Quiz — Lycée Médenine - DC 1 2013.pdf

Question 1 sur 5 10:00

[{"id":1171,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 2x + 7, on soustrait 2x des deux côtés : x - 5 = 7. Ensuite, on ajoute 5 : x = 12. C'est une équation du premier degré classique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 12\", \"b\": \"x = 2\", \"c\": \"x = -2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":1172,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"5 cm","option_d":"12 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"En appliquant le théorème de Pythagore : a² + b² = c². Ici, 6² + b² = 10² → 36 + b² = 100 → b² = 64 → b = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"8 cm\", \"b\": \"4 cm\", \"c\": \"5 cm\", \"d\": \"12 cm\"}}","_debug_options_count":4},{"id":1173,"question":"Quelle est l'équation de la fonction affine passant par les points A(1, 3) et B(2, 5) ?","option_a":"y = 2x + 1","option_b":"y = x + 2","option_c":"y = 3x - 1","option_d":"y = -x + 4","option_e":"","option_f":"","bonne_reponse":"b","explication":"La pente m = (5-3)\/(2-1) = 2. En utilisant le point A : 3 = 2*1 + b → b = 1. L'équation est donc y = 2x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"y = 2x + 1\", \"b\": \"y = x + 2\", \"c\": \"y = 3x - 1\", \"d\": \"y = -x + ","_debug_options_count":4},{"id":1174,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quelle est son aire en cm² ?","option_a":"40 cm²","option_b":"30 cm²","option_c":"26 cm²","option_d":"13 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle est donnée par longueur × largeur : 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"40 cm²\", \"b\": \"30 cm²\", \"c\": \"26 cm²\", \"d\": \"13 cm²\"}}","_debug_options_count":4},{"id":1175,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 7 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 ≤ 7, on soustrait 3 : 2x ≤ 4. Ensuite, on divise par 2 : x ≤ 2. L'inéquation est strictement inférieure ou égale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x ≤ 2\", \"b\": \"x ≥ 2\", \"c\": \"x ≤ -2\", \"d\": \"x ≥ -2\"}}","_debug_options_count":4}]