Quiz interactif généré par IA à partir du document : cor ex1+2 S12 Mr smaoui.pdf
Question 1 sur 10 20:00
[{"id":3681,"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 = -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 = 2\", \"c\": \"x = 12\/3\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":3682,"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. Ici, a = 2 et b = 1, donc c'est bien une fonction affine.","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":3683,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Une droite parallèle à l'axe des abscisses","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite passant par l'origine\", \"b\": \"Une parabole\", \"c\": \"Une","_debug_options_count":4},{"id":3684,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4, puis on divise par 2 : 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\": \"x \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 5\", \"d\": \"x \u003C 5\"}}","_debug_options_count":4},{"id":3685,"question":"La fonction f(x) = x² est-elle 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, +∞[. Elle n'est donc pas croissante sur tout ℝ.","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":3686,"question":"Quelle est la solution de l'inéquation -3x + 2 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour résoudre -3x + 2 ≤ 11, on soustrait 2 : -3x ≤ 9, puis on divise par -3 (en inversant le sens de l'inégalité) : x ≥ -3.","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 ≥ -3\", \"b\": \"x ≤ -3\", \"c\": \"x ≥ 3\", \"d\": \"x ≤ 3\"}}","_debug_options_count":4},{"id":3687,"question":"La droite d'équation y = -2x + 5 a un coefficient directeur égal à :","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -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\": \"5\", \"b\": \"-2\", \"c\": \"2\", \"d\": \"-5\"}}","_debug_options_count":4},{"id":3688,"question":"L'équation x² - 4x + 4 = 0 admet :","option_a":"Deux solutions distinctes","option_b":"Une solution double","option_c":"Aucune solution","option_d":"Trois solutions","option_e":"","option_f":"","bonne_reponse":"b","explication":"Cette équation peut s'écrire (x - 2)² = 0, donc elle admet une solution double : 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\": \"Deux solutions distinctes\", \"b\": \"Une solution double\", \"c\": \"Auc","_debug_options_count":4},{"id":3689,"question":"La fonction f(x) = 1\/x est-elle définie en 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":3690,"question":"Quelle est la solution de l'équation |x - 3| = 5 ?","option_a":"x = 8 ou x = -2","option_b":"x = 3 ou x = -5","option_c":"x = 2 ou x = 8","option_d":"x = -3 ou x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation |x - 3| = 5 donne deux solutions : x - 3 = 5 ⇒ x = 8, et x - 3 = -5 ⇒ x = -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\": \"x = 8 ou x = -2\", \"b\": \"x = 3 ou x = -5\", \"c\": \"x = 2 ou x = 8\", ","_debug_options_count":4}]
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