Quiz Mathématiques — Devoir de Contrôle n°1 (1ère année secondaire)

Question 1 sur 10 10:00

[{"id":78562,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 10,33","option_c":"x = 5","option_d":"x = 21","option_e":"","option_f":"","bonne_reponse":"A","explication":"On isole x : 3x = 16 + 5 → 3x = 21 → x = 21\/3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78563,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, alors BC mesure :","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 → BC² = 9 + 16 = 25 → BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78564,"question":"Vrai ou Faux ? L’inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On résout : 2x \u003E 4 → x \u003E 2. L’affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78565,"question":"Quelle est la valeur de l’expression 2a² - 3a + 1 pour a = -1 ?","option_a":"6","option_b":"0","option_c":"-4","option_d":"4","option_e":"","option_f":"","bonne_reponse":"C","explication":"On remplace a par -1 : 2(-1)² - 3(-1) + 1 = 2(1) + 3 + 1 = 2 + 3 + 1 = 6. L’option correcte est donc 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78566,"question":"Vrai ou Faux ? Dans un cercle, tous les rayons sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un rayon est un segment reliant le centre à un point du cercle. Tous les rayons d’un même cercle sont donc égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78567,"question":"Quelle est la solution de l’inéquation -2x + 5 ≤ 1 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x ≥ -2","option_d":"x ≤ -2","option_e":"","option_f":"","bonne_reponse":"B","explication":"On résout : -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, on inverse le sens de l’inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78568,"question":"Dans un triangle isocèle, les angles à la base sont :","option_a":"égaux","option_b":"complémentaires","option_c":"supplémentaires","option_d":"différents","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78569,"question":"Vrai ou Faux ? La fonction f(x) = 2x + 1 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. Ici, a = 2 et b = 1, donc c’est une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78570,"question":"Quelle est la valeur de x dans l’équation 4(x - 3) = 2x + 8 ?","option_a":"x = 10","option_b":"x = 5","option_c":"x = 8","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"On développe : 4x - 12 = 2x + 8 → 4x - 2x = 8 + 12 → 2x = 20 → x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78571,"question":"Vrai ou Faux ? Le périmètre d’un carré de côté c est égal à 4c.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d’un carré est la somme de ses 4 côtés égaux : P = c + c + c + c = 4c. L’affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]