Quiz interactif généré par IA à partir du document : 3ème Maths S1 2019-2020.pdf
Question 1 sur 10 20:00
[{"id":47348,"question":"Quelle est la solution de l'équation 2x + 3 = 7 ?","option_a":"x = 1","option_b":"x = 2","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"b","explication":"En soustrayant 3 des deux côtés, on obtient 2x = 4, puis en divisant par 2, x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 1\", \"b\": \"x = 2\", \"c\": \"x = 3\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":47349,"question":"La fonction f(x) = 3x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire est de la forme f(x) = ax + b. Ici, f(x) = 3x² est une fonction quadratique.","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":47350,"question":"Quel est le cosinus d'un angle de 60° ?","option_a":"0","option_b":"0.5","option_c":"√3\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le cosinus de 60° est égal à 0.5, une valeur fondamentale en trigonométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"0.5\", \"c\": \"√3\/2\", \"d\": \"1\"}}","_debug_options_count":4},{"id":47351,"question":"La moyenne de 5, 7, 9 et 11 est-elle 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. L'affirmation est donc vraie.","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":47352,"question":"Quelle est la solution de l'inéquation 3x - 5 \u003E 1 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En ajoutant 5 des deux côtés, on obtient 3x \u003E 6, puis en divisant par 3, 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\": \"x \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 1\", \"d\": \"x \u003C 1\"}}","_debug_options_count":4},{"id":47353,"question":"Le théorème de Pythagore s'applique-t-il uniquement aux triangles rectangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","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":47354,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé à 6 faces ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"c","explication":"Il y a 3 nombres pairs (2, 4, 6) sur 6 faces, donc la probabilité est 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"1\/6\", \"b\": \"1\/3\", \"c\": \"1\/2\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":47355,"question":"La fonction f(x) = -2x + 5 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 -2, 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":47356,"question":"Quel est le sinus d'un angle de 30° ?","option_a":"0","option_b":"0.5","option_c":"√2\/2","option_d":"√3\/2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le sinus de 30° est égal à 0.5, une valeur fondamentale en trigonométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"0.5\", \"c\": \"√2\/2\", \"d\": \"√3\/2\"}}","_debug_options_count":4},{"id":47357,"question":"La médiane d'une série statistique est toujours égale à la moyenne ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane et la moyenne sont des indicateurs différents. Elles ne sont égales que dans des cas particuliers.","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}]
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