Quiz — 2-Serie1.pdf

Question 1 sur 10 20:00

[{"id":43430,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = -2","option_c":"x = 2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 12.","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 = 12\", \"b\": \"x = -2\", \"c\": \"x = 2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":43431,"question":"La fonction f(x) = x² - 4x + 3 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction est positive seulement pour x ≤ 1 ou x ≥ 3, elle est négative entre 1 et 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":43432,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 5 ?","option_a":"-2","option_b":"5","option_c":"2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est le nombre devant x, ici -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\": \"-2\", \"b\": \"5\", \"c\": \"2\", \"d\": \"1\"}}","_debug_options_count":4},{"id":43433,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore : a² + b² = c² où c est l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"La somme des carrés des deux autres côtés\", \"b\": \"La différen","_debug_options_count":4},{"id":43434,"question":"La moyenne d'une série de 5 notes est 12. Si j'ajoute une 6ème note de 15, la nouvelle moyenne devient :","option_a":"12,5","option_b":"13","option_c":"12,8","option_d":"13,5","option_e":"","option_f":"","bonne_reponse":"c","explication":"La somme des 5 notes est 60. Avec la 6ème note, la somme devient 75. La nouvelle moyenne est 75\/6 = 12,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"12,5\", \"b\": \"13\", \"c\": \"12,8\", \"d\": \"13,5\"}}","_debug_options_count":4},{"id":43435,"question":"Toute fonction affine est représentée par une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine f(x) = ax + b est toujours représentée par une droite dans un repère orthonormé.","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":43436,"question":"Résoudre l'inéquation 2x + 3 \u003E 5x - 6 :","option_a":"x \u003C 3","option_b":"x \u003E 3","option_c":"x \u003C -3","option_d":"x \u003E -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x et en ajoutant 6, on obtient 9 \u003E 3x, soit x \u003C 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 \u003C 3\", \"b\": \"x \u003E 3\", \"c\": \"x \u003C -3\", \"d\": \"x \u003E -3\"}}","_debug_options_count":4},{"id":43437,"question":"Le périmètre d'un cercle de rayon r est donné par la formule :","option_a":"πr","option_b":"2πr","option_c":"πr²","option_d":"4πr","option_e":"","option_f":"","bonne_reponse":"b","explication":"La formule du périmètre (circonférence) d'un cercle est 2πr.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"πr\", \"b\": \"2πr\", \"c\": \"πr²\", \"d\": \"4πr\"}}","_debug_options_count":4},{"id":43438,"question":"Si une suite est définie par uₙ = 3n + 2, alors u₄ = :","option_a":"10","option_b":"14","option_c":"12","option_d":"16","option_e":"","option_f":"","bonne_reponse":"c","explication":"En remplaçant n par 4, on obtient u₄ = 3*4 + 2 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"10\", \"b\": \"14\", \"c\": \"12\", \"d\": \"16\"}}","_debug_options_count":4},{"id":43439,"question":"La probabilité d'un événement impossible est égale à 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, la probabilité d'un événement impossible est 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]