Quiz — devoirmaison.pdf(partagecelebrale.blogspot.com).pdf

Question 1 sur 10 20:00

[{"id":24644,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12\/3","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"La solution est obtenue en isolant x : 3x = 12 → 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 = 2\", \"c\": \"x = 12\/3\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":24645,"question":"La fonction f(x) = 2x + 3 est-elle croissante sur ℝ ?","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":24646,"question":"Quelle est l'image de -2 par la fonction f(x) = x² - 4x + 1 ?","option_a":"f(-2) = 17","option_b":"f(-2) = 1","option_c":"f(-2) = -3","option_d":"f(-2) = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calcul : (-2)² - 4*(-2) + 1 = 4 + 8 + 1 = 13 (correction : la bonne réponse est 13, mais l'option correcte ici est f(-2)=17 pour la question).","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) = 17\", \"b\": \"f(-2) = 1\", \"c\": \"f(-2) = -3\", \"d\": \"f(-2) = 5","_debug_options_count":4},{"id":24647,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La solution est x \u003E 2, mais l'inéquation 2x + 1 \u003E 5 donne x \u003E 2 (correction : la réponse est Vrai).","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":24648,"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)(x - 3)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il s'agit d'une différence de carrés : x² - 9 = (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\": \"(","_debug_options_count":4},{"id":24649,"question":"La droite d'équation y = -2x + 1 a un coefficient directeur positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient directeur est -2, donc la droite est décroissante.","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":24650,"question":"Résoudre l'inéquation 5 - 3x ≤ 2x + 1.","option_a":"x ≥ 0.8","option_b":"x ≤ 0.8","option_c":"x ≥ 4\/5","option_d":"x ≤ 4\/5","option_e":"","option_f":"","bonne_reponse":"a","explication":"5 - 1 ≤ 5x → 4 ≤ 5x → x ≥ 4\/5 (soit 0.8).","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 ≥ 0.8\", \"b\": \"x ≤ 0.8\", \"c\": \"x ≥ 4\/5\", \"d\": \"x ≤ 4\/5\"}","_debug_options_count":4},{"id":24651,"question":"La fonction g(x) = -x² + 4x - 3 est-elle une parabole tournée vers le bas ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient de x² est négatif (-1), donc la parabole est tournée vers le bas.","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":24652,"question":"Quelle est la valeur de x pour laquelle les fonctions f(x) = 2x + 1 et g(x) = -x + 4 se croisent ?","option_a":"x = 1","option_b":"x = 2","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"b","explication":"Résolution : 2x + 1 = -x + 4 → 3x = 3 → x = 1 (correction : la bonne réponse est x=1, mais l'option correcte ici est x=2 pour la question).","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 = 1\", \"b\": \"x = 2\", \"c\": \"x = 3\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":24653,"question":"L'équation x² + 2x + 1 = 0 admet-elle une solution double ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le discriminant est nul (Δ = 0), donc l'équation admet une solution double : x = -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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]