Quiz interactif généré par IA à partir du document : 61b2178a3d656944013541.pdf
Question 1 sur 10 20:00
[{"id":42115,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 5","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne 2x = 6, puis diviser par 2 donne 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 = 3\", \"b\": \"x = 4\", \"c\": \"x = 5\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":42116,"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 x² est décroissante pour x \u003C 0 et croissante pour x \u003E 0.","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":42117,"question":"Quel est le résultat de (3x + 2)(x - 4) ?","option_a":"3x² - 10x - 8","option_b":"3x² - 10x + 8","option_c":"3x² + 10x - 8","option_d":"3x² + 10x + 8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développer : 3x² - 12x + 2x - 8 = 3x² - 10x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"3x² - 10x - 8\", \"b\": \"3x² - 10x + 8\", \"c\": \"3x² + 10x - 8\", \"d","_debug_options_count":4},{"id":42118,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore : c² = a² + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"La somme des carrés des deux autres côtés\", \"b\": \"La différen","_debug_options_count":4},{"id":42119,"question":"La moyenne de 5, 7, 9 et 11 est égale à 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne est (5+7+9+11)\/4 = 32\/4 = 8.","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":42120,"question":"Quel est le domaine de définition de la fonction f(x) = 1\/(x-2) ?","option_a":"Tous les réels sauf 2","option_b":"Tous les réels sauf 0","option_c":"Tous les réels","option_d":"Tous les réels positifs","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fonction n'est pas définie lorsque le dénominateur est nul, soit x - 2 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Tous les réels sauf 2\", \"b\": \"Tous les réels sauf 0\", \"c\": \"Tou","_debug_options_count":4},{"id":42121,"question":"Si un angle d'un triangle mesure 60° et un autre 50°, quel est le troisième angle ?","option_a":"70°","option_b":"80°","option_c":"60°","option_d":"50°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°, donc 180 - 60 - 50 = 70°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"70°\", \"b\": \"80°\", \"c\": \"60°\", \"d\": \"50°\"}}","_debug_options_count":4},{"id":42122,"question":"La fonction linéaire f(x) = -3x est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est négatif (-3), donc la fonction est décroissante.","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":42123,"question":"Résoudre l'inéquation 4x - 7 \u003E 5.","option_a":"x \u003E 3","option_b":"x \u003E 2","option_c":"x \u003C 3","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajouter 7 : 4x \u003E 12, puis diviser par 4 : x \u003E 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 \u003E 3\", \"b\": \"x \u003E 2\", \"c\": \"x \u003C 3\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":42124,"question":"Le périmètre d'un carré de côté 5 cm est égal à :","option_a":"20 cm","option_b":"25 cm","option_c":"15 cm","option_d":"10 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré est 4 × côté = 4 × 5 = 20 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\": \"20 cm\", \"b\": \"25 cm\", \"c\": \"15 cm\", \"d\": \"10 cm\"}}","_debug_options_count":4}]
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