{"common":{"save":0,"post_id":"956","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"91","post_id":"956","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" T\u00ecm s\u1ed1 nguy\u00ean $m$ th\u1ecfa m\u00e3n: <br\/> $\\dfrac{1}{3} + \\left( \\dfrac{3}{4} - 1\\dfrac{2}{5} \\right) < m < 2\\dfrac{1}{7} + \\left( -\\dfrac{2}{5} - \\dfrac{1}{4} \\right) $","select":["A. $m \\in \\lbrace -1; 0; 1 \\rbrace$ ","B. $m \\in \\lbrace 0; 1 \\rbrace$ ","C. $m = 1$","D. $m \\in \\lbrace -1; 0; 1; 2 \\rbrace$ "],"hint":"T\u00ednh t\u1eebng v\u1ebf r\u1ed3i t\u00ecm m.","explain":" Ta c\u00f3: $\\dfrac{1}{3} + \\left( \\dfrac{3}{4} - 1\\dfrac{2}{5} \\right) < m < 2\\dfrac{1}{7} + \\left( -\\dfrac{2}{5} - \\dfrac{1}{4} \\right)$ <br\/>V\u1ebf tr\u00e1i = $\\dfrac{1}{3} + \\dfrac{15-28}{20} = \\dfrac{1}{3} + \\dfrac{-13}{20} = \\dfrac{20-39}{60} = \\dfrac{-19}{60} $ <br\/> V\u1ebf ph\u1ea3i = $ 2 + \\dfrac{1}{7} + \\dfrac{-8-5}{20} = 2 + \\dfrac{1}{7} + \\dfrac{-13}{20} = 2 +\\dfrac{20-91}{140} = 2 + \\dfrac{-71}{140} = 1\\dfrac{69}{140} $ <br\/> Suy ra $\\dfrac{-19}{60} < m < 1\\dfrac{69}{30} $ <br\/> M\u00e0 s\u1ed1 ph\u1ea3i t\u00ecm l\u00e0 s\u1ed1 nguy\u00ean n\u00ean $m \\in \\lbrace 0; 1 \\rbrace$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B.<\/span><\/span> <br\/>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"92","post_id":"956","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":"<center><img src='img\/4.jpg' \/><\/center>Ch\u1ecdn k\u1ebft qu\u1ea3 \u0111\u00fang c\u1ee7a bi\u1ec3u th\u1ee9c $ N = \\left( \\dfrac{2}{3} - 4 \\right) + \\left( \\dfrac{-1}{2} + 5 \\right) - \\dfrac{3}{4} $ ","select":["A. $-\\dfrac{5}{12}$","B. $\\dfrac{5}{12}$","C. $1\\dfrac{5}{12}$","D. $-1\\dfrac{5}{12}$"],"explain":" Ta c\u00f3: $ N = \\left( \\dfrac{2}{3} - 4 \\right) + \\left( \\dfrac{-1}{2} + 5 \\right) - \\dfrac{3}{4} \\\\ = \\left( \\dfrac{2}{3} - \\dfrac{12}{3} \\right) + \\left( \\dfrac{-1}{2} + \\dfrac{10}{2} \\right) - \\dfrac{3}{4} \\\\ = \\dfrac{-10}{3} + \\dfrac{9}{2} - \\dfrac{3}{4} \\\\ = \\dfrac{-40}{12} + \\dfrac{54}{12} - \\dfrac{9}{12} \\\\ = \\dfrac{5}{12} $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B.<\/span><\/span> <br\/>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"93","post_id":"956","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["6"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 c\u1ee7a bi\u1ec3u th\u1ee9c P v\u00e0o \u00f4 tr\u1ed1ng <br\/>$P = \\left( 7 + \\dfrac{7}{5} - \\dfrac{2}{3} \\right) - \\left( 4 + \\dfrac{4}{5} + \\dfrac{3}{8} \\right) + \\left( 3 - \\dfrac{3}{5} + \\dfrac{2}{3} + \\dfrac{3}{8} \\right) $= _input_","explain":" Ta c\u00f3: $ P = \\left( 7 + \\dfrac{7}{5} - \\dfrac{2}{3} \\right) - \\left( 4 + \\dfrac{4}{5} + \\dfrac{3}{8} \\right) + \\left( 3 - \\dfrac{3}{5} + \\dfrac{2}{3} + \\dfrac{3}{8} \\right) \\\\ = 7 + \\dfrac{7}{5} - \\dfrac{2}{3} - 4 - \\dfrac{4}{5} - \\dfrac{3}{8} + 3 - \\dfrac{3}{5} + \\dfrac{2}{3} + \\dfrac{3}{8} \\\\ = \\left( 7 -4 + 3 \\right) + \\left( \\dfrac{7}{5} - \\dfrac{4}{5} - \\dfrac{3}{5} \\right) + \\left( \\dfrac{-2}{3} + \\dfrac{2}{3} \\right) + \\left( \\dfrac{-3}{8} + \\dfrac{3}{8} \\right) \\\\ = 6 + 0 + 0 + 0 = 6 $<br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb c\u1ee7a P l\u00e0 $6$ <\/span><\/span> <br\/>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"94","post_id":"956","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c: <br\/>$B = 2\\dfrac{2}{3} - 1\\dfrac{2}{5} + 1\\dfrac{3}{10} - \\left( \\dfrac{2}{5} - \\dfrac{5}{6} \\right) + \\dfrac{4}{5} - 1\\dfrac{1}{3} $= _input_$\\dfrac{7}{15}$ (Nh\u1eadp v\u00e0o ph\u1ea7n nguy\u00ean c\u1ee7a h\u1ed7n s\u1ed1)","explain":"Nh\u00f3m c\u00e1c s\u1ed1 h\u1ea1ng th\u00edch h\u1ee3p r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh <br\/> <br\/> $ B = 2\\dfrac{2}{3} - 1\\dfrac{2}{5} + 1\\dfrac{3}{10} - \\left( \\dfrac{2}{5} - \\dfrac{5}{6} \\right) + \\dfrac{4}{5} - 1\\dfrac{1}{3} \\\\ = 2\\dfrac{2}{3} - 1\\dfrac{2}{5} + 1\\dfrac{3}{10} - \\dfrac{2}{5} + \\dfrac{5}{6} + \\dfrac{4}{5} - 1\\dfrac{1}{3} \\\\ = \\left( 2\\dfrac{2}{3} + \\dfrac{5}{6} - 1\\dfrac{1}{3} \\right) + \\left( -1\\dfrac{2}{5} + 1\\dfrac{3}{10} - \\dfrac{2}{5} + \\dfrac{4}{5} \\right) \\\\ = \\left( 2 + \\dfrac{2}{3} + \\dfrac{5}{6} - 1 - \\dfrac{1}{3} \\right) + \\left( -1 - \\dfrac{2}{5} + 1 + \\dfrac{3}{10} - \\dfrac{2}{5} + \\dfrac{4}{5} \\right) \\\\ = \\left( 1 + \\dfrac{4+5-2}{6} \\right) + \\dfrac{3}{10} \\\\ = 1 + \\dfrac{7}{6} + \\dfrac{3}{10} \\\\ = \\dfrac{30+35+9}{30} \\\\ = \\dfrac{74}{30} = \\dfrac{37}{15} = 2\\dfrac{7}{15}$ <br\/> <br\/> <span class='basic_pink'>S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 2. <\/span><\/span> <br\/>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"95","post_id":"956","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" T\u00ecm $x \\in \\mathbb{Q}$ bi\u1ebft: <br\/> $ \\dfrac{x+2016}{2} + \\dfrac{2x+4032}{7} = \\dfrac{x+2016}{5} + \\dfrac{x+2016}{6} $ ","select":["A. $ x = 2016$","B. $x = -2016$","C. $x = \\dfrac{1}{2016}$","D. $ x = \\dfrac{-1}{2016} $"],"explain":" $\\dfrac{x+2016}{2} + \\dfrac{2x+4032}{7} = \\dfrac{x+2016}{5} + \\dfrac{x+2016}{6} \\\\ \\Rightarrow \\dfrac{x+2016}{2} + \\dfrac{2(x+2016)}{7} = \\dfrac{x+2016}{5} + \\dfrac{x+2016}{6} \\\\ \\Rightarrow \\left( x + 2016 \\right) \\left( \\dfrac{1}{2} + \\dfrac{2}{7} - \\dfrac{1}{5} - \\dfrac{1}{6} \\right) = 0 $ <br\/> M\u00e0 $\\left( \\dfrac{1}{2} + \\dfrac{2}{7} - \\dfrac{1}{5} - \\dfrac{1}{6} \\right) \\neq 0 $ <br\/> Suy ra: $x + 2016 = 0 \\Rightarrow x = -2016 $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B.<\/span><\/span> <br\/>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"96","post_id":"956","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":"Ch\u1ecdn k\u1ebft qu\u1ea3 \u0111\u00fang c\u1ee7a bi\u1ec3u th\u1ee9c $ E = \\dfrac{15}{34} + \\dfrac{7}{21} + \\dfrac{19}{34} - \\dfrac{20}{15} + \\dfrac{3}{7} $ ","select":["A. $\\dfrac{3}{7}$","B. $\\dfrac{-23}{21}$","C. $\\dfrac{11}{7}$","D. $-1\\dfrac{23}{21}$"],"hint":" Nh\u00f3m c\u00e1c s\u1ed1 h\u1ea1ng th\u00edch h\u1ee3p r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh. ","explain":" Ta c\u00f3: $ E = \\dfrac{15}{34} + \\dfrac{7}{21} + \\dfrac{19}{34} - \\dfrac{20}{15} + \\dfrac{3}{7} \\\\ = \\left( \\dfrac{15}{34} + \\dfrac{19}{34} \\right) + \\left( \\dfrac{7}{21} + \\dfrac{3}{7} \\right) - \\dfrac{20}{15} \\\\ = 1 + \\left( \\dfrac{7}{21} + \\dfrac{9}{21} \\right) - \\dfrac{20}{15} \\\\ = 1 + \\dfrac{16}{21} - \\dfrac{20}{15} \\\\ = \\dfrac{105}{105}+ \\dfrac{80}{105} - \\dfrac{140}{105} \\\\ = \\dfrac{45}{105} \\\\ = \\dfrac{3}{7} $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A.<\/span><\/span> <br\/>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"97","post_id":"956","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["26"],["35"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"R\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c: <br\/> $ F = \\dfrac{\\dfrac{3}{7} - \\dfrac{3}{17} + \\dfrac{3}{37}}{\\dfrac{5}{7} - \\dfrac{5}{17} + \\dfrac{5}{37}} + \\dfrac{\\dfrac{1}{2} - \\dfrac{1}{3} + \\dfrac{1}{4} - \\dfrac{1}{5}}{\\dfrac{7}{5} - \\dfrac{7}{4} + \\dfrac{7}{3} - \\dfrac{7}{2}} $=<div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":" \u0110\u1eb7t nh\u00e2n t\u1eed chung r\u1ed3i r\u00fat g\u1ecdn.","explain":" Ta c\u00f3: $ F = \\dfrac{\\dfrac{3}{7} - \\dfrac{3}{17} + \\dfrac{3}{37}}{\\dfrac{5}{7} - \\dfrac{5}{17} + \\dfrac{5}{37}} + \\dfrac{\\dfrac{1}{2} - \\dfrac{1}{3} + \\dfrac{1}{4} - \\dfrac{1}{5}}{\\dfrac{7}{5} - \\dfrac{7}{4} + \\dfrac{7}{3} - \\dfrac{7}{2}} \\\\ = \\dfrac{3.\\left( \\dfrac{1}{7}-\\dfrac{1}{17}+\\dfrac{1}{37} \\right)}{5.\\left( \\dfrac{1}{7}-\\dfrac{1}{17}+\\dfrac{1}{37} \\right)}+\\dfrac{\\dfrac{1}{2}-\\dfrac{1}{3}+\\dfrac{1}{4}-\\dfrac{1}{5}}{7.\\left( \\dfrac{1}{2}-\\dfrac{1}{3}+\\dfrac{1}{4}-\\dfrac{1}{5} \\right)} \\\\ =\\dfrac{3}{5}+\\dfrac{1}{7} \\\\ =\\dfrac{21+5}{35}=\\dfrac{26}{35} $ <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb c\u1ee7a F l\u00e0 $\\dfrac{26}{35}$ <\/span><\/span> <br\/>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"98","post_id":"956","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" Cho ba s\u1ed1 $a, b, c$ th\u1ecfa m\u00e3n $abc = 1$. Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $G = \\dfrac{1}{ab + a + 1} + \\dfrac{b}{bc + b + 1} + \\dfrac{1}{abc + bc + b} $= _input_","hint":" Thay 1 = abc v\u00e0o ph\u00e2n s\u1ed1 \u0111\u1ea7u ti\u00ean trong G <br\/> Thay abc = 1 v\u00e0o ph\u00e2n s\u1ed1 th\u1ee9 ba trong G ","explain":" V\u1edbi $abc = 1$ ta c\u00f3: <br\/> $ G = \\dfrac{1}{ab + a + 1} + \\dfrac{b}{bc + b + 1} + \\dfrac{1}{abc + bc + b} \\\\ = \\dfrac{abc}{ab + a + abc} + \\dfrac{b}{bc + b + 1} + \\dfrac{1}{1 + bc + b} \\\\ = \\dfrac{abc}{a(bc + b + 1)} + \\dfrac{b}{bc + b + 1} + \\dfrac{1}{bc + b + 1} \\\\ = \\dfrac{bc}{bc + c + 1} + \\dfrac{b}{bc + b + 1} + \\dfrac{1}{bc + b + 1} \\\\ = \\dfrac{bc + b + 1}{bc + b + 1} = 1. $ <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb c\u1ee7a G l\u00e0 $1$ <\/span><\/span> <br\/>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"99","post_id":"956","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"Ch\u1ecdn k\u1ebft qu\u1ea3 \u0111\u00fang c\u1ee7a bi\u1ec3u th\u1ee9c $ S = -\\dfrac{1}{1.2} - \\dfrac{1}{2.3} - \\dfrac{1}{3.4} - ... \\dfrac{1}{(n-1)n} \\\\ ( n \\in \\mathbb{N^{*}}, n \\neq 1). $ ","select":["A. $ 1 - \\dfrac{1}{n}$","B. $1$","C. $ \\dfrac{1}{n} - 1$","D. $ \\dfrac{1}{n}$"],"explain":" Ta c\u00f3: $ S = -\\dfrac{1}{1.2} - \\dfrac{1}{2.3} - \\dfrac{1}{3.4} - ... \\dfrac{1}{(n-1)n} ( n \\in \\mathbb{N}) \\\\ = - \\left( \\dfrac{1}{1.2} + \\dfrac{1}{2.3} + \\dfrac{1}{3.4} + ...+ \\dfrac{1}{(n-1)n} \\right) \\\\ = - \\left( 1 - \\dfrac{1}{2} + \\dfrac{1}{2} - \\dfrac{1}{3} + \\dfrac{1}{3} - \\dfrac{1}{4} + ...+ \\dfrac{1}{(n-1)} - \\dfrac{1}{n} \\right) \\\\ = - \\left( 1 - \\dfrac{1}{n} \\right) \\\\ = \\dfrac{1}{n} - 1. $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C.<\/span><\/span> <br\/> <span class='basic_left'> <u> <b> Nh\u1eadn x\u00e9t: <\/b> <\/u> <br\/> Ta th\u1ea5y c\u00e1c gi\u00e1 tr\u1ecb \u1edf t\u1eed kh\u00f4ng thay \u0111\u1ed5i v\u00e0 ch\u00fang \u0111\u00fang b\u1eb1ng hi\u1ec7u hai th\u1eeba s\u1ed1 \u1edf m\u1eabu. <br\/> M\u1ed7i s\u1ed1 h\u1ea1ng \u0111\u1ec1u c\u00f3 d\u1ea1ng: $\\dfrac{m}{b(b+m)} = \\dfrac{1}{b} - \\dfrac{1}{b+m}$ <br\/> N\u00ean ta c\u00f3 m\u1ed9t t\u1ed5ng v\u1edbi c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m: c\u00e1c s\u1ed1 h\u1ea1ng li\u00ean ti\u1ebfp lu\u00f4n \u0111\u1ed1i nhau, n\u00ean c\u00e1c s\u1ed1 h\u1ea1ng trong t\u1ed5ng \u0111\u01b0\u1ee3c kh\u1eed li\u00ean ti\u1ebfp \u0111\u1ebfn khi trong t\u1ed5ng ch\u1ec9 c\u00f2n s\u1ed1 h\u1ea1ng \u0111\u1ea7u v\u00e0 s\u1ed1 h\u1ea1ng cu\u1ed1i, l\u00fac \u0111\u00f3 th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh s\u1ebd d\u1ec5 d\u00e0ng h\u01a1n.<\/span>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"},{"id":"100","post_id":"956","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["27"],["4"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"<span class='basic_left'> T\u00ecm m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9, bi\u1ebft r\u1eb1ng khi ta c\u1ed9ng s\u1ed1 \u0111\u00f3 v\u1edbi $2\\dfrac{3}{4}$ \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 bao nhi\u00eau \u0111em tr\u1eeb cho $\\dfrac{22}{5}$ th\u00ec \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0 $5,1$. <\/span> <br\/> <br\/> K\u1ebft qu\u1ea3: <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","explain":" <span class='basic_left'> G\u1ecdi s\u1ed1 ph\u1ea3i t\u00ecm l\u00e0 $x \\in \\mathbb{Q}$ <br\/> Theo b\u00e0i ta c\u00f3: $ x + 2\\dfrac{3}{4} - \\dfrac{22}{5} = 5,1 $ <br\/> Suy ra $x + \\dfrac{11}{4} - \\dfrac{22}{5} = \\dfrac{51}{10} $ <br\/> $ x - \\dfrac{33}{20} = \\dfrac{51}{10} $ <br\/> $x = \\dfrac{51}{10} + \\dfrac{33}{20} $ <br\/> $ x = \\dfrac{27}{4}$ <br\/> <br\/> <span class='basic_pink'> S\u1ed1 ph\u1ea3i t\u00ecm l\u00e0 $\\dfrac{27}{4}$ <\/span><\/span> <br\/>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:43"}]}