Quiz : Les bases de l'algèbre et de la géométrie — 1ère année secondaire

Question 1 sur 10 10:00

[{"id":78862,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'équation en isolant x : 3x = 10 + 5 → 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78863,"question":"Le triangle ABC est rectangle en A. Si 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":"Appliquez 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":78864,"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 avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78865,"question":"Quel est le développement de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utilisez la distributivité : x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78866,"question":"L'aire d'un cercle de rayon r est donnée par la formule A = πr². Si r = 2 cm, quelle est l'aire ?","option_a":"4π cm²","option_b":"2π cm²","option_c":"π cm²","option_d":"8π cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Substituez r = 2 dans la formule : A = π × (2)² = 4π cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78867,"question":"La somme des angles d'un triangle est égale à 180°. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78868,"question":"Résolvez l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Isoler x : 2x \u003E 4 → x \u003E 2 (mais la bonne réponse est x \u003E 2, donc option 0. Correction : x \u003E 2 → réponse correcte est 0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78869,"question":"Le volume d'un cube d'arête a est donné par V = a³. Si a = 3 cm, quel est le volume ?","option_a":"9 cm³","option_b":"27 cm³","option_c":"6 cm³","option_d":"12 cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Calculez V = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78870,"question":"La droite d'équation y = -2x + 1 a un coefficient directeur négatif. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -2, qui est bien négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78871,"question":"Quelle est la factorisation de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utilisez l'identité remarquable a² - b² = (a - b)(a + b) : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]