Quiz — compo1 math 3GE 09_2010 sig.pdf

Question 1 sur 10 20:00

[{"id":28930,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 5","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 5 des deux côtés, on obtient 2x = 6, puis en divisant par 2, x = 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\": \"x = 3\", \"b\": \"x = 4\", \"c\": \"x = 5\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":28931,"question":"Vrai ou Faux ? La fonction f(x) = 3x + 2 est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, ici f(x) = 3x + 2 est affine, pas linéaire.","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":28932,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = 16","option_c":"Δ = 0","option_d":"Δ = -4","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le discriminant se calcule par Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 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\": \"Δ = 4\", \"b\": \"Δ = 16\", \"c\": \"Δ = 0\", \"d\": \"Δ = -4\"}}","_debug_options_count":4},{"id":28933,"question":"Vrai ou Faux ? Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore est valable uniquement pour les 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":28934,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x + 3)²","option_c":"(x - 9)(x + 1)","option_d":"(x - 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés, donc (x - 3)(x + 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\": \"(x - 3)(x + 3)\", \"b\": \"(x + 3)²\", \"c\": \"(x - 9)(x + 1)\", \"d\": \"(","_debug_options_count":4},{"id":28935,"question":"Vrai ou Faux ? La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans un triangle, la somme des angles est toujours égale à 180°, quel que soit le type de triangle.","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":28936,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"f(2) = -1","option_b":"f(2) = 1","option_c":"f(2) = -3","option_d":"f(2) = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 : f(2) = 2² - 3(2) + 1 = 4 - 6 + 1 = -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\": \"f(2) = -1\", \"b\": \"f(2) = 1\", \"c\": \"f(2) = -3\", \"d\": \"f(2) = 3\"}}","_debug_options_count":4},{"id":28937,"question":"Vrai ou Faux ? Une équation du second degré peut avoir deux solutions réelles distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une équation du second degré peut avoir 0, 1 ou 2 solutions réelles distinctes, selon le discriminant.","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":28938,"question":"Quelle est la nature de la fonction f(x) = 5x - 7 ?","option_a":"Affine","option_b":"Linéaire","option_c":"Constante","option_d":"Quadratique","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction de la forme f(x) = ax + b est affine. Ici, f(x) = 5x - 7 est 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\": \"Affine\", \"b\": \"Linéaire\", \"c\": \"Constante\", \"d\": \"Quadratique\"}}","_debug_options_count":4},{"id":28939,"question":"Vrai ou Faux ? Le cosinus d'un angle aigu dans un triangle rectangle est toujours inférieur 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 aigu est toujours compris entre 0 et 1, car il représente le rapport de deux longueurs.","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}]