Quiz — math-1sciences-1s.doc

Question 1 sur 5 10:00

[{"id":1367,"question":"Quelle est la solution de l'équation 2x + 3 = 7 ?","option_a":"x = 2","option_b":"x = 5","option_c":"x = -2","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 = 7, soustrayez 3 des deux côtés : 2x = 4, puis divisez par 2 : 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 = 2\", \"b\": \"x = 5\", \"c\": \"x = -2\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":1368,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2x","option_d":"f'(x) = 5x² + 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme se calcule terme par terme : (3x²)' = 6x et (2x)' = 2, donc f'(x) = 6x + 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\": \"f'(x) = 6x + 2\", \"b\": \"f'(x) = 3x + 2\", \"c\": \"f'(x) = 6x² + 2x\",","_debug_options_count":4},{"id":1369,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 5 cm et un côté mesure 3 cm, quelle est la longueur du troisième côté ?","option_a":"4 cm","option_b":"6 cm","option_c":"√34 cm","option_d":"2 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : 5² = 3² + x² → 25 = 9 + x² → x² = 16 → x = 4 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"4 cm\", \"b\": \"6 cm\", \"c\": \"√34 cm\", \"d\": \"2 cm\"}}","_debug_options_count":4},{"id":1370,"question":"Quelle est la probabilité de tirer un as dans un jeu de 52 cartes ?","option_a":"1\/13","option_b":"1\/4","option_c":"4\/52","option_d":"1\/52","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 4 as dans un jeu de 52 cartes, donc la probabilité est 4\/52 = 1\/13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/13\", \"b\": \"1\/4\", \"c\": \"4\/52\", \"d\": \"1\/52\"}}","_debug_options_count":4},{"id":1371,"question":"Quelle est la formule de la moyenne arithmétique de n nombres ?","option_a":"(x1 + x2 + ... + xn) \/ n","option_b":"x1 + x2 + ... + xn","option_c":"√(x1² + x2² + ... + xn²) \/ n","option_d":"x1 * x2 * ... * xn","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne arithmétique est la somme des valeurs divisée par le nombre total de valeurs.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"(x1 + x2 + ... + xn) \/ n\", \"b\": \"x1 + x2 + ... + xn\", \"c\": \"√(x","_debug_options_count":4}]