Quiz interactif : Algèbre et Géométrie pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":73842,"question":"Quelle est la solution de l'équation 3x - 5 = 1 ?","option_a":"x = 2","option_b":"x = 1","option_c":"x = -2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 1 → 3x = 6 → x = 2. La solution est x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73843,"question":"Le théorème de Thalès s'applique uniquement dans un triangle rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique dans deux triangles ayant des côtés parallèles, pas uniquement dans un triangle rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73844,"question":"Quelle est l'image de 3 par la fonction f(x) = 2x + 1 ?","option_a":"7","option_b":"5","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(3) = 2*3 + 1 = 7. L'image de 3 est 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73845,"question":"Dans un triangle ABC rectangle en A, si AB = 3 et AC = 4, quelle est la longueur de BC ?","option_a":"5","option_b":"7","option_c":"6","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 → BC = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73846,"question":"La fonction f(x) = -x + 2 est-elle croissante ou décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -1, donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73847,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. La solution est x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73848,"question":"Dans un triangle équilatéral de côté 6 cm, quelle est l'aire ?","option_a":"9√3 cm²","option_b":"18 cm²","option_c":"6√3 cm²","option_d":"36 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle équilatéral est (√3\/4)*côté² = (√3\/4)*36 = 9√3 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73849,"question":"La racine carrée de 16 est-elle égale à 4 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"√16 = 4, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73850,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73851,"question":"Le périmètre d'un carré de côté 5 cm est-il égal à 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 est 4*côté = 4*5 = 20 cm. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]