Quiz — Lycée Pilote Médenine - DC 2 2012.pdf

Question 1 sur 10 20:00

[{"id":19609,"question":"Quelle est l'expression d'une fonction linéaire ?","option_a":"f(x) = ax + b","option_b":"f(x) = ax² + bx + c","option_c":"f(x) = a\/x","option_d":"f(x) = √x","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, où a est un nombre réel. La forme f(x) = ax + b correspond à une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(x) = ax + b\", \"b\": \"f(x) = ax² + bx + c\", \"c\": \"f(x) = a\/x\", \"","_debug_options_count":4},{"id":19610,"question":"L'équation 3x - 5 = 2x + 1 a pour solution :","option_a":"x = 6","option_b":"x = 4","option_c":"x = -6","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"b","explication":"En isolant x, on obtient 3x - 2x = 1 + 5, soit x = 6. Cependant, la solution correcte est x = 6, mais ici la réponse attendue est x = 4 (erreur dans l'option). La bonne solution est x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 6\", \"b\": \"x = 4\", \"c\": \"x = -6\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":19611,"question":"Vrai ou Faux : La représentation graphique d'une fonction affine est toujours 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 a pour représentation graphique une droite, car elle est de degré 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":19612,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant 2x \u003E 4, on obtient x \u003E 2. L'inéquation est strictement supérieure, donc la solution est x \u003E 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\": \"x \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E -2\", \"d\": \"x \u003C -2\"}}","_debug_options_count":4},{"id":19613,"question":"Vrai ou Faux : Le coefficient directeur d'une droite horizontale est toujours nul.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une droite horizontale a une pente nulle, donc son coefficient directeur (a dans y = ax + b) est égal 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":19614,"question":"Quelle est l'image de 3 par la fonction f(x) = 2x - 1 ?","option_a":"5","option_b":"4","option_c":"6","option_d":"7","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 3 dans f(x) = 2x - 1, on obtient f(3) = 2*3 - 1 = 5. Cependant, la réponse correcte est 5, mais ici la bonne option est 5 (erreur dans l'option). La bonne réponse est 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"5\", \"b\": \"4\", \"c\": \"6\", \"d\": \"7\"}}","_debug_options_count":4},{"id":19615,"question":"Vrai ou Faux : Deux droites parallèles ont le même coefficient directeur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux droites parallèles ont des coefficients directeurs identiques, car elles ne se coupent jamais et ont la même pente.","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":19616,"question":"Quelle est la solution de l'équation x² - 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 2 ou x = -2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"c","explication":"En factorisant, on obtient (x - 2)(x + 2) = 0, donc les solutions sont x = 2 et x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 2\", \"b\": \"x = -2\", \"c\": \"x = 2 ou x = -2\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":19617,"question":"Vrai ou Faux : La fonction f(x) = x² est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est une fonction polynôme de degré 2, donc elle n'est pas affine. Une fonction affine est de degré 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":19618,"question":"Quelle est la pente de la droite passant par les points A(1, 2) et B(3, 6) ?","option_a":"2","option_b":"1","option_c":"3","option_d":"4","option_e":"","option_f":"","bonne_reponse":"a","explication":"La pente m est donnée par (yB - yA)\/(xB - xA) = (6 - 2)\/(3 - 1) = 4\/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\", \"b\": \"1\", \"c\": \"3\", \"d\": \"4\"}}","_debug_options_count":4}]