Quiz — item sousse 38 2018 HTA.pdf

Question 1 sur 10 20:00

[{"id":47758,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -4","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 = 2\", \"d\": \"x = -4\"}}","_debug_options_count":4},{"id":47759,"question":"La fonction f(x) = x² est-elle toujours 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, +∞[, donc elle n'est 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},{"id":47760,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 3 ?","option_a":"3","option_b":"-2","option_c":"1","option_d":"2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation réduite y = mx + p, m représente le coefficient directeur. Ici, m = -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\": \"3\", \"b\": \"-2\", \"c\": \"1\", \"d\": \"2\"}}","_debug_options_count":4},{"id":47761,"question":"L'aire d'un triangle est-elle toujours égale à (base × hauteur) \/ 2 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette formule est valable pour tout triangle, qu'il soit rectangle, isocèle ou quelconque.","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":47762,"question":"Quelle est la valeur de sin(π\/2) ?","option_a":"0","option_b":"1","option_c":"-1","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"b","explication":"sin(π\/2) = 1, car π\/2 correspond à un angle de 90° où le sinus atteint sa valeur maximale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"-1\", \"d\": \"1\/2\"}}","_debug_options_count":4},{"id":47763,"question":"La dérivée de f(x) = 3x³ est f'(x) = 9x² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de f(x) = 3x³ est f'(x) = 9x², car d\/dx(x³) = 3x², donc 3 × 3x² = 9x².","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":47764,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"13","option_e":"","option_f":"","bonne_reponse":"a","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 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\": \"7\", \"b\": \"5\", \"c\": \"10\", \"d\": \"13\"}}","_debug_options_count":4},{"id":47765,"question":"La droite d'équation y = 2x + 1 passe-t-elle par le point (0, 1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x = 0 dans l'équation, on obtient y = 1, donc le point (0, 1) appartient à la droite.","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":47766,"question":"Quel est le développement de (x + 2)² ?","option_a":"x² + 4x + 4","option_b":"x² + 2x + 4","option_c":"x² + 4","option_d":"x² + 2x + 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"(x + 2)² = x² + 4x + 4, car (a + b)² = a² + 2ab + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x² + 4x + 4\", \"b\": \"x² + 2x + 4\", \"c\": \"x² + 4\", \"d\": \"x² + 2","_debug_options_count":4},{"id":47767,"question":"La fonction f(x) = 1\/x est-elle définie pour 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 interdite.","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}]