{"segment":[{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/1.png' \/><\/center> <br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p P = {13; 15; 17;....; 85; 87} l\u00e0: ","select":["A. 74 ","B. 37 ","C. 38","D. 44"],"hint":"T\u00ednh s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb t\u1eeb 13 \u0111\u1ebfn 87","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Nh\u1eadn th\u1ea5y d\u00e3y s\u1ed1 13; 15; 17;...; 85; 87 l\u00e0 d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> N\u00ean s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p c\u0169ng ch\u00ednh l\u00e0 s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng = (s\u1ed1 h\u1ea1ng cu\u1ed1i - s\u1ed1 h\u1ea1ng \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> X\u00e9t d\u00e3y s\u1ed1 13; 15; 17; ...; 85; 87 <br\/> Ta th\u1ea5y d\u00e3y tr\u00ean l\u00e0 d\u00e3y s\u1ed1 c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y s\u1ed1 tr\u00ean l\u00e0: (87 - 13) : 2 + 1 = 38 s\u1ed1 h\u1ea1ng<br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p P = {13; 15; 17; ...; 85; 87} c\u0169ng ch\u00ednh l\u00e0 s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y s\u1ed1 tr\u00ean <br\/> N\u00ean t\u1eadp h\u1ee3p P c\u00f3 38 ph\u1ea7n t\u1eed <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 38<\/span> ","column":2}]}],"id_ques":821},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/1.png' \/><\/center> <br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n l\u1edbn h\u01a1n 13 v\u00e0 nh\u1ecf h\u01a1n 3000 l\u00e0: ","select":["A. 1493 ","B. 2987 ","C. 1492","D. M\u1ed9t s\u1ed1 kh\u00e1c"],"hint":"T\u00ednh s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb t\u1eeb 14 \u0111\u1ebfn 2998","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> G\u1ecdi A l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n l\u1edbn h\u01a1n 13 v\u00e0 nh\u1ecf h\u01a1n 3000 l\u00e0: <br\/> A = {14; 16; 18;...; 2996; 2998} <br\/> D\u00e3y tr\u00ean l\u00e0 d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> N\u00ean s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p c\u0169ng ch\u00ednh l\u00e0 s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng = (s\u1ed1 h\u1ea1ng cu\u1ed1i - s\u1ed1 h\u1ea1ng \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> G\u1ecdi A l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n l\u1edbn h\u01a1n 13 v\u00e0 nh\u1ecf h\u01a1n 3000 l\u00e0: <br\/> A = {14; 16; 18; ...; 2996; 2998} <br\/> X\u00e9t d\u00e3y s\u1ed1 14; 16; 18; ...; 2996; 2998 <br\/> Ta th\u1ea5y d\u00e3y tr\u00ean l\u00e0 d\u00e3y s\u1ed1 c\u00e1ch \u0111\u1ec1u 2 \u0111\u01a1n v\u1ecb <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y s\u1ed1 tr\u00ean l\u00e0: (2998 - 14) : 2 + 1 = 1493 s\u1ed1 h\u1ea1ng<br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p A c\u0169ng ch\u00ednh l\u00e0 s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y s\u1ed1 tr\u00ean <br\/> N\u00ean t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n l\u1edbn h\u01a1n 13 v\u00e0 nh\u1ecf h\u01a1n 3000 c\u00f3 1493 ph\u1ea7n t\u1eed <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. 1493<\/span> ","column":2}]}],"id_ques":822},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/2.jpg' \/><\/center> <br\/> Cho t\u1eadp h\u1ee3p Q = {12; 78; 86} c\u00e1ch vi\u1ebft n\u00e0o sau \u0111\u00e2y sai?","select":["A. {78} $\\in$ Q ","B. 10 $\\notin$ Q ","C. {78; 86} $\\subset$ Q ","D. 12 $\\in$ Q"],"hint":"Ta c\u00f3 c\u00e1c c\u00e1ch vi\u1ebft \u0111\u00fang l\u00e0 ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p ho\u1eb7c t\u1eadp h\u1ee3p n\u00e0y ch\u1ee9a trong t\u1eadp h\u1ee3p kia","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - Ta th\u1ea5y {78} l\u00e0 t\u1eadp h\u1ee3p kh\u00f4ng ph\u1ea3i 1 ph\u1ea7n t\u1eed <br\/> N\u00ean vi\u1ebft \"{78} $\\in$ Q \" l\u00e0 <b> SAI <\/b> <br\/> B - V\u00ec t\u1eadp h\u1ee3p Q kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed 10 <br\/> N\u00ean vi\u1ebft \" $10 \\notin$ Q \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> C - T\u1eadp h\u1ee3p {78; 86} c\u00f3 78 $\\in$ Q v\u00e0 86 $\\in$ Q <br\/> N\u00ean vi\u1ebft \"{78; 86} $\\subset$ Q \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> D - Trong t\u1eadp h\u1ee3p Q c\u00f3 ph\u1ea7n t\u1eed 12 <br\/> N\u00ean vi\u1ebft \" 12 $\\in$ Q \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n sai l\u00e0: A<\/span> ","column":2}]}],"id_ques":823},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/2.jpg' \/><\/center> <br\/> Cho t\u1eadp h\u1ee3p A = {1; 2; 3; a; m}. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y sai?","select":["A. 2 $\\in$ A ","B. {1; m}$\\subset$ A ","C. {3; m} $\\subset$ A ","D. b $\\in$ A"],"hint":"X\u00e9t t\u1eebng \u0111\u00e1p \u00e1n","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - V\u00ec trong t\u1eadp h\u1ee3p A c\u00f3 ph\u1ea7n t\u1eed 2 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh \"2 $\\in$ A \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> B - V\u00ec trong t\u1eadp h\u1ee3p A c\u00f3 ph\u1ea7n t\u1eed 1 v\u00e0 m n\u00ean 1 $\\in$ A v\u00e0 m $\\in$ A <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh\" {2; m}$ \\subset$ A \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> C - V\u00ec trong t\u1eadp h\u1ee3p A c\u00f3 ph\u1ea7n t\u1eed 3 v\u00e0 ph\u1ea7n t\u1eed m n\u00ean 3 $\\in$ A v\u00e0 m $\\in$ A <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh \"{3; m} $\\subset$ A \" l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> D - Trong t\u1eadp h\u1ee3p A kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed b <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh \" b $\\in$ A \" l\u00e0 <b> SAI <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n sai l\u00e0: D<\/span> ","column":2}]}],"id_ques":824},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/4.jpg' \/><\/center> <br\/> Cho t\u1eadp h\u1ee3p X = {1; 2}; Y = {3; 4; 5} <br\/> C\u00e1c t\u1eadp h\u1ee3p g\u1ed3m hai ph\u1ea7n t\u1eed trong \u0111\u00f3 1 ph\u1ea7n t\u1eed thu\u1ed9c X, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c Y l\u00e0:","select":["A. {1; 3}, {2; 3}, {1; 4}, {1; 5}, {2; 4}, {2; 5} ","B. {1; 3}, {1; 4}, {1; 5}, {1; 2} ","C. {1; 3}, {2; 3}, {1; 4}, {2, 4}, {3; 5} ","D. {1; 3}, {1; 4}, {1; 5}, {2; 3}, {3; 4}"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - C\u00e1c t\u1eadp h\u1ee3p {1; 3}, {2; 3}, {1; 4}, {1; 5}, {2; 4}, {2; 5} <br\/> M\u1ed7i t\u1eadp h\u1ee3p \u0111\u1ec1u c\u00f3 1 ph\u1ea7n t\u1eed thu\u1ed9c X v\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c Y <b> th\u1ecfa m\u00e3n<\/b> <br\/> B - T\u1eadp h\u1ee3p {1; 2} c\u00f3 1 $\\in$ X v\u00e0 2 $\\in$ X <b> (lo\u1ea1i) <\/b> <br\/> C - T\u1eadp h\u1ee3p {3; 5} c\u00f3 3 $\\in$ Y v\u00e0 5 $\\in$ Y <b> (lo\u1ea1i) <\/b> <br\/> D - T\u1eadp h\u1ee3p {3; 4} c\u00f3 3 $\\in$ Y v\u00e0 4 $\\in$ Y <b> (lo\u1ea1i) <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":825},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/4.jpg' \/><\/center> <br\/> Cho t\u1eadp h\u1ee3p X = {a; b}; Y = {4; 5; 6} <br\/> C\u00e1c t\u1eadp h\u1ee3p g\u1ed3m hai ph\u1ea7n t\u1eed trong \u0111\u00f3 1 ph\u1ea7n t\u1eed thu\u1ed9c X, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c Y l\u00e0:","select":["A. {a; 4}, {b; 5}, {a; 6}, {b; 6}, {5; 6} ","B. {a; 4}, {a; 5}, {a; 6}, {b; 4}, {a; b} ","C. {a; 4}, {a; 5}, {a; 6}, {b; 4}, {b; 5}, {b; 6} ","D. {4; 5}, {a; 4}, {b; 4}, {a; 6}, {b; 5}"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - T\u1eadp h\u1ee3p {5; 6} c\u00f3 5 $\\in$ Y v\u00e0 6 $\\in$ Y <b> (lo\u1ea1i) <\/b> <br\/> B - T\u1eadp h\u1ee3p {a; b} c\u00f3 a $\\in$ X v\u00e0 b $\\in$ X <b> (lo\u1ea1i) <\/b> <br\/> C - C\u00e1c t\u1eadp h\u1ee3p {a; 4}, {a; 5}, {a; 6}, {b; 4}, {b; 5}, {b; 6} <br\/> M\u1ed7i t\u1eadp h\u1ee3p \u0111\u1ec1u c\u00f3 1 ph\u1ea7n t\u1eed thu\u1ed9c X v\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c Y <b> (th\u1ecfa m\u00e3n) <\/b> <br\/> D - T\u1eadp h\u1ee3p {4; 5} c\u00f3 4 $\\in$ Y v\u00e0 5 $\\in$ Y <b> (lo\u1ea1i) <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":826},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/10.jpg' \/><\/center> <br\/> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh $5 . 4^2 - 18 : 3^2$ l\u00e0:","select":["A. 79 ","B. 80 ","C. 78 ","D. 81"],"hint":"T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c theo th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec bi\u1ec3u th\u1ee9c tr\u00ean kh\u00f4ng c\u00f3 d\u1ea5u ngo\u1eb7c n\u00ean ta th\u1ef1c hi\u1ec7n l\u1ea7n l\u01b0\u1ee3t theo th\u1ee9 t\u1ef1: <br\/> Ph\u00e9p n\u00e2ng l\u00ean l\u0169y th\u1eeba -> ph\u00e9p nh\u00e2n, chia -> ph\u00e9p c\u1ed9ng, tr\u1eeb<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*}& 5 . 4^2 - 18 : 3^2 \\\\ =& 5 . 16 - 18 : 9 \\\\ =& 80 - 2 \\\\ =& 78 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 78 <\/span> ","column":4}]}],"id_ques":827},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/10.jpg' \/><\/center> <br\/> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh $3^3 . 18 - 3^3 . 12$ l\u00e0:","select":["A. 54 ","B. 162 ","C. 270 ","D. 810"],"hint":"T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c theo th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Ta c\u00f3 th\u1ec3 nh\u00f3m $3^3$ ra ngo\u00e0i \u0111\u1eb7t l\u00e0m nh\u00e2n t\u1eed chung r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*}& 3^3 . 18 - 3^3 . 12 \\\\ =& 3^3 . (18 - 12) \\\\ =& 3^3 . 6 \\\\ =& 27 . 6 \\\\ =& 162 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. 162 <\/span> ","column":4}]}],"id_ques":828},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3"]]],"list":[{"point":5,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/6.jpg' \/><\/center> <br\/> T\u00ecm x bi\u1ebft: $40 : (x + 2) + 3^2 . 4 = 2^2 . 11$ V\u1eady x = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Coi 40 : (x - 2) l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x + 2 l\u00e0 s\u1ed1 chia ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 chia ch\u01b0a bi\u1ebft ta l\u1ea5y s\u1ed1 b\u1ecb chia chia cho th\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 3: <\/b> Coi x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/>$\\begin{align*}40 : (x + 2) + 3^2 . 4 &= 2^2 . 11 \\\\ 40 : (x + 2) + 9 . 4 &= 4 . 11 \\\\ 40 : (x + 2) + 36 &= 44 \\\\ 40 : (x + 2) &= 44 - 36 \\\\ 40 : (x + 2) &= 8 \\\\ x + 2 &= 40 : 8 \\\\ x + 2 &= 5 \\\\ x &= 5 - 2 \\\\ x &= 3\\end{align*}$<br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 3 <\/span> "}]}],"id_ques":829},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["13"]]],"list":[{"point":5,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/6.jpg' \/><\/center> <br\/> T\u00ecm x bi\u1ebft: $3 . (x + 5) + 2(x + 10) = 100$ V\u1eady x = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Nh\u00e2n ph\u00e1 ngo\u1eb7c r\u1ed3i c\u1ed9ng c\u00e1c s\u1ed1 h\u1ea1ng ch\u1ee9a x <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/>$\\begin{align*}3 . (x + 5) + 2(x + 10) &= 100 \\\\ 3x + 15 + 2x + 20 &= 100 \\\\ 5x + 35 &= 100 \\\\ 5x &= 100 - 35 \\\\ 5x &= 65 \\\\ x &= 65 : 5 \\\\ x &= 13 \\end{align*}$<br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 13 <\/span> "}]}],"id_ques":830},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/12.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn s\u1ed1 nguy\u00ean t\u1ed1 trong c\u00e1c s\u1ed1 sau:","select":["A. 73","B. 124 ","C. 133 ","D. 45"],"hint":"D\u1ef1a v\u00e0o b\u1ea3ng s\u1ed1 nguy\u00ean t\u1ed1","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> D\u1ef1a v\u00e0o b\u1ea3ng s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf h\u01a1n 1000 ta c\u00f3: <br\/> S\u1ed1 73 l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1 <br\/> S\u1ed1 124 kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> S\u1ed1 133 kh\u00f4ng ph\u1ea3i s\u1ed1 ngu\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> S\u1ed1 45 kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. 73 <\/span> ","column":4}]}],"id_ques":831},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/12.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn s\u1ed1 nguy\u00ean t\u1ed1 trong c\u00e1c s\u1ed1 sau:","select":["A. 273","B. 503","C. 381 ","D. 497"],"hint":"D\u1ef1a v\u00e0o b\u1ea3ng s\u1ed1 nguy\u00ean t\u1ed1","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> D\u1ef1a v\u00e0o b\u1ea3ng s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf h\u01a1n 1000 ta c\u00f3: <br\/> S\u1ed1 273 kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> S\u1ed1 503 l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1 <br\/> S\u1ed1 381 kh\u00f4ng ph\u1ea3i s\u1ed1 ngu\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> S\u1ed1 497 kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean t\u1ed1 (h\u1ee3p s\u1ed1) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. 503 <\/span> ","column":4}]}],"id_ques":832},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["1"],["2"],["3"],["6"]]],"list":[{"point":5,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/7.jpg' \/><\/center> <br\/> \u01afC(42; 72) = {_input_; _input_; _input_;_input_}","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Ta c\u00f3 th\u1ec3 \u0111i t\u00ecm \u01afCLN(42, 72), c\u00e1c \u01b0\u1edbc c\u1ee7a \u01afCLN ch\u00ednh l\u00e0 t\u1eadp h\u1ee3p c\u00e1c \u01b0\u1edbc chung c\u1ea7n t\u00ecm <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: $42 = 2 . 3 . 7$ ; $72 = 2^3 . 3^2$ <br\/> $\\Rightarrow$ \u01afCLN(42, 72) = $2 . 3 = 6$ <br\/> $\\Rightarrow$ \u01afC(42, 72) = \u01af(6) = {1; 2; 3; 6) <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1; 2; 3; 6<\/span> "}]}],"id_ques":833},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["20790"]]],"list":[{"point":5,"width":80,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/7.jpg' \/><\/center> <br\/> BCNN(35; 27; 110) = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Ph\u00e2n t\u00edch 35; 27 v\u00e0 110 ra h\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ch\u1ecdn ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung v\u00e0 ri\u00eang c\u1ee7a 35; 27 v\u00e0 110 <br\/> <b> B\u01b0\u1edbc 3: <\/b> L\u1eadp t\u00edch c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u00e3 ch\u1ecdn m\u1ed7i th\u1eeba s\u1ed1 l\u1ea5y v\u1edbi s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a n\u00f3 <br\/> \u0110\u00f3 ch\u00ednh l\u00e0 BCNN(35; 27; 110) <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: $35 = 5 . 7$ ; $27 = 3^3$ ; $110 = 2 . 5 . 11$ <br\/> $\\Rightarrow$ BCNN(35; 27; 110) = $2 . 3^3 . 5 . 7 . 11 = 20790$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 20790<\/span> "}]}],"id_ques":834},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["2"]]],"list":[{"point":5,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/11.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean a bi\u1ebft $\\overline{5a312}$ chia 9 d\u01b0 4. <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 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a s\u1ed1 $\\overline{5a312}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> \u0110\u1ec3 $\\overline{5a312}$ chia 9 d\u01b0 4 th\u00ec t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u0169ng chia 9 d\u01b0 4 <br\/> T\u1eeb \u0111\u00f3 ta t\u00ecm \u0111\u01b0\u1ee3c a <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> T\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a $\\overline{5a312}$ l\u00e0: <br\/> 5 + a + 3 + 1 + 2 = 11 + a <br\/> \u0110\u1ec3 $\\overline{5a312}$ chia 9 d\u01b0 4 th\u00ec 11 + a ph\u1ea3i l\u00e0 s\u1ed1 chia 9 d\u01b0 4 <br\/> Th\u1eed l\u1ea7n l\u01b0\u1ee3t c\u00e1c gi\u00e1 tr\u1ecb a = 0, 1, 2, 3,..., 9 <br\/> Ta th\u1ea5y v\u1edbi a = 2 th\u00ec t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 11 + 2 = 13 chia 9 d\u01b0 4 ngo\u00e0i ra kh\u00f4ng c\u00f2n gi\u00e1 tr\u1ecb n\u00e0o c\u1ee7a a th\u00edch h\u1ee3p <br\/> V\u1eady v\u1edbi a = 2 th\u00ec $\\overline{5a312}$ chia 9 d\u01b0 4 <br\/> <span class='basic_pink'> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2<\/span> "}]}],"id_ques":835},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["1"],["0"]]],"list":[{"point":5,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/11.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean nh\u1ecf nh\u1ea5t c\u00f3 d\u1ea1ng $\\overline{6a14b}$ th\u1ecfa m\u00e3n s\u1ed1 \u0111\u00f3 chia h\u1ebft cho c\u1ea3 2; 3 v\u00e0 5. <br\/> V\u1eady a = _input_; b = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u1ec3 $\\overline{6a14b}$ chia h\u1ebft cho 2 v\u00e0 5 th\u00ec b = ? <br\/> <b> B\u01b0\u1edbc 2: <\/b> Thay b v\u00e0o $\\overline{6a14b}$ r\u1ed3i t\u00ednh t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 <br\/> \u0110\u1ec3 $\\overline{6a14b}$ chia h\u1ebft cho 3 th\u00ec t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 ph\u1ea3i chia h\u1ebft cho 3 <br\/> Th\u1eed l\u1ea7n l\u01b0\u1ee3t c\u00e1c gi\u00e1 tr\u1ecb a = 0, 1, 2,..., 9 v\u00e0o xem gi\u00e1 tr\u1ecb n\u00e0o th\u00edch h\u1ee3p<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: \u0110\u1ec3 $\\overline{6a14b}$ chia h\u1ebft cho 2 v\u00e0 5 th\u00ec b = 0 <br\/> Thay b = 0 v\u00e0o ta \u0111\u01b0\u1ee3c $\\overline{6a140}$ <br\/> T\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 6 + a + 1 + 4 + 0 = a + 11 <br\/> Th\u1eed l\u1ea7n l\u01b0\u1ee3t c\u00e1c gi\u00e1 tr\u1ecb a = 0, 1, 2, 3,..., 9 <br\/> Ta th\u1ea5y v\u1edbi a = 1 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a 61140 l\u00e0: 11 + 1 = 12 <br\/> 12 $\\vdots$ 3 n\u00ean 61140 chia h\u1ebft cho 3 <br\/> V\u1eady v\u1edbi a = 1, b = 0 th\u00ec $\\overline{6a14b}$ l\u00e0 s\u1ed1 nh\u1ecf nh\u1ea5t chia h\u1ebft cho 2; 3 v\u00e0 5 <br\/> <span class='basic_pink'> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1; 0<\/span> "}]}],"id_ques":836},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"select":["A. $15^6$","B. $15^4$","C. $15^5$"],"ques":"Vi\u1ebft t\u00edch sau d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 15 <br\/> 15 . 15 . 15 . 3 . 15 . 5 . 3 . 5 = ?","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Vi\u1ebft g\u1ecdn t\u00edch theo kh\u00e1i ni\u1ec7m l\u0169y th\u1eeba v\u1edbi s\u1ed1 m\u0169 t\u1ef1 nhi\u00ean: <br\/> $\\underbrace{a . a ...a}_{n \\text{l\u1ea7n}} = a^n$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*}&15; . 15 . 15 . 3 . 15 . 5 . 3 . 5 \\\\ &= 15 . 15 . 15 . 15 . (3 . 5) . (3 . 5) \\\\ &=15^4 . 15 . 15 \\\\ &=15^4 . 15^2 \\\\ &= 15^{4 + 2} \\\\ &= 15^6 \\end{align*}$ "}]}],"id_ques":837},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"select":["A. $2^{23}$","B. $2^{24}$","C. $2^{25}$"],"ques":" Vi\u1ebft t\u00edch sau d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 2 <br\/> $(2^3)^5 . (2^5)^2$ = ?","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ednh t\u00edch c\u00e1c l\u0169y th\u1eeba tr\u00ean theo c\u00f4ng th\u1ee9c: <br\/> $(a^n)^m = a^{m . n}$ <br\/> $a^m . a^n = a^{m + n}$ <br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $(2^3)^5$ v\u00e0 $(2^5)^2$ tr\u01b0\u1edbc <br\/> <b> b\u01b0\u1edbc 2: <\/b> T\u00ednh t\u00edch c\u00e1c l\u0169y th\u1eeba \u1edf b\u01b0\u1edbc 1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*}&(2^3)^5 . (2^5)^2 \\\\ &= 2^{3 . 5} . 2^{5 . 2} \\\\ &= 2^{15} . 2^{10} \\\\ &= 2^{15 + 10} \\\\ &= 2^{25} \\end{align*}$"}]}],"id_ques":838},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["100"],["120"],["150"],["200"],["300"],["600"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/11.jpg' \/><\/center><br\/> C\u00e1c \u01b0\u1edbc c\u00f3 3 ch\u1eef s\u1ed1 c\u1ee7a $600$ l\u00e0: _input_; _input_; _input_; _input_; _input_; _input_ ","hint":"L\u1ea5y $600$ chia l\u1ea7n l\u01b0\u1ee3t cho c\u00e1c s\u1ed1 $1, 2, 3,$ ... \u0111\u1ec3 t\u00ecm c\u00e1c \u01b0\u1edbc c\u00f3 3 ch\u1eef s\u1ed1 c\u1ee7a $600$","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $600 : 1 = 600$ (th\u1ecfa m\u00e3n) <br\/> $600 : 2 = 300$ (th\u1ecfa m\u00e3n) <br\/> $600 : 3 = 200$ (th\u1ecfa m\u00e3n) <br\/> $600 : 4 = 150$ (th\u1ecfa m\u00e3n)<br\/> $600 : 5 = 120$ (th\u1ecfa m\u00e3n)<br\/> $600 : 6 = 100$ (th\u1ecfa m\u00e3n) <br\/> $600 : 8 = 75$ (lo\u1ea1i) <br\/> ...... <br\/> $\\Rightarrow\\, 600$ c\u00f3 c\u00e1c \u01b0\u1edbc c\u00f3 3 ch\u1eef s\u1ed1 l\u00e0: $100;120;150; 200; 300; 600 $<br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: $100;120;150; 200; 300; 600 .$<\/span> "}]}],"id_ques":839},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["421"],["842"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai17/lv2/img\/11.jpg' \/><\/center><br\/> C\u00e1c b\u1ed9i c\u00f3 3 ch\u1eef s\u1ed1 c\u1ee7a 421 l\u00e0: _input_; _input_","hint":"L\u1ea5y 421 nh\u00e2n l\u1ea7n l\u01b0\u1ee3t v\u1edbi c\u00e1c s\u1ed1 1, 2, 3, ... \u0111\u1ec3 t\u00ecm c\u00e1c b\u1ed9i c\u00f3 3 ch\u1eef s\u1ed1 c\u1ee7a 421","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> 421 . 1 = 421 <br\/> 421 . 2 = 842 <br\/> 421 . 3 = 1263 (lo\u1ea1i) <br\/> V\u1eady 421 c\u00f3 2 b\u1ed9i c\u00f3 3 ch\u1eef s\u1ed1 l\u00e0: 421; 842 <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 421; 842 <\/span> "}]}],"id_ques":840}],"lesson":{"save":0,"level":2}}