Quiz interactif : Maîtrisez les maths de 4ème année secondaire !

Question 1 sur 10 10:00

[{"id":48151,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"6x + 2","option_b":"6x² + 2","option_c":"3x + 2","option_d":"6x - 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction polynôme se calcule terme par terme : f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48152,"question":"Dans une expérience aléatoire, la probabilité d'un événement A est P(A) = 0,4. Quelle est la probabilité de l'événement contraire ?","option_a":"0,4","option_b":"0,6","option_c":"0,2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité de l'événement contraire est P(A̅) = 1 - P(A) = 1 - 0,4 = 0,6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48153,"question":"Vrai ou Faux : L'équation x² + 4x + 5 = 0 admet deux solutions réelles distinctes.","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 l'équation n'a pas de solution réelle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48154,"question":"Quelle est l'aire d'un triangle rectangle dont les côtés de l'angle droit mesurent 3 cm et 4 cm ?","option_a":"6 cm²","option_b":"7 cm²","option_c":"12 cm²","option_d":"5 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle rectangle est (base × hauteur)\/2 = (3 × 4)\/2 = 6 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48155,"question":"Vrai ou Faux : La fonction f(x) = 1\/x est décroissante sur son ensemble de définition.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = 1\/x est décroissante sur ]-∞,0[ et sur ]0,+∞[, mais pas sur son ensemble de définition global.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48156,"question":"Quel est le volume d'une sphère de rayon r = 3 cm ?","option_a":"36π cm³","option_b":"12π cm³","option_c":"27π cm³","option_d":"4π cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'une sphère est V = (4\/3)πr³ = (4\/3)π × 27 = 36π cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48157,"question":"Dans une classe de 30 élèves, 18 sont des filles. Quelle est la probabilité de choisir une fille au hasard ?","option_a":"0,4","option_b":"0,6","option_c":"0,3","option_d":"0,5","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité est P(fille) = 18\/30 = 0,6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48158,"question":"Vrai ou Faux : La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont égales uniquement si la distribution est symétrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48159,"question":"Quelle est la solution de l'inéquation 2x - 5 ≤ 3x + 1 ?","option_a":"x ≥ -6","option_b":"x ≤ -6","option_c":"x ≥ 6","option_d":"x ≤ 6","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x - 5 ≤ 3x + 1 ⇒ -5 - 1 ≤ 3x - 2x ⇒ -6 ≤ x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48160,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 3 ?","option_a":"-2","option_b":"3","option_c":"2","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = mx + p, m est le coefficient directeur. Ici, m = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]