Quiz Mathématiques : Équations, Fonctions et Géométrie — 4ème Année Secondaire

Question 1 sur 10 10:00

[{"id":43996,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = -4","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 ⇒ 3x = 12 ⇒ x = 12\/3 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43997,"question":"La fonction f(x) = 2x + 3 est 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 sous la forme f(x) = ax + b, ce qui est le cas ici avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43998,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 5 ?","option_a":"-3","option_b":"5","option_c":"3","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur d'une droite d'équation y = ax + b est le nombre a, ici a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43999,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est spécifique aux triangles rectangles : c² = a² + b² où c est l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44000,"question":"Résoudre l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44001,"question":"La fonction f(x) = x² est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, ici f(x) = x² est une fonction polynôme de degré 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44002,"question":"Quelle est l'image de 4 par la fonction f(x) = 3x - 2 ?","option_a":"10","option_b":"14","option_c":"8","option_d":"6","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(4) = 3*4 - 2 = 12 - 2 = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44003,"question":"Dans un triangle rectangle, le cosinus d'un angle est égal au rapport de l'hypoténuse sur le côté adjacent.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le cosinus d'un angle dans un triangle rectangle est égal au rapport du côté adjacent sur l'hypoténuse (cos = adjacent\/hypoténuse).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44004,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 5x + 6 = 0 ⇒ (x-2)(x-3) = 0 ⇒ x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44005,"question":"La fonction f(x) = 5 est une fonction constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction constante est de la forme f(x) = k où k est un nombre réel, ici f(x) = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]