Quiz — DS1-AP1-2016_2017-ff.pdf

Question 1 sur 10 20:00

[{"id":77576,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"On isole x en ajoutant 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","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 = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":77577,"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 avec a=2 et b=3.","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":77578,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"4","option_b":"-4","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient directeur est le nombre devant x, ici -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"4\", \"b\": \"-4\", \"c\": \"7\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":77579,"question":"Dans un triangle rectangle, le théorème de Pythagore s'applique-t-il toujours ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","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":77580,"question":"Quelle est la médiane d'une série statistique de 5 valeurs : 2, 4, 6, 8, 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane est la valeur centrale après classement. Ici, 6 est la troisième valeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"4\", \"b\": \"6\", \"c\": \"8\", \"d\": \"10\"}}","_debug_options_count":4},{"id":77581,"question":"L'équation x² - 9 = 0 a pour solutions :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 et x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"c","explication":"x² = 9 ⇒ x = √9 ou x = -√9 ⇒ 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 et x = -3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":77582,"question":"Une droite parallèle à l'axe des abscisses a une équation de la forme :","option_a":"y = ax + b","option_b":"x = a","option_c":"y = b","option_d":"y = x + b","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une droite parallèle à l'axe des abscisses est horizontale et a une équation y = b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"y = ax + b\", \"b\": \"x = a\", \"c\": \"y = b\", \"d\": \"y = x + b\"}}","_debug_options_count":4},{"id":77583,"question":"La moyenne d'une série de 4 notes : 12, 14, 16, 18 est égale à :","option_a":"12","option_b":"14","option_c":"15","option_d":"16","option_e":"","option_f":"","bonne_reponse":"c","explication":"Moyenne = (12 + 14 + 16 + 18) \/ 4 = 60 \/ 4 = 15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"12\", \"b\": \"14\", \"c\": \"15\", \"d\": \"16\"}}","_debug_options_count":4},{"id":77584,"question":"Le produit de deux nombres opposés est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le produit de deux nombres opposés est négatif (ex: 5 × (-5) = -25).","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":77585,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"3","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 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\": \"2\", \"d\": \"3\"}}","_debug_options_count":4}]