Maths 4ème année secondaire : Testez vos connaissances en série 1

Question 1 sur 10 10:00

[{"id":74862,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"En isolant x, on obtient 3x - 2x = 1 + 5, soit x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74863,"question":"La fonction f(x) = x² - 4x + 3 est-elle décroissante sur l'intervalle ]-∞, 2[ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La dérivée f'(x) = 2x - 4 est négative pour x \u003C 2, donc la fonction est décroissante sur cet intervalle. Réponse : Vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74864,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"9 cm³","option_b":"12 cm³","option_c":"27 cm³","option_d":"36 cm³","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le volume d'un cube est donné par V = arête³ = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74865,"question":"L'équation x² + 4x + 5 = 0 admet-elle des solutions réelles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 16 - 20 = -4 \u003C 0, donc aucune solution réelle. Réponse : Faux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74866,"question":"Quelle est la dérivée de la fonction f(x) = 5x³ - 2x² + x - 7 ?","option_a":"f'(x) = 15x² - 4x + 1","option_b":"f'(x) = 15x² - 4x","option_c":"f'(x) = 5x² - 2x + 1","option_d":"f'(x) = 15x³ - 4x² + x","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée est f'(x) = 15x² - 4x + 1 (dérivée terme à terme).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74867,"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. Réponse : Vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74868,"question":"Résolvez l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 4, soit x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74869,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction n'est pas définie en x = 0 car la division par zéro est impossible. Réponse : Faux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74870,"question":"Quelle est la solution de l'équation |x - 3| = 5 ?","option_a":"x = 8 ou x = -2","option_b":"x = 8","option_c":"x = -2","option_d":"x = 3 ± 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation |x - 3| = 5 donne x - 3 = 5 ou x - 3 = -5, soit x = 8 ou x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74871,"question":"Le produit de deux nombres négatifs est-il toujours positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car (-a) × (-b) = a × b \u003E 0. Réponse : Vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]