Maths Seconde : Fonctions, Équations et Géométrie

Question 1 sur 10 10:00

[{"id":27448,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résoudre 3x - 5 = 7 : ajouter 5 des deux côtés donne 3x = 12, puis diviser par 3 donne x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27449,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","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, ici a = 2 et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27450,"question":"Quelle est l'image de -2 par la fonction f(x) = 5x - 1 ?","option_a":"-11","option_b":"9","option_c":"-9","option_d":"11","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calculer f(-2) = 5*(-2) - 1 = -10 - 1 = -11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27451,"question":"L'inéquation 2x + 7 \u003E 3 a pour solution :","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":"Résoudre 2x + 7 \u003E 3 : soustraire 7 donne 2x \u003E -4, puis diviser par 2 donne x \u003E -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27452,"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":27453,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine f(x) = ax + b a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27454,"question":"Résoudre l'inéquation -3x + 1 ≤ 10 :","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Résoudre -3x + 1 ≤ 10 : soustraire 1 donne -3x ≤ 9, puis diviser par -3 (inversion du sens) donne x ≥ -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27455,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal :","option_a":"À la somme des carrés des deux autres côtés","option_b":"Au produit des deux autres côtés","option_c":"À la différence des carrés des deux autres côtés","option_d":"Au carré de la moyenne des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est l'énoncé du théorème de Pythagore : hypoténuse² = côté1² + côté2².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27456,"question":"La fonction g(x) = x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire est de la forme f(x) = ax, ici g(x) = x² est une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27457,"question":"Quelle est la solution de l'équation 4(x - 2) = 2x + 8 ?","option_a":"x = 8","option_b":"x = 6","option_c":"x = 4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développer 4(x - 2) = 4x - 8, puis résoudre 4x - 8 = 2x + 8 : soustraire 2x donne 2x - 8 = 8, ajouter 8 donne 2x = 16, donc x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]