Maths 3ème secondaire : Testez vos connaissances avec cette série !

Question 1 sur 10 10:00

[{"id":22538,"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 = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution se trouve en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22539,"question":"La dérivée de la fonction f(x) = x² est f'(x) = 2x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est bien 2x, d'après la règle de dérivation des fonctions puissances.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22540,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 6","option_c":"f(2) = 5","option_d":"f(2) = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 : f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22541,"question":"L'équation x² - 4x + 4 = 0 admet deux solutions distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Cette équation se factorise en (x-2)² = 0, donc une solution double x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22542,"question":"Quelle est la pente de la droite d'équation y = -2x + 3 ?","option_a":"m = 2","option_b":"m = -2","option_c":"m = 3","option_d":"m = -3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = mx + p, m représente la pente. Ici, m = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22543,"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 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},{"id":22544,"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":"En isolant x : 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22545,"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":22546,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ ?","option_a":"f'(x) = 12x²","option_b":"f'(x) = 4x²","option_c":"f'(x) = 12x","option_d":"f'(x) = 3x²","option_e":"","option_f":"","bonne_reponse":"A","explication":"En appliquant la règle de dérivation des fonctions puissances : f'(x) = 4*3x² = 12x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22547,"question":"L'équation 5x - 2 = 3x + 4 admet pour solution x = 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant l'équation : 5x - 3x = 4 + 2 → 2x = 6 → x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]