Quiz interactif : Maths 4ème année secondaire — Algèbre, Géométrie & Probabilités

Question 1 sur 10 10:00

[{"id":79492,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 5","option_c":"x = -5","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 2x + 7, on soustrait 2x des deux côtés : x - 5 = 7, puis on ajoute 5 : x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79493,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79494,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + 5 ?","option_a":"f'(x) = 12x² - 4x","option_b":"f'(x) = 12x² - 4x + 5","option_c":"f'(x) = 4x² - 2x","option_d":"f'(x) = 12x² - 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 4x³ est 12x², celle de -2x² est -4x, et celle de 5 est 0. Donc f'(x) = 12x² - 4x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79495,"question":"Si A et B sont deux événements incompatibles, alors P(A ∪ B) = P(A) + P(B). Cette affirmation est-elle vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour des événements incompatibles, la probabilité de leur union est bien la somme de leurs probabilités individuelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79496,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 7 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 des deux côtés : 2x ≤ 4, puis en divisant par 2 : x ≤ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79497,"question":"La fonction f(x) = x² est-elle toujours croissante ?","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 pour x \u003C 0 et croissante pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79498,"question":"Quel est le résultat de 4! (factorielle de 4) ?","option_a":"24","option_b":"16","option_c":"4","option_d":"10","option_e":"","option_f":"","bonne_reponse":"A","explication":"4! = 4 × 3 × 2 × 1 = 24.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79499,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont-ils égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79500,"question":"Quelle est la limite de la fonction f(x) = (3x² + 2x) \/ x lorsque x tend vers 0 ?","option_a":"0","option_b":"3","option_c":"2","option_d":"∞","option_e":"","option_f":"","bonne_reponse":"B","explication":"En simplifiant, f(x) = 3x + 2. Donc la limite lorsque x tend vers 0 est 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":79501,"question":"Un dé équilibré est lancé. Quelle est la probabilité d'obtenir un nombre pair ?","option_a":"1\/6","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il y a 3 nombres pairs (2, 4, 6) sur 6 faces possibles. Donc la probabilité est 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]