Mathématiques 4ème année secondaire : Testez vos connaissances

Question 1 sur 10 10:00

[{"id":68582,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les solutions s'obtiennent en factorisant l'équation : (x-2)(x-3) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68583,"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 est décroissante pour x \u003C 0 et croissante pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68584,"question":"Quel est le discriminant de l'équation 2x² + 4x - 1 = 0 ?","option_a":"Δ = 24","option_b":"Δ = 12","option_c":"Δ = 8","option_d":"Δ = 36","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant se calcule par Δ = b² - 4ac = 16 + 8 = 24.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68585,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore : c² = a² + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68586,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement impossible est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68587,"question":"Quelle est la dérivée de la fonction f(x) = 3x³ - 2x + 5 ?","option_a":"f'(x) = 9x² - 2","option_b":"f'(x) = 6x² - 2","option_c":"f'(x) = 3x² - 2x","option_d":"f'(x) = 9x² + 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée se calcule terme à terme : 9x² - 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68588,"question":"Un vecteur de norme 5 a pour coordonnées (3, 4). Quelle est sa norme ?","option_a":"5","option_b":"7","option_c":"12","option_d":"√(3² + 4²)","option_e":"","option_f":"","bonne_reponse":"A","explication":"La norme se calcule par √(3² + 4²) = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68589,"question":"La somme des angles d'un triangle est toujours 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":68590,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3)\/(x² - 1) quand x tend vers l'infini ?","option_a":"2","option_b":"0","option_c":"1","option_d":"∞","option_e":"","option_f":"","bonne_reponse":"A","explication":"En divisant numérateur et dénominateur par x², on obtient 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68591,"question":"Un événement certain a une probabilité de 0,5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un événement certain a une probabilité de 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]