{"common":{"save":0,"post_id":"6187","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5357","mon_id":"1158767","chapter_id":"1158801","post_id":"6187","question":"<p>Cho hàm s\u1ed1 <span class=\"math-tex\">$y=mx+3$<\/span>. Tìm m \u0111\u1ec3 hàm s\u1ed1 ngh\u1ecbch bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span>.<\/p>","options":["<strong>A.<\/strong> m > –1","<strong>B.<\/strong> m < –1","<strong>C.<\/strong> m < 0","<strong>D.<\/strong> m > 0"],"correct":"3","level":"1","hint":"<p>Hàm s\u1ed1 b\u1eadc nh\u1ea5t y = ax + b (a <span class=\"math-tex\">$\\ne$<\/span> 0):<\/p><p>+ \u0110\u1ed3ng bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> khi a > 0;<\/p><p><span style=\"color:#3498db;\">+ Ngh\u1ecbch bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> khi a < 0.<\/span><\/p>","answer":"<p>Hàm s\u1ed1 <span class=\"math-tex\">$y=mx+3$<\/span> có h\u1ec7 s\u1ed1 c\u1ee7a x là m.<\/p><p>\u0110\u1ec3 hàm s\u1ed1 ngh\u1ecbch bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> thì m < 0.<\/p><p>\u0110áp án là <span style=\"color:#16a085;\"><strong>C.<\/strong> m < 0<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2022-09-03 13:07:10","option_type":"txt","len":2},{"id":"5359","mon_id":"1158767","chapter_id":"1158801","post_id":"6187","question":"<p>Cho hàm s\u1ed1 <span class=\"math-tex\">$y=(m-1)x+3$<\/span>. Tìm m \u0111\u1ec3 hàm s\u1ed1 \u0111\u1ed3ng bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span>.<\/p>","options":["<strong>A.<\/strong> m < 1","<strong>B.<\/strong> m > 1","<strong>C.<\/strong> m < –1","<strong>D.<\/strong> m > –1"],"correct":"2","level":"1","hint":"<p>Hàm s\u1ed1 b\u1eadc nh\u1ea5t y = ax + b (a <span class=\"math-tex\">$\\ne$<\/span> 0):<\/p><p><span style=\"color:#3498db;\">+ \u0110\u1ed3ng bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> khi a > 0;<\/span><\/p><p>+ Ngh\u1ecbch bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> khi a < 0.<\/p>","answer":"<p>Hàm s\u1ed1 <span class=\"math-tex\">$y=(m-1)x+3$<\/span> có h\u1ec7 s\u1ed1 c\u1ee7a x là m – 1.<\/p><p>\u0110\u1ec3 hàm s\u1ed1 \u0111\u1ed3ng bi\u1ebfn trên <span class=\"math-tex\">$\\mathbb{R}$<\/span> thì m – 1 > 0 ⇔ m > 1.<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>B.<\/strong> m > 1<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2022-09-03 13:20:50","option_type":"txt","len":2},{"id":"5360","mon_id":"1158767","chapter_id":"1158801","post_id":"6187","question":"<p>\u0110\u01b0\u1eddng th\u1eb3ng nào sau \u0111ây \u0111i qua \u0111i\u1ec3m <span class=\"math-tex\">$M(2;4)$<\/span>?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x+y-1=0$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$y-7=0$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$2x-y=0$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$5x+4y=0$<\/span>"],"correct":"3","level":"1","hint":"","answer":"<p>L\u1ea7n l\u01b0\u1ee3t thay t\u1ecda \u0111\u1ed9 c\u1ee7a \u0111i\u1ec3m M (x = 2, y = 4) vào các \u0111\u01b0\u1eddng th\u1eb3ng ta \u0111\u01b0\u1ee3c:<\/p><p>Ta có: 2 + 4 – 1 = 5<span style=\"color:#e74c3c;\"> <span class=\"math-tex\">$\\ne$<\/span> 0 <\/span>nên <span class=\"math-tex\">$x+y-1=0$<\/span> <span style=\"color:#e74c3c;\"><strong>không <\/strong><\/span>\u0111i qua \u0111i\u1ec3m M(2; 4).<\/p><p>Ta có: 4 – 7 = –3<span style=\"color:#e74c3c;\"> <span class=\"math-tex\">$\\ne$<\/span> 0<\/span> nên <span class=\"math-tex\">$y-7=0$<\/span> <span style=\"color:#e74c3c;\"><strong>không <\/strong><\/span>\u0111i qua \u0111i\u1ec3m M(2; 4).<\/p><p>Ta có: 2 . 2 – 4 <span style=\"color:#16a085;\">= 0<\/span> nên <span class=\"math-tex\">$2x-y=0$<\/span> <span style=\"color:#16a085;\"><strong>\u0111i qua<\/strong><\/span> \u0111i\u1ec3m M(2; 4).<\/p><p>Ta có: 5 . 2 + 4 . 4 = 26<span style=\"color:#e74c3c;\"> <span class=\"math-tex\">$\\ne$<\/span> 0<\/span> nên <span class=\"math-tex\">$5x+4y=0$<\/span> <span style=\"color:#e74c3c;\"><strong>không <\/strong><\/span>\u0111i qua \u0111i\u1ec3m M(2; 4).<\/p><p>\u0110áp án là <span style=\"color:#16a085;\"><strong>C.<\/strong> <span class=\"math-tex\">$2x-y=0$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2022-09-03 13:30:38","option_type":"math","len":0}]}