Quiz interactif généré par IA à partir du document : cor ex1 S10 Mr jalleli.pdf
Question 1 sur 10 20:00
[{"id":86193,"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 = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute d'abord 5 aux deux côtés : 3x = 15, puis on divise par 3 : 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 = 15\"}}","_debug_options_count":4},{"id":86194,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":86195,"question":"Quel est le résultat de (2\/3) + (1\/6) ?","option_a":"3\/9","option_b":"5\/6","option_c":"1\/2","option_d":"4\/6","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour additionner ces fractions, on les met au même dénominateur : (4\/6) + (1\/6) = 5\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"3\/9\", \"b\": \"5\/6\", \"c\": \"1\/2\", \"d\": \"4\/6\"}}","_debug_options_count":4},{"id":86196,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Cette propriété s'appelle :","option_a":"Théorème de Pythagore","option_b":"Théorème de Thalès","option_c":"Propriété des angles","option_d":"Formule d'Al-Kashi","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette propriété est connue sous le nom de théorème de Pythagore, fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Théorème de Pythagore\", \"b\": \"Théorème de Thalès\", \"c\": \"Pro","_debug_options_count":4},{"id":86197,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvons l'inéquation : 2x \u003E 4, donc x \u003E 2. La solution est donc x \u003E 2, ce qui est correct.","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":86198,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une droite parallèle à l'axe des abscisses","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine du repère.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite passant par l'origine\", \"b\": \"Une parabole\", \"c\": \"Un ","_debug_options_count":4},{"id":86199,"question":"Si un quadrilatère a ses diagonales qui se coupent en leur milieu, alors c'est un :","option_a":"Parallélogramme","option_b":"Losange","option_c":"Rectangle","option_d":"Carré","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un quadrilatère dont les diagonales se coupent en leur milieu est un parallélogramme, selon une propriété géométrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Parallélogramme\", \"b\": \"Losange\", \"c\": \"Rectangle\", \"d\": \"Carré","_debug_options_count":4},{"id":86200,"question":"La moyenne de trois nombres 4, 6 et 8 est :","option_a":"5","option_b":"6","option_c":"7","option_d":"8","option_e":"","option_f":"","bonne_reponse":"b","explication":"La moyenne se calcule en additionnant les nombres (4 + 6 + 8 = 18) puis en divisant par 3 : 18 \/ 3 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"5\", \"b\": \"6\", \"c\": \"7\", \"d\": \"8\"}}","_debug_options_count":4},{"id":86201,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est décroissante pour x \u003C 0 et croissante pour x \u003E 0, donc elle n'est pas toujours croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":86202,"question":"Quel est le développement de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - 5x - 6","option_c":"x² + x + 6","option_d":"x² - x - 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant (x + 3)(x - 2), on obtient x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x² + x - 6\", \"b\": \"x² - 5x - 6\", \"c\": \"x² + x + 6\", \"d\": \"x² ","_debug_options_count":4}]
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