{"segment":[{"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":"M\u1eabu s\u1ed1 chung nh\u1ecf nh\u1ea5t c\u1ee7a hai ph\u00e2n s\u1ed1 $\\dfrac{13}{2^2 . 3 . 5^2}$ v\u00e0 $\\dfrac{11}{2^4 . 3^2 . 5 . 7}$ l\u00e0:","select":["A. $2^2 . 3 . 5 . 7$ ","B. $2^4 . 3^2 . 5^2 . 7$ ","C. $2^5 . 3^3 . 5^3 . 7$","D. $2 . 3 . 5 . 7$ "],"hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>V\u00ec c\u00e1c m\u1eabu s\u1ed1 \u0111\u1ec1u \u0111\u01b0\u1ee3c ph\u00e2n t\u00edch ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 n\u00ean: <br\/> M\u1eabu s\u1ed1 chung l\u00e0: $BCNN(2^2 . 3 . 5^2, 2^4 . 3^2 . 5 . 7) = 2^4 . 3^2 . 5^2 . 7$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1521},{"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":"M\u1eabu s\u1ed1 chung nh\u1ecf nh\u1ea5t c\u1ee7a hai ph\u00e2n s\u1ed1 $\\dfrac{-19}{3^2 . 7 . 11}$ v\u00e0 $\\dfrac{-23}{3 . 7^2 . 13}$","select":["A. $3 . 7 . 13$ ","B. $3^2 . 7^2 . 11 . 13$ ","C. $3^2 . 7 . 11 . 13$","D. $3 . 7^2 . 11 . 13$ "],"hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>V\u00ec c\u00e1c m\u1eabu s\u1ed1 \u0111\u1ec1u \u0111\u01b0\u1ee3c ph\u00e2n t\u00edch ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 n\u00ean: <br\/> M\u1eabu s\u1ed1 chung l\u00e0: $BCNN(3^2 . 7 . 11, 3 . 7^2 . 13) = 3^2 . 7^2 . 11 . 13$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1522},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["243"],["432"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"R\u00fat g\u1ecdn r\u1ed3i quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{-12}{81}; \\dfrac{36}{64}$ v\u00e0 ph\u00e2n s\u1ed1 $\\dfrac{25}{-30}$ ta \u0111\u01b0\u1ee3c 3 ph\u00e2n s\u1ed1 l\u00e0: <br\/> $ \\dfrac{-64}{432};$ <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>; $\\dfrac{-360}{432}$ ","hint":"R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 \u0111\u1ebfn t\u1ed1i gi\u1ea3n r\u1ed3i quy \u0111\u1ed3ng ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm m\u1eabu s\u1ed1 chung ch\u00ednh b\u1eb1ng BCNN c\u1ee7a c\u00e1c m\u1eabu s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\dfrac{-12}{81} = \\dfrac{-12 : 3}{81 : 3} = \\dfrac{-4}{27}$ <br\/> $\\dfrac{36}{64} = \\dfrac{36 : 4}{64 : 4} = \\dfrac{9}{16}$ <br\/> $\\dfrac{25}{-30} = \\dfrac{25 : (-5)}{-30 : (-5)} = \\dfrac{-5}{6}$ <br\/> M\u1eabu s\u1ed1 chung: BCNN(27, 16, 6) = 432 <br\/> Th\u1eeba s\u1ed1 ph\u1ee5: 432 : 27 = 16; 432 : 16 = 27; 432 : 6 = 72 <br\/> $\\dfrac{-4}{27} = \\dfrac{-4 . 16}{27 . 16} = \\dfrac{-64}{432}$ <br\/> $\\dfrac{9}{16} = \\dfrac{9 . 27}{16 . 27} = \\dfrac{243}{432}$ <br\/> $\\dfrac{-5}{6} = \\dfrac{-5 . 72}{6 . 72} = \\dfrac{-360}{432}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: 243; 432 <\/span> "}]}],"id_ques":1523},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["14"],["350"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"R\u00fat g\u1ecdn r\u1ed3i quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{8}{2^3 . 5^2}$ v\u00e0 ph\u00e2n s\u1ed1 $\\dfrac{10}{2^2 . 5^2 . 7}$ ta \u0111\u01b0\u1ee3c 2 ph\u00e2n s\u1ed1 l\u00e0: <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> v\u00e0 $\\dfrac{5}{350}$ ","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 r\u1ed3i r\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm m\u1eabu s\u1ed1 chung <br\/> <b> B\u01b0\u1edbc 3: <\/b> Quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\dfrac{8}{2^3 . 5^2} = \\dfrac{8}{8 . 25} = \\dfrac{1}{25}$ <br\/> $\\dfrac{10}{2^2 . 5^2 . 7} = \\dfrac{2 . 5}{2^2 . 5^2 . 7} = \\dfrac{1}{2 . 5 . 7} = \\dfrac{1}{70}$ <br\/> M\u1eabu s\u1ed1 chung: BCNN(25, 70) = 350 <br\/> Th\u1eeba s\u1ed1 ph\u1ee5: 350 : 25 = 14; 350 : 70 = 5 <br\/> $\\dfrac{1}{25} = \\dfrac{1 . 14}{25 . 14} = \\dfrac{14}{350}$ <br\/> $\\dfrac{1}{70} = \\dfrac{1 . 5}{70 . 5} = \\dfrac{5}{350}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: 14; 350 <\/span> "}]}],"id_ques":1524},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-35"],["45"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"R\u00fat g\u1ecdn r\u1ed3i quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{14}{-18}; \\dfrac{-6}{-18}; \\dfrac{-4}{10}$ ta \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n s\u1ed1 l\u00e0: <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>; $\\dfrac{15}{45}; \\dfrac{-18}{45}$ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> TR\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm m\u1eabu s\u1ed1 chung <br\/> <b> B\u01b0\u1edbc 3: <\/b> Quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\dfrac{14}{-18} = \\dfrac{14 : (-2)}{-18 : (-2)} = \\dfrac{-7}{9}$ <br\/> $\\dfrac{-6}{-18} = \\dfrac{-6 : (-6)}{-18 : (-6)} = \\dfrac{1}{3}$ <br\/> $\\dfrac{-4}{10} = \\dfrac{-4 : 2}{10 : 2} = \\dfrac{-2}{5}$ <br\/> M\u1eabu s\u1ed1 chung: BCNN(3, 9, 5) = 45 <br\/> Th\u1eeba s\u1ed1 ph\u1ee5: 45 : 3 = 15; 45 : 9 = 5; 45 : 5 = 9 <br\/> $\\dfrac{-7}{9} = \\dfrac{-7 . 5}{9 . 5} = \\dfrac{-35}{45}$ <br\/> $\\dfrac{1}{3} = \\dfrac{1 . 15}{3 . 15} = \\dfrac{15}{45}$ <br\/> $\\dfrac{-2}{5} = \\dfrac{-2 . 9}{5 . 9} = \\dfrac{-18}{45}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: -35; 45 <\/span> "}]}],"id_ques":1525},{"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":"H\u00e3y ch\u1ecdn d\u1ea5u th\u00edch h\u1ee3p thay cho d\u1ea5u <span class='basic_hoi_black'>?<\/span> <br\/> $\\dfrac{-11}{14}$ <span class='basic_hoi_black'>?<\/span> $\\dfrac{5}{-11}$","select":["A. > ","B. < ","C. ="],"hint":"Quy \u0111\u1ed3ng r\u1ed3i so s\u00e1nh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a ph\u00e2n s\u1ed1 $\\dfrac{5}{-11}$ v\u1ec1 m\u1eabu d\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu hai ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\dfrac{5}{-11} = \\dfrac{5 . (-1)}{-11 . (-1)} = \\dfrac{-5}{11}$ <br\/> M\u1eabu s\u1ed1 chung: 154 <br\/> $\\dfrac{-11}{14} = \\dfrac{-11 . 11}{14 . 11} = \\dfrac{-121}{154}$ <br\/> $\\dfrac{-5}{11} = \\dfrac{-5 . 14}{11 . 14} = \\dfrac{-70}{154}$ <br\/> V\u00ec $\\dfrac{-121}{154} < \\dfrac{-70}{154}$ n\u00ean $\\dfrac{-11}{14} < \\dfrac{-5}{11}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. < <\/span> ","column":3}]}],"id_ques":1526},{"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":"H\u00e3y ch\u1ecdn d\u1ea5u th\u00edch h\u1ee3p thay cho d\u1ea5u <span class='basic_hoi_black'>?<\/span> <br\/> $\\dfrac{14}{26}$ <span class='basic_hoi_black'>?<\/span> $\\dfrac{25}{45}$","select":["A. > ","B. < ","C. ="],"hint":"R\u00fat g\u1ecdn r\u1ed3i quy \u0111\u1ed3ng m\u1eabu v\u00e0 so s\u00e1nh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn hai ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\dfrac{14}{26} = \\dfrac{14 : 2}{26 : 2} = \\dfrac{7}{13}$ <br\/> $\\dfrac{25}{45} = \\dfrac{25 : 5}{45 : 5} = \\dfrac{5}{9}$ <br\/> M\u1eabu s\u1ed1 chung: 117 <br\/> $\\dfrac{7}{13} = \\dfrac{7 . 9}{13 . 9} = \\dfrac{63}{117}$ <br\/> $\\dfrac{5}{9} = \\dfrac{5 . 13}{9 . 13} = \\dfrac{65}{117}$ <br\/> V\u00ec $\\dfrac{63}{117} < \\dfrac{65}{117}$ n\u00ean $\\dfrac{7}{13} < \\dfrac{5}{9}$ <br\/> Hay $\\dfrac{14}{26} < \\dfrac{25}{45}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. < <\/span> ","column":3}]}],"id_ques":1527},{"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":"H\u00e3y ch\u1ecdn d\u1ea5u th\u00edch h\u1ee3p thay cho d\u1ea5u <span class='basic_hoi_black'>?<\/span> <br\/> $\\dfrac{-18}{28}$ <span class='basic_hoi_black'>?<\/span> $\\dfrac{58}{-78}$","select":["A. > ","B. < ","C. ="],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn hai ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\dfrac{-18}{28} = \\dfrac{-18 : 2}{28 : 2} = \\dfrac{-9}{14}$ <br\/> $\\dfrac{58}{-78} = \\dfrac{58 : (-2)}{-78 : (-2)} = \\dfrac{-29}{39}$ <br\/> M\u1eabu s\u1ed1 chung: 546 <br\/> $\\dfrac{-9}{14} = \\dfrac{-9 . 39}{14 . 39} = \\dfrac{-351}{546}$ <br\/> $\\dfrac{-29}{39} = \\dfrac{-29 . 14}{39 . 14} = \\dfrac{-406}{546}$ <br\/> V\u00ec $\\dfrac{-351}{546} > \\dfrac{-406}{546}$ n\u00ean $\\dfrac{-9}{14} > \\dfrac{-29}{39}$ <br\/> Hay $\\dfrac{-18}{28} > \\dfrac{58}{-78}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. > <\/span> ","column":3}]}],"id_ques":1528},{"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 t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x th\u1ecfa m\u00e3n $\\dfrac{-4}{21} < \\dfrac{x}{21} < \\dfrac{1}{21}$; $x \\in \\mathbb{Z}$","select":["A. $x \\in \\left\\{-4; -3; -2; -1\\right\\}$ ","B. $x \\in \\left\\{-3; -2; -1; 0; 1\\right\\}$ ","C. $x \\in \\left\\{-3; -2; -1; 0 \\right\\}$ ","D. $x \\in \\left\\{-4; 1; 0; -1\\right\\}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec ph\u00e2n s\u1ed1 $\\dfrac{a}{b} < \\dfrac{c}{b}$ khi v\u00e0 ch\u1ec9 khi a < c (v\u1edbi b > 0) <br\/>N\u00ean theo \u0111\u1ec1 v\u00e0i ta t\u00ecm \u0111\u01b0\u1ee3c c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x th\u1ecfa m\u00e3n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: $\\dfrac{-4}{21} < \\dfrac{x}{21} < \\dfrac{1}{21}$; $x \\in \\mathbb{Z}$ <br\/> $\\Rightarrow$ -4 < x < 1 v\u1edbi $x \\in \\mathbb{Z}$ <br\/> $\\Rightarrow$ x $\\in$ {-3; -2; -1; 0} <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":1529},{"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 t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x th\u1ecfa m\u00e3n $\\dfrac{-3}{7} \\leq \\dfrac{x}{7} < \\dfrac{1}{7}$; $x \\in \\mathbb{Z}$","select":["A. $x \\in \\left\\{-3; -2; -1; 0\\right\\}$ ","B. $x \\in \\left\\{-3; -2; -1; 0; 1\\right\\}$ ","C. $x \\in \\left\\{-2; -1; 0; 1 \\right\\}$ ","D. $x \\in \\left\\{-4; -3; -2; -1; 0 \\right\\}$ "],"hint":"Ph\u00e2n s\u1ed1 $\\dfrac{a}{b} < \\dfrac{c}{b}, b > 0$ khi v\u00e0 ch\u1ec9 khi a < c","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: $\\dfrac{-3}{7} \\leq \\dfrac{x}{7} < \\dfrac{1}{7}$; $x \\in \\mathbb{Z}$ <br\/> $\\Rightarrow$ $-3 \\leq x < 1$ v\u1edbi $x \\in \\mathbb{Z}$ <br\/> $\\Rightarrow$ x $\\in$ {-3; -2; -1; 0} <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":1530},{"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 r\u1ed3i quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{51}{136}; \\dfrac{60}{108}; \\dfrac{26}{156}$ ta \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n s\u1ed1:","select":["A. $\\dfrac{9}{72}; \\dfrac{40}{72}; \\dfrac{12}{72} $ ","B. $\\dfrac{27}{72}; \\dfrac{40}{72}; \\dfrac{12}{72} $ ","C. $\\dfrac{27}{72}; \\dfrac{10}{72}; \\dfrac{12}{72} $","D. $\\dfrac{20}{72}; \\dfrac{10}{72}; \\dfrac{12}{72} $ "],"hint":"\u00c1p d\u1ee5ng quy t\u1eafc quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 v\u1ec1 ph\u00e2n s\u1ed1 t\u1ed1i gi\u1ea3n <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm m\u1eabu s\u1ed1 chung (MSC) <br\/> MSC = BCNN c\u1ee7a c\u00e1c m\u1eabu s\u1ed1 ri\u00eang <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm th\u1eeba s\u1ed1 ph\u1ee5 (TSP) c\u1ee7a c\u00e1c ph\u00e2n s\u1ed1 b\u1eb1ng c\u00e1ch l\u1ea5y MSC chia cho m\u1eabu s\u1ed1 ri\u00eang t\u01b0\u01a1ng \u1ee9ng <br\/> <b> B\u01b0\u1edbc 4: <\/b> Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean ta \u0111\u01b0\u1ee3c: <br\/> $\\dfrac{51}{136} = \\dfrac{51 : 17}{136 : 17} = \\dfrac{3}{8}$ <br\/> $\\dfrac{60}{108} = \\dfrac{60 : 12}{108 : 12} = \\dfrac{5}{9}$ <br\/> $\\dfrac{26}{156} = \\dfrac{26 : 26}{156 : 26} = \\dfrac{1}{6}$ <br\/> M\u1eabu s\u1ed1 chung = BCNN(8, 9, 6) = 72 <br\/> Th\u1eeba s\u1ed1 ph\u1ee5: 72 : 8 = 9; 72 : 9 = 8; 72 : 6 = 12 <br\/> Quy \u0111\u1ed3ng: <br\/> $\\dfrac{3}{8} = \\dfrac{3 . 9}{8 . 9} = \\dfrac{27}{72}$ <br\/> $\\dfrac{5}{9} = \\dfrac{5 . 8}{9 . 8} = \\dfrac{40}{72}$ <br\/> $\\dfrac{1}{6} = \\dfrac{1 . 12}{6 . 12} = \\dfrac{12}{72}$ <br\/> V\u1eady c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{51}{136}; \\dfrac{60}{108}; \\dfrac{26}{156}$ sau khi r\u00fat g\u1ecdn v\u00e0 quy \u0111\u1ed3ng ta \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n s\u1ed1 l\u00e0: $\\dfrac{27}{72}; \\dfrac{40}{72}; \\dfrac{12}{72} $ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1531},{"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 r\u1ed3i quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{165}{270}; \\dfrac{91}{156}; \\dfrac{210}{1134}$ ta \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n s\u1ed1:","select":["A. $\\dfrac{66}{108}; \\dfrac{63}{108}; \\dfrac{20}{108} $ ","B. $\\dfrac{11}{108}; \\dfrac{7}{108}; \\dfrac{5}{108} $ ","C. $\\dfrac{11}{108}; \\dfrac{63}{108}; \\dfrac{20}{108} $","D. $\\dfrac{66}{108}; \\dfrac{60}{108}; \\dfrac{20}{108} $ "],"hint":"\u00c1p d\u1ee5ng quy t\u1eafc quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 v\u1ec1 ph\u00e2n s\u1ed1 t\u1ed1i gi\u1ea3n <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm m\u1eabu s\u1ed1 chung (MSC) <br\/> MSC = BCNN c\u1ee7a c\u00e1c m\u1eabu s\u1ed1 ri\u00eang <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm th\u1eeba s\u1ed1 ph\u1ee5 (TSP) c\u1ee7a c\u00e1c ph\u00e2n s\u1ed1 b\u1eb1ng c\u00e1ch l\u1ea5y MSC chia cho m\u1eabu s\u1ed1 ri\u00eang t\u01b0\u01a1ng \u1ee9ng <br\/> <b> B\u01b0\u1edbc 4: <\/b> Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean ta \u0111\u01b0\u1ee3c: <br\/> $\\dfrac{165}{270} = \\dfrac{165 : 15}{270 : 15} = \\dfrac{11}{18}$ <br\/> $\\dfrac{91}{156} = \\dfrac{91 : 13}{156 : 13} = \\dfrac{7}{12}$ <br\/> $\\dfrac{210}{1134} = \\dfrac{210 : 42}{1134 : 42} = \\dfrac{5}{27}$ <br\/> M\u1eabu s\u1ed1 chung = BCNN(18, 12, 27) = 108 <br\/> Th\u1eeba s\u1ed1 ph\u1ee5: 108 : 18 = 6; 108 : 12 = 9; 108 : 27 = 4 <br\/> Quy \u0111\u1ed3ng: <br\/> $\\dfrac{11}{18} = \\dfrac{11 . 6}{18 . 6} = \\dfrac{66}{108}$ <br\/> $\\dfrac{7}{12} = \\dfrac{7 . 9}{12 . 9} = \\dfrac{63}{108}$ <br\/> $\\dfrac{5}{27} = \\dfrac{5 . 4}{27 . 4} = \\dfrac{20}{108}$ <br\/> V\u1eady c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{165}{270}; \\dfrac{91}{156}; \\dfrac{210}{1134}$ sau khi r\u00fat g\u1ecdn v\u00e0 quy \u0111\u1ed3ng ta \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n s\u1ed1 l\u00e0: $\\dfrac{66}{108}; \\dfrac{63}{108}; \\dfrac{20}{108} $ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":1532},{"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: $\\dfrac{2x - 9}{240} = \\dfrac{39}{80}$","select":["A. x = 59 ","B. x = -63 ","C. x = 63 ","D. x = -59 "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> C\u00f3 th\u1ec3 d\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m ph\u00e2n s\u1ed1 b\u1eb1ng nhau ho\u1eb7c t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a ph\u00e2n s\u1ed1 <br\/> X\u00e9t t\u00edch ch\u00e9o $(2x - 9) . 80 = 240 . 39$ \u0111\u1ec3 t\u00ecm x <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> D\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m ph\u00e2n s\u1ed1 b\u1eb1ng nhau ta c\u00f3: <br\/> V\u00ec $\\dfrac{2x - 9}{240} = \\dfrac{39}{80}$ <br\/> N\u00ean: <br\/> $\\begin{align*} (2x - 9) . 80 &= 240 . 39 \\\\ 160x - 720 &= 9360 \\\\ 160x &= 9360 + 720 \\\\ 160x &= 10080 \\\\ x &= 63 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. x = 63 <\/span> ","column":2}]}],"id_ques":1533},{"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: $\\dfrac{3x - 2}{35} = \\dfrac{44}{70}$","select":["A. x = -8 ","B. x = 8 ","C. x = 7 ","D. x = 6 "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> C\u00f3 th\u1ec3 d\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m ph\u00e2n s\u1ed1 b\u1eb1ng nhau ho\u1eb7c t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a ph\u00e2n s\u1ed1 <br\/> X\u00e9t t\u00edch ch\u00e9o $(3x - 2) . 70 = 35 . 44$ \u0111\u1ec3 t\u00ecm x <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> D\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m ph\u00e2n s\u1ed1 b\u1eb1ng nhau ta c\u00f3: <br\/> V\u00ec $\\dfrac{3x - 2}{35} = \\dfrac{44}{70}$ <br\/> N\u00ean: <br\/> $\\begin{align*} (3x - 2) . 70 &= 44 . 35 \\\\ 210x - 140 &= 1540 \\\\ 210x &= 1540 + 140 \\\\ 210x &= 1680 \\\\ x &= 8 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. x = 8 <\/span> ","column":2}]}],"id_ques":1534},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u (>; < ho\u1eb7c =) th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{5 + 8}{21}$ _input_ $\\dfrac{36 - 32}{18}$ ","hint":"R\u00fat g\u1ecdn r\u1ed3i so s\u00e1nh, s\u1eed d\u1ee5ng ph\u00e2n s\u1ed1 trung gian l\u00e0 $\\dfrac{1}{2}$","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b> R\u00fat g\u1ecdn c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> S\u1eed d\u1ee5ng ph\u00e2n s\u1ed1 trung gian l\u00e0 $\\dfrac{1}{2}$ \u0111\u1ec3 so s\u00e1nh <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $\\dfrac{5 + 8}{21} = \\dfrac{13}{21} > \\dfrac{13}{26} = \\dfrac{1}{2}$ (1) <br\/> $\\dfrac{36 - 32}{18} = \\dfrac{4}{18} < \\dfrac{4}{8} = \\dfrac{1}{2}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ $\\dfrac{13}{21} > \\dfrac{4}{18}$ n\u00ean $\\dfrac{5 + 8}{21} > \\dfrac{36 - 32}{18}$ <br\/> <span class='basic_pink'>V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: > <\/span> <br\/> <span class='basic_green'><i> Nh\u1eadn x\u00e9t: N\u1ebfu c\u1ea3 hai ph\u00e2n s\u1ed1 \u0111\u1ec1u g\u1ea7n b\u1eb1ng m\u1ed9t ph\u00e2n s\u1ed1 th\u00ec ta s\u1eed d\u1ee5ng ph\u00e2n s\u1ed1 trung gian \u0111\u1ec3 so s\u00e1nh <\/i> <\/span> "}]}],"id_ques":1535},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u (>; < ho\u1eb7c =) th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{31}{51}$ _input_ $\\dfrac{17}{39}$ ","hint":"S\u1eed d\u1ee5ng ph\u00e2n s\u1ed1 trung gian l\u00e0 $\\dfrac{1}{2}$","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec c\u1ea3 hai ph\u00e2n s\u1ed1 $\\dfrac{31}{51}$ v\u00e0 ph\u00e2n s\u1ed1 $\\dfrac{17}{39}$ \u0111\u1ec1u g\u1ea7n b\u1eb1ng ph\u00e2n s\u1ed1 $\\dfrac{1}{2}$ <br\/> $\\dfrac{31}{51} > \\dfrac{31}{62} = \\dfrac{1}{2}$ (1) <br\/> $\\dfrac{17}{39} < \\dfrac{17}{34} = \\dfrac{1}{2}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ $\\dfrac{31}{51} > \\dfrac{17}{39}$ <br\/> <span class='basic_pink'>V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: > <\/span> <br\/> <span class='basic_green'><i>Nh\u1eadn x\u00e9t: N\u1ebfu hai ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng t\u1eed s\u1ed1, ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 m\u1eabu s\u1ed1 nh\u1ecf h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1edbn h\u01a1n v\u00e0 ng\u01b0\u1ee3c l\u1ea1i <\/i> <\/span> "}]}],"id_ques":1536},{"time":24,"part":[{"title":"","title_trans":"","temp":"fill_the_blank","correct":[[["<"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u (>; < ho\u1eb7c =) th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{63}{150}$ _input_ $\\dfrac{57}{93}$ ","hint":"S\u1eed d\u1ee5ng ph\u00e2n s\u1ed1 trung gian l\u00e0 $\\dfrac{1}{2}$","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec c\u1ea3 hai ph\u00e2n s\u1ed1 $\\dfrac{63}{150}$ v\u00e0 ph\u00e2n s\u1ed1 $\\dfrac{57}{93}$ \u0111\u1ec1u g\u1ea7n b\u1eb1ng ph\u00e2n s\u1ed1 $\\dfrac{1}{2}$ <br\/> $\\dfrac{63}{150} < \\dfrac{63}{126} = \\dfrac{1}{2}$ (1) <br\/> $\\dfrac{57}{93} > \\dfrac{57}{114} = \\dfrac{1}{2}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ $\\dfrac{63}{150} < \\dfrac{57}{93}$ <br\/> <span class='basic_pink'>V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: < <\/span> "}]}],"id_ques":1537},{"time":24,"part":[{"title":"","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"H\u00e3y ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","select":["A. $\\dfrac{1}{2} < \\dfrac{1}{3} < \\dfrac{1}{4} < \\dfrac{1}{5} $ ","B. $\\dfrac{1}{2} > \\dfrac{1}{3} > \\dfrac{1}{4} > \\dfrac{1}{5} $ ","C. $\\dfrac{1}{4} > \\dfrac{1}{5} > \\dfrac{1}{3} > \\dfrac{1}{2} $","D. $\\dfrac{1}{2} < \\dfrac{1}{5} < \\dfrac{1}{4} < \\dfrac{1}{3} $ "],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec c\u00e1c ph\u00e2n s\u1ed1: $\\dfrac{1}{2}; \\dfrac{1}{3}; \\dfrac{1}{4}; \\dfrac{1}{5}$ c\u00f3 c\u00f9ng t\u1eed s\u1ed1 <br\/> N\u00ean ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 m\u1eabu s\u1ed1 nh\u1ecf h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1edbn h\u01a1n <br\/> $\\Rightarrow$ $\\dfrac{1}{2} > \\dfrac{1}{3} > \\dfrac{1}{4} > \\dfrac{1}{5}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> <br\/> <span class='basic_green'> Nh\u1eadn x\u00e9t: N\u1ebfu hai ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng t\u1eed s\u1ed1, ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 m\u1eabu s\u1ed1 nh\u1ecf h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1edbn h\u01a1n v\u00e0 ng\u01b0\u1ee3c l\u1ea1i <i\/> <\/span> ","column":2}]}],"id_ques":1538},{"time":24,"part":[{"title":"","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"H\u00e3y ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","select":["A. $\\dfrac{1}{6} > \\dfrac{2}{11} > \\dfrac{4}{7}$ ","B. $\\dfrac{4}{7} > \\dfrac{2}{11} > \\dfrac{1}{6}$ ","C. $\\dfrac{4}{7} > \\dfrac{1}{6} > \\dfrac{2}{11}$","D. $\\dfrac{1}{6} > \\dfrac{4}{7} > \\dfrac{2}{11}$ "],"hint":"Quy \u0111\u1ed3ng t\u1eed s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean r\u1ed3i so s\u00e1nh","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Quy \u0111\u1ed3ng t\u1eed s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean v\u1edbi t\u1eed s\u1ed1 chung l\u00e0 4 ta \u0111\u01b0\u1ee3c: <br\/> $\\dfrac{1}{6} = \\dfrac{1 . 4}{6 . 4} = \\dfrac{4}{24}$ <br\/> $\\dfrac{2}{11} = \\dfrac{2 . 2}{11 . 2} = \\dfrac{4}{22}$ <br\/> V\u00ec $\\dfrac{4}{24} < \\dfrac{4}{22} < \\dfrac{4}{7}$ <br\/> N\u00ean: $\\dfrac{1}{6} < \\dfrac{2}{11} < \\dfrac{4}{7}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1539},{"time":24,"part":[{"title":"","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"H\u00e3y ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","select":["A. $\\dfrac{5}{12} > \\dfrac{5}{13} > \\dfrac{5}{14}$ ","B. $\\dfrac{5}{12} = \\dfrac{5}{13} = \\dfrac{5}{14}$ ","C. $\\dfrac{5}{14} > \\dfrac{5}{13} > \\dfrac{5}{12}$","D. C\u1ea3 3 \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u sai "],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>V\u00ec c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{5}{12}; \\dfrac{5}{13}; \\dfrac{5}{14}$ c\u00f3 c\u00f9ng t\u1eed s\u1ed1 n\u00ean ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 m\u1eabu s\u1ed1 nh\u1ecf h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1edbn h\u01a1n <br\/> $\\Rightarrow$ $\\dfrac{5}{12} > \\dfrac{5}{13} > \\dfrac{5}{14}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":1540}],"lesson":{"save":0,"level":2}}