Quiz : Maîtrisez les fonctions et équations de Seconde !

Question 1 sur 10 10:00

[{"id":59237,"question":"Quelle est l’image de 3 par la fonction f(x) = 2x + 1 ?","option_a":"5","option_b":"7","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 3 dans f(x) = 2x + 1, on obtient f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59238,"question":"L’équation 3x - 5 = 1 a pour solution x = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 3x - 5 = 1, on obtient 3x = 6, donc x = 2. L’affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59239,"question":"Quelle est la solution de l’inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 1","option_b":"x \u003E 2","option_c":"x \u003E 3","option_d":"x \u003E 4","option_e":"","option_f":"","bonne_reponse":"C","explication":"En résolvant 2x + 3 \u003E 7, on obtient 2x \u003E 4, donc x \u003E 2. La solution est x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59240,"question":"La représentation graphique d’une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s’écrit f(x) = ax + b, où a et b sont des réels. Sa représentation graphique est une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59241,"question":"Quelle est la nature de la fonction f(x) = -3x² + 2x - 1 ?","option_a":"Affine","option_b":"Linéaire","option_c":"Du second degré","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"C","explication":"La fonction f(x) = -3x² + 2x - 1 est une fonction du second degré car elle contient un terme en x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59242,"question":"L’inéquation 5 - x ≤ 2 a pour solution x ≥ 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 5 - x ≤ 2, on obtient -x ≤ -3, donc x ≥ 3. L’affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59243,"question":"Quelle est la pente de la droite d’équation y = 4x - 7 ?","option_a":"4","option_b":"-7","option_c":"0","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l’équation y = ax + b, a représente la pente. Ici, a = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59244,"question":"La fonction f(x) = x² est toujours croissante sur ℝ.","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 sur ]-∞, 0] et croissante sur [0, +∞[. Elle n’est pas toujours croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59245,"question":"Quelle est la solution de l’équation 2(x - 3) = 4x - 8 ?","option_a":"x = -1","option_b":"x = 1","option_c":"x = 2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant et résolvant 2(x - 3) = 4x - 8, on obtient 2x - 6 = 4x - 8, donc -2x = -2, soit x = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":59246,"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 : si ABC est un triangle rectangle en A, alors BC² = AB² + AC².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]