Maths 1ère secondaire : Équations, géométrie et fonctions

Question 1 sur 10 10:00

[{"id":26018,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26019,"question":"Le triangle ABC est rectangle en A avec AB = 3 cm et AC = 4 cm. Quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25, donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26020,"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":26021,"question":"Quelle est l'aire d'un rectangle de longueur 6 cm et de largeur 4 cm ?","option_a":"24 cm²","option_b":"10 cm²","option_c":"20 cm²","option_d":"12 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur, soit 6 × 4 = 24 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26022,"question":"La représentation graphique d'une fonction linéaire passe toujours par l'origine du repère.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax, donc f(0) = 0, ce qui signifie qu'elle passe par l'origine (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26023,"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":"A","explication":"On soustrait 1 des deux côtés : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26024,"question":"Le périmètre d'un carré de côté 5 cm est de 20 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté, soit 4 × 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26025,"question":"Quelle est la pente de la droite représentant la fonction f(x) = -3x + 2 ?","option_a":"-3","option_b":"3","option_c":"2","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La pente (coefficient directeur) d'une fonction affine f(x) = ax + b est égale à a, ici a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26026,"question":"L'équation x² - 9 = 0 a pour solutions x = 3 et x = -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant, on obtient (x - 3)(x + 3) = 0, donc les solutions sont bien x = 3 et x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26027,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 2x + 1 ?","option_a":"9","option_b":"7","option_c":"11","option_d":"5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On remplace x par 4 : f(4) = 4² - 2×4 + 1 = 16 - 8 + 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]