Quiz Mathématiques — Première Année : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":15758,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = -2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en ajoutant 7, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15759,"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 sous la forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15760,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"-4","option_b":"1","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x dans l'équation réduite de la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15761,"question":"L'aire d'un triangle rectangle de côtés 3 cm et 4 cm est de 12 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire se calcule par (3 × 4) \/ 2 = 6 cm², donc l'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15762,"question":"Résoudre 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":"En factorisant, on obtient (x - 2)(x - 3) = 0, donc les solutions sont 2 et 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15763,"question":"La représentation graphique d'une fonction linéaire passe-t-elle toujours par l'origine ?","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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15764,"question":"Quel est le périmètre d'un carré de côté 5 cm ?","option_a":"20 cm","option_b":"25 cm","option_c":"10 cm","option_d":"15 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est 4 × côté, donc 4 × 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15765,"question":"L'équation 2x² + 3x - 5 = 0 a-t-elle deux solutions réelles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = 9 + 40 = 49 \u003E 0, donc il y a deux solutions réelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15766,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"-1","option_b":"3","option_c":"1","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"C","explication":"En remplaçant x par 2, on obtient f(2) = 4 - 6 + 1 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15767,"question":"Un triangle isocèle a toujours deux angles égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux côtés égaux, ce qui implique deux angles égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]