{"common":{"save":0,"post_id":"5792","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"8142","post_id":"5792","mon_id":"1158532","chapter_id":"1158659","question":"<p>Tìm hai s\u1ed1 x và y, bi\u1ebft: <span class=\"math-tex\">$\\dfrac{x}{4}=\\dfrac{y}{5}$<\/span> và x + y = 27<\/p>","options":["<strong>A. <\/strong>x = 15; y = 12","<strong>B. <\/strong>x = –12; y = –15","<strong>C. <\/strong>x = 12; y = 12","<strong>D. <\/strong>x = 12; y = 15"],"correct":"4","level":"2","hint":"<p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau: <span class=\"math-tex\">$\\dfrac{a}{b}=\\dfrac{c}{d}=\\dfrac{a+c}{b+d}=\\dfrac{a-c}{b-d}$<\/span><\/p>","answer":"<p>Theo tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau, ta có:<\/p><p><span class=\"math-tex\">$\\dfrac{x}{4}=\\dfrac{y}{5}=\\dfrac{x+y}{4+5}=\\dfrac{27}{9}=3$<\/span><\/p><p>Suy ra x = 3 . 4 = 12 và y = 3 . 5 = 15<\/p><p>V\u1eady \u0111áp án \u0111úng là <span style=\"color:#16a085;\"><strong>D. <\/strong>x = 12; y = 15<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-05-27 02:19:05","option_type":"txt","len":2},{"id":"8144","post_id":"5792","mon_id":"1158532","chapter_id":"1158659","question":"<p>Tìm hai s\u1ed1 a, b bi\u1ebft: <span class=\"math-tex\">$\\dfrac{a}{3}= \\dfrac{b}{4}$<\/span> và <span class=\"math-tex\">$a - b=1,5$<\/span><\/p>","options":["<strong>A. <\/strong><span class=\"math-tex\">$a=4,5;\\space b=6$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$a=-4,5;\\space b=-6$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$a=-4,5;\\space b=6$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$a=-6;\\space b=-4,5$<\/span>"],"correct":"2","level":"2","hint":"<p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau: <span class=\"math-tex\">$\\dfrac{a}{b}=\\dfrac{c}{d}=\\dfrac{a+c}{b+d}=\\dfrac{a-c}{b-d}$<\/span><\/p>","answer":"<p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau, ta có:<\/p><p><span class=\"math-tex\">$\\dfrac{a}{3}= \\dfrac{b}{4}=\\dfrac{a-b}{3-4}=\\dfrac{1,5}{-1}=-1,5$<\/span><\/p><p>Suy ra <strong> <\/strong><span class=\"math-tex\">$a=(-1,5).3=4,5$<\/span> và <span class=\"math-tex\">$b=(-1,5).4=-6$<\/span><\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>B. <\/strong><span class=\"math-tex\">$a=-4,5;\\space b=-6$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-05-27 02:26:03","option_type":"math","len":0},{"id":"8146","post_id":"5792","mon_id":"1158532","chapter_id":"1158659","question":"<p>Tìm hai s\u1ed1 x và y, bi\u1ebft: <span class=\"math-tex\">$\\dfrac{x}{-2}=\\dfrac{y}{5}$<\/span> và x + y = 6<\/p>","options":["<strong>A. <\/strong>x = –4; y = 10","<strong>B. <\/strong>x = 10; y = –4","<strong>C. <\/strong>x = 4; y = –10","<strong>D. <\/strong>x = 4; y = 10"],"correct":"1","level":"2","hint":"<p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau: <span class=\"math-tex\">$\\dfrac{a}{b}=\\dfrac{c}{d}=\\dfrac{a+c}{b+d}=\\dfrac{a-c}{b-d}$<\/span><\/p>","answer":"<p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau, ta có: <\/p><p><span class=\"math-tex\">$\\dfrac{x}{-2}=\\dfrac{y}{5}=\\dfrac{x+y}{-2+5}=\\dfrac{6}{3}=2$<\/span><\/p><p>Suy ra x = 2 . (–2) = –4 và y = 2 . 5 = 10<\/p><p>V\u1eady \u0111áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A. <\/strong>x = –4; y = 10<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-05-27 02:33:49","option_type":"txt","len":2}]}