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Question 1 sur 10 20:00

[{"id":14479,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 5","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 5 = 11, soustrayez 5 des deux côtés : 2x = 6. Divisez ensuite par 2 : 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\", \"b\": \"x = 4\", \"c\": \"x = 5\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":14480,"question":"Le milieu du segment [AB] avec A(2; 3) et B(4; 7) a pour coordonnées :","option_a":"(3; 5)","option_b":"(2; 7)","option_c":"(6; 10)","option_d":"(1; 2)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les coordonnées du milieu M sont données par ((xA + xB)\/2 ; (yA + yB)\/2) = ((2+4)\/2 ; (3+7)\/2) = (3; 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"(3; 5)\", \"b\": \"(2; 7)\", \"c\": \"(6; 10)\", \"d\": \"(1; 2)\"}}","_debug_options_count":4},{"id":14481,"question":"Vrai ou Faux ? La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane et la moyenne sont deux indicateurs différents. La médiane est la valeur centrale, tandis que la moyenne est le résultat de la somme des valeurs divisée par leur nombre.","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":14482,"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)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés, qui se factorise en (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":14483,"question":"Vrai ou Faux ? Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":14484,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation x² - 4x + 4 = 0 est un carré parfait : (x - 2)² = 0. La solution est donc x = 2 (racine double).","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 = -2\", \"c\": \"x = 4\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":14485,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors ce triangle est :","option_a":"Rectangle en B","option_b":"Rectangle en A","option_c":"Rectangle en C","option_d":"Non rectangle","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vérifions si AB² + BC² = AC² : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Rectangle en B\", \"b\": \"Rectangle en A\", \"c\": \"Rectangle en C\", \"d","_debug_options_count":4},{"id":14486,"question":"Vrai ou Faux ? La moyenne d'une série statistique est toujours un nombre entier.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La moyenne peut être un nombre décimal, notamment si la somme des valeurs n'est pas divisible 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\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":14487,"question":"Quelle est la valeur de f(2) si f(x) = 3x - 5 ?","option_a":"1","option_b":"-1","option_c":"11","option_d":"7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour calculer f(2), remplacez x par 2 dans l'expression : f(2) = 3*2 - 5 = 6 - 5 = 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\": \"1\", \"b\": \"-1\", \"c\": \"11\", \"d\": \"7\"}}","_debug_options_count":4},{"id":14488,"question":"Vrai ou Faux ? Une équation du second degré a toujours deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une équation du second degré peut avoir 0, 1 ou 2 solutions réelles, selon le discriminant (Δ). Si Δ \u003C 0, il n'y a pas de solution réelle.","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}]