{"segment":[{"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":[[["60","+60"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai28/lv3/img\/2.jpg' \/><\/center>B\u1ecf ngo\u1eb7c r\u1ed3i t\u00ednh:<br\/> -[-19 + (-28 + 10)] - (-23) = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>+ Khi d\u1ea5u ngo\u1eb7c c\u00f3 d\u1ea5u (-) \u0111\u1eb1ng tr\u01b0\u1edbc, ta ph\u1ea3i \u0111\u1ed5i d\u1ea5u 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<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/>$\\begin{align*}&-[-19 + (-28 + 10)] - (-23) \\\\&= -(-19 - 28 + 10) + 23\\\\&= 19 + 28 - 10 + 23\\\\&= (19 + 28 + 23) - 10\\\\&= (47 + 23) - 10\\\\&= 70 - 10\\\\&= 60\\end{align*}$<br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> 60<\/span><\/span> <br\/> "}]}],"id_ques":1381},{"time":14,"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 b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd:<br\/>37.(63 - 19) - 63.(5 + 37) = <span class='basic_hoi_black'>?<\/span>","select":["A. -1018","B. 1018","C. -1108","D. -1801"],"hint":" ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u1ecf ngo\u1eb7c r\u1ed3i t\u00ednh m\u1ed9t c\u00e1ch th\u00edch h\u1ee3p<\/span><br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&37.(63 - 19) - 63.(5 + 37)\\\\&= 37.63 - 37.19 -63.5 - 63.37 \\\\&= -(37 . 19 + 63 . 5) + (37.63 - 63.37)\\\\&= - (703 + 315) + 0\\\\&= -1018\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. -1018<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1382},{"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":[[["-4"],["9"],["1"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"T\u00ecm c\u00e1c s\u1ed1 x, y, z bi\u1ebft: x + y = 5, y + z = 10, z + x = -3<br\/>x = _input_, y = _input_, z = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>$\\begin{align*}x + y + y + z + z + x&=5 + 10 + (-3)\\\\(x + x) + (y + y) + (z + z)&= 15 - 3\\\\2x + 2y + 2z&= 12\\\\2. (x + y + z)&= 12\\\\x + y + z&= 12 : 2\\\\x + y + z&= 6\\end{align*}$<br\/>+)<br\/> $\\begin{align*}(x + y + z) - (x + y)&=6 - 5\\\\z&= 1 \\end{align*}$<br\/>+)<br\/> $\\begin{align*}(x + y + z) - (y + z)&=6 - 10\\\\x&= - (10 - 6)\\\\x&= -4 \\end{align*}$<br\/>+)<br\/>$\\begin{align*}(x + y + z) - (z + x)&=6 - (-3)\\\\y&= 6 + 3\\\\y&= 9 \\end{align*}$<br\/>V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0: <span class='basic_pink'> -4; 9; 1<\/span><\/span> <br\/><\/span> "}]}],"id_ques":1383},{"time":14,"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\u00ecm n, bi\u1ebft: 9 $\\vdots$ n + 1","select":["A. n $\\in$ {-10; -4; -2; 0; 2; 8}","B. n $\\in$ {-10; -4; -2; 0; 2; -8}","C. n $\\in$ {-10; -4; -2; 0; -2; -8}","n $\\in$ {10; 4; -2; 0; 2; 8}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3:<br\/>9 $\\vdots$ (n + 1) $\\Rightarrow$ (n + 1) $\\in$ \u01af (9)<br\/>M\u00e0 \u01af(9) = {-9; -3; -1; 1; 3; 9}<br\/> $\\Rightarrow$ (n + 1) $\\in$ {-9; -3; -1; 1; 3; 9}<br\/>Ta c\u00f3 b\u1ea3ng gi\u00e1 tr\u1ecb<br\/><table><tr><th>n + 1<\/th><th>-9<\/th><th>-3<\/th><th>-1<\/th><th>1<\/th><th>3<\/th><th>9<\/th><\/tr><tr><td>n<\/td><td>-10<\/td><td>-4<\/td><td>-2<\/td><td>0<\/td><td>2<\/td><td>8<\/td><\/tr><\/table> V\u1eady n $\\in$ {-10; -4; -2; 0; 2; 8}<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. n $\\in$ {-10; -4; -2; 0; 2; 8}<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1384},{"time":14,"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 = $x^2$ - x - 8 v\u1edbi x = -2","select":["A = -2","A = 2","A = 14","A = -14"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: Thay gi\u00e1 tr\u1ecb c\u1ee7a x v\u00e0o bi\u1ec3u th\u1ee9c<br\/>B\u01b0\u1edbc 2: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Thay x = -2 v\u00e0o bi\u1ec3u th\u1ee9c ta \u0111\u01b0\u1ee3c:<br\/>$\\begin{align*}A&= (-2)^2 - (-2) - 8\\\\&= 4 + 2 - 8\\\\&= 6 - 8\\\\&= -2\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A = -2<\/span><\/span> <br\/>","column":2}]}],"id_ques":1385},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" T\u00ecm x, bi\u1ebft:<br\/>(x - 1) . (x + 5) = 0","select":["A. x = 1 ho\u1eb7c x = 5","B. x = -1 ho\u1eb7c x = 5","C. x = -1 v\u00e0 x = -5","D. x = 1 ho\u1eb7c x = -5"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>A . B = 0 th\u00ec A = 0 ho\u1eb7c B = 0<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>(x - 1) . (x + 5) = 0<br\/>$\\Rightarrow$ x - 1 = 0 ho\u1eb7c x + 5 = 0<br\/>+)<br\/> $\\begin{align*}x - 1&=0\\\\x&= 0 + 1\\\\x&= 1\\end{align*}$<br\/>+)<br\/> $\\begin{align*}x + 5&=0\\\\x&= 0 - 5\\\\x&= -5\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> D. x = 1 ho\u1eb7c x = -5<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1386},{"time":14,"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/bai28/lv3/img\/2.jpg' \/><\/center> -4.[12 : $(-2)^2$ - 4 . (-3)] - $(-11)^2$ = <span class='basic_hoi_black'>?<\/span>","select":["A. 181","B. -181","C. 85","D. -157"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&-4.[12 : (-2)^2 - 4 . (-3)] - (-11)^2\\\\&= -4.[12 : 4 - (-12)] - 121\\\\&= -4. (3 + 12) - 121\\\\&=-4. 15 - 121\\\\&= -60 - 121\\\\&= -(60 + 121)\\\\&= -181\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. -181<\/span><\/span> <br\/>","column":2}]}],"id_ques":1387},{"time":14,"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\u1eadp h\u1ee3p c\u00e1c s\u1ed1 nguy\u00ean x th\u1ecfa m\u00e3n: (2x + 3) $\\vdots$ (x - 4)","select":["A. x $\\in$ {7; -3; -5; 15}","B. x $\\in$ {-7; 3; 5; 15}","C. x $\\in$ {-7; -3; 3; -15}","x $\\in$ {7; -3; 3; -15}"],"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 (2x + 3) v\u1ec1 d\u1ea1ng k.(x - 4) + h ( v\u1edbi k, h $\\in$ Z)<br\/>B\u01b0\u1edbc 2: T\u00ecm x<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: (2x + 3) = 2.(x - 4) + 11<br\/>\u0110\u1ec3 (2x + 3) $\\vdots$ (x - 4) <br\/>$\\Leftrightarrow$ 2.(x - 4) + 11 $\\vdots$ (x - 4)<br\/>L\u1ea1i c\u00f3: 2.(x - 4) $\\vdots$ (x - 4) v\u1edbi m\u1ecdi x<br\/>$\\Rightarrow$ 11 $\\vdots$ (x - 4) <br\/> $\\Rightarrow$ (x - 4) $\\in$ \u01af(11) = {-11; -1; 1; 11}<br\/>Ta c\u00f3 b\u1ea3ng gi\u00e1 tr\u1ecb nh\u01b0 sau:<br\/><table><tr><th>x - 4<\/th><th>-11<\/th><th>-1<\/th><th>1<\/th><th>11<\/th><\/tr><tr><td>x<\/td><td>-7<\/td><td>3<\/td><td>5<\/td><td>15<\/td><\/tr><\/table><br\/>V\u1eady x $\\in$ {-7; 3; 5; 15}<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. x $\\in$ {-7; 3; 5; 15}<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1388},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" C\u1eb7p s\u1ed1 nguy\u00ean x, y KH\u00d4NG th\u1ecfa m\u00e3n: x.y + 2.x + 3.y = -8 l\u00e0:","select":["A. x = 5; y = -1","B. x = -2; y = -4","C. x = -1; y = -3","x = -4; y = 0"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&x.y + 2.x + 3.y= -8\\\\&(x.y + 2.x) + 3.y = -6 - 2\\\\&x.(y + 2) + (3.y + 6)=-2\\\\&x.(y + 2) + (3.y + 3. 2)= -2\\\\&x.(y + 2) + 3.(y + 2)=-2\\\\&(x + 3).(y + 2)=-2\\end{align*}$<br\/>$\\Rightarrow$ (x + 3) v\u00e0 (y + 2) l\u00e0 \u01b0\u1edbc c\u1ee7a -2<br\/>\u01af(-2) = {-2; -1; 1; 2}<br\/>Ta c\u00f3 b\u1ea3ng gi\u00e1 tr\u1ecb nh\u01b0 sau:<br\/><table><tr><th>x + 3<\/th><th>-2<\/th><th>-1<\/th><th>1<\/th><th>2<\/th><\/tr><tr><td>x<\/td><td>-5<\/td><td>-4<\/td><td>-2<\/td><td>-1<\/td><\/tr><tr><td>y + 2<\/td><td>1<\/td><td>2<\/td><td>-2<\/td><td>-1<\/td><\/tr><tr><td>y<\/td><td>-1<\/td><td>0<\/td><td>-4<\/td><td>-3<\/td><\/tr><\/table><br\/>V\u1eady (x,y) $\\in$ {(-5,-1); (-4, 0); (-2, -4); (-1, -3)}<br\/>C\u1eb7p s\u1ed1 nguy\u00ean x, y kh\u00f4ng th\u1ecfa m\u00e3n: x.y + 2.x + 3.y = -8 l\u00e0: x = 5; y = -1<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. x = 5; y = -1<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1389},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" Cho ph\u00e2n s\u1ed1 $A = \\dfrac{5}{n - 1}$, n $\\in$ Z. V\u1edbi gi\u00e1 tr\u1ecb n\u00e0o c\u1ee7a n th\u00ec A l\u00e0 s\u1ed1 nguy\u00ean?","select":["A. n $\\in$ {-5; -1; 1; 5}","B. n $\\in$ {-4; -1; 1; 5}","C. n $\\in$ {-4; 0; 2; 6}","D. n $\\in$ {-6; 0; 2; 6}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>\u0110\u1ec3 ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ l\u00e0 s\u1ed1 nguy\u00ean th\u00ec b ph\u1ea3i l\u00e0 \u01b0\u1edbc c\u1ee7a a.<\/span> <br\/><br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>\u0110\u1ec3 A l\u00e0 s\u1ed1 nguy\u00ean th\u00ec n - 1 ph\u1ea3i l\u00e0 \u01b0\u1edbc c\u1ee7a 5<br\/>\u01af(5) = {-5; -1; 1; 5}<br\/>$\\Rightarrow$ (n - 1) = {-5; -1; 1; 5}<br\/>$\\Rightarrow$ n $\\in$ {-4; 0; 2; 6}<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>C. n $\\in$ {-4; 0; 2; 6}<\/span> <\/span> <br\/><\/span>","column":2}]}],"id_ques":1390}],"lesson":{"save":0,"level":3}}