{"common":{"save":0,"post_id":"7380","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6994","post_id":"7380","mon_id":"1159278","chapter_id":"1159281","question":"<p>Cho ph\u01b0\u01a1ng trình 4x – 3y = 16.<\/p><p>C\u1eb7p s\u1ed1 (x; y) nào sau \u0111ây là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình trên?<\/p>","options":["<strong>A.<\/strong> (1; 3)","<strong>B.<\/strong> (1; –4)","<strong>C.<\/strong> (2; 3)","<strong>D.<\/strong> (–2; 5)"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> (1; –4)<\/span><\/p><p><strong>A.<\/strong> Ta có: <span style=\"color:#e74c3c;\">4 . 1 – 3 . 3 = –5 ≠ 16<\/span> nên c\u1eb7p s\u1ed1 (1; 3) không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình.<\/p><p><strong>B.<\/strong> Ta có: <span style=\"color:#16a085;\">4 . 1 – 3 . (–4) = 16<\/span> nên c\u1eb7p s\u1ed1 (1; –4) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình.<\/p><p><strong>C.<\/strong> Ta có: <span style=\"color:#e74c3c;\">4 . 2 – 3 . 3 = –1 ≠ 16<\/span> nên c\u1eb7p s\u1ed1 (2; 3) không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình.<\/p><p><strong>D.<\/strong> Ta có: <span style=\"color:#e74c3c;\">4 . (–2) – 3 . 5 = –23 ≠ 16 <\/span> nên c\u1eb7p s\u1ed1 (–2; 5) không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình.<\/p>","type":"choose","extra_type":"shape1","time":"0","user_id":"127","test":"0","date":"2024-09-30 02:26:38","option_type":"txt","len":0},{"id":"6997","post_id":"7380","mon_id":"1159278","chapter_id":"1159281","question":"<p>Trong các c\u1eb7p s\u1ed1 <span style=\"color:#2980b9;\"><strong>(6; 0); (0; 6); (1; 3); (2; 4); (–2; 12)<\/strong><\/span> có bao nhiêu c\u1eb7p s\u1ed1 là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình <span style=\"color:#8e44ad;\"><strong>3x + y = 6<\/strong><\/span>?<\/p>","options":["<strong>A.<\/strong> 2","<strong>B.<\/strong> 4","<strong>C.<\/strong> 5","<strong>D.<\/strong> 3"],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> 3<\/span><\/p><p>Ta có: <span style=\"color:#c0392b;\">3 . 6 + 0 = 18 ≠ 6<\/span> nên (6; 0) không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p><p>Ta có: <span style=\"color:#16a085;\">3 . 0 + 6 = 6<\/span> nên (0; 6) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p><p>Ta có: <span style=\"color:#16a085;\">3 . 1 + 3 = 6<\/span> nên (1; 3) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p><p>Ta có: <span style=\"color:#c0392b;\">3 . 2 + 4 = 10 ≠ 6<\/span><span style=\"color:#c0392b;\"> <\/span>nên (2; 4) không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p><p>Ta có: <span style=\"color:#16a085;\">3 . (–2) + 12 = 6<\/span> nên (–2; 12) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p><p>Nh\u01b0 v\u1eady có 3 c\u1eb7p s\u1ed1 (0; 6), (1; 3), (–2; 12) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình 3x + y = 6.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-09-30 02:33:37","option_type":"txt","len":0},{"id":"7002","post_id":"7380","mon_id":"1159278","chapter_id":"1159281","question":"<p>C\u1eb7p s\u1ed1 <span class=\"math-tex\">$\\bigg(\\dfrac{16}{9};-\\dfrac{1}{9}\\bigg)$<\/span> là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình nào d\u01b0\u1edbi \u0111ây:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$y=\\dfrac{1}{4}x+\\dfrac{1}{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$y=-\\dfrac{1}{4}x-\\dfrac{1}{3}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$y=-\\dfrac{1}{4}x+\\dfrac{1}{3}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$y=\\dfrac{1}{4}x-\\dfrac{1}{3}$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C.<\/strong> <span class=\"math-tex\">$y=-\\dfrac{1}{4}x+\\dfrac{1}{3}$<\/span><\/span><\/p><p><strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{4}.\\dfrac{16}{9}+\\dfrac{1}{3}=\\dfrac{7}{9}\\ne -\\dfrac{1}{9}$<\/span> nên <span class=\"math-tex\">$\\bigg(\\dfrac{16}{9};-\\dfrac{1}{9}\\bigg)$<\/span> không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình <span class=\"math-tex\">$y=\\dfrac{1}{4}x+\\dfrac{1}{3}$<\/span>.<\/p><p><strong>B.<\/strong> <span class=\"math-tex\">$-\\dfrac{1}{4}.\\dfrac{16}{9}-\\dfrac{1}{3}=-\\dfrac{7}{9}\\ne -\\dfrac{1}{9}$<\/span> nên <span class=\"math-tex\">$\\bigg(\\dfrac{16}{9};-\\dfrac{1}{9}\\bigg)$<\/span> không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình <span class=\"math-tex\">$y=-\\dfrac{1}{4}x-\\dfrac{1}{3}$<\/span>.<\/p><p><strong>C.<\/strong> <span class=\"math-tex\">$-\\dfrac{1}{4}.\\dfrac{16}{9}+\\dfrac{1}{3}=-\\dfrac{1}{9}$<\/span> nên <span class=\"math-tex\">$\\bigg(\\dfrac{16}{9};-\\dfrac{1}{9}\\bigg)$<\/span> là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình <span class=\"math-tex\">$y=-\\dfrac{1}{4}x+\\dfrac{1}{3}$<\/span><\/p><p><strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{4}.\\dfrac{16}{9}-\\dfrac{1}{3}=\\dfrac{1}{9}\\ne -\\dfrac{1}{9}$<\/span> nên <span class=\"math-tex\">$\\bigg(\\dfrac{16}{9};-\\dfrac{1}{9}\\bigg)$<\/span> không là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình <span class=\"math-tex\">$y=\\dfrac{1}{4}x-\\dfrac{1}{3}$<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-09-30 02:42:38","option_type":"math","len":0}]}