Quiz — Série n°1(oct) _ Angles orientés (L) - H.Z-3ème math .pdf

Question 1 sur 10 20:00

[{"id":24554,"question":"Quelle est la mesure principale de l'angle orienté de 450° ?","option_a":"450°","option_b":"90°","option_c":"-270°","option_d":"180°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La mesure principale d'un angle est comprise entre -180° et 180°. 450° - 360° = 90°, donc la mesure principale est 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"450°\", \"b\": \"90°\", \"c\": \"-270°\", \"d\": \"180°\"}}","_debug_options_count":4},{"id":24555,"question":"Sur le cercle trigonométrique, quel est le cosinus d'un angle de π\/3 radians ?","option_a":"1\/2","option_b":"√3\/2","option_c":"-1\/2","option_d":"0","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour un angle de π\/3 radians (60°), le cosinus vaut √3\/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\": \"1\/2\", \"b\": \"√3\/2\", \"c\": \"-1\/2\", \"d\": \"0\"}}","_debug_options_count":4},{"id":24556,"question":"Vrai ou Faux ? La tangente d'un angle est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La tangente est positive dans les premier et troisième quadrants, mais négative dans les deuxième et quatrième quadrants.","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":24557,"question":"Quelle est la valeur de sin(-π\/6) ?","option_a":"1\/2","option_b":"-1\/2","option_c":"√3\/2","option_d":"-√3\/2","option_e":"","option_f":"","bonne_reponse":"b","explication":"sin(-π\/6) = -sin(π\/6) = -1\/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\": \"1\/2\", \"b\": \"-1\/2\", \"c\": \"√3\/2\", \"d\": \"-√3\/2\"}}","_debug_options_count":4},{"id":24558,"question":"Vrai ou Faux ? Deux angles orientés sont égaux si leurs mesures diffèrent d'un multiple de 2π.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles orientés sont égaux si leurs mesures diffèrent d'un multiple de 2π radians (ou 360°).","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":24559,"question":"Quelle est la mesure principale de l'angle orienté de -7π\/4 radians ?","option_a":"π\/4","option_b":"-3π\/4","option_c":"π\/2","option_d":"-π\/4","option_e":"","option_f":"","bonne_reponse":"a","explication":"-7π\/4 + 2π = -7π\/4 + 8π\/4 = π\/4. La mesure principale est donc π\/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\": \"π\/4\", \"b\": \"-3π\/4\", \"c\": \"π\/2\", \"d\": \"-π\/4\"}}","_debug_options_count":4},{"id":24560,"question":"Vrai ou Faux ? Le cosinus d'un angle est toujours inférieur ou égal à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le cosinus d'un angle est toujours compris entre -1 et 1, donc toujours inférieur ou égal à 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":24561,"question":"Quelle est la valeur de tan(π\/4) ?","option_a":"0","option_b":"1","option_c":"√2","option_d":"√3","option_e":"","option_f":"","bonne_reponse":"b","explication":"tan(π\/4) = sin(π\/4)\/cos(π\/4) = (√2\/2)\/(√2\/2) = 1.","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\": \"√2\", \"d\": \"√3\"}}","_debug_options_count":4},{"id":24562,"question":"Vrai ou Faux ? La somme de deux angles orientés complémentaires est égale à π\/2 radians.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles sont complémentaires si leur somme est égale à π\/2 radians (90°).","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":24563,"question":"Quelle est la mesure principale de l'angle orienté de 1000° ?","option_a":"280°","option_b":"100°","option_c":"-260°","option_d":"160°","option_e":"","option_f":"","bonne_reponse":"a","explication":"1000° - 2*360° = 1000° - 720° = 280°. La mesure principale est donc 280°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"280°\", \"b\": \"100°\", \"c\": \"-260°\", \"d\": \"160°\"}}","_debug_options_count":4}]