{"segment":[{"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/2.jpg' \/><\/center>S\u1ed1 \u0111\u1ed1i c\u1ee7a |-3| l\u00e0:","select":["A. 3","B. -3 ","C. 3 v\u00e0 -3","D. 3 ho\u1eb7c -3"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>+B\u01b0\u1edbc 1: T\u00ednh |-3|<br\/>B\u01b0\u1edbc 2: T\u00ecm s\u1ed1 \u0111\u1ed1i c\u1ee7a |-3|<br\/><b> L\u01b0u \u00fd:<\/b> <br\/>+ Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m a \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1 l\u00e0 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a s\u1ed1 nguy\u00ean a<br\/>+ Tr\u00ean tr\u1ee5c s\u1ed1 c\u00e1c \u0111i\u1ec3m c\u00e1ch \u0111\u1ec1u \u0111i\u1ec3m 0 v\u00e0 n\u1eb1m \u1edf hai ph\u00eda c\u1ee7a \u0111i\u1ec3m 0 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u00e1c s\u1ed1 \u0111\u1ed1i nhau <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: |-3| = 3<br\/>S\u1ed1 \u0111\u1ed1i c\u1ee7a 3 l\u00e0 -3<br\/>V\u1eady s\u1ed1 \u0111\u1ed1i c\u1ee7a |-3| l\u00e0 -3<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. -3<\/span><\/span> <br\/>","column":2}],"id_ques":1331},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/6.jpg' \/><\/center>K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh: -5 - 3 l\u00e0:","select":["A. 8","B. 2","C. -8","D. -2"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>$\\begin{align*}-5 - 3 &= -(5 + 3)\\\\&= -8\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. -8<\/span><\/span> <br\/><span class='basic_left'><span class='basic_green'>Nh\u1eadn x\u00e9t: <\/span><b>-a - b = -(a + b)<\/b><\/span>","column":2}],"id_ques":1332},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/5.jpg' \/><\/center>T\u00ecm x, bi\u1ebft:<br\/>7 - x = -5 - (-14)","select":["A. x = -2","B. x = 2","C. x = 16","D. x = -16"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ednh v\u1ebf ph\u1ea3i<br\/>B\u01b0\u1edbc 2: T\u00ecm x<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>$\\begin{align*}7 - x &= -5 - (-14)\\\\7 - x&= -5 + 14\\\\7 - x&= 9\\\\x&= 7 - 9\\\\x&= -(9 - 7)\\\\x&= -2\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. x = -2<\/span><\/span> <br\/>","column":2}],"id_ques":1333},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/3.jpg' \/><\/center>T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 nguy\u00ean x th\u1ecfa m\u00e3n: 8 $\\vdots$ (x + 6) l\u00e0:","select":["A. x $\\in$ {14; 10; -8; -7; -5; -4; -2; 2}","B. x $\\in$ {-14; -10; -8; -7; -5; -4; -2; 2}","C. x $\\in$ {-14; -10; -8; 7; 5; -4; -2; 2}","D. x $\\in$ {-14; 10; 8; -7; -5; -4; -2; 2}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ecm t\u1eadp h\u1ee3p c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x + 6<br\/>B\u01b0\u1edbc 2: T\u00ecm x<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> 8 $\\vdots$ (x + 6) $\\Rightarrow$ (x + 6) $\\in$ \u01af(8)<br\/>\u01af(8) = {-8; -4; -2; -1; 1; 2; 4; 8}<br\/>$\\Rightarrow$ (x + 6) $\\in$ {-8; -4; -2; -1; 1; 2; 4; 8}<br\/>Ta c\u00f3 b\u1ea3ng gi\u00e1 tr\u1ecb nh\u01b0 sau: <br\/><table><tr><th>x + 6<\/th><th>-8<\/th><th>-4<\/th><th>-2<\/th><th>-1<\/th><th>1<\/th><th>2<\/th><th>4<\/th><th>8<\/th><\/tr><tr><td>x<\/td><td>-14<\/td><td>-10<\/td><td>-8<\/td><td>-7<\/td><td>-5<\/td><td>-4<\/td><td>-2<\/td><td>2<\/td><\/tr><\/table><br\/>$\\Rightarrow$ x $\\in$ {-14; -10; -8; -7; -5; -4; -2; 2}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. x $\\in$ {-14; -10; -8; -7; -5; -4; -2; 2}<\/span> <\/span> <br\/><\/span>","column":2}],"id_ques":1334},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/2.jpg' \/><\/center>T\u00ecm n, bi\u1ebft: (2n + 8) $\\vdots$ (n - 2)","select":["A. n $\\in$ {-10; -4; -2; -1; 0; 1; 3; 4; 5; 6; 8; 14}","B. n $\\in$ {10; -4; -2; -1; 0; 1; 3; 4; 5; 6; 8; 14}","C. n $\\in$ {-10; -4; -2; -1; 1; 3; 4; 5; 6; 8; -14}","D. n $\\in$ {-10; -4; -2; -1; 0; 1; 3; 4; 5; 6; -8; -14}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch 2n + 8 v\u1ec1 d\u1ea1ng a.(n - 2) + b, (a, b $\\in $ Z, a $\\ne$ 0)<br\/>B\u01b0\u1edbc 2: T\u00ecm n<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: 2n + 8 = 2.(n - 2) + 12<br\/>M\u00e0 (2n + 8) $\\vdots$ (n - 2)<br\/>$\\Rightarrow$ 2.(n - 2) + 12 $\\vdots$ (n - 2)<br\/>L\u1ea1i c\u00f3: (n - 2) $\\vdots$ (n - 2) v\u1edbi m\u1ecdi n<br\/> $\\Rightarrow$ 12 $\\vdots$ (n - 2) hay (n - 2) $\\in$ \u01af(12)<br\/>\u01af(12) = {-12; -6; -4; -3; -2; -1; 1; 2; 3; 4; 6; 12}<br\/> $\\Rightarrow$ (n - 2) $\\in$ {-12; -6; -4; -3; -2; -1; 1; 2; 3; 4; 6; 12}<br\/>$\\Rightarrow$ n $\\in$ {-10; -4; -2; -1; 0; 1; 3; 4; 5; 6; 8; 14}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. n $\\in$ {-10; -4; -2; -1; 0; 1; 3; 4; 5; 6; 8; 14}<\/span><\/span> <br\/><\/span><span class='basic_left'><span class='basic_green'>Nh\u1eadn x\u00e9t: <\/span><b> N\u1ebfu a + b chia h\u1ebft cho c v\u00e0 a chia h\u1ebft cho c th\u00ec b chia h\u1ebft cho c <\/b><\/span>","column":2}],"id_ques":1335},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["67"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"-128 - (-415) - 38 + (-182) = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u1ecf d\u1ea5u ngo\u1eb7c r\u1ed3i th\u1ef1c hi\u1ec7n t\u00ednh<br\/><b>L\u01b0u \u00fd: <\/b><br\/>+ Khi b\u1ecf d\u1ea5u ngo\u1eb7c c\u00f3 d\u1ea5u (-) \u0111\u1eb1ng tr\u01b0\u1edbc, ta ph\u1ea3i \u0111\u1ed5i t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 h\u1ea1ng trong d\u1ea5u ngo\u1eb7c: d\u1ea5u ( + ) th\u00e0nh d\u1ea5u ( - ) v\u00e0 d\u1ea5u ( - ) th\u00e0nh d\u1ea5u ( + )<br\/>+ Khi b\u1ecf d\u1ea5u ngo\u1eb7c c\u00f3 d\u1ea5u ( + ) \u0111\u1eb1ng tr\u01b0\u1edbc th\u00ec d\u1ea5u c\u00e1c s\u1ed1 h\u1ea1ng trong ngo\u1eb7c v\u1eabn gi\u1eef nguy\u00ean<br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}-128 - (-415) - 38 + (-182) &= -128 + 415 - 38 - 182\\\\&= -(128 + 182) + (415 - 38)\\\\&= -310 + 377\\\\&= 377 - 310\\\\&= 67 \\end{align*}$<br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> 67<\/span><br\/>"}],"id_ques":1336},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/9.jpg' \/><\/center> -135 . 17 - 121 . 17 - 256 . (-17) = <span class='basic_hoi_black'>?<\/span>","select":["A. 2057","B. -2057","C. 0","D. 17"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>a . b - a . c - a . d = a . ( b - c - d)<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&-135 . 17 - 121 . 17 - 256 . (-17)\\\\&= -135 . 17 - 121 . 17 - (-256) . 17\\\\&= [-135 - 121 - (-256)] . 17\\\\&=(-135 - 121 + 256) . 17\\\\&= (256 - 135 - 121) . 17\\\\&= (121 - 121) . 17\\\\&= 0 . 17\\\\&= 0\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 0<\/span><\/span> <br\/>","column":2}],"id_ques":1337},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" T\u00ecm s\u1ed1 nguy\u00ean a, bi\u1ebft:<br\/>|a - 1| = 8","select":["A. a = -9","B. a = 7","C. a = 9 ho\u1eb7c a = -7","D. a = 9 ho\u1eb7c a = 7"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m a \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1 l\u00e0 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a s\u1ed1 nguy\u00ean a<br\/>N\u00ean:<b> |x| = a (a $\\in$ N) th\u00ec x = a ho\u1eb7c x = -a<\/b><\/span> <br\/><br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>|a - 1| = 8 n\u00ean a - 1 = 8 ho\u1eb7c a - 1 = -8<br\/>+) <br\/>$\\begin{align*}a - 1 &= 8\\\\a&= 8 + 1 \\\\a&= 9\\end{align*}$<br\/>+) <br\/>$\\begin{align*}a - 1 &= -8\\\\a&= -8 + 1 \\\\a&= - (8 - 1)\\\\a&= -7\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. a = 9 ho\u1eb7c a = -7<\/span><\/span> <br\/><\/span>","column":2}],"id_ques":1338},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-3000"]]],"list":[{"point":10,"width":80,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dekiemtrachuong2/lv3/img\/4.jpg' \/><\/center> (-30) . 84 + 30 . (-16) = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>a . b + a . c = a . (b + c)<br\/><b>L\u01b0u \u00fd:<\/b><br\/>+ Mu\u1ed1n nh\u00e2n hai s\u1ed1 nguy\u00ean \u00e2m, ta nh\u00e2n hai gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang<br\/>+ Mu\u1ed1n nh\u00e2n hai s\u1ed1 nguy\u00ean kh\u00e1c d\u1ea5u, ta nh\u00e2n hai gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang r\u1ed3i \u0111\u1eb7t d\u1ea5u (-) tr\u01b0\u1edbc k\u1ebft qu\u1ea3 nh\u1eadn \u0111\u01b0\u1ee3c<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&(-30) . 84 + 30 . (-16)\\\\&= 30 . (-84) + 30 . (-16)\\\\&= 30 . [(-84) + (-16)]\\\\&= 30 . (-100)\\\\&= -(30 . 100)\\\\&= -3000\\end{align*}$<br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> -3000<\/span><\/span> <br\/> "}],"id_ques":1339},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" T\u00ednh t\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x, bi\u1ebft: -7 < x < -3. T\u1ed5ng l\u00e0:","select":["A. -22","B. -25","C. -15","D. -30"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ecm c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x th\u1ecfa m\u00e3n -7 < x < -3<br\/>B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c<br\/><b>L\u01b0u \u00fd: <\/b> Mu\u1ed1n c\u1ed9ng hai s\u1ed1 nguy\u00ean \u00e2m, ta c\u1ed9ng hai gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang r\u1ed3i \u0111\u1eb7t d\u1ea5u ( - ) tr\u01b0\u1edbc k\u1ebft qu\u1ea3.<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>-7 < x < -3 n\u00ean x $\\in$ {-6; -5; -4 }<br\/>T\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0: <br\/>$\\begin{align*}& (-6) + (-5) + (-4)\\\\&= - (6 + 5 + 4)\\\\&= -15\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0:<span class='basic_pink'>C. -15<\/span><\/span> <br\/>","column":2}],"id_ques":1340}],"id_ques":0}],"lesson":{"save":1,"level":3,"time":44}}