Quiz — الزوايا الموجهة.doc

Question 1 sur 5 10:00

[{"id":126016,"question":"Quelle est la mesure principale d'un angle de 480° ?","option_a":"120°","option_b":"240°","option_c":"300°","option_d":"-120°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La mesure principale d'un angle est la mesure équivalente comprise entre -180° et 180°. Pour 480°, on soustrait 360° : 480° - 360° = 120°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"120°\", \"b\": \"240°\", \"c\": \"300°\", \"d\": \"-120°\"}}","_debug_options_count":4},{"id":126017,"question":"Sur un cercle trigonométrique, quel est le point image d'un angle orienté de π\/4 radians ?","option_a":"(√2\/2, √2\/2)","option_b":"(√3\/2, 1\/2)","option_c":"(1\/2, √3\/2)","option_d":"(0, 1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un angle de π\/4 radians correspond à 45°. Sur le cercle trigonométrique, les coordonnées du point image sont (cos(π\/4), sin(π\/4)) = (√2\/2, √2\/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\/2, √2\/2)\", \"b\": \"(√3\/2, 1\/2)\", \"c\": \"(1\/2, √3\/2)\", \"d","_debug_options_count":4},{"id":126018,"question":"Si deux angles orientés ont pour mesures 30° et -330°, quelle est leur relation ?","option_a":"Ils sont égaux.","option_b":"Ils sont supplémentaires.","option_c":"Ils sont opposés.","option_d":"Ils sont complémentaires.","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles orientés sont égaux si leurs mesures diffèrent d'un multiple de 360°. Ici, -330° + 360° = 30°, donc les angles sont égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Ils sont égaux.\", \"b\": \"Ils sont supplémentaires.\", \"c\": \"Ils s","_debug_options_count":4},{"id":126019,"question":"Quelle est la valeur de sin(5π\/6) ?","option_a":"1\/2","option_b":"√3\/2","option_c":"-1\/2","option_d":"0","option_e":"","option_f":"","bonne_reponse":"a","explication":"5π\/6 radians correspond à 150°. Sur le cercle trigonométrique, sin(150°) = sin(180° - 30°) = sin(30°) = 1\/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\": \"1\/2\", \"b\": \"√3\/2\", \"c\": \"-1\/2\", \"d\": \"0\"}}","_debug_options_count":4},{"id":126020,"question":"Un angle orienté de -π\/3 radians est équivalent à un angle de :","option_a":"5π\/3","option_b":"2π\/3","option_c":"π\/3","option_d":"-5π\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"-π\/3 radians est équivalent à 5π\/3 radians car -π\/3 + 2π = 5π\/3, et 5π\/3 est la mesure principale dans l'intervalle [0, 2π[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5π\/3\", \"b\": \"2π\/3\", \"c\": \"π\/3\", \"d\": \"-5π\/3\"}}","_debug_options_count":4}]