{"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":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai27/lv3/img\/2.jpg' \/><\/center>T\u00ecm n, bi\u1ebft: (n + 4) $\\vdots$ (n + 1)","select":["A. n $\\in$ {4; -2; 0; 2}","B. n $\\in$ {-4; -2; 0; 2}","C. n $\\in$ { -4; -2; 1; 2}","D. n $\\in$ {-4; -2; 0; 4}"],"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 n + 4 v\u1ec1 d\u1ea1ng a.(n + 1) + 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: n + 4 = (n + 1) + 3<br\/>M\u00e0 (n + 4) $\\vdots$ (n + 1)<br\/>$\\Rightarrow$ (n + 1) + 3 $\\vdots$ (n + 1)<br\/>L\u1ea1i c\u00f3: (n + 1) $\\vdots$ (n + 1) v\u1edbi m\u1ecdi n<br\/> $\\Rightarrow$ 3 $\\vdots$ (n + 1) hay (n + 1) $\\in$ \u01af(3)<br\/>\u01af(3) = {-3; -1; 1; 3}<br\/> $\\Rightarrow$ (n + 1) $\\in$ {-3; -1; 1; 3}<br\/>$\\Rightarrow$ n $\\in$ {-4; -2; 0; 2}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. n $\\in$ {-4; -2; 0; 2}<\/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":1321},{"time":24,"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/bai27/lv3/img\/5.jpg' \/><\/center>T\u00ecm n, bi\u1ebft: (2n + 9) $\\vdots$ (n + 2)","select":["A. n $\\in$ {-7; -3; 1; 3}","B. n $\\in$ {-7; -3; -1; 3}","C. n $\\in$ {-7; 1; -1; 3}","D. n $\\in$ {-7; -3; -1; 7}"],"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 + 9 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 + 9 = 2.(n + 2) + 5<br\/>M\u00e0 (2n + 9) $\\vdots$ (n + 2)<br\/>$\\Rightarrow$ 2(n + 2) + 5 $\\vdots$ (n + 2)<br\/>L\u1ea1i c\u00f3: 2.(n + 2) $\\vdots$ (n + 2) v\u1edbi m\u1ecdi n<br\/> $\\Rightarrow$ 5 $\\vdots$ (n + 2) hay (n + 2) $\\in$ \u01af(5)<br\/>\u01af(5) = {-5; -1; 1; 5}<br\/> $\\Rightarrow$ (n + 2) $\\in$ {-5; -1; 1; 5}<br\/>$\\Rightarrow$ n $\\in$ {-7; -3; -1; 3}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. n $\\in$ {-7; -3; -1; 3}<\/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":1322},{"time":24,"part":[{"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/bai27/lv3/img\/4.jpg' \/><\/center>T\u00ecm b $\\in$ Z sao cho -10 l\u00e0 b\u1ed9i c\u1ee7a b + 6","select":["A. b $\\in$ {-4; -11; -6; -7; -5; -4; -1; 4}","B. b $\\in$ {-4; 1; 4; 5; 7; 8; 11; 16}","C. b $\\in$ {-16; -11; -8; -7; -5; -4; -1; 4}","D. b $\\in$ {-16; -11; -8; -7; 7; 8; 11; 16}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>-10 l\u00e0 b\u1ed9i c\u1ee7a b + 6<br\/>$\\Rightarrow$ -10 $\\vdots$ (b + 6)<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: -10 l\u00e0 b\u1ed9i c\u1ee7a b + 6<br\/>$\\Rightarrow$ -10 $\\vdots$ (b + 6) hay (b + 6) $\\in$ \u01af(-10)<br\/>\u01af(-10) = {-10; -5; -2; -1; 1; 2; 5; 10}<br\/> $\\Rightarrow$ (b + 6) $\\in$ {-10; -5; -2; -1; 1; 2; 5; 10}<br\/>$\\Rightarrow$ b $\\in$ {-16; -11; -8; -7; -5; -4; -1; 4}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. b $\\in$ {-16; -11; -8; -7; -5; -4; -1; 4}<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1323},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai27/lv3/img\/6.jpg' \/><\/center>T\u00ecm b $\\in$ Z sao cho 3 l\u00e0 b\u1ed9i c\u1ee7a b - 5","select":["A. b $\\in$ {2; 4; 5; 6; 8}","B. b $\\in$ {2; -8; 6; 8}","C. b $\\in$ {-8; 4; 6; 8}","D. b $\\in$ {2; 4; 6; 8}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>3 l\u00e0 b\u1ed9i c\u1ee7a b - 5<br\/>$\\Rightarrow$ 3 $\\vdots$ (b - 5)<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: 3 l\u00e0 b\u1ed9i c\u1ee7a b - 5<br\/>$\\Rightarrow$ 3 $\\vdots$ (b - 5) hay (b - 5) $\\in$ \u01af(3)<br\/>\u01af(3) = {-3; -1; 1; 3}<br\/> $\\Rightarrow$ (b - 5) $\\in$ {-3; -1; 1; 3}<br\/>$\\Rightarrow$ b $\\in$ {2; 4; 6; 8}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> D. b $\\in$ {2; 4; 6; 8}<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1324},{"time":24,"part":[{"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/bai27/lv3/img\/7.jpg' \/><\/center>T\u00ecm x, y $\\in$ Z bi\u1ebft:<br\/> (x - 1).(y + 1) = 5","select":["A. (x, y) $\\in$ {(0, 6); (-4, -2); (2, 4); (6, 0)}","B. (x, y) $\\in$ {(0, -6); (4, 2); (2, 4); (6, 0)}","C. (x, y) $\\in$ {(0, -6); (-4, -2); (2, 4); (6, 0)}","D. (x, y) $\\in$ {(0, -6); (-4, -2); (2, 4); (-6, 0)}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: 5 = (-1).(-5) = 1.5<br\/>M\u00e0 (x - 1).(y + 1) = 5<br\/>N\u00ean ta c\u00f3 b\u1ea3ng gi\u00e1 tr\u1ecb nh\u01b0 sau:<br\/><table><tr><th>x - 1<\/th><th>-1<\/th><th>-5<\/th><th>1<\/th><th>5<\/th><\/tr><tr><td>y + 1<\/td><td>-5<\/td><td>-1<\/td><td>5<\/td><td>1<\/td><\/tr><tr><td>x<\/td><td>0<\/td><td>-4<\/td><td>2<\/td><td>6<\/td><\/tr><tr><td>y<\/td><td>-6<\/td><td>-2<\/td><td>4<\/td><td>0<\/td><\/tr><\/table><br\/>V\u1eady (x, y) $\\in$ {(0, -6); (-4, -2); (2, 4); (6, 0)}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. (x, y) $\\in$ {(0, -6); (-4, -2); (2, 4); (6, 0)}<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1325},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" T\u00ecm x, bi\u1ebft:<br\/> -5.(x - 1) = 25","select":["A. x = 6","B. x = -4 ","C. x = 4","D. x = -6"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Trong \u0111\u1eb3ng th\u1ee9c d\u1ea1ng a.x = b (a,b $\\in$ Z, a $\\ne$ 0) ta t\u00ecm x nh\u01b0 sau:<br\/>+ T\u00ecm gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a x: <b> |x| = $\\dfrac{|b|}{|a|}$<\/b><br\/>+ X\u00e1c \u0111\u1ecbnh d\u1ea5u c\u1ee7a x theo quy t\u1eafc \u0111\u1eb7t d\u1ea5u c\u1ee7a ph\u00e9p nh\u00e2n s\u1ed1 nguy\u00ean.<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: |x - 1| = $\\dfrac{25}{5}$ = 5<br\/>V\u00ec t\u00edch 25 l\u00e0 s\u1ed1 d\u01b0\u01a1ng n\u00ean x - 1 c\u00f9ng d\u1ea5u v\u1edbi -5<br\/>V\u1eady x - 1 = -5 <br\/>$\\Rightarrow$ x = -4 <br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. x = -4<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1326},{"time":24,"part":[{"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/bai27/lv3/img\/8.jpg' \/><\/center>T\u00ecm x, bi\u1ebft: x $\\vdots$ 5 v\u00e0 10 $\\vdots$ x","select":["A. x $\\in$ {-10; -5; 0; 5; 10}","B. x $\\in$ {...;-10; -5; 5; 10}","C. x $\\in$ {-10; -5; 5; 10}","D. x $\\in$ {-10; -5; 5; 10; ...}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/> + x $\\vdots$ 5 $\\Rightarrow$ x $\\in$ B(5)<br\/>B(5) = {...; -15; -10; -5; 0; 5; 10; 15; ...}<br\/>+ 10 $\\vdots$ x $\\Rightarrow$ x $\\in$ \u01af(10)<br\/>\u01af(10) = {-10; -5; -2; -1; 1; 2; 5; 10}<br\/> B(5) $\\cap$ \u01af(10) = {-10; -5; 5; 10}<br\/>$\\Rightarrow$ x $\\in$ {-10; -5; 5; 10}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. x $\\in$ {-10; -5; 5; 10}<\/span> <\/span> <br\/><\/span>","column":2}]}],"id_ques":1327},{"time":24,"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/bai27/lv3/img\/9.jpg' \/><\/center>T\u00ecm x, bi\u1ebft: x $\\vdots$ 6 v\u00e0 6 $\\vdots$ x","select":["A. x $\\in$ {-6; 6; ...}","B. x $\\in$ {-6; 6}","C. x $\\in$ {...;-6; 6}","D. x $\\in$ {-6; 0; 6}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/> + x $\\vdots$ 6 $\\Rightarrow$ x $\\in$ B(6)<br\/>B(6) = {...; -18; -12; -6; 0; 6; 12; 18; ...}<br\/>+ 6 $\\vdots$ x $\\Rightarrow$ x $\\in$ \u01af(6)<br\/>\u01af(6) = {-6; -3; -2; -1; 1; 2; 3; 6}<br\/> B(6) $\\cap$ \u01af(6) = {-6; 6}<br\/>$\\Rightarrow$ x $\\in$ {-6; 6}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. x $\\in$ {-6; 6}<\/span> <\/span> <br\/><\/span>","column":2}]}],"id_ques":1328},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c: <br\/>A = (124 . 42 + 96) . 17 : 12 : 34","select":["A = 221","A = -221","A = 713","A = -713"],"hint":" ","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}A&= (124 . 42 + 96) . 17 : 12 : 34\\\\&= (5208 + 96) . 17 : 12 : 34\\\\&= 5304 . 17 : 12 : 34\\\\&= 90168 : 12 : 34\\\\&= 7514 : 34\\\\&= 221\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A = 221<\/span><\/span> <br\/>","column":2}]}],"id_ques":1329},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" T\u1ed5ng c\u1ee7a n\u0103m s\u1ed1 nguy\u00ean li\u00ean ti\u1ebfp th\u00ec chia h\u1ebft cho 5. \u0110\u00fang hay sai?","select":["A. \u0110\u00fang","B. Sai"],"hint":" ","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> N\u0103m s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp c\u00f3 d\u1ea1ng: a; a + 1; a + 2; a + 3; a + 4, (a $\\in N$<br\/>T\u1ed5ng c\u1ee7a n\u0103m s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp l\u00e0:<br\/>a + a + 1 + a + 2 + a + 3 + a + 4 = 5.a + 10 = 5. (a + 2)<br\/>L\u1ea1i c\u00f3: 5. (a + 2) $\\vdots$ 5 v\u1edbi m\u1ecdi a $\\in$ Z<br\/>$\\Rightarrow$ T\u1ed5ng c\u1ee7a n\u0103m s\u1ed1 nguy\u00ean li\u00ean ti\u1ebfp th\u00ec chia h\u1ebft cho 5<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n: <span class='basic_pink'> A. \u0110\u00fang<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1330}],"lesson":{"save":0,"level":3}}