{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["16"],["49"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":" T\u00ednh. <br\/><br\/> $\\left( \\dfrac{-4}{7} \\right)^2$ = <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> C\u00e1ch 1: <\/b> T\u00ednh $ \\left( \\dfrac{-4}{7} \\right)^2 = \\dfrac{-4}{7} . \\dfrac{-4}{7}$ <br\/> <b> C\u00e1ch 2: <\/b> $\\left( \\dfrac{-4}{7} \\right)^2 = \\dfrac{(-4)^2}{7^2}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $\\left( \\dfrac{-4}{7} \\right)^2 = \\dfrac{(-4)^2}{7^2} = \\dfrac{16}{49}$<br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: L\u0169y th\u1eeba c\u1ee7a m\u1ed9t th\u01b0\u01a1ng b\u1eb1ng th\u01b0\u01a1ng c\u00e1c l\u0169y th\u1eeba $\\left( \\dfrac{a}{b} \\right)^m = \\dfrac{a^m}{a^m}$ <\/i> <\/span> "}]}],"id_ques":1671},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["27"],["64"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":" T\u00ednh. <br\/><br\/> $\\left( \\dfrac{-3}{-4} \\right)^3$ = <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> C\u00e1ch 1: <\/b> T\u00ednh $ \\left( \\dfrac{-3}{-4} \\right)^3 = \\dfrac{-3}{-4} . \\dfrac{-3}{-4} . \\dfrac{-3}{-4}$ <br\/> <b> C\u00e1ch 2: <\/b> $\\left( \\dfrac{-3}{-4} \\right)^3 = \\left( \\dfrac{3}{4} \\right)^3 = \\dfrac{3^3}{4^3}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $\\left( \\dfrac{-3}{-4} \\right)^3 = \\left( \\dfrac{3}{4} \\right)^3 = \\dfrac{3^3}{4^3} = \\dfrac{27}{64}$"}]}],"id_ques":1672},{"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":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $\\dfrac{-33}{40} . 12 . \\dfrac{-15}{22}$ l\u00e0: ","select":["A. $\\dfrac{27}{4} $ ","B. $ \\dfrac{-27}{4}$ ","C. $ \\dfrac{9}{16} $ ","D. $ \\dfrac{-9}{16}$"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\dfrac{-33}{40} . 12 . \\dfrac{-15}{22} = \\dfrac{-33 . 12 . (-15)}{40 . 22} = \\dfrac{5940}{880} = \\dfrac{27}{4}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. $\\dfrac{27}{4}$ <\/span> ","column":4}]}],"id_ques":1673},{"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":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $\\dfrac{-9}{17} . \\dfrac{-4}{5} . \\dfrac{51}{9} . (-10)$ l\u00e0: ","select":["A. $\\dfrac{-204}{85} $ ","B. $ \\dfrac{204}{85} $ ","C. -24 ","D. 24 "],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\dfrac{-9}{17} . \\dfrac{-4}{5} . \\dfrac{51}{9} . (-10) = \\dfrac{-9 . (-4) . 51 . (-10)}{17 . 5 . 9} = \\dfrac{-18360}{765} = -24 $ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. -24 <\/span> ","column":2}]}],"id_ques":1674},{"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":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $\\dfrac{5}{12} - \\dfrac{21}{40} : \\dfrac{14}{5} $ l\u00e0: ","select":["A. $\\dfrac{79}{75}$ ","B. $\\dfrac{-79}{75}$ ","C. $ \\dfrac{11}{48} $ ","D. $\\dfrac{-11}{48}$ "],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\dfrac{5}{12} - \\dfrac{21}{40} : \\dfrac{14}{5} &= \\dfrac{5}{12} - \\dfrac{21}{40} . \\dfrac{5}{14} \\\\ &= \\dfrac{5}{12} - \\dfrac{21 . 5}{40 . 14} \\\\ &= \\dfrac{5}{12} - \\dfrac{3}{16} \\\\ &= \\dfrac{20}{48} - \\dfrac{9}{48} \\\\ &= \\dfrac{11}{48} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. $\\dfrac{11}{48}$ <\/span> ","column":4}]}],"id_ques":1675},{"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":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $ \\left( \\dfrac{41}{75} + \\dfrac{17}{100} \\right) : \\dfrac{129}{80} $ l\u00e0: ","select":["A. $\\dfrac{43}{60}$ ","B. $\\dfrac{11}{9}$ ","C. $ \\dfrac{4}{9} $ ","D. $\\dfrac{-4}{9}$ "],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\left( \\dfrac{41}{75} + \\dfrac{17}{100} \\right) : \\dfrac{129}{80} &= \\left( \\dfrac{164}{300} + \\dfrac{51}{300} \\right) : \\dfrac{129}{80} \\\\ &= \\dfrac{164 + 51}{300} : \\dfrac{129}{80} \\\\ &= \\dfrac{43}{60} . \\dfrac{80}{129} \\\\ & = \\dfrac{43 . 80}{60 . 129} \\\\ &= \\dfrac{4}{9} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. $\\dfrac{4}{9}$ <\/span> ","column":4}]}],"id_ques":1676},{"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":"R\u00fat g\u1ecdn ph\u00e2n s\u1ed1 $P = \\dfrac{2 - \\dfrac{1}{3} + \\dfrac{1}{4}}{2 + \\dfrac{1}{6} - \\dfrac{1}{4}}$ \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0: ","select":["A. $P = 1$ ","B. $P = -1$ ","C. $P = \\dfrac{23}{12}$ ","D. $P = \\dfrac{529}{144}$ "],"hint":"Quy \u0111\u1ed3ng r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Quy \u0111\u1ed3ng r\u1ed3i t\u00ednh $2 - \\dfrac{1}{3} + \\dfrac{1}{4}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng r\u1ed3i t\u00ednh $2 + \\dfrac{1}{6} - \\dfrac{1}{4}$ <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p chia ph\u00e2n s\u1ed1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} P = \\dfrac{2 - \\dfrac{1}{3} + \\dfrac{1}{4}}{2 + \\dfrac{1}{6} - \\dfrac{1}{4}} &= \\left( 2 - \\dfrac{1}{3} + \\dfrac{1}{4} \\right) : \\left( 2 + \\dfrac{1}{6} - \\dfrac{1}{4} \\right) \\\\ &= \\left( \\dfrac{24}{12} - \\dfrac{4}{12} + \\dfrac{3}{12} \\right) : \\left( \\dfrac{24}{12} + \\dfrac{2}{12} - \\dfrac{3}{12} \\right) \\\\ &= \\dfrac{24 - 4 + 3}{12} : \\dfrac{24 + 2 - 3}{12} \\\\ &= \\dfrac{23}{12} . \\dfrac{12}{23} \\\\ &= 1 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. P = 1 <\/span> ","column":2}]}],"id_ques":1677},{"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":"R\u00fat g\u1ecdn ph\u00e2n s\u1ed1 $Q = \\dfrac{3 + \\dfrac{1}{6} - \\dfrac{2}{5}}{5 - \\dfrac{1}{6} + \\dfrac{7}{10}}$ \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0: ","select":["A. $Q = \\dfrac{166}{30} $ ","B. $Q = \\dfrac{1}{2}$ ","C. $Q = \\dfrac{83}{30}$ ","D. $Q = \\dfrac{6889}{450}$ "],"hint":"Quy \u0111\u1ed3ng r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Quy \u0111\u1ed3ng r\u1ed3i t\u00ednh $3 + \\dfrac{1}{6} - \\dfrac{2}{5}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng r\u1ed3i t\u00ednh $5 - \\dfrac{1}{6} + \\dfrac{7}{10}$ <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p chia ph\u00e2n s\u1ed1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} Q = \\dfrac{3 + \\dfrac{1}{6} - \\dfrac{2}{5}}{5 - \\dfrac{1}{6} + \\dfrac{7}{10}} &= \\left( 3 + \\dfrac{1}{6} - \\dfrac{2}{5} \\right) : \\left( 5 - \\dfrac{1}{6} + \\dfrac{7}{10} \\right) \\\\ &= \\left( \\dfrac{90}{30} + \\dfrac{5}{30} - \\dfrac{12}{30} \\right) : \\left( \\dfrac{150}{30} - \\dfrac{5}{30} + \\dfrac{21}{30} \\right) \\\\ &= \\dfrac{90 + 5 - 12}{30} : \\dfrac{150 - 5 + 21}{30} \\\\ &= \\dfrac{83}{30} . \\dfrac{30}{166} \\\\ &= \\dfrac{1}{2} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. $Q = \\dfrac{1}{2}$ <\/span> ","column":2}]}],"id_ques":1678},{"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":"R\u00fat g\u1ecdn ph\u00e2n s\u1ed1 $M = \\dfrac{\\dfrac{2}{4} - \\dfrac{2}{7} + \\dfrac{2}{9}}{\\dfrac{6}{4} - \\dfrac{6}{7} + \\dfrac{6}{9}}$ \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0: ","select":["A. $M = \\dfrac{1}{3} $ ","B. $M = \\dfrac{1}{2}$ ","C. $M = 2$ ","D. $M = 1$ "],"hint":"\u0110\u1eb7t nh\u00e2n t\u1eed chung \u1edf t\u1eed, nh\u00e2n t\u1eed chung \u1edf m\u1eabu ra ngo\u00e0i ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Nh\u1eadn th\u1ea5y \u1edf t\u1eed v\u00e0 m\u1eabu \u0111\u1ec1u c\u00f3 c\u00e1c m\u1eabu s\u1ed1 gi\u1ed1ng nhau <br\/> T\u1eed s\u1ed1 c\u00f3 nh\u00e2n t\u1eed chung l\u00e0 2, m\u1eabu s\u1ed1 c\u00f3 nh\u00e2n t\u1eed chung l\u00e0 6 <br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u1eb7t nh\u00e2n t\u1eed chung \u1edf t\u1eed, nh\u00e2n t\u1eed chung \u1edf m\u1eabu ra ngo\u00e0i <br\/> <b> B\u01b0\u1edbc 2: <\/b> R\u00fat g\u1ecdn nh\u00e2n t\u1eed chung \u1edf t\u1eed v\u00e0 m\u1eabu <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} M &= \\dfrac{\\dfrac{2}{4} - \\dfrac{2}{7} + \\dfrac{2}{9}}{\\dfrac{6}{4} - \\dfrac{6}{7} + \\dfrac{6}{9}}\\\\ &= \\dfrac{2 . \\left( \\dfrac{1}{4} - \\dfrac{1}{7} + \\dfrac{1}{9} \\right)}{6 . \\left( \\dfrac{1}{4} - \\dfrac{1}{7} + \\dfrac{1}{9} \\right)} \\\\ &= \\dfrac{2}{6} \\\\ &= \\dfrac{1}{3} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. $M = \\dfrac{1}{3}$ <\/span> ","column":2}]}],"id_ques":1679},{"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":"T\u00ecm x bi\u1ebft: <br\/><br\/> $x . \\dfrac{3}{4} = \\dfrac{7}{8} : \\dfrac{21}{5}$ ","select":["A. $x = \\dfrac{5}{18} $ ","B. $x = \\dfrac{49}{10}$ ","C. $x = \\dfrac{5}{32}$ ","D. $x = \\dfrac{441}{160}$ "],"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 $\\dfrac{7}{8} : \\dfrac{21}{5}$ theo quy t\u1eafc chia ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft ta l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x . \\dfrac{3}{4} &= \\dfrac{7}{8} : \\dfrac{21}{5} \\\\ x . \\dfrac{3}{4} &= \\dfrac{7}{8} . \\dfrac{5}{21} \\\\ x . \\dfrac{3}{4} &= \\dfrac{5}{24} \\\\ x &= \\dfrac{5}{24} : \\dfrac{3}{4} \\\\ x &= \\dfrac{5}{24} . \\dfrac{4}{3} \\\\ x &= \\dfrac{5}{18} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. $x = \\dfrac{5}{18}$ <\/span> ","column":2}]}],"id_ques":1680},{"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":"T\u00ecm x bi\u1ebft: <br\/><br\/> $ \\left(1 + \\dfrac{3}{7} \\right) . x = 1 - \\dfrac{3}{7}$ ","select":["A. $x = \\dfrac{-40}{49} $ ","B. $x = \\dfrac{2}{5}$ ","C. $x = \\dfrac{40}{49}$ ","D. $x = \\dfrac{-2}{5}$ "],"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 $1 - \\dfrac{3}{7}$; $1 + \\dfrac{3}{7}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft ta l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\left( 1 + \\dfrac{3}{7} \\right) . x &= 1 - \\dfrac{3}{7} \\\\ \\left( \\dfrac{7}{7} + \\dfrac{3}{7} \\right) . x &= \\dfrac{7}{7} - \\dfrac{3}{7} \\\\ \\dfrac{10}{7} . x &= \\dfrac{4}{7} \\\\ x &= \\dfrac{4}{7} : \\dfrac{10}{7} \\\\ x &= \\dfrac{4}{7} . \\dfrac{7}{10} \\\\ x &= \\dfrac{2}{5} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. $x = \\dfrac{2}{5}$ <\/span> ","column":2}]}],"id_ques":1681},{"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":"T\u00ecm x bi\u1ebft: <br\/><br\/> $ \\dfrac{1}{2} . (2x - 3) - 1 = \\dfrac{-3}{4}$ ","select":["A. $x = \\dfrac{-5}{4} $ ","B. $x = \\dfrac{-23}{16}$ ","C. $x = \\dfrac{7}{4}$ ","D. $x = \\dfrac{26}{16}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Chuy\u1ec3n -1 sang v\u1ebf ph\u1ea3i <br\/> L\u01b0u \u00fd khi chuy\u1ec3n v\u1ebf ph\u1ea3i \u0111\u1ed5i d\u1ea5u <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi (2x - 3) l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft ta l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 3: <\/b> Chuy\u1ec3n -3 sang v\u1ebf ph\u1ea3i, bi\u1ebfn \u0111\u1ed5i v\u00e0 t\u00ecm x <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\dfrac{1}{2} . (2x - 3) - 1 &= \\dfrac{-3}{4} \\\\ \\dfrac{1}{2} . (2x - 3) &= \\dfrac{-3}{4} + 1 \\\\ \\dfrac{1}{2} . (2x - 3) &= \\dfrac{-3}{4} + \\dfrac{4}{4} \\\\ \\dfrac{1}{2} . (2x - 3) &= \\dfrac{1}{4} \\\\ 2x - 3 &= \\dfrac{1}{4} : \\dfrac{1}{2} \\\\ 2x - 3 &= \\dfrac{1}{4} . \\dfrac{2}{1} \\\\ 2x &= \\dfrac{1}{2} + 3 \\\\ 2x &= \\dfrac{1}{2} + \\dfrac{6}{2} \\\\ x &= \\dfrac{7}{2} : 2 \\\\ x &= \\dfrac{7}{4} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. $x = \\dfrac{7}{4}$ <\/span> ","column":2}]}],"id_ques":1682},{"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":"T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c sau b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/><br\/> $\\dfrac{4}{9} . \\left( \\dfrac{5}{7} + \\dfrac{2}{5} \\right) - \\dfrac{4}{9} . \\left( \\dfrac{-2}{7} + \\dfrac{7}{5} \\right) $ ","select":["$A. 1$ ","$B. 0 $","$C. \\dfrac{2}{7}$ ","$D. \\dfrac{4}{9}$ "],"hint":"Nh\u00f3m $\\dfrac{4}{9}$ ra ngo\u00e0i sau \u0111\u00f3 ph\u00e1 ngo\u1eb7c","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Nh\u00f3m $\\dfrac{4}{9}$ ra ngo\u00e0i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ph\u00e1 ngo\u1eb7c, nh\u00f3m c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu l\u1ea1i <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh, t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & \\dfrac{4}{9} . \\left( \\dfrac{5}{7} + \\dfrac{2}{5} \\right) - \\dfrac{4}{9} . \\left( \\dfrac{-2}{7} + \\dfrac{7}{5} \\right) \\\\ &= \\dfrac{4}{9} . \\left[ \\left( \\dfrac{5}{7} + \\dfrac{2}{5} \\right) - \\left( \\dfrac{-2}{7} + \\dfrac{7}{5} \\right) \\right] \\\\ &= \\dfrac{4}{9} . \\left[ \\dfrac{5}{7} + \\dfrac{2}{5} - \\dfrac{-2}{7} - \\dfrac{7}{5} \\right] \\\\ &= \\dfrac{4}{9} . \\left[ \\left( \\dfrac{5}{7} - \\dfrac{-2}{7} \\right) + \\left( \\dfrac{2}{5} - \\dfrac{7}{5} \\right) \\right] \\\\ &= \\dfrac{4}{9} . \\left( \\dfrac{5 - (-2)}{7} + \\dfrac{2 - 7}{5} \\right) \\\\ &= \\dfrac{4}{9} . \\left( 1 + (-1) \\right) \\\\ &= \\dfrac{4}{9} . 0 \\\\ &= 0 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. 0 <\/span> ","column":2}]}],"id_ques":1683},{"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":"T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c sau b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/><br\/> $\\dfrac{4}{13} . \\dfrac{5}{11} + \\dfrac{4}{13} . \\dfrac{6}{11} - \\dfrac{4}{13} $ ","select":["$A. \\dfrac{40}{143}$ ","$B. \\dfrac{-40}{143}$ ","$C. 0 $ ","$D. 1$"],"hint":"\u0110\u1eb7t $\\dfrac{4}{13}$ ra ngo\u00e0i l\u00e0m nh\u00e2n t\u1eed chung","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u1eb7t $\\dfrac{4}{13}$ ra ngo\u00e0i l\u00e0m nh\u00e2n t\u1eed chung <br\/> <b> B\u01b0\u1edbc 2: <\/b> Bi\u1ebfn \u0111\u1ed5i t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & \\dfrac{4}{13} . \\dfrac{5}{11} + \\dfrac{4}{13} . \\dfrac{6}{11} - \\dfrac{4}{13} \\\\ &= \\dfrac{4}{13} . \\left( \\dfrac{5}{11} + \\dfrac{6}{11} - 1 \\right) \\\\ &= \\dfrac{4}{13} . \\left( \\dfrac{5 + 6}{11} - 1 \\right) \\\\ &= \\dfrac{4}{13} . \\left( 1 - 1 \\right) \\\\ &= 0 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 0 <\/span> ","column":2}]}],"id_ques":1684},{"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":"T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c sau b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/><br\/> $\\dfrac{3}{10} . \\left( \\dfrac{-4}{9} + \\dfrac{2}{5} \\right) - \\dfrac{3}{10} . \\left( \\dfrac{5}{9} + \\dfrac{-3}{5} \\right) $ ","select":["$A. \\dfrac{3}{10} $","$B. \\dfrac{-3}{10} $","$C. 0 $ ","$D. -2$ "],"hint":"Nh\u00f3m $\\dfrac{3}{10}$ ra ngo\u00e0i sau \u0111\u00f3 ph\u00e1 ngo\u1eb7c","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Nh\u00f3m $\\dfrac{3}{10}$ ra ngo\u00e0i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ph\u00e1 ngo\u1eb7c, nh\u00f3m c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu l\u1ea1i <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh, t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & \\dfrac{3}{10} . \\left( \\dfrac{-4}{9} + \\dfrac{2}{5} \\right) - \\dfrac{3}{10} . \\left( \\dfrac{5}{9} + \\dfrac{-3}{5} \\right) \\\\ &= \\dfrac{3}{10} . \\left[ \\left( \\dfrac{-4}{9} + \\dfrac{2}{5} \\right) - \\left( \\dfrac{5}{9} + \\dfrac{-3}{5} \\right) \\right] \\\\ &= \\dfrac{3}{10} . \\left[ \\dfrac{-4}{9} + \\dfrac{2}{5} - \\dfrac{5}{9} - \\dfrac{-3}{5} \\right] \\\\ &= \\dfrac{3}{10} . \\left[ \\left( \\dfrac{-4}{9} - \\dfrac{5}{9} \\right) + \\left( \\dfrac{2}{5} - \\dfrac{-3}{5} \\right) \\right] \\\\ &= \\dfrac{3}{10} . \\left( \\dfrac{-4 - 5}{9} + \\dfrac{2 - (-3)}{5} \\right) \\\\ &= \\dfrac{3}{10} . \\left( -1 + 1 \\right) \\\\ &= \\dfrac{3}{10} . 0 \\\\ &= 0 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: $C. 0$ <\/span> ","column":2}]}],"id_ques":1685},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["14"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" L\u00fac 6 gi\u1edd 50 ph\u00fat b\u1ea1n Vi\u1ec7t \u0111i xe \u0111\u1ea1p t\u1eeb A \u0111\u1ebfn B v\u1edbi v\u1eadn t\u1ed1c 15km\/h. L\u00fac 7 gi\u1edd 10 ph\u00fat Nam \u0111i xe \u0111\u1ea1p t\u1eeb B \u0111\u1ebfn A v\u1edbi v\u1eadn t\u1ed1c 12km\/h. Hai b\u1ea1n g\u1eb7p nhau l\u00fac 7 gi\u1edd 30 ph\u00fat. T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng AB. <br\/> <br\/> \u0110\u00e1p \u00e1n l\u00e0: _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 th\u1eddi gian t\u1eeb l\u00fac Vi\u1ec7t \u0111i \u0111\u1ebfn l\u00fac g\u1eb7p Nam <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng Vi\u1ec7t \u0111i \u0111\u01b0\u1ee3c cho t\u1edbi khi g\u1eb7p Nam<br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh th\u1eddi gian t\u1eeb l\u00fac Nam b\u1eaft \u0111\u1ea7u \u0111i \u0111\u1ebfn l\u00fac hai b\u1ea1n g\u1eb7p nhau <br\/> <b> B\u01b0\u1edbc 4: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng Nam \u0111i \u0111\u01b0\u1ee3c <br\/> <b> B\u01b0\u1edbc 5: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng AB <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Th\u1eddi gian t\u1eeb l\u00fac Vi\u1ec7t \u0111i \u0111\u1ebfn l\u00fac g\u1eb7p Nam l\u00e0: <br\/> 7 gi\u1edd 30 ph\u00fat - 6 gi\u1edd 50 ph\u00fat = 40 ph\u00fat = $\\dfrac{2}{3}$ (gi\u1edd) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng Vi\u1ec7t \u0111i \u0111\u01b0\u1ee3c t\u1edbi khi g\u1eb7p Nam l\u00e0: <br\/> $15 . \\dfrac{2}{3} = 10$ (km) <br\/> Th\u1eddi gian t\u1eeb l\u00fac Nam \u0111i \u0111\u1ebfn khi hai b\u1ea1n g\u1eb7p nhau l\u00e0: <br\/> 7 gi\u1edd 30 ph\u00fat - 7 gi\u1edd 10 ph\u00fat = 20 ph\u00fat = $\\dfrac{1}{3}$ (gi\u1edd) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng Nam \u0111i \u0111\u01b0\u1ee3c l\u00e0: <br\/> $12 . \\dfrac{1}{3} = 4$ (km) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng AB d\u00e0i l\u00e0: <br\/> 10 + 4 = 14 (km) <br\/> \u0110\u00e1p s\u1ed1: 14km <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 14 <\/span> "}]}],"id_ques":1686},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" M\u1ed9t b\u1ec3 \u0111ang ch\u1ee9a l\u01b0\u1ee3ng n\u01b0\u1edbc b\u1eb1ng $\\dfrac{3}{4}$ dung t\u00edch b\u1ec3. Ng\u01b0\u1eddi ta m\u1edf 1 v\u00f2i n\u01b0\u1edbc ch\u1ea3y v\u00e0o b\u1ec3, m\u1ed7i gi\u1edd ch\u1ea3y \u0111\u01b0\u1ee3c $\\dfrac{1}{8}$ b\u1ec3. H\u1ecfi sau bao l\u00e2u th\u00ec \u0111\u1ea7y b\u1ec3? <br\/> <br\/> \u0110\u00e1p \u00e1n l\u00e0: _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\u00ednh l\u01b0\u1ee3ng n\u01b0\u1edbc c\u1ea7n ch\u1ea3y th\u00eam b\u1ec3 \u0111\u1ea7y n\u01b0\u1edbc <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh th\u1eddi gian \u0111\u1ec3 ch\u1ea3y \u0111\u1ea7y b\u1ec3 <br\/> Th\u1eddi gian = l\u01b0\u1ee3ng n\u01b0\u1edbc : v\u1eadn t\u1ed1c ch\u1ea3y <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> L\u01b0\u1ee3ng n\u01b0\u1edbc c\u1ea7n ch\u1ea3y th\u00eam \u0111\u1ec3 \u0111\u1ea7y b\u1ec3 l\u00e0: <br\/> $1 - \\dfrac{3}{4} = \\dfrac{1}{4}$ (b\u1ec3) <br\/> Th\u1eddi gian \u0111\u1ec3 v\u00f2i n\u01b0\u1edbc tr\u00ean ch\u1ea3y \u0111\u1ea7y b\u1ebf l\u00e0: <br\/> $\\dfrac{1}{4} : \\dfrac{1}{8} = 2$ (gi\u1edd) <br\/> \u0110\u00e1p s\u1ed1: 2 gi\u1edd <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2 <\/span> "}]}],"id_ques":1687},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"select":["A. $\\dfrac{2}{3};\\dfrac{4}{5}$","B. $\\dfrac{1}{3};\\dfrac{4}{5}$","C. $\\dfrac{2}{3};\\dfrac{3}{5}$"],"ques":" T\u00edch c\u1ee7a hai ph\u00e2n s\u1ed1 l\u00e0 $\\dfrac{8}{15}$. Khi th\u00eam 4 \u0111\u01a1n v\u1ecb v\u00e0o ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t v\u00e0 gi\u1eef nguy\u00ean ph\u00e2n s\u1ed1 th\u1ee9 hai th\u00ec t\u00edch m\u1edbi l\u00e0 $\\dfrac{56}{15}$. T\u00ecm hai ph\u00e2n s\u1ed1 \u0111\u00f3. <br\/>","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 hai ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1ea7n l\u01b0\u1ee3t l\u00e0 a v\u00e0 b <br\/> L\u1eadp t\u00edch c\u1ee7a hai ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> L\u1eadp t\u00edch khi th\u00eam 4 \u0111\u01a1n v\u1ecb v\u00e0o ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i v\u00e0 t\u00ecm hai ph\u00e2n s\u1ed1 tr\u00ean <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi hai ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u1ea7n l\u01b0\u1ee3t l\u00e0 a v\u00e0 b <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: $a . b = \\dfrac{8}{15}$ (1) <br\/> Khi th\u00eam 4 \u0111\u01a1n v\u1ecb v\u00e0o ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t t\u00edch m\u1edbi l\u00e0: <br\/> $ \\begin{align*} (a + 4) . b &= \\dfrac{56}{15} \\\\ a . b + 4 . b &= \\dfrac{56}{15} \\hspace{2cm} (2) \\end{align*} $ <br\/> Thay (1) v\u00e0o (2) ta \u0111\u01b0\u1ee3c: <br\/> $\\begin{align*} \\dfrac{8}{15} + 4 . b &= \\dfrac{56}{15} \\\\ 4 . b &= \\dfrac{56}{15} - \\dfrac{8}{15} \\\\ 4 . b &= \\dfrac{48}{15} \\\\ b &= \\dfrac{48}{15} : 4 \\\\ b &= \\dfrac{4}{5} \\end{align*}$ <br\/> Thay b v\u00e0o (1) $\\Rightarrow$ $a = \\dfrac{8}{15} : \\dfrac{4}{5} = \\dfrac{2}{3}$"}]}],"id_ques":1688},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["7"],["5"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":" Ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x trong bi\u1ec3u th\u1ee9c $\\dfrac{4}{5} . x = \\dfrac{4}{7}$ l\u00e0: <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"T\u00ecm x r\u1ed3i t\u00ecm ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm x trong bi\u1ec3u th\u1ee9c tr\u00ean <br\/> x l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\begin{align*} \\dfrac{4}{5} . x &= \\dfrac{4}{7} \\\\ x &= \\dfrac{4}{7} : \\dfrac{4}{5} \\\\ x &= \\dfrac{4}{7} . \\dfrac{5}{4} \\\\ x &= \\dfrac{5}{7} \\end{align*}$ <br\/> Ngh\u1ecbch \u0111\u1ea3o c\u1ee7a $\\dfrac{5}{7}$ l\u00e0 $\\dfrac{7}{5}$"}]}],"id_ques":1689},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"],["3"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":" Ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x trong bi\u1ec3u th\u1ee9c $\\dfrac{3}{4} : x = \\dfrac{1}{2}$ l\u00e0: <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"T\u00ecm x r\u1ed3i t\u00ecm ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm x trong bi\u1ec3u th\u1ee9c tr\u00ean <br\/> x l\u00e0 s\u1ed1 chia ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 chia ch\u01b0a bi\u1ebft l\u1ea5y s\u1ed1 b\u1ecb chia chia cho th\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm ngh\u1ecbch \u0111\u1ea3o c\u1ee7a x <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\begin{align*} \\dfrac{3}{4} : x &= \\dfrac{1}{2} \\\\ x &= \\dfrac{3}{4} : \\dfrac{1}{2} \\\\ x &= \\dfrac{3}{4} . \\dfrac{2}{1} \\\\ x &= \\dfrac{3}{2} \\end{align*}$ <br\/> Ngh\u1ecbch \u0111\u1ea3o c\u1ee7a $\\dfrac{3}{2}$ l\u00e0 $\\dfrac{2}{3}$"}]}],"id_ques":1690}],"lesson":{"save":0,"level":2}}