Quiz Mathématiques : 3ème année secondaire — Série 8

Question 1 sur 10 10:00

[{"id":54611,"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 = 10\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On isole x en ajoutant 5 aux deux membres (3x = 15) puis en divisant par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54612,"question":"La somme des angles d'un triangle est 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 plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54613,"question":"Quelle est la dérivée de la fonction f(x) = 2x² + 3x - 1 ?","option_a":"f'(x) = 4x + 3","option_b":"f'(x) = 2x + 3","option_c":"f'(x) = 4x - 1","option_d":"f'(x) = 2x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est 2x et celle de x est 1, donc f'(x) = 4x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54614,"question":"Un parallélogramme a ses diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété caractéristique du parallélogramme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54615,"question":"Résoudre l'inéquation 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003E -4","option_c":"x \u003C 4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 7 (2x \u003E 8) puis on divise par 2 (x \u003E 4).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54616,"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 spécifique aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54617,"question":"Quelle est la valeur de sin(30°) ?","option_a":"0,5","option_b":"√2\/2","option_c":"1","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"sin(30°) = 1\/2 = 0,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54618,"question":"L'aire d'un cercle de rayon r est πr².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la formule standard de l'aire d'un cercle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54619,"question":"Résoudre le système d'équations : {2x + y = 5 ; x - y = 1}.","option_a":"x = 2 ; y = 1","option_b":"x = 1 ; y = 3","option_c":"x = 3 ; y = -1","option_d":"x = 0 ; y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations, on obtient 3x = 6 (x = 2), puis y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54620,"question":"La médiane d'un triangle est une droite qui passe par un sommet et le milieu du côté opposé.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition d'une médiane dans un triangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]