{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"Hi\u1ec7u gi\u1eefa $5\\dfrac{3}{8}$ c\u1ee7a $1\\dfrac{31}{129}$ v\u1edbi $35 \\%$ c\u1ee7a $19\\dfrac{1}{21}$ l\u00e0: _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $5\\dfrac{3}{8}$ c\u1ee7a $1 \\dfrac{31}{129}$ b\u1eb1ng c\u00e1ch vi\u1ebft c\u00e1c h\u1ed7n s\u1ed1 tr\u00ean d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i nh\u00e2n hai ph\u00e2n s\u1ed1 \u0111\u00f3 <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh $35\\%$ c\u1ee7a $19\\dfrac{1}{21}$ b\u1eb1ng c\u00e1ch vi\u1ebft ch\u00fang d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i th\u1ef1c hi\u1ec7n nh\u00e2n hai ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh hi\u1ec7u <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $5\\dfrac{3}{8}$ c\u1ee7a $1\\dfrac{31}{129}$ l\u00e0: $5\\dfrac{3}{8} . 1\\dfrac{31}{129} = \\dfrac{43}{8} . \\dfrac{160}{129} = 6\\dfrac{2}{3}$ <br\/> <br\/> $35\\%$ c\u1ee7a $19\\dfrac{1}{21}$ l\u00e0: $35\\% . 19\\dfrac{1}{21} = \\dfrac{35}{100} . \\dfrac{400}{21} = 6\\dfrac{2}{3}$ <br\/> <br\/> Hi\u1ec7u l\u00e0: $6\\dfrac{2}{3} - 6\\dfrac{2}{3} = 0$"}]}],"id_ques":1831},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"Hi\u1ec7u gi\u1eefa $\\dfrac{4}{3}$ c\u1ee7a $\\dfrac{2}{5}$ v\u1edbi $\\dfrac{4}{5}$ c\u1ee7a $\\dfrac{2}{3}$ l\u00e0: _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $\\dfrac{4}{3}$ c\u1ee7a $ \\dfrac{2}{5}$ b\u1eb1ng c\u00e1ch th\u1ef1c hi\u1ec7n nh\u00e2n hai ph\u00e2n s\u1ed1 \u0111\u00f3 <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh $\\dfrac{4}{5}$ c\u1ee7a $\\dfrac{2}{3}$ b\u1eb1ng c\u00e1ch th\u1ef1c hi\u1ec7n nh\u00e2n hai ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh hi\u1ec7u <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\dfrac{4}{3}$ c\u1ee7a $\\dfrac{2}{5}$ l\u00e0: $\\dfrac{4}{3} . \\dfrac{2}{5} = \\dfrac{4 . 2}{3 . 5} = \\dfrac{8}{15}$ <br\/> <br\/> $\\dfrac{4}{5}$ c\u1ee7a $\\dfrac{2}{3}$ l\u00e0: $\\dfrac{4}{5} . \\dfrac{2}{3} = \\dfrac{4 . 2}{5 . 3} = \\dfrac{8}{15}$ <br\/> <br\/> Hi\u1ec7u l\u00e0: $\\dfrac{8}{15} - \\dfrac{8}{15} = 0$ <br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: ($\\dfrac{a}{b}$ c\u1ee7a $\\dfrac{c}{d}$) b\u1eb1ng ($\\dfrac{c}{d}$ c\u1ee7a $\\dfrac{a}{b}$) b\u1eb1ng ($\\dfrac{a}{d}$ c\u1ee7a $\\dfrac{c}{b}$) b\u1eb1ng ($\\dfrac{c}{b}$ c\u1ee7a $\\dfrac{a}{d}$) v\u00ec \u0111\u1ec1u b\u1eb1ng $\\dfrac{a . c}{b . d}$ <\/i> <\/span> "}]}],"id_ques":1832},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["375"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"T\u00ecm m\u1ed9t s\u1ed1 bi\u1ebft $\\dfrac{2}{5} \\%$ c\u1ee7a n\u00f3 b\u1eb1ng 1,5 <br\/> S\u1ed1 \u0111\u00f3 l\u00e0: _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft $\\dfrac{2}{5} \\%$ d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 <br\/> Vi\u1ebft 1,5 d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> S\u1ed1 c\u1ea7n t\u00ecm b\u1eb1ng: $1,5 : \\dfrac{2}{5} \\%$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\dfrac{2}{5} \\% = \\dfrac{\\dfrac{2}{5}}{100} = \\dfrac{2}{5 . 100} = \\dfrac{1}{250}$ <br\/> $1,5 = \\dfrac{15}{10} = \\dfrac{3}{2}$ <br\/> S\u1ed1 c\u1ea7n t\u00ecm l\u00e0: $\\dfrac{3}{2} : \\dfrac{1}{250} = 375$<br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: Mu\u1ed1n t\u00ecm s\u1ed1 x bi\u1ebft $\\dfrac{m}{n}$ c\u1ee7a x b\u1eb1ng b khi \u0111\u00f3 $x = b : \\dfrac{m}{n}$ <\/i> <\/span> "}]}],"id_ques":1833},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-160"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"T\u00ecm m\u1ed9t s\u1ed1 bi\u1ebft $3\\dfrac{5}{8} \\%$ c\u1ee7a n\u00f3 b\u1eb1ng -5,8 <br\/> S\u1ed1 \u0111\u00f3 l\u00e0: _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft $3\\dfrac{5}{8} \\%$ d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 <br\/> Vi\u1ebft -5,8 d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> S\u1ed1 c\u1ea7n t\u00ecm b\u1eb1ng: $-5,8 : 3\\dfrac{5}{8} \\%$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $3\\dfrac{5}{8} \\% = \\dfrac{29}{8} \\% = \\dfrac{\\dfrac{29}{8}}{100} = \\dfrac{29}{8 . 100} = \\dfrac{29}{800}$ <br\/> $-5,8 = \\dfrac{-58}{10} = \\dfrac{-29}{5}$ <br\/> S\u1ed1 c\u1ea7n t\u00ecm l\u00e0: $\\dfrac{-29}{5} : \\dfrac{29}{800} = -160$<br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: Mu\u1ed1n t\u00ecm s\u1ed1 x bi\u1ebft $\\dfrac{m}{n}$ c\u1ee7a x b\u1eb1ng b khi \u0111\u00f3 $x = b : \\dfrac{m}{n}$ <\/i> <\/span> "}]}],"id_ques":1834},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3121200","3 121 200"]]],"list":[{"point":5,"width":100,"type_input":"","ques":"N\u0103m nay th\u00e0nh ph\u1ed1 c\u00f3 3 tri\u1ec7u ng\u01b0\u1eddi. Bi\u1ebft r\u1eb1ng t\u1ec9 l\u1ec7 t\u0103ng d\u00e2n s\u1ed1 h\u1eb1ng n\u0103m c\u1ee7a th\u00e0nh ph\u1ed1 l\u00e0 2%. H\u1ecfi sau 2 n\u0103m n\u1eefa s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 l\u00e0 bao nhi\u00eau? <br\/>\u0110\u00e1p s\u1ed1: _input_ ng\u01b0\u1eddi","hint":"T\u00ednh s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 sau 1 n\u0103m sau \u0111\u00f3 t\u00ednh s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 sau 2 n\u0103m","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh 2% c\u1ee7a 3 tri\u1ec7u ng\u01b0\u1eddi <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 sau 1 n\u0103m l\u00e0 <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh 2% c\u1ee7a s\u1ed1 d\u00e2n sau n\u0103m \u0111\u1ea7u ti\u00ean <br\/> T\u00ednh s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 sau n\u0103m th\u1ee9 hai v\u1edbi t\u1ec9 l\u1ec7 t\u0103ng 2% <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> S\u1ed1 ng\u01b0\u1eddi \u0111\u00e3 t\u0103ng l\u00ean sau n\u0103m \u0111\u1ea7u ti\u00ean l\u00e0: <br\/> 2% . 3 000 000 = 60 000 (ng\u01b0\u1eddi) <br\/> Sau 1 n\u0103m, s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 l\u00e0: <br\/> 3 000 000 + 60 000 = 3 060 000 (ng\u01b0\u1eddi) <br\/> S\u1ed1 d\u00e2n \u0111\u00e3 t\u0103ng l\u00ean sau n\u0103m th\u1ee9 2 l\u00e0: <br\/> 2% . 3 060 000 = 61 200 (ng\u01b0\u1eddi) <br\/> Sau 2 n\u0103m, s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 l\u00e0: <br\/> 3 060 000 + 61 200 = 3 121 200 (ng\u01b0\u1eddi) <br\/> \u0110\u00e1p s\u1ed1: 3 121 200 ng\u01b0\u1eddi <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 3 121 200 <\/span> <br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: \u1ede d\u1ea1ng to\u00e1n n\u00e0y h\u1ecdc sinh hay m\u1eafc sai l\u1ea7m l\u00e0 n\u0103m \u0111\u1ea7u t\u0103ng 2%, n\u0103m sau c\u0169ng t\u0103ng 2% v\u1eady sau 2 n\u0103m t\u1ec9 l\u1ec7 t\u0103ng l\u00e0 4%. <br\/> Khi \u0111\u00f3: Sau 2 n\u0103m, s\u1ed1 d\u00e2n c\u1ee7a th\u00e0nh ph\u1ed1 l\u00e0: <br\/> 4% . 3 000 000 + 3 000 000 = 3 120 000 (ng\u01b0\u1eddi) <\/i> <\/span> "}]}],"id_ques":1835},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["45"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"M\u1ed9t \u00f4 t\u00f4 ch\u1ea1y 150km trong 3 gi\u1edd. Gi\u1edd \u0111\u1ea7u xe ch\u1ea1y \u0111\u01b0\u1ee3c $\\dfrac{1}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng. Gi\u1edd th\u1ee9 hai xe ch\u1ea1y \u0111\u01b0\u1ee3c $\\dfrac{11}{20}$ qu\u00e3ng \u0111\u01b0\u1eddng c\u00f2n l\u1ea1i. T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng xe ch\u1ea1y trong gi\u1edd th\u1ee9 ba. <br\/>\u0110\u00e1p s\u1ed1: _input_ km","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd \u0111\u1ea7u ti\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng c\u00f2n l\u1ea1i sau gi\u1edd th\u1ee9 nh\u1ea5t <br\/> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 2 <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 3 <br\/> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 nh\u1ea5t l\u00e0: <br\/> $\\dfrac{1}{3} . 150 = 50$ (km) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng c\u00f2n l\u1ea1i l\u00e0: <br\/> 150 - 50 = 100 (km) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 hai l\u00e0: <br\/> $\\dfrac{11}{20} . 100 = 55$ (km) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 3 l\u00e0: <br\/> 100 - 55 = 45 (km) <br\/> \u0110\u00e1p s\u1ed1: 45km <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 45 <\/span> <br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: C\u0103n c\u1ee9 v\u00e0o \u0111\u1ec1 b\u00e0i ta t\u00ecm gi\u00e1 tr\u1ecb ph\u00e2n s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 cho tr\u01b0\u1edbc \u0111\u00e3 c\u00f3 s\u1eb5n trong \u0111\u1ec1 b\u00e0i ho\u1eb7c ph\u1ea3i t\u1ef1 t\u00ecm ra s\u1ed1 n\u00e0y b\u1eb1ng ph\u00e9p t\u00ednh trung gian. T\u1eeb \u0111\u00f3 t\u00ecm ra \u0111\u00e1p s\u1ed1 c\u1ee7a b\u00e0i to\u00e1n <\/i> <\/span> "}]}],"id_ques":1836},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["4875000","4 875 000"]]],"list":[{"point":5,"width":100,"type_input":"","ques":"M\u1ed9t ng\u01b0\u1eddi khi ngh\u1ec9 h\u01b0u c\u00f3 l\u01b0\u01a1ng c\u01a1 b\u1ea3n l\u00e0 6,5 tri\u1ec7u \u0111\u1ed3ng. Sau khi ngh\u1ec9 h\u01b0u th\u00ec ch\u1ec9 c\u00f2n \u0111\u01b0\u1ee3c l\u0129nh 75% m\u1ee9c l\u01b0\u01a1ng c\u01a1 b\u1ea3n n\u00f3i tr\u00ean. T\u00ednh l\u01b0\u01a1ng th\u00e1ng c\u1ee7a ng\u01b0\u1eddi \u0111\u00f3 sau khi ngh\u1ec9 h\u01b0u. <br\/>\u0110\u00e1p s\u1ed1: _input_ \u0111\u1ed3ng","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ednh 75% c\u1ee7a 6,5 tri\u1ec7u <br\/> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: 6,5 tri\u1ec7u \u0111\u1ed3ng = 6 500 000 \u0111\u1ed3ng <br\/> L\u01b0\u01a1ng th\u00e1ng c\u1ee7a ng\u01b0\u1eddi \u0111\u00f3 sau khi ngh\u1ec9 h\u01b0u l\u00e0: <br\/> 75% . 6 500 000 = 4 875 000 (\u0111\u1ed3ng) <br\/> \u0110\u00e1p s\u1ed1: 4 875 000 \u0111\u1ed3ng <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 4 875 000 <\/span> "}]}],"id_ques":1837},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["240"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"M\u1ed9t h\u1ecdc sinh \u0111\u1ecdc m\u1ed9t quy\u1ec3n s\u00e1ch trong 3 ng\u00e0y. Ng\u00e0y \u0111\u1ea7u \u0111\u1ecdc \u0111\u01b0\u1ee3c $\\dfrac{4}{15}$ s\u1ed1 trang. Ng\u00e0y th\u1ee9 hai \u0111\u1ecdc \u0111\u01b0\u1ee3c $\\dfrac{2}{5}$ s\u1ed1 trang. Ng\u00e0y th\u1ee9 3 \u0111\u1ecdc n\u1ed1t 80 trang c\u00f2n l\u1ea1i. T\u00ednh s\u1ed1 trang c\u1ee7a quy\u1ec3n s\u00e1ch. <br\/>\u0110\u00e1p s\u1ed1: _input_ trang","hint":"T\u00ednh 80 trang \u1ee9ng v\u1edbi bao nhi\u00eau ph\u1ea7n quy\u1ec3n s\u00e1ch","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Coi s\u1ed1 trang s\u00e1ch l\u00e0 m\u1ed9t \u0111\u01a1n v\u1ecb quy \u01b0\u1edbc <br\/> T\u00ednh ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 trang \u0111\u1ecdc trong ng\u00e0y th\u1ee9 3 <br\/> <b>B\u01b0\u1edbc 2: <\/b> V\u00ec .... s\u1ed1 trang l\u00e0 80 trang .... n\u00ean ta t\u00ednh \u0111\u01b0\u1ee3c s\u1ed1 trang c\u1ee7a quy\u1ec3n s\u00e1ch <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Coi s\u1ed1 trang c\u1ee7a quy\u1ec3n s\u00e1ch l\u00e0 m\u1ed9t \u0111\u01a1n v\u1ecb quy \u01b0\u1edbc, khi \u0111\u00f3 <br\/> Ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 trang \u0111\u1ecdc trong ng\u00e0y th\u1ee9 3 l\u00e0: <br\/> $1 - \\dfrac{4}{15} - \\dfrac{2}{5} = \\dfrac{1}{3}$ (s\u1ed1 trang) <br\/> V\u00ec $\\dfrac{1}{3}$ s\u1ed1 trang l\u00e0 80 trang. V\u1eady s\u1ed1 trang c\u1ee7a quy\u1ec3n s\u00e1ch l\u00e0: <br\/> $80 : \\dfrac{1}{3} = 240$ (trang) <br\/> \u0110\u00e1p s\u1ed1: 240 trang <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 240 <\/span> <br\/> <span class='basic_green'> <i> Nh\u1eadn x\u00e9t: C\u0103n c\u1ee9 v\u00e0o n\u1ed9i dung b\u00e0i to\u00e1n, t\u00ecm c\u00e1ch chuy\u1ec3n b\u00e0i to\u00e1n v\u1ec1 vi\u1ec7c t\u00ecm m\u1ed9t s\u1ed1 bi\u1ebft gi\u00e1 tr\u1ecb ph\u00e2n s\u1ed1 c\u1ee7a n\u00f3, t\u1eeb \u0111\u00f3 th\u1ef1c hi\u1ec7n ph\u00e9p chia \u0111\u1ec3 t\u00ecm k\u1ebft qu\u1ea3 c\u1ee7a b\u00e0i to\u00e1n <\/i><\/span> "}]}],"id_ques":1838},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["400"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"M\u1ed9t c\u1eeda h\u00e0ng b\u00e1n m\u1ed9t s\u1ed1 m\u00e9t v\u1ea3 trong 3 ng\u00e0y. Ng\u00e0y th\u1ee9 nh\u1ea5t b\u00e1n \u0111\u01b0\u1ee3c $\\dfrac{1}{4}$ s\u1ed1 v\u1ea3i. Ng\u00e0y th\u1ee9 hai b\u00e1n \u0111\u01b0\u1ee3c 60% s\u1ed1 v\u1ea3i. Ng\u00e0y th\u1ee9 ba b\u00e1n h\u1ebft 60 m\u00e9t v\u1ea3i cu\u1ed1i c\u00f9ng. T\u00ednh xem c\u1eeda h\u00e0ng \u0111\u00e3 b\u00e1n bao nhi\u00eau m\u00e9t v\u1ea3i. <br\/>\u0110\u00e1p s\u1ed1: _input_ m\u00e9t v\u1ea3i","hint":"T\u00ednh 60 m\u00e9t v\u1ea3i \u1ee9ng v\u1edbi bao ph\u1ea7n s\u1ed1 v\u1ea3i ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Coi s\u1ed1 m\u00e9t v\u1ea3i l\u00e0 m\u1ed9t \u0111\u01a1n v\u1ecb quy \u01b0\u1edbc <br\/> T\u00ednh ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 m\u00e9t v\u1ea3i b\u00e1n trong ng\u00e0y th\u1ee9 3 <br\/> <b>B\u01b0\u1edbc 2: <\/b> V\u00ec .... s\u1ed1 v\u1ea3i l\u00e0 60 m\u00e9t .... n\u00ean ta t\u00ednh \u0111\u01b0\u1ee3c s\u1ed1 v\u1ea3i c\u1ee7a c\u1eeda h\u00e0ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Coi s\u1ed1 v\u1ea3i c\u1ee7a c\u1eeda h\u00e0ng l\u00e0 m\u1ed9t \u0111\u01a1n v\u1ecb quy \u01b0\u1edbc, khi \u0111\u00f3 <br\/> Ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 m\u00e9t v\u1ea3i b\u00e1n trong ng\u00e0y th\u1ee9 ba l\u00e0: <br\/> $1 - \\dfrac{1}{4} - 60 \\% = \\dfrac{3}{20}$ (s\u1ed1 v\u1ea3i) <br\/> V\u00ec $\\dfrac{3}{20}$ s\u1ed1 v\u1ea3i l\u00e0 60m. V\u1eady s\u1ed1 v\u1ea3i c\u1ee7a c\u1eeda h\u00e0ng l\u00e0: <br\/> $60 : \\dfrac{3}{20} = 400$ (m) <br\/> \u0110\u00e1p s\u1ed1: 400 m\u00e9t v\u1ea3i <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 400 <\/span> "}]}],"id_ques":1839},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["36"],["45"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"S\u1ed1 s\u00e1ch \u1edf ng\u0103n A b\u1eb1ng $\\dfrac{4}{5}$ s\u1ed1 s\u00e1ch \u1edf ng\u0103n B. N\u1ebfu chuy\u1ec3n 6 cu\u1ed1n t\u1eeb ng\u0103n B sang ng\u0103n A th\u00ec s\u1ed1 s\u00e1ch \u1edf ng\u0103n A b\u1eb1ng $\\dfrac{14}{13}$ s\u1ed1 s\u00e1ch \u1edf ng\u0103n B. T\u00ecm s\u1ed1 s\u00e1ch l\u00fac \u0111\u1ea7u \u1edf m\u1ed7i ng\u0103n. <br\/>\u0110\u00e1p s\u1ed1: Ng\u0103n A: _input_ cu\u1ed1n s\u00e1ch <br\/> Ng\u0103n B: _input_ cu\u1ed1n s\u00e1ch ","hint":"T\u00ecm ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 s\u00e1ch \u1edf ng\u0103n A l\u00fac \u0111\u1ea7u so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch v\u00e0 l\u00fac sau so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch khi \u0111\u00f3 s\u1ebd t\u00ecm \u0111\u01b0\u1ee3c ph\u00e2n s\u1ed1 ch\u1ec9 6 cu\u1ed1n s\u00e1ch ","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 s\u1ed1 s\u00e1ch \u1edf ng\u0103n A so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch <br\/> N\u1ebfu coi s\u1ed1 s\u00e1ch ng\u0103n A l\u00e0 4 ph\u1ea7n b\u1eb1ng nhau, th\u00ec s\u1ed1 s\u00e1ch ng\u0103n B l\u00e0 5 ph\u1ea7n b\u1eb1ng nhau, t\u1ed5ng 2 ng\u0103n l\u00e0 9 ph\u1ea7n b\u1eb1ng nhau <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 s\u00e1ch \u1edf ng\u0103n A l\u00fac sau so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch <br\/> N\u1ebfu coi s\u1ed1 s\u00e1ch ng\u0103n A sau khi nh\u1eadn l\u00e0 14 ph\u1ea7n, th\u00ec s\u1ed1 s\u00e1ch ng\u0103n B l\u00e0 13 ph\u1ea7n, t\u1ed5ng 2 ng\u0103n l\u00e0 14 + 13 ph\u1ea7n <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm ph\u00e2n s\u1ed1 ch\u1ec9 6 cu\u1ed1n s\u00e1ch <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ecm t\u1ed5ng s\u1ed1 s\u00e1ch \u1edf hai ng\u0103n <br\/> <b> B\u01b0\u1edbc 5: <\/b> T\u00ecm s\u1ed1 s\u00e1ch \u1edf m\u1ed7i ng\u0103n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 s\u00e1ch \u1edf ng\u0103n A l\u00fac \u0111\u1ea7u so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch \u1edf hai ng\u0103n l\u00e0: $\\dfrac{4}{4 + 5} = \\dfrac{4}{9}$ <br\/> Ph\u00e2n s\u1ed1 ch\u1ec9 s\u1ed1 s\u00e1ch ng\u0103n A l\u00fac sau so v\u1edbi t\u1ed5ng s\u1ed1 s\u00e1ch l\u00e0: $\\dfrac{14}{13 + 14} = \\dfrac{14}{27}$ <br\/> Ph\u00e2n s\u1ed1 ch\u1ec9 6 cu\u1ed1n s\u00e1ch chuy\u1ec3n t\u1eeb ng\u0103n B sang ng\u0103n A l\u00e0: <br\/> $\\dfrac{14}{27} - \\dfrac{4}{9} = \\dfrac{2}{27}$ (s\u1ed1 s\u00e1ch) <br\/> S\u1ed1 s\u00e1ch \u1edf hai ng\u0103n l\u00e0: <br\/> $6 : \\dfrac{2}{27} = 81$ (cu\u1ed1n s\u00e1ch) <br\/> Ng\u0103n A c\u00f3 s\u1ed1 cu\u1ed1n s\u00e1ch l\u00e0: <br\/> $\\dfrac{4}{9} . 81 = 36$ (cu\u1ed1n) <br\/> Ng\u0103n B c\u00f3 s\u1ed1 s\u00e1ch l\u00e0: <br\/> 81 - 36 = 45 (cu\u1ed1n) <br\/> \u0110\u00e1p s\u1ed1: Ng\u0103n A: 36 cu\u1ed1n s\u00e1ch <br\/> Ng\u0103n B: 45 cu\u1ed1n s\u00e1ch <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 36; 45 <\/span> <br\/> <span class='basic_left'><span class='basic_green'> <i> Nh\u1eadn x\u00e9t: Khi gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y ta \u0111\u00e3 d\u1ef1a t\u00ean nh\u1eadn x\u00e9t quan tr\u1ecdng sau \u0111\u00e2y: T\u1ed5ng s\u1ed1 s\u00e1ch \u1edf hai ng\u0103n kh\u00f4ng \u0111\u1ed5i khi chuy\u1ec3n 6 quy\u1ec3n t\u1eeb ng\u0103n B sang ng\u0103n A. C\u0103n c\u1ee9 v\u00e0o \u0111\u00f3 ta l\u1eadp t\u1ec9 s\u1ed1 gi\u1eefa s\u1ed1 s\u00e1ch \u1edf ng\u0103n A v\u00e0 t\u1ed5ng s\u1ed1 s\u00e1ch tr\u01b0\u1edbc v\u00e0 sau khi chuy\u1ec3n. (C\u0169ng c\u00f3 th\u1ec3 d\u00f9ng s\u01a1 \u0111\u1ed3 \u0111\u1ec3 th\u1ea5y r\u00f5 h\u01a1n) <br\/> L\u00fac \u0111\u1ea7u ng\u0103n A b\u1eb1ng $\\dfrac{4}{9}$ t\u1ed5ng s\u1ed1 s\u00e1ch <br\/> L\u00fac sau ng\u0103n A b\u1eb1ng $\\dfrac{14}{27}$ t\u1ed5ng s\u1ed1 s\u00e1ch <br\/> T\u1eeb \u0111\u00f3 \u0111\u01b0a v\u1ec1 b\u00e0i to\u00e1n t\u00ecm m\u1ed9t s\u1ed1 bi\u1ebft gi\u00e1 tr\u1ecb ph\u00e2n s\u1ed1 c\u1ee7a n\u00f3 (t\u00ecm s\u1ed1 s\u00e1ch bi\u1ebft $\\dfrac{2}{27}$ c\u1ee7a n\u00f3 l\u00e0 6 quy\u1ec3n) <\/i> <\/span> "}]}],"id_ques":1840},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" C\u00f9ng m\u1ed9t c\u00f4ng vi\u1ec7c n\u1ebfu m\u1ed7i ng\u01b0\u1eddi l\u00e0m ri\u00eang th\u00ec ba ng\u01b0\u1eddi A, B, C ho\u00e0n th\u00e0nh c\u00f4ng vi\u1ec7c trong th\u1eddi gian l\u1ea7n l\u01b0\u1ee3t l\u00e0 6 gi\u1edd, 8 gi\u1edd v\u00e0 12 gi\u1edd. Hai ng\u01b0\u1eddi B v\u00e0 C l\u00e0m chung trong 2 gi\u1edd, sau \u0111\u00f3 ng\u01b0\u1eddi C chuy\u1ec3n \u0111i l\u00e0m vi\u1ec7c kh\u00e1c, A v\u00e0 B ti\u1ebfp t\u1ee5c ho\u00e0n th\u00e0nh c\u00f4ng vi\u1ec7c cho \u0111\u1ebfn xong. H\u1ecfi A l\u00e0m trong m\u1ea5y gi\u1edd? ","select":["A. 2 gi\u1edd ","B. 3 gi\u1edd ","C. 2,5 gi\u1edd","D. 5 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\u00ednh s\u1ed1 ph\u1ea7n c\u00f4ng vi\u1ec7c m\u1ed7i ng\u01b0\u1eddi l\u00e0m \u0111\u01b0\u1ee3c trong 1 gi\u1edd <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh s\u1ed1 ph\u1ea7n c\u00f4ng vi\u1ec7c hai ng\u01b0\u1eddi B v\u00e0 C l\u00e0m trong 2 gi\u1edd <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh s\u1ed1 ph\u1ea7n c\u00f4ng vi\u1ec7c c\u00f2n l\u1ea1i ng\u01b0\u1eddi A v\u00e0 ng\u01b0\u1eddi B c\u1ea7n ho\u00e0n th\u00e0nh <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ednh th\u1eddi gian ng\u01b0\u1eddi A v\u00e0 ng\u01b0\u1eddi B ho\u00e0n th\u00e0nh n\u1ed1t c\u00f4ng vi\u1ec7c <br\/> (\u0110\u00f3 c\u0169ng ch\u00ednh l\u00e0 th\u1eddi gian ng\u01b0\u1eddi A \u0111\u00e3 l\u00e0m) <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Trong 1 gi\u1edd 3 ng\u01b0\u1eddi A, B, C l\u00e0m \u0111\u01b0\u1ee3c l\u1ea7n l\u01b0\u1ee3t l\u00e0: $\\dfrac{1}{6}$ ; $\\dfrac{1}{8}$; $\\dfrac{1}{12}$ c\u00f4ng vi\u1ec7c <br\/> S\u1ed1 ph\u1ea7n c\u00f4ng vi\u1ec7c hai ng\u01b0\u1eddi B v\u00e0 C l\u00e0m \u0111\u01b0\u1ee3c trong 2 gi\u1edd l\u00e0: <br\/> $\\left( \\dfrac{1}{8} + \\dfrac{1}{12} \\right) . 2 = \\dfrac{5}{12}$ (c\u00f4ng vi\u1ec7c) <br\/> S\u1ed1 ph\u1ea7n c\u00f4ng vi\u1ec7c c\u00f2n l\u1ea1i A v\u00e0 B c\u1ea7n ho\u00e0n th\u00e0nh l\u00e0: <br\/> $1 - \\dfrac{5}{12} = \\dfrac{7}{12}$ (c\u00f4ng vi\u1ec7c) <br\/> Th\u1eddi gian A v\u00e0 B ho\u00e0n th\u00e0nh n\u1ed1t c\u00f4ng vi\u1ec7c l\u00e0: <br\/> $\\dfrac{7}{12} : \\left( \\dfrac{1}{6} + \\dfrac{1}{8} \\right) = 2$ (gi\u1edd) <br\/> Th\u1eddi gian ng\u01b0\u1eddi A v\u00e0 ng\u01b0\u1eddi B ho\u00e0n th\u00e0nh n\u1ed1t c\u00f4ng vi\u1ec7c c\u0169ng ch\u00ednh l\u00e0 th\u1eddi gian ng\u01b0\u1eddi A \u0111\u00e3 l\u00e0m, v\u1eady A \u0111\u00e3 l\u00e0m 2 gi\u1edd <br\/> \u0110\u00e1p s\u1ed1: 2 gi\u1edd <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. 2 gi\u1edd <\/span> ","column":4}]}],"id_ques":1841},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"Ba x\u00e3 A, B, C c\u00f3 12000 d\u00e2n, bi\u1ebft $\\dfrac{2}{3}$ s\u1ed1 d\u00e2n x\u00e3 A b\u1eb1ng 0,5 s\u1ed1 d\u00e2n x\u00e3 B v\u00e0 b\u1eb1ng $\\dfrac{2}{5}$ s\u1ed1 d\u00e2n x\u00e3 C. T\u00ednh s\u1ed1 d\u00e2n m\u1ed7i x\u00e3. <br\/> D\u00e2n s\u1ed1 3 x\u00e3 A, B, C l\u1ea7n l\u01b0\u1ee3t l\u00e0: ","select":["A. 4000; 5000; 3000 ","B. 4000; 3000; 5000 ","C. 3000; 4000; 5000","D. 5000; 3000; 4000 "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft bi\u1ec3u th\u1ee9c th\u1ec3 hi\u1ec7n t\u1ec9 s\u1ed1 gi\u1eefa d\u00e2n s\u1ed1 c\u00e1c x\u00e3 A, C so v\u1edbi x\u00e3 B <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm t\u1ec9 s\u1ed1 c\u1ee7a d\u00e2n s\u1ed1 3 x\u00e3 so v\u1edbi d\u00e2n s\u1ed1 x\u00e3 B <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm d\u00e2n s\u1ed1 x\u00e3 B <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ecm d\u00e2n s\u1ed1 c\u00e1c x\u00e3 A, x\u00e3 C <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: <br\/> $\\dfrac{2}{3}A = 0,5B = \\dfrac{2}{5}C$ $\\Rightarrow$ $\\dfrac{4}{3}A = B = \\dfrac{4}{5}C$ <br\/> V\u1eady $A = B : \\dfrac{4}{3} = \\dfrac{3}{4}B$; $C = B : \\dfrac{4}{5} = \\dfrac{5}{4}B$ <br\/> T\u1ec9 s\u1ed1 gi\u1eefa d\u00e2n s\u1ed1 3 x\u00e3 so v\u1edbi d\u00e2n s\u1ed1 x\u00e3 B l\u00e0: <br\/> $\\dfrac{3}{4} + 1 + \\dfrac{5}{4} = 3$ <br\/> S\u1ed1 d\u00e2n c\u1ee7a x\u00e3 B l\u00e0: <br\/> $12000 : 3 = 4000$ (ng\u01b0\u1eddi) <br\/> S\u1ed1 d\u00e2n x\u00e3 A l\u00e0: <br\/> $\\dfrac{3}{4} . 4000 = 3000$ (ng\u01b0\u1eddi) <br\/> S\u1ed1 d\u00e2n x\u00e3 C l\u00e0: <br\/> $\\dfrac{5}{4} . 4000 = 5000$ (ng\u01b0\u1eddi) <br\/> \u0110\u00e1p s\u1ed1: X\u00e3 A: 3000 ng\u01b0\u1eddi <br\/> X\u00e3 B: 4000 ng\u01b0\u1eddi <br\/> X\u00e3 C: 5000 ng\u01b0\u1eddi <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 3000; 4000; 5000 <\/span> ","column":2}]}],"id_ques":1842},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Cho A = $0,85 . 1\\dfrac{1}{4} - 0,5 : 0,2 - 0,15$ <br\/> $25\\%$ c\u1ee7a A l\u00e0: ","select":["A. $\\dfrac{-127}{320}$ ","B. $\\dfrac{-137}{320}$ ","C. $\\dfrac{-127}{80}$","D. $\\dfrac{-137}{80}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft c\u00e1c s\u1ed1 th\u1eadp ph\u00e2n tr\u00ean d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i t\u00ednh A <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh 25% c\u1ee7a A <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & 0,85 . 1\\dfrac{1}{4} - 0,5 : 0,2 - 0,15 \\\\ &= \\dfrac{85}{100} . \\dfrac{5}{4} - \\dfrac{5}{10} : \\dfrac{2}{10} - \\dfrac{15}{100} \\\\ &= \\dfrac{17}{20} . \\dfrac{5}{4} - \\dfrac{1}{2} . 5 - \\dfrac{3}{20} \\\\ &= \\dfrac{17}{16} - \\dfrac{5}{2} - \\dfrac{3}{20} \\\\ &= \\dfrac{85}{80} - \\dfrac{200}{80} - \\dfrac{12}{80} \\\\ &= \\dfrac{-127}{80} \\end{align*}$ <br\/> $25\\% A = \\dfrac{25}{100} . \\dfrac{-127}{80} = \\dfrac{-127}{320}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. $\\dfrac{-127}{320}$ <\/span> ","column":2}]}],"id_ques":1843},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"Cho A = $3,1 : 2,9 - 1,7 : 0,01 - 3,8 . \\dfrac{15}{76}$ <br\/> $\\dfrac{1}{3}$ c\u1ee7a A l\u00e0: ","select":["A. $\\dfrac{-19683}{116}$ ","B. $\\dfrac{-6561}{116}$ ","C. $\\dfrac{6561}{116}$","D. $\\dfrac{19683}{116}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft c\u00e1c s\u1ed1 th\u1eadp ph\u00e2n tr\u00ean d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i t\u00ednh A <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh $\\dfrac{1}{3}$ c\u1ee7a A <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & 3,1 : 2,9 - 1,7 : 0,01 - 3,8 . \\dfrac{15}{76} \\\\ &= \\dfrac{31}{10} : \\dfrac{29}{10} - \\dfrac{17}{10} : \\dfrac{1}{100} - \\dfrac{38}{10} . \\dfrac{15}{76} \\\\ &= \\dfrac{31}{10} . \\dfrac{10}{29} - \\dfrac{17}{10} . 100 - \\dfrac{3}{4} \\\\ &= \\dfrac{31}{29} - 170 - \\dfrac{3}{4} \\\\ &= \\dfrac{-19683}{116} \\end{align*}$ <br\/> $\\dfrac{1}{3} A = \\dfrac{-19683}{116} . \\dfrac{1}{3} = \\dfrac{-6561}{116}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. $\\dfrac{-6561}{116}$ <\/span> ","column":2}]}],"id_ques":1844},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["60"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Bi\u1ebft $\\dfrac{3}{15} - \\dfrac{2}{5} + \\dfrac{1}{3}$ c\u1ee7a a b\u1eb1ng 8 <br\/>V\u1eady A = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $\\dfrac{3}{15} - \\dfrac{2}{5} + \\dfrac{1}{3} = \\dfrac{m}{n}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh a bi\u1ebft $\\dfrac{m}{n}$ c\u1ee7a a b\u1eb1ng 8 <br\/> V\u1eady a = $8 : \\dfrac{m}{n}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\dfrac{3}{15} - \\dfrac{2}{5} + \\dfrac{1}{3} = \\dfrac{3}{15} - \\dfrac{6}{15} + \\dfrac{5}{15} = \\dfrac{2}{15}$ <br\/> V\u00ec $\\dfrac{2}{15}$ c\u1ee7a A b\u1eb1ng 8 <br\/> N\u00ean A = $8 : \\dfrac{2}{15} = 60$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 60 <\/span> "}]}],"id_ques":1845},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["8"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Bi\u1ebft $\\dfrac{9}{4} - \\dfrac{3}{8} + \\dfrac{5}{2}$ c\u1ee7a a b\u1eb1ng 35 <br\/>V\u1eady a = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $\\dfrac{9}{4} - \\dfrac{3}{8} + \\dfrac{5}{2} = \\dfrac{m}{n}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh a bi\u1ebft $\\dfrac{m}{n}$ c\u1ee7a a b\u1eb1ng 35 <br\/> V\u1eady a = $35 : \\dfrac{m}{n}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\dfrac{9}{4} - \\dfrac{3}{8} + \\dfrac{5}{2} = \\dfrac{18}{8} - \\dfrac{3}{8} + \\dfrac{20}{8} = \\dfrac{35}{8}$ <br\/> V\u00ec $\\dfrac{35}{8}$ c\u1ee7a a b\u1eb1ng 35 <br\/> N\u00ean a = $35 : \\dfrac{35}{8} = 8$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 8 <\/span> "}]}],"id_ques":1846},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["300"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Bi\u1ebft $1,75 - 1\\dfrac{3}{5}$ c\u1ee7a a b\u1eb1ng 45 <br\/>V\u1eady a = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $1,75 - 1\\dfrac{3}{5} = \\dfrac{m}{n}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh a bi\u1ebft $\\dfrac{m}{n}$ c\u1ee7a a b\u1eb1ng 45 <br\/> V\u1eady a = $45 : \\dfrac{m}{n}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $1,75 - 1\\dfrac{3}{5} = \\dfrac{175}{100} - \\dfrac{8}{5} = \\dfrac{3}{20}$ <br\/> V\u00ec $\\dfrac{3}{20}$ c\u1ee7a a b\u1eb1ng 45 <br\/> N\u00ean a = $45 : \\dfrac{3}{20} = 300$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 300 <\/span> "}]}],"id_ques":1847},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["4"],["5"]]],"list":[{"point":5,"width":50,"ques":"Cho $A = \\dfrac{4}{5} - 1,2 + 1\\dfrac{2}{5}$ <br\/> $B = \\dfrac{2}{9} + 1\\dfrac{2}{3} - \\dfrac{4}{3}$ <br\/> <br\/> V\u1eady A : B = _input_<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\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft c\u00e1c ph\u00e2n s\u1ed1 v\u00e0 h\u1ed7n s\u1ed1 tr\u00ean d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i t\u00ednh A v\u00e0 B <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh A chia B <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $A = \\dfrac{4}{5} - 1,2 + 1\\dfrac{2}{5} = \\dfrac{4}{5} - \\dfrac{12}{10} + \\dfrac{7}{5} = 1$ <br\/> <br\/> $B = \\dfrac{2}{9} + 1\\dfrac{2}{3} - \\dfrac{4}{3} = \\dfrac{2}{9} + \\dfrac{15}{9} - \\dfrac{12}{9} = \\dfrac{5}{9}$ <br\/> <br\/> $A : B = 1 : \\dfrac{5}{9} = \\dfrac{9}{5} = 1\\dfrac{4}{5}$"}]}],"id_ques":1848},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"C\u1ea1nh c\u1ee7a m\u1ed9t h\u00ecnh vu\u00f4ng t\u0103ng 20%. Di\u1ec7n t\u00edch c\u1ee7a n\u00f3 t\u0103ng: ","select":["A. 144% ","B. 40% ","C. 80%","D. 44% "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi c\u1ea1nh h\u00ecnh vu\u00f4ng l\u00e0 a <br\/> T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh h\u00ecnh vu\u00f4ng sau khi t\u0103ng 20% <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh di\u1ec7n t\u00edch h\u00ecnh vu\u00f4ng l\u00fac \u0111\u1ea7u <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh di\u1ec7n t\u00edch h\u00ecnh vu\u00f4ng l\u00fac sau <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ednh ph\u1ea7n di\u1ec7n t\u00edch t\u0103ng th\u00eam <br\/> <b> B\u01b0\u1edbc 5: <\/b> T\u00ednh t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m gi\u1eefa ph\u1ea7n di\u1ec7n t\u00edch t\u0103ng th\u00eam so v\u1edbi di\u1ec7n t\u00edch ban \u0111\u1ea7u <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> G\u1ecdi \u0111\u1ed9 d\u00e0i c\u1ea1nh h\u00ecnh vu\u00f4ng l\u00e0 a (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> \u0110\u1ed9 d\u00e0i c\u1ea1nh h\u00ecnh vu\u00f4ng sau khi t\u0103ng 20% l\u00e0: a + 20% . a = 1,2 . a (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> Di\u1ec7n t\u00edch h\u00ecnh vu\u00f4ng ban \u0111\u1ea7u l\u00e0: $a . a = a^2$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> Di\u1ec7n t\u00edch h\u00ecnh vu\u00f4ng m\u1edbi l\u00e0: $1,2 . a . 1,2 . a = 1,44 . a^2$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> Ph\u1ea7n di\u1ec7n t\u00edch \u0111\u00e3 t\u0103ng th\u00eam l\u00e0: <br\/> $1,44 . a^2 - a^2 = 0,44 . a^2$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> T\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m gi\u1eefa ph\u1ea7n di\u1ec7n t\u00edch t\u0103ng th\u00eam so v\u1edbi di\u1ec7n t\u00edch ban \u0111\u1ea7u l\u00e0: <br\/> $\\dfrac{0,44 . a^2}{a^2} . 100 = 44\\%$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. 44% <\/span> ","column":2}]}],"id_ques":1849},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"\u0110\u00e1y c\u1ee7a m\u1ed9t tam gi\u00e1c t\u0103ng 20%, chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng gi\u1ea3m 20%. Di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c: ","select":["A. T\u0103ng 4% ","B. Kh\u00f4ng \u0111\u1ed5i ","C. Gi\u1ea3m 4%","D. Gi\u1ea3m 10% "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi \u0111\u00e1y v\u00e0 chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng l\u1ea7n l\u01b0\u1ee3t l\u00e0 d, h <br\/> T\u00ednh \u0111\u1ed9 \u0111\u00e1y m\u1edbi khi t\u0103ng 20% v\u00e0 chi\u1ec1u cao m\u1edbi khi gi\u1ea3m 20% <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c l\u00fac \u0111\u1ea7u <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c l\u00fac sau <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ednh ph\u1ea7n di\u1ec7n t\u00edch t\u0103ng th\u00eam ho\u1eb7c gi\u1ea3m \u0111i <br\/> <b> B\u01b0\u1edbc 5: <\/b> T\u00ednh t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m gi\u1eefa ph\u1ea7n di\u1ec7n t\u00edch t\u0103ng th\u00eam so v\u1edbi di\u1ec7n t\u00edch ban \u0111\u1ea7u <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> G\u1ecdi \u0111\u1ed9 d\u00e0i \u0111\u00e1y tam gi\u00e1c l\u00e0 d (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> \u0110\u1ed9 d\u00e0i \u0111\u00e1y tam gi\u00e1c sau khi t\u0103ng 20% l\u00e0: d + 20% . d = 1,2 . d (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> Chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng l\u00e0 h (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> Chi\u1ec1u cao m\u1edbi khi gi\u1ea3m 20% l\u00e0: h - h . 20% = 0,8 . h (\u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i) <br\/> Di\u1ec7n t\u00edch tam gi\u00e1c ban \u0111\u1ea7u l\u00e0: $ \\dfrac{1}{2}. d . h = \\dfrac{d . h}{2}$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> Di\u1ec7n t\u00edch tam gi\u00e1c m\u1edbi l\u00e0: $\\dfrac{1}{2} . 1,2 . d . 0,8 . h = \\dfrac{0,96 . d . h}{2}$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> Ph\u1ea7n di\u1ec7n t\u00edch \u0111\u00e3 gi\u1ea3m \u0111i l\u00e0: <br\/> $\\dfrac{d . h}{2} - \\dfrac{0,96 . d . h}{2} = 0,02 . d . h$ (\u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch) <br\/> T\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m gi\u1eefa ph\u1ea7n di\u1ec7n t\u00edch gi\u1ea3m \u0111i so v\u1edbi di\u1ec7n t\u00edch ban \u0111\u1ea7u l\u00e0: <br\/> $\\dfrac{0,02 . d . h}{\\dfrac{d . h}{2}} . 100 = 4\\%$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. Gi\u1ea3m 4% <\/span> ","column":2}]}],"id_ques":1850}],"lesson":{"save":0,"level":2}}