Quiz Maths Seconde : Algèbre et Géométrie de Base

Question 1 sur 10 10:00

[{"id":13733,"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":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15. Puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13734,"question":"L'inéquation 2x + 3 ≤ 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 des deux côtés, on obtient 2x ≤ 4. En divisant par 2, x ≤ 2. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13735,"question":"Quelle est l'image de 2 par la fonction f(x) = x² + 3x - 1 ?","option_a":"f(2) = 3","option_b":"f(2) = 9","option_c":"f(2) = 11","option_d":"f(2) = 7","option_e":"","option_f":"","bonne_reponse":"C","explication":"En remplaçant x par 2 dans f(x), on obtient f(2) = 4 + 6 - 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13736,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, alors BC mesure :","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC² = AB² + AC² = 9 + 16 = 25. Donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13737,"question":"La propriété 'Si deux droites sont parallèles à une même troisième, alors elles sont parallèles entre elles' est :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette propriété est vraie et fait partie des axiomes de la géométrie euclidienne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13738,"question":"Quelle est la solution du 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, soit x = 2. En remplaçant dans la deuxième équation, y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13739,"question":"L'expression (x + 3)² est égale à :","option_a":"x² + 9","option_b":"x² + 6x + 9","option_c":"x² + 3x + 9","option_d":"x² - 6x + 9","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant (x + 3)², on obtient x² + 6x + 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13740,"question":"Dans un triangle isocèle, les angles à la base sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des triangles isocèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13741,"question":"Quelle est la solution de l'inéquation -2x + 4 \u003E 0 ?","option_a":"x \u003C 2","option_b":"x \u003E 2","option_c":"x ≤ 2","option_d":"x ≥ 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 4 des deux côtés, on obtient -2x \u003E -4. En divisant par -2 (et en inversant le sens de l'inégalité), x \u003C 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13742,"question":"Le point M(1 ; 3) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 1 dans l'équation, on obtient y = 3. Le point M(1 ; 3) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]