Quiz — devoir de controle n_1 2012-2013.docx

Question 1 sur 10 20:00

[{"id":23774,"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":"b","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des 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\": \"b\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 10\/3\"}}","_debug_options_count":4},{"id":23775,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","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\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23776,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"f(2) = 0","option_b":"f(2) = -2","option_c":"f(2) = 2","option_d":"f(2) = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans f(x), on obtient f(2) = 4 - 6 + 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\": \"f(2) = 0\", \"b\": \"f(2) = -2\", \"c\": \"f(2) = 2\", \"d\": \"f(2) = 4\"}}","_debug_options_count":4},{"id":23777,"question":"La fonction f(x) = 2x + 1 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur (2) est positif, donc la fonction est croissante.","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":23778,"question":"Résoudre l'inéquation 2x - 7 \u003E 3.","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En ajoutant 7 des deux côtés (2x \u003E 10) puis en divisant par 2 (x \u003E 5), on obtient la solution.","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 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":23779,"question":"Le point A(3; 4) appartient-il au cercle de centre O(0; 0) et de rayon 5 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La distance OA = √(3² + 4²) = 5, donc A appartient au cercle.","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":23780,"question":"Quelle est la forme canonique de f(x) = x² - 4x + 3 ?","option_a":"f(x) = (x - 2)² - 1","option_b":"f(x) = (x - 1)² + 2","option_c":"f(x) = (x + 2)² - 1","option_d":"f(x) = (x - 2)² + 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En complétant le carré, on obtient f(x) = (x - 2)² - 4 + 3 = (x - 2)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(x) = (x - 2)² - 1\", \"b\": \"f(x) = (x - 1)² + 2\", \"c\": \"f(x) = ","_debug_options_count":4},{"id":23781,"question":"La droite d'équation y = 2x - 1 passe-t-elle par le point B(1; 1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 1 dans l'équation, on obtient y = 1, donc B appartient à la droite.","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":23782,"question":"Quel est le taux de variation de la fonction f(x) = x² entre x = 1 et x = 3 ?","option_a":"4","option_b":"2","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le taux de variation est (f(3) - f(1)) \/ (3 - 1) = (9 - 1) \/ 2 = 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\": \"2\", \"c\": \"6\", \"d\": \"8\"}}","_debug_options_count":4},{"id":23783,"question":"La fonction f(x) = -3x + 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 (-3) est négatif, 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}]