{"common":{"save":0,"post_id":"819","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"1791","post_id":"819","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["247"],["60"]]],"list":[{"point":10,"width":50,"type_input":"","input_hint":["frac"],"ques":"Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh: <br\/><br\/> $A = 1 : 0,25 . \\left( 1\\dfrac{1}{4} \\right)^2 + 25 . \\left[ 1 : \\left( \\dfrac{4}{3} \\right)^2 : \\left( \\dfrac{5}{4} \\right)^3 \\right] : \\left[ 1 : \\left( - \\dfrac{2}{3}\\right)^3 \\right] $ = <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Kh\u00e9o l\u00e9o chuy\u1ec3n gi\u1eefa s\u1ed1 th\u1eadp ph\u00e2n v\u00e0 ph\u00e2n s\u1ed1 r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $ \\begin{align*} & A = 1 : 0,25 . \\left( 1\\dfrac{1}{4} \\right)^2 + 25 . \\left[ 1 : \\left( \\dfrac{4}{3} \\right)^2 : \\left( \\dfrac{5}{4} \\right)^3 \\right] : \\left[ 1 : \\left( - \\dfrac{2}{3}\\right)^3 \\right] \\\\ &= 4 . \\left( \\dfrac{5}{4} \\right)^2 + 25 . \\left[ 1 : \\dfrac{16}{9} : \\dfrac{125}{64} \\right] : \\left[ 1 : \\dfrac{-8}{27} \\right] \\\\ &= 4 . \\dfrac{25}{16} + 25 . \\left[ 1 . \\dfrac{9}{16} . \\dfrac{64}{125} \\right] : \\left[ 1 . \\dfrac{-27}{8} \\right] \\\\ &= \\dfrac{25}{4} + 25 . \\dfrac{36}{125} : \\dfrac{-27}{8} \\\\ &= \\dfrac{25}{4} + \\dfrac{36}{5} . \\dfrac{-8}{27} \\\\ &= \\dfrac{25}{4} - \\dfrac{32}{15} \\\\ &= 4\\dfrac{7}{60} = \\dfrac{247}{60} \\end{align*} $"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:55"},{"id":"1792","post_id":"819","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["20"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"B\u00e0i to\u00e1n Niu - t\u01a1n <br\/> B\u00f2 \u0103n c\u1ecf tr\u00ean m\u1ed9t c\u00e1nh \u0111\u1ed3ng. Gi\u1ea3 s\u1eed c\u1ecf m\u1ecdc d\u00e0y \u0111\u1eb7c v\u00e0 cao \u0111\u1ec1u nh\u01b0 nhau tr\u00ean to\u00e0n di\u1ec7n t\u00edch c\u00e1nh \u0111\u1ed3ng v\u00e0 b\u00f2 \u0103n c\u1ecf \u0111\u1ec1u nh\u01b0 nhau. Bi\u1ebft r\u1eb1ng 70 con b\u00f2 \u0103n h\u1ebft c\u1ecf c\u1ee7a c\u00e1nh \u0111\u1ed3ng trong 24 ng\u00e0y, n\u1ebfu c\u00f3 30 con b\u00f2 th\u00ec ch\u00fang s\u1ebd \u0103n h\u1ebft c\u1ecf c\u1ee7a c\u00e1nh \u0111\u1ed3ng trong 60 ng\u00e0y. H\u1ecfi bao nhi\u00eau con b\u00f2 s\u1ebd \u0103n h\u1ebft c\u1ecf c\u1ee7a c\u00e1nh \u0111\u1ed3ng trong 96 ng\u00e0y? <br\/> \u0110\u00e1p s\u1ed1: _input_ con b\u00f2 ","hint":"B\u00f2 \u0103n c\u1ecf \u0111\u1ec1u nh\u01b0 nhau, n\u00ean l\u01b0\u1ee3ng c\u1ecf m\u1ed7i con b\u00f2 \u0103n trong 1 ng\u00e0y l\u00e0 nh\u01b0 nhau, nh\u01b0ng c\u1ecf c\u0169ng ti\u1ebfp t\u1ee5c m\u1ecdc th\u00eam trong th\u1eddi gian t\u01b0\u01a1ng \u1ee9ng","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> B\u00f2 \u0103n c\u1ecf \u0111\u1ec1u nh\u01b0 nhau, n\u00ean l\u01b0\u1ee3ng c\u1ecf m\u1ed7i con b\u00f2 \u0103n trong 1 ng\u00e0y l\u00e0 nh\u01b0 nhau. \u0110\u00f3 l\u00e0 \"su\u1ea5t c\u1ecf\" c\u1ee7a b\u00f2 trong 1 ng\u00e0y. C\u00f3 bao nhi\u00eau \"su\u1ea5t c\u1ecf\" th\u00ec c\u00f3 b\u1ea5y nhi\u00eau con b\u00f2. <br\/> B\u00f2 ti\u1ebfp t\u1ee5c \u0103n c\u1ecf nh\u01b0ng c\u1ecf c\u0169ng ti\u1ebfp t\u1ee5c m\u1ecdc th\u00eam trong th\u1eddi gian t\u01b0\u01a1ng \u1ee9ng <br\/> Do 70 con b\u00f2 \u0103n h\u1ebft ch\u1ed7 c\u1ecf trong 24 ng\u00e0y n\u00ean 70 . 24 = 1680 (su\u1ea5t c\u1ecf) ch\u00ednh l\u00e0 to\u00e0n th\u1ec3 s\u1ed1 c\u1ecf c\u1ee7a c\u00e1nh \u0111\u1ed3ng v\u00e0 s\u1ed1 c\u1ecf m\u1ecdc th\u00eam trong 24 ng\u00e0y <br\/> N\u1ebfu 30 con b\u00f2 \u0103n h\u1ebft s\u1ed1 c\u1ecf trong 60 ng\u00e0y th\u00ec ch\u00fang \u0103n h\u1ebft 30 . 60 = 1800 (su\u1ea5t c\u1ecf) <br\/> 1800 - 1680 = 120 (su\u1ea5t c\u1ecf) ch\u00ednh l\u00e0 l\u01b0\u1ee3ng c\u1ecf m\u1ecdc th\u00eam trong 60 - 24 = 36 (ng\u00e0y). Nh\u01b0 v\u1eady 24 ng\u00e0y c\u1ecf \u0111\u00e3 m\u1ecdc th\u00eam (120 . 24) : 36 = 80 (su\u1ea5t c\u1ecf) <br\/> Do \u0111\u00f3, s\u1ed1 l\u01b0\u1ee3ng c\u1ecf l\u00fac \u0111\u1ea7u c\u1ee7a c\u00e1nh \u0111\u1ed3ng l\u00e0: <br\/> 1680 - 80 = 1600 (su\u1ea5t c\u1ecf) <br\/> S\u1ed1 su\u1ea5t c\u1ecf m\u1ecdc th\u00eam trong 96 ng\u00e0y l\u00e0: <br\/> (120 . 96) : 36 = 320 (su\u1ea5t c\u1ecf) <br\/> S\u1ed1 c\u1ecf b\u00f2 \u0111\u00e3 \u0103n trong 96 ng\u00e0y l\u00e0: <br\/> 1600 + 320 = 1920 (su\u1ea5t c\u1ecf) <br\/> S\u1ed1 b\u00f2 ph\u1ea3i t\u00ecm l\u00e0: 1920 : 96 = 20 (con) <br\/> <br\/> <span class='basic_pink'> V\u1eady ph\u00e2n s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 20 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:55"},{"id":"1793","post_id":"819","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"M\u1ed9t \u00f4 t\u00f4 du l\u1ecbch \u0111i t\u1eeb t\u1ec9nh A \u0111\u1ebfn t\u1ec9nh B trong 1 th\u1eddi gian nh\u1ea5t \u0111\u1ecbnh. Sau khi \u0111i $\\dfrac{1}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng c\u00f2n l\u1ea1i \u00f4 t\u00f4 \u0111\u00e3 t\u0103ng v\u1eadn t\u1ed1c th\u00eam 20% so v\u1edbi v\u1eadn t\u1ed1c d\u1ef1 \u0111\u1ecbnh n\u00ean \u0111\u00e3 \u0111\u1ebfn B s\u1edbm h\u01a1n so v\u1edbi quy \u0111\u1ecbnh l\u00e0 20 ph\u00fat. T\u00ednh th\u1eddi gian d\u1ef1 \u0111\u1ecbnh \u0111i h\u1ebft qu\u00e3ng \u0111\u01b0\u1eddng AB. <br\/> \u0110\u00e1p s\u1ed1: _input_ gi\u1edd ","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm ph\u00e2n s\u1ed1 ch\u1ec9 v\u1eadn t\u1ed1c c\u1ee7a xe sau khi t\u0103ng 20% so v\u1edbi v\u1eadn t\u1ed1c ban \u0111\u1ea7u <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm t\u1ec9 s\u1ed1 gi\u1eefa th\u1eddi gian \u0111i $\\dfrac{2}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng c\u00f2n l\u1ea1i so v\u1edbi th\u1eddi gian d\u1ef1 \u0111\u1ecbnh <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm ph\u00e2n s\u1ed1 ch\u1ec9 20 ph\u00fat v\u1ec1 s\u1edbm h\u01a1n d\u1ef1 \u0111\u1ecbnh <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ednh th\u1eddi gian xe d\u1ef1 \u0111\u1ecbnh \u0111i c\u1ea3 qu\u00e3ng \u0111\u01b0\u1eddng AB l\u00fac \u0111\u1ea7u <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>T\u1ef7 s\u1ed1 v\u1eadn t\u1ed1c c\u1ee7a xe sau khi t\u0103ng 20%, so v\u1edbi v\u1eadn t\u1ed1c d\u1ef1 \u0111\u1ecbnh ban \u0111\u1ea7u l\u00e0: <br\/> $1 + 20\\% = 1 + \\dfrac{1}{5} = \\dfrac{6}{5}$ (v\u1eadn t\u1ed1c ban \u0111\u1ea7u) <br\/> Suy ra, th\u1eddi gian \u0111i $1 - \\dfrac{1}{3} = \\dfrac{2}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng AB b\u1eb1ng $\\dfrac{5}{6}$ th\u1eddi gian d\u1ef1 \u0111\u1ecbnh ban \u0111\u1ea7u \u0111i qu\u00e3ng \u0111\u01b0\u1eddng \u0111\u00f3 <br\/> Do \u0111\u00f3 20 ph\u00fat ch\u00ednh l\u00e0 $1 - \\dfrac{5}{6} = \\dfrac{1}{6}$ th\u1eddi gian d\u1ef1 \u0111\u1ecbnh <br\/> V\u1eady th\u1eddi gian d\u1ef1 \u0111\u1ecbnh \u0111i $\\dfrac{2}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng AB l\u00e0: <br\/> $20 : \\dfrac{1}{6} = 120$ (ph\u00fat) <br\/> Th\u1eddi gian d\u1ef1 \u0111\u1ecbnh \u0111i qu\u00e3ng \u0111\u01b0\u1eddng AB l\u00e0: <br\/> $120 : \\dfrac{2}{3} = 180$ (ph\u00fat) = 3 gi\u1edd <br\/> \u0110\u00e1p s\u1ed1: 3 gi\u1edd <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 3 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:55"}]}