Quiz — controle 1 2013-Marrakech.pdf(partagecelebrale.blogspot.com).pdf

Question 1 sur 10 20:00

[{"id":22809,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = 5","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En isolant x, on obtient 3x - 2x = 5 + 7, soit 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 = 5\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":22810,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici.","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":22811,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"-4","option_b":"1","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est le nombre devant x, soit -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\": \"-4\", \"b\": \"1\", \"c\": \"4\", \"d\": \"-1\"}}","_debug_options_count":4},{"id":22812,"question":"L'inéquation 2x + 5 \u003E 3x - 1 a pour solution :","option_a":"x \u003C 6","option_b":"x \u003E 6","option_c":"x \u003C -6","option_d":"x \u003E -6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant, on obtient 2x - 3x \u003E -1 -5, soit -x \u003E -6, donc x \u003C 6.","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 6\", \"b\": \"x \u003E 6\", \"c\": \"x \u003C -6\", \"d\": \"x \u003E -6\"}}","_debug_options_count":4},{"id":22813,"question":"Le point A(2; -3) appartient-il à la droite d'équation y = 2x - 7 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 2, on obtient y = 2*2 -7 = -3, ce qui correspond aux coordonnées de A.","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":22814,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 5x + 6 ?","option_a":"-2","option_b":"2","option_c":"6","option_d":"-6","option_e":"","option_f":"","bonne_reponse":"b","explication":"En calculant f(4) = 4² - 5*4 + 6 = 16 - 20 + 6 = 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\": \"-2\", \"b\": \"2\", \"c\": \"6\", \"d\": \"-6\"}}","_debug_options_count":4},{"id":22815,"question":"La droite d'équation y = 3 est-elle parallèle à l'axe des abscisses ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une droite horizontale (y = constante) est parallèle à l'axe des abscisses.","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":22816,"question":"Résoudre l'équation x² - 9 = 0 donne :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"c","explication":"x² = 9 implique x = 3 ou x = -3.","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 = 3\", \"b\": \"x = -3\", \"c\": \"x = 3 ou x = -3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":22817,"question":"La fonction f(x) = x³ est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée f'(x) = 3x² est toujours positive sauf en x=0, donc f est croissante.","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":22818,"question":"Quel est le centre de symétrie de la fonction f(x) = x² - 4x + 3 ?","option_a":"(2; -1)","option_b":"(0; 3)","option_c":"(-2; 15)","option_d":"(1; 0)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le centre de symétrie est le sommet de la parabole, soit x = -b\/(2a) = 2, puis f(2) = -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\": \"(2; -1)\", \"b\": \"(0; 3)\", \"c\": \"(-2; 15)\", \"d\": \"(1; 0)\"}}","_debug_options_count":4}]