Quiz Maths : 3ème année secondaire — Série 5

Question 1 sur 10 10:00

[{"id":34013,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation x² - 5x + 6 = 0 se factorise en (x-2)(x-3) = 0, donc les solutions sont x = 2 et x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34014,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore, une propriété fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34015,"question":"Quelle est la dérivée de la fonction f(x) = 3x² - 2x + 1 ?","option_a":"f'(x) = 6x - 2","option_b":"f'(x) = 3x - 2","option_c":"f'(x) = 6x² - 2x","option_d":"f'(x) = 3x² - 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x² est 6x, celle de -2x est -2, et la dérivée de 1 est 0. Donc f'(x) = 6x - 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34016,"question":"Un angle de 120° est-il un angle aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle aigu mesure moins de 90°. 120° est un angle obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34017,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 8, puis x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34018,"question":"Le volume d'une sphère de rayon r est donné par la formule V = (4\/3)πr³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la formule correcte du volume d'une sphère.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34019,"question":"Quelle est la nature de la fonction f(x) = (x² + 1)\/(x - 2) ?","option_a":"Fonction rationnelle","option_b":"Fonction polynôme","option_c":"Fonction exponentielle","option_d":"Fonction logarithme","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction rationnelle est le quotient de deux polynômes, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34020,"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":34021,"question":"Quelle est la solution de l'équation 3(x - 1) = 2x + 5 ?","option_a":"x = 8","option_b":"x = 2","option_c":"x = -8","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 3x - 3 = 2x + 5, puis x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34022,"question":"Le cosinus d'un angle aigu est toujours inférieur à 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 compris entre 0 et 1, donc toujours inférieur à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]