Quiz — 6647945b84b3d_Corrigé- prototypes d'examen 3.pdf

Question 1 sur 10 20:00

[{"id":29650,"question":"Quel est le domaine de définition de la fonction f(x) = ln(x-2) ?","option_a":"A. ]2 ; +∞[","option_b":"B. ]-∞ ; 2[","option_c":"C. [2 ; +∞[","option_d":"D. R","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le logarithme est défini uniquement pour les valeurs strictement positives. Ici, x-2 \u003E 0 ⇒ 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\": \"A. ]2 ; +∞[\", \"b\": \"B. ]-∞ ; 2[\", \"c\": \"C. [2 ; +∞[\", \"d\": ","_debug_options_count":4},{"id":29651,"question":"La fonction f(x) = x² est paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction paire vérifie f(-x) = f(x). Or, (-x)² = x², donc f est paire.","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":29652,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"A. 6x + 2","option_b":"B. 3x + 2","option_c":"C. 6x² + 2","option_d":"D. 6x + 2x - 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme se calcule terme par terme : (3x²)' = 6x, (2x)' = 2, et (-5)' = 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\": \"A. 6x + 2\", \"b\": \"B. 3x + 2\", \"c\": \"C. 6x² + 2\", \"d\": \"D. 6x + 2","_debug_options_count":4},{"id":29653,"question":"Dans un circuit électrique en série, l'intensité du courant est la même dans tous les dipôles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En série, le courant est constant dans tout le circuit, car il n'a qu'un seul chemin possible.","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":29654,"question":"Quelle est la solution de l'équation 2x - 3 = 7 ?","option_a":"A. x = 2","option_b":"B. x = 5","option_c":"C. x = -2","option_d":"D. x = 10","option_e":"","option_f":"","bonne_reponse":"b","explication":"2x - 3 = 7 ⇒ 2x = 10 ⇒ 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\": \"A. x = 2\", \"b\": \"B. x = 5\", \"c\": \"C. x = -2\", \"d\": \"D. x = 10\"}}","_debug_options_count":4},{"id":29655,"question":"La photosynthèse produit du dioxygène.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La photosynthèse permet aux plantes de produire du dioxygène (O₂) à partir de CO₂ et d'eau.","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":29656,"question":"Quel est le résultat de ∫(2x + 1)dx ?","option_a":"A. x² + x + C","option_b":"B. 2x² + x + C","option_c":"C. x² + C","option_d":"D. x + C","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'intégrale de 2x est x² et celle de 1 est x. On ajoute la constante C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. x² + x + C\", \"b\": \"B. 2x² + x + C\", \"c\": \"C. x² + C\", \"d\": ","_debug_options_count":4},{"id":29657,"question":"La loi d'Ohm s'écrit U = R × I.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La loi d'Ohm relie la tension (U), la résistance (R) et l'intensité (I) par la formule U = R × I.","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":29658,"question":"Quelle est la limite de la fonction f(x) = (x² - 1)\/(x - 1) lorsque x tend vers 1 ?","option_a":"A. 0","option_b":"B. 1","option_c":"C. 2","option_d":"D. +∞","option_e":"","option_f":"","bonne_reponse":"c","explication":"Factorisons : (x² - 1)\/(x - 1) = (x-1)(x+1)\/(x-1) = x+1. La limite est donc 1+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\": \"A. 0\", \"b\": \"B. 1\", \"c\": \"C. 2\", \"d\": \"D. +∞\"}}","_debug_options_count":4},{"id":29659,"question":"Le pH d'une solution acide est inférieur à 7.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, une solution acide a un pH \u003C 7, neutre si pH = 7, et basique si pH \u003E 7.","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}]