Quiz — Devoir de Contrôle N°4 - Math - 2ème Sciences (2011-2012) Mr Mhamdi Abderrazek.pdf

Question 1 sur 10 20:00

[{"id":14859,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation x² - 5x + 6 = 0 se factorise en (x-2)(x-3) = 0. Les solutions sont donc x = 2 et 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 = 2 ou x = 3\", \"b\": \"x = -2 ou x = -3\", \"c\": \"x = 1 ou x = 6\", ","_debug_options_count":4},{"id":14860,"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 énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Il ne s'applique donc 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":14861,"question":"Quelle est la médiane d'une série statistique dont les valeurs sont : 2, 4, 6, 8, 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour une série de 5 valeurs (impair), la médiane est la valeur centrale une fois les données ordonnées. Ici, la médiane est 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\": \"4\", \"b\": \"6\", \"c\": \"8\", \"d\": \"10\"}}","_debug_options_count":4},{"id":14862,"question":"Si f(x) = 3x + 2, quelle est l'image de x = -1 par cette fonction ?","option_a":"-1","option_b":"-3","option_c":"1","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par -1 dans f(x) = 3x + 2, on obtient f(-1) = 3*(-1) + 2 = -3 + 2 = -1. L'image de -1 est donc -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-1\", \"b\": \"-3\", \"c\": \"1\", \"d\": \"-5\"}}","_debug_options_count":4},{"id":14863,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La probabilité d'un événement impossible est égale à 0, tandis que celle d'un événement certain est égale à 1.","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":14864,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x-3)(x+3)","option_b":"(x-9)(x+1)","option_c":"(x-3)²","option_d":"(x+3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés, donc elle se factorise en (x-3)(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)(x+3)\", \"b\": \"(x-9)(x+1)\", \"c\": \"(x-3)²\", \"d\": \"(x+3)²\"}}","_debug_options_count":4},{"id":14865,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors ce triangle est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En vérifiant avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle en B.","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":14866,"question":"Quelle est la moyenne d'une série statistique dont les valeurs sont : 10, 20, 30 ?","option_a":"15","option_b":"20","option_c":"25","option_d":"30","option_e":"","option_f":"","bonne_reponse":"b","explication":"La moyenne se calcule en additionnant toutes les valeurs et en divisant par le nombre de valeurs : (10 + 20 + 30) \/ 3 = 60 \/ 3 = 20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"15\", \"b\": \"20\", \"c\": \"25\", \"d\": \"30\"}}","_debug_options_count":4},{"id":14867,"question":"Si g(x) = x² - 4x + 4, quelle est la valeur de g(2) ?","option_a":"0","option_b":"4","option_c":"-4","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans g(x) = x² - 4x + 4, on obtient g(2) = 4 - 8 + 4 = 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\": \"0\", \"b\": \"4\", \"c\": \"-4\", \"d\": \"8\"}}","_debug_options_count":4},{"id":14868,"question":"La fonction f(x) = x² est toujours croissante sur son ensemble de définition.","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 ; +∞[. Elle n'est donc 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}]