Quiz interactif généré par IA à partir du document : Lycée Pilote Médenine - DC 1 2010.pdf
Question 1 sur 10 20:00
[{"id":1686,"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 = 10\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","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 = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 10\/3\"}}","_debug_options_count":4},{"id":1687,"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":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 → BC = 5 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\": \"5 cm\", \"b\": \"7 cm\", \"c\": \"6 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":1688,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x \u003E 4 → x \u003E 2. L'inéquation est donc vraie pour x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":1689,"question":"Quelle est la valeur de l'expression 2a + 3b si a = 1 et b = -2 ?","option_a":"-4","option_b":"-1","option_c":"4","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"2(1) + 3(-2) = 2 - 6 = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-4\", \"b\": \"-1\", \"c\": \"4\", \"d\": \"1\"}}","_debug_options_count":4},{"id":1690,"question":"Un carré a un périmètre de 20 cm. Quelle est la longueur de son côté ?","option_a":"4 cm","option_b":"5 cm","option_c":"10 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Périmètre = 4 × côté → 20 = 4 × côté → côté = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"4 cm\", \"b\": \"5 cm\", \"c\": \"10 cm\", \"d\": \"20 cm\"}}","_debug_options_count":4},{"id":1691,"question":"L'aire d'un rectangle de longueur L et de largeur l est donnée par A = L × l.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule de l'aire d'un rectangle est bien A = L × l.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":1692,"question":"Résoudre l'équation x² - 5x + 6 = 0.","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les solutions sont obtenues en factorisant : (x-2)(x-3) = 0 → x = 2 ou x = 3.","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 ou x = 3\", \"b\": \"x = 1 ou x = 6\", \"c\": \"x = -2 ou x = -3\", ","_debug_options_count":4},{"id":1693,"question":"Un angle plat mesure :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un angle plat mesure 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":1694,"question":"Quelle est la valeur de l'expression 3(x + 2) - 5 si x = 4 ?","option_a":"13","option_b":"9","option_c":"19","option_d":"21","option_e":"","option_f":"","bonne_reponse":"c","explication":"3(4 + 2) - 5 = 3(6) - 5 = 18 - 5 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"13\", \"b\": \"9\", \"c\": \"19\", \"d\": \"21\"}}","_debug_options_count":4},{"id":1695,"question":"Le périmètre d'un cercle de rayon r est donné par P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du périmètre d'un cercle est bien P = 2πr.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]
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