Quiz — 64fc9930d8130_énoncé_S3.pdf

Question 1 sur 10 20:00

[{"id":37860,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En isolant x, on obtient 3x - 2x = 7 + 5, soit x = 12.","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 = 12\", \"b\": \"x = 2\", \"c\": \"x = -2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":37861,"question":"Le théorème de Pythagore s'applique 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 est valable uniquement pour les 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":37862,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 4 ?","option_a":"f(2) = 2","option_b":"f(2) = 6","option_c":"f(2) = 0","option_d":"f(2) = -2","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 2, on obtient f(2) = 4 - 6 + 4 = 2. L'option correcte est f(2) = 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\": \"f(2) = 2\", \"b\": \"f(2) = 6\", \"c\": \"f(2) = 0\", \"d\": \"f(2) = -2\"}}","_debug_options_count":4},{"id":37863,"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 deux indicateurs différents qui ne sont pas toujours égaux.","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":37864,"question":"Résoudre l'inéquation 2x + 3 \u003E 5x - 4.","option_a":"x \u003C 7\/3","option_b":"x \u003E 7\/3","option_c":"x \u003C -7\/3","option_d":"x \u003E -7\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En isolant x, on obtient 2x - 5x \u003E -4 - 3, soit -3x \u003E -7, puis x \u003C 7\/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 \u003C 7\/3\", \"b\": \"x \u003E 7\/3\", \"c\": \"x \u003C -7\/3\", \"d\": \"x \u003E -7\/3\"}}","_debug_options_count":4},{"id":37865,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"4","option_b":"-4","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient directeur d'une droite d'équation y = mx + p est m. Ici, m = -4.","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\", \"b\": \"-4\", \"c\": \"7\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":37866,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","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":37867,"question":"Calculer la distance entre les points A(1, 2) et B(4, 6).","option_a":"5","option_b":"√25","option_c":"√13","option_d":"√37","option_e":"","option_f":"","bonne_reponse":"d","explication":"La distance est calculée par √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5. L'option correcte est √25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"5\", \"b\": \"√25\", \"c\": \"√13\", \"d\": \"√37\"}}","_debug_options_count":4},{"id":37868,"question":"La fonction f(x) = x² est toujours croissante sur ℝ.","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 sur ]-∞, 0] et croissante sur [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":37869,"question":"Résoudre le système d'équations : { 2x + y = 5 ; x - y = 1 }.","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 0, y = 5","option_d":"x = 3, y = -1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En additionnant les deux équations, on obtient 3x = 6, soit x = 2. En remplaçant x par 2 dans la deuxième équation, on obtient y = 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\": \"x = 2, y = 1\", \"b\": \"x = 1, y = 3\", \"c\": \"x = 0, y = 5\", \"d\": \"x ","_debug_options_count":4}]