Quiz — Lycée Pilote Sousse - DC 2 2018 (+Corrigé).pdf

Question 1 sur 10 20:00

[{"id":32910,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 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\": \"x = 4\", \"b\": \"x = 12\", \"c\": \"x = -4\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":32911,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La solution est x \u003E 2, donc l'affirmation est fausse.","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":32912,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 5 ?","option_a":"f(x) = (x - 3)² - 4","option_b":"f(x) = (x - 2)² + 1","option_c":"f(x) = (x + 3)² - 4","option_d":"f(x) = x² - 6x + 9","option_e":"","option_f":"","bonne_reponse":"a","explication":"La forme canonique s'obtient en complétant le carré : f(x) = (x - 3)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\": \"f(x) = (x - 3)² - 4\", \"b\": \"f(x) = (x - 2)² + 1\", \"c\": \"f(x) = ","_debug_options_count":4},{"id":32913,"question":"La fonction f(x) = 2x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, donc c'est vrai.","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":32914,"question":"Quelle est la solution de l'inéquation -3x + 4 ≤ 10 ?","option_a":"x ≥ -2","option_b":"x ≤ -2","option_c":"x ≥ 2","option_d":"x ≤ 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"On soustrait 4 : -3x ≤ 6, puis on divise par -3 (en inversant le sens) : 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 ≥ -2\", \"b\": \"x ≤ -2\", \"c\": \"x ≥ 2\", \"d\": \"x ≤ 2\"}}","_debug_options_count":4},{"id":32915,"question":"La représentation graphique d'une fonction linéaire est toujours une droite passant par l'origine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit f(x) = ax, donc sa représentation passe par l'origine.","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":32916,"question":"Quelle est la solution de l'équation (x - 2)(x + 3) = 0 ?","option_a":"x = 2 ou x = -3","option_b":"x = -2 ou x = 3","option_c":"x = 2 ou x = 3","option_d":"x = -2 ou x = -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un produit de facteurs est nul si l'un des facteurs est nul : x - 2 = 0 ou x + 3 = 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\": \"x = 2 ou x = -3\", \"b\": \"x = -2 ou x = 3\", \"c\": \"x = 2 ou x = 3\", ","_debug_options_count":4},{"id":32917,"question":"La fonction f(x) = x² + 4x - 5 admet-elle un minimum ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une fonction du second degré avec a \u003E 0, donc elle admet un minimum.","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":32918,"question":"Quelle est la solution de l'équation 2(x + 1) = 3x - 4 ?","option_a":"x = 6","option_b":"x = -6","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"On développe : 2x + 2 = 3x - 4, puis on isole x : x = 6.","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 = 6\", \"b\": \"x = -6\", \"c\": \"x = 2\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":32919,"question":"L'inégalité 5 \u003E -2 est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"5 est toujours supérieur à -2, donc l'inégalité est 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}]