Quiz — Lycée Pilote Sfax - Conique 1.pdf

Question 1 sur 10 20:00

[{"id":63747,"question":"Quelle équation représente un cercle de centre (0,0) et de rayon 3 ?","option_a":"x² + y² = 3","option_b":"x² + y² = 9","option_c":"x² + y² = 6","option_d":"x² + y² = 1","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'équation d'un cercle de centre (0,0) et de rayon r est x² + y² = r². Ici, r = 3, donc r² = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x² + y² = 3\", \"b\": \"x² + y² = 9\", \"c\": \"x² + y² = 6\", \"d\": ","_debug_options_count":4},{"id":63748,"question":"L'excentricité d'une ellipse est toujours inférieure à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'excentricité d'une ellipse est strictement comprise entre 0 et 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":63749,"question":"Quelle conique a une excentricité égale à 1 ?","option_a":"Cercle","option_b":"Ellipse","option_c":"Parabole","option_d":"Hyperbole","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une parabole est définie comme une conique d'excentricité égale à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Cercle\", \"b\": \"Ellipse\", \"c\": \"Parabole\", \"d\": \"Hyperbole\"}}","_debug_options_count":4},{"id":63750,"question":"L'équation x²\/4 - y²\/9 = 1 représente :","option_a":"Un cercle","option_b":"Une ellipse","option_c":"Une parabole","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"d","explication":"Cette équation est de la forme x²\/a² - y²\/b² = 1, caractéristique d'une hyperbole.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"Un cercle\", \"b\": \"Une ellipse\", \"c\": \"Une parabole\", \"d\": \"Une hy","_debug_options_count":4},{"id":63751,"question":"Le foyer d'une parabole est toujours situé à l'intérieur de la courbe.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le foyer d'une parabole est situé à l'extérieur de la courbe, contrairement à l'ellipse ou l'hyperbole.","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":63752,"question":"Quelle est l'excentricité d'un cercle ?","option_a":"0","option_b":"1","option_c":"Entre 0 et 1","option_d":"Supérieure à 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un cercle est une ellipse particulière avec une excentricité égale à 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\": \"0\", \"b\": \"1\", \"c\": \"Entre 0 et 1\", \"d\": \"Supérieure à 1\"}}","_debug_options_count":4},{"id":63753,"question":"L'équation y² = 4x représente :","option_a":"Un cercle","option_b":"Une ellipse","option_c":"Une parabole","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"c","explication":"Cette équation est de la forme y² = 4px, caractéristique d'une parabole ouverte vers la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Un cercle\", \"b\": \"Une ellipse\", \"c\": \"Une parabole\", \"d\": \"Une hy","_debug_options_count":4},{"id":63754,"question":"Une hyperbole a toujours deux foyers.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une hyperbole est définie par deux foyers, contrairement à une parabole qui n'en a qu'un.","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":63755,"question":"Quelle conique a une équation de la forme x²\/a² + y²\/b² = 1 avec a = b ?","option_a":"Cercle","option_b":"Ellipse","option_c":"Parabole","option_d":"Hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si a = b, l'équation devient x²\/a² + y²\/a² = 1, soit x² + y² = a², qui est l'équation d'un cercle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Cercle\", \"b\": \"Ellipse\", \"c\": \"Parabole\", \"d\": \"Hyperbole\"}}","_debug_options_count":4},{"id":63756,"question":"L'excentricité d'une hyperbole est toujours supérieure à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, l'excentricité d'une hyperbole est strictement supérieure 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}]