Quiz — 152.._sujet révision 1.pdf

Question 1 sur 10 20:00

[{"id":34345,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l'équation en ajoutant 5 des deux côtés : 3x = 12, puis divisez par 3 : x = 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\": \"x = 4\", \"b\": \"x = 2\", \"c\": \"x = 12\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":34347,"question":"La fonction f(x) = 2x + 3 est 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. Ici, a = 2 et b = 3, donc c'est bien 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":34349,"question":"Quelle est l'équation de la droite passant par les points A(1; 2) et B(3; 6) ?","option_a":"y = 2x","option_b":"y = x + 1","option_c":"y = 3x - 1","option_d":"y = 2x + 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculez le coefficient directeur : (6-2)\/(3-1) = 2. L'équation est y = 2x + b. En utilisant A(1;2) : 2 = 2*1 + b ⇒ b = 0. Donc y = 2x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"y = 2x\", \"b\": \"y = x + 1\", \"c\": \"y = 3x - 1\", \"d\": \"y = 2x + 1\"}}","_debug_options_count":4},{"id":34351,"question":"La moyenne de 5 notes : 12, 15, 8, 14 et 11 est égale à 12.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculez la somme : 12 + 15 + 8 + 14 + 11 = 60. Divisez par 5 : 60\/5 = 12. La moyenne est bien 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":34353,"question":"Quelle est la solution de l'inéquation 2x - 3 ≤ 5 ?","option_a":"x ≤ 4","option_b":"x ≥ 4","option_c":"x ≤ 1","option_d":"x ≥ 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajoutez 3 des deux côtés : 2x ≤ 8. Divisez par 2 : x ≤ 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\": \"x ≤ 4\", \"b\": \"x ≥ 4\", \"c\": \"x ≤ 1\", \"d\": \"x ≥ 1\"}}","_debug_options_count":4},{"id":34355,"question":"Le discriminant d'une équation du second degré ax² + bx + c = 0 est donné par Δ = b² - 4ac.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du discriminant est bien Δ = b² - 4ac, utilisée pour déterminer le nombre de solutions réelles.","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":34356,"question":"Quelle est la distance entre les points A(2; 3) et B(5; 7) ?","option_a":"5","option_b":"√(13)","option_c":"√(25)","option_d":"7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Utilisez la formule de distance : √[(5-2)² + (7-3)²] = √(9 + 16) = √25 = 5. Mais ici, √(13) est incorrect, la bonne réponse est 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\": \"5\", \"b\": \"√(13)\", \"c\": \"√(25)\", \"d\": \"7\"}}","_debug_options_count":4},{"id":34357,"question":"La fonction f(x) = x² est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x), donc la fonction est paire.","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":34358,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"Factorisez : (x - 2)² = 0 ⇒ x = 2 (solution double).","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 = 2\", \"b\": \"x = -2\", \"c\": \"x = 4\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":34359,"question":"La probabilité d'obtenir un nombre pair en lançant un dé équilibré est de 1\/2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un dé a 6 faces : 1, 2, 3, 4, 5, 6. Les nombres pairs sont 2, 4, 6 ⇒ 3 cas favorables sur 6 ⇒ probabilité = 3\/6 = 1\/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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]