Quiz Mathématiques : 3ème Année Secondaire (Sciences)

Question 1 sur 10 10:00

[{"id":73222,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 6","option_d":"x = 12\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73223,"question":"La fonction f(x) = x² est-elle paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73224,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = 16","option_c":"Δ = 0","option_d":"Δ = -4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73225,"question":"La somme des angles d'un triangle est-elle égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie euclidienne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73226,"question":"Résolvez l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E -2","option_c":"x \u003C 2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73227,"question":"La dérivée de f(x) = 5x³ est-elle f'(x) = 15x² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f'(x) = 5 * 3x² = 15x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73228,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"A","explication":"√(16) = 4 et √(9) = 3 → 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73229,"question":"Un quadrilatère avec deux côtés parallèles est-il toujours un parallélogramme ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un trapèze a deux côtés parallèles mais n'est pas forcément un parallélogramme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73230,"question":"Calculez la moyenne de 5, 7, 9 et 11.","option_a":"8","option_b":"7.5","option_c":"9","option_d":"8.5","option_e":"","option_f":"","bonne_reponse":"A","explication":"(5 + 7 + 9 + 11) \/ 4 = 32 \/ 4 = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73231,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]