Quiz Mathématiques : 3ème année secondaire — Évaluation des acquis

Question 1 sur 10 10:00

[{"id":45636,"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":45637,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45638,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45639,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, alors il est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 5² → 9 + 16 = 25. Le triangle est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45640,"question":"Quelle est la dérivée de la fonction f(x) = 2x³ - 5x + 1 ?","option_a":"f'(x) = 6x² - 5","option_b":"f'(x) = 6x² + 5","option_c":"f'(x) = 2x² - 5","option_d":"f'(x) = 6x - 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 2x³ est 6x², celle de -5x est -5, et celle de 1 est 0. Donc f'(x) = 6x² - 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45641,"question":"La fonction f(x) = x² est toujours croissante sur ℝ.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante sur ]-∞, 0] et croissante sur [0, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45642,"question":"Quelle est la solution de 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":45643,"question":"Le cosinus d'un angle aigu est toujours compris entre -1 et 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le cosinus d'un angle aigu est toujours compris entre 0 et 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45644,"question":"Quelle est la valeur de sin(30°) ?","option_a":"1\/2","option_b":"√2\/2","option_c":"√3\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La valeur de sin(30°) est 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45645,"question":"La fonction f(x) = 1\/x est définie pour 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 pour x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]