7 = 5 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32304,"question":"Dans un cercle de rayon 5 cm, quelle est la longueur d'un arc de 60° ?","option_a":"5π\/3 cm","option_b":"5π cm","option_c":"10π\/3 cm","option_d":"π cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Longueur d'arc = (θ\/360) × 2πr = (60\/360) × 2π × 5 = (1\/6) × 10π = 5π\/3 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32305,"question":"La fonction f(x) = x² est-elle linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit f(x) = ax. Ici, f(x) = x² est une fonction du second degré, donc non linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32306,"question":"Résolvez l'inéquation 2x - 7 \u003E 3.","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 7 \u003E 3 → 2x \u003E 10 → x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32307,"question":"Le théorème de Thalès s'applique-t-il dans un triangle quelconque ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique uniquement dans un triangle coupé par une parallèle à l'un de ses côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]