{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai10/lv2/img\/10.jpg' \/><\/center> So s\u00e1nh c\u1eb7p s\u1ed1 th\u1ef1c 2,(16) v\u00e0 2,(15) ta \u0111\u01b0\u1ee3c","select":["A. 2,(16) < 2,(15) ","B. 2,(16) > 2,(15) ","C. 2,(16) = 2,(15) "],"explain":" Ta c\u00f3: 2,(16) = 2,161616... <br\/> 2,(15) = 2,151515.. <br\/> M\u00e0 2,16... > 2,15... n\u00ean 2,(16) > 2,(15) <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span><\/span> ","column":3}]}],"id_ques":471},{"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: <br\/> $\\sqrt{1,69} \\left( 2\\sqrt{x} + \\sqrt{\\dfrac{81}{121}} \\right)= \\dfrac{13}{10}$ ","select":["A. $x = \\dfrac{4}{121}$ ","B. $x = \\dfrac{1}{121}$ ","C. $x = \\dfrac{1}{22}$ ","D. $x = \\dfrac{16}{121}$ "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> \u00c1p d\u1ee5ng $\\sqrt{x} = a (a \\geq 0)\\Rightarrow x = a^{2}$ <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $\\sqrt{1,69} \\left( 2\\sqrt{x} + \\sqrt{\\dfrac{81}{121}}\\right) = \\dfrac{13}{10} \\\\ \\Rightarrow 1,3 . \\left( 2\\sqrt{x} + \\dfrac{9}{11} \\right) = 1,3 \\\\ \\Rightarrow 2\\sqrt{x} + \\dfrac{9}{11} = 1,3 : 1,3 = 1 \\\\ \\Rightarrow 2\\sqrt{x} = 1 - \\dfrac{9}{11} = \\dfrac{2}{11} \\\\ \\Rightarrow \\sqrt{x} = \\dfrac{2}{11} : 2 = \\dfrac{1}{11} \\\\ \\Rightarrow x = \\left(\\dfrac{1}{11} \\right)^{2} \\\\ \\Rightarrow x = \\dfrac{1}{121}$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":2}]}],"id_ques":472},{"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/lop7/toan/daiso/bai10/lv2/img\/4.jpg' \/><\/center> T\u00ecm $x$, bi\u1ebft: <br\/> $\\left| \\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20}\\right| - \\dfrac{3}{4} = \\dfrac{1}{5}$ ","select":["A. $x = \\dfrac{25}{9}$ ho\u1eb7c $x = \\dfrac{9}{4}$ ","B. $x = \\dfrac{25}{9}$ ho\u1eb7c $x = \\dfrac{-9}{4}$ ","C. $x = \\dfrac{25}{9}$ ","D. $x = \\dfrac{5}{3}$ "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> \u00c1p d\u1ee5ng $\\sqrt{x} = a (a \\geq 0)\\Rightarrow x = a^{2}$ <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $\\left|\\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20}\\right| - \\dfrac{3}{4} = \\dfrac{1}{5} \\\\ \\Rightarrow \\left| \\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20} \\right| = \\dfrac{1}{5} + \\dfrac{3}{4} = \\dfrac{19}{20}$ <br\/> $\\Rightarrow \\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20} = \\dfrac{19}{20}$ ho\u1eb7c $ \\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20} = - \\dfrac{19}{20}$ <br\/> Tr\u01b0\u1eddng h\u1ee3p 1: $\\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20} = \\dfrac{19}{20} \\\\ \\Rightarrow \\dfrac{3}{5} \\sqrt{x} = \\dfrac{19}{20} + \\dfrac{1}{20} = 1 \\\\ \\Rightarrow \\sqrt{x} = 1 : \\dfrac{3}{5} = \\dfrac{5}{3} \\\\ \\Rightarrow x = \\left(\\dfrac{5}{3}\\right)^{2} = \\dfrac{25}{9}$ <br\/> Tr\u01b0\u1eddng h\u1ee3p 2: $ \\dfrac{3}{5}\\sqrt{x} - \\dfrac{1}{20} = - \\dfrac{19}{20} $ <br\/> $ \\Rightarrow \\sqrt{x} = -\\dfrac{3}{2} < 0$ (lo\u1ea1i) <br\/> V\u1eady gi\u00e1 tr\u1ecb c\u1ee7a $x$ l\u00e0: $\\dfrac{25}{9}$<br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":473},{"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":" Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $A = \\left( \\sqrt{2\\dfrac{14}{25}} - \\sqrt{1,21} \\right) . \\left( 1,21 + 2\\dfrac{14}{25} + \\sqrt{1,21.2\\dfrac{14}{25}} \\right)$ l\u00e0: ","select":["A. 5,53 ","B. 2,765 ","C. 1,76","D. 1,21"],"explain":" Ta c\u00f3: $A = \\left( \\sqrt{2\\dfrac{14}{25}} - \\sqrt{1,21} \\right) . \\left( 1,21 + 2\\dfrac{14}{25} + \\sqrt{1,21.2\\dfrac{14}{25}} \\right) \\\\ = \\left(\\dfrac{8}{5} - 1,1\\right) . \\left( 1,21 + \\dfrac{64}{25} + 1,1.\\dfrac{8}{5} \\right) \\\\ = (1,6 -1,1).(1,21 + 2,56 + 1,76) \\\\ = 0,5 . 5,53 \\\\ = 2,765$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":4}]}],"id_ques":474},{"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/lop7/toan/daiso/bai10/lv2/img\/4.jpg' \/><\/center> Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang: ","select":["A. $ \\mathbb{Z} \\subset \\mathbb{N}$ ","B. $ \\mathbb{R} \\subset \\mathbb{I}$ ","C. $ \\mathbb{I} \\subset \\mathbb{Q}$ ","D. $ \\mathbb{I} \\subset \\mathbb{R}$ "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> * $\\mathbb{Q}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9, l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ v\u1edbi $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <br\/> *$\\mathbb{Z}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 nguy\u00ean, bao g\u1ed3m $\u2026,-2 ;-1 ;0 ;1 ;2 ;\u2026$ <br\/> * $\\mathbb{I}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 v\u00f4 t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n. <br\/> *$\\mathbb{R}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 th\u1ef1c bao g\u1ed3m c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c\u00e1c s\u1ed1 v\u00f4 t\u1ec9. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Quan h\u1ec7 gi\u1eefa c\u00e1c t\u1eadp h\u1ee3p: <br\/> $\\mathbb{N} \\subset \\mathbb{Z} \\subset \\mathbb{Q} \\subset \\mathbb{R} $ v\u00e0 $\\mathbb{I} \\subset \\mathbb{R}$ <br\/> <br\/> <span class='basic_pink'> Suy ra c\u00e2u \u0111\u00fang l\u00e0 D <br\/> $ \\mathbb{I} \\subset \\mathbb{R}$ <br\/> <\/span><\/span> ","column":2}]}],"id_ques":475},{"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/lop7/toan/daiso/bai10/lv2/img\/10.jpg' \/><\/center>Th\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 v\u00f4 t\u1ec9 v\u00e0 m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9 l\u00e0 m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9? ","select":["\u0110\u00fang ","Sai"],"hint":"<br\/> Gi\u1ea3 s\u1eed $\\dfrac{a}{b} = b'$ l\u00e0 m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9. <br\/> Ki\u1ec3m tra xem \u0111i\u1ec1u gi\u1ea3 s\u1eed c\u00f3 \u0111\u00fang kh\u00f4ng.","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> * $\\mathbb{Q}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9, l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ v\u1edbi $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <br\/> * $\\mathbb{I}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 v\u00f4 t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi a l\u00e0 s\u1ed1 v\u00f4 t\u1ec9, b l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> Gi\u1ea3 s\u1eed $\\dfrac{a}{b} = b'$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> Khi \u0111\u00f3 $a = b.b'$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> \u0110i\u1ec1u n\u00e0y tr\u00e1i v\u1edbi gi\u1ea3 thi\u1ebft r\u1eb1ng a l\u00e0 s\u1ed1 v\u00f4 t\u1ec9. <br\/> V\u1eady $\\dfrac{a}{b}$ l\u00e0 s\u1ed1 v\u00f4 t\u1ec9. <br\/> Hay th\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 v\u00f4 t\u1ec9 v\u00e0 m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9 l\u00e0 m\u1ed9t s\u1ed1 v\u00f4 t\u1ec9? <br\/> <br\/> <span class='basic_pink'> Ch\u1ecdn \u0111\u00e1p \u00e1n Sai. <\/span><\/span> ","column":2}]}],"id_ques":476},{"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\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c: <br\/> $A = -5,13 : \\left(5\\dfrac{5}{28} - 1\\dfrac{8}{9}.1,25 + 1\\dfrac{16}{63}\\right)$ ","select":["A. -1,26 ","B. -4,07","C. -12,6","D. -126"],"hint":"$A = -5,13 : \\left(5\\dfrac{5}{28} - 2\\dfrac{13}{36} + 1\\dfrac{16}{63}\\right)$","explain":" Ta c\u00f3: $A = -5,13 : \\left(5\\dfrac{5}{28} - 1\\dfrac{8}{9}.1,25 + 1\\dfrac{16}{63}\\right) \\\\ = -5,13 : \\left(5\\dfrac{5}{28} - \\dfrac{17}{9}.\\dfrac{5}{4} + 1\\dfrac{16}{63}\\right) \\\\ = -5,13 : \\left(5\\dfrac{5}{28} - 2\\dfrac{13}{36} + 1\\dfrac{16}{63}\\right) \\\\ = -5,13 : \\left[ (5-2+1) + \\left(\\dfrac{5}{28} - \\dfrac{13}{36} + \\dfrac{16}{63}\\right)\\right] \\\\ = -5,13 : \\left(4 + \\dfrac{1}{14}\\right) \\\\ = -5,13 : \\dfrac{57}{14} \\\\ = -1,26 $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":4}]}],"id_ques":477},{"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 r\u1eb1ng: <br\/> $(-5,6).x + 2,9.x - 3,86 = -9,8 $ ","select":["A. $x = -2,2$ ","B. $x = 2,2 $ ","C. $x = -7,6$ ","D. $x = 8,5$ "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> Chuy\u1ec3n v\u1ebf \u0111\u01b0a v\u1ec1 d\u1ea1ng $ax = b \\Rightarrow x = \\dfrac{b}{a}$ <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $(-5,6).x + 2,9.x - 3,86 = -9,8 \\\\ \\Rightarrow [(-5,6) + 2,9]x - 3,86 = -9,8 \\\\ \\Rightarrow -2,7x - 3,86 = -9,8 \\\\ \\Rightarrow -2,7x = 3,86 - 9,8 = -5,94 \\\\ \\Rightarrow x = (-5,94) : (-2,7) \\\\ \\Rightarrow x = 2,2 $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":2}]}],"id_ques":478},{"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":" Bi\u1ebft $x + 0,3 < y + 0,3 $ v\u00e0 $ z + (-0,5) < x + (-0,5)$ <br\/> S\u1eafp x\u1ebfp c\u00e1c s\u1ed1 theo th\u1ee9 t\u1ef1 t\u0103ng d\u1ea7n l\u00e0: ","select":["A. $x, y, z$","B. $z, x, y$","C. $x, z, y$","D. $z, y, x$"],"explain":" Ta c\u00f3: $x + 0,3 < y + 0,3 \\\\ \\Leftrightarrow x < y (1)$ <br\/> $ z + (-0,5) < x + (-0,5) \\Rightarrow z < x (2) $ <br\/> T\u1eeb (1) v\u00e0 (2) suy ra $z < x < y$ <br\/> V\u1eady s\u1eafp x\u1ebfp c\u00e1c s\u1ed1 \u0111\u00e3 cho theo th\u1ee9 t\u1ef1 t\u0103ng d\u1ea7n l\u00e0 $z, x, y.$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":2}]}],"id_ques":479},{"time":24,"part":[{"time":24,"title":"N\u1ed1i m\u1ed7i d\u00f2ng \u1edf c\u1ed9t b\u00ean tr\u00e1i v\u1edbi m\u1ed9t d\u00f2ng \u1edf c\u1ed9t b\u00ean ph\u1ea3i \u0111\u1ec3 \u0111\u01b0\u1ee3c kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang: ","title_trans":"","audio":"","temp":"matching","correct":[["3","1","4","2"]],"list":[{"point":5,"image":"","left":["N\u1ebfu a l\u00e0 s\u1ed1 th\u1ef1c","S\u1ed1 v\u00f4 t\u1ec9","S\u1ed1 h\u1eefu t\u1ec9","M\u1ed7i s\u1ed1 th\u1ef1c"],"right":["l\u00e0 s\u1ed1 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n.","\u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi m\u1ed9t \u0111i\u1ec3m tr\u00ean tr\u1ee5c s\u1ed1.","th\u00ec a \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c v\u00f4 h\u1ea1n.","l\u00e0 s\u1ed1 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng m\u1ed9t s\u1ed1 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n."],"top":100,"explain":""}]}],"id_ques":480},{"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/lop7/toan/daiso/bai10/lv2/img\/2.jpg' \/><\/center> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang. ","select":["A. $x \\in \\mathbb{Z}$ th\u00ec $x \\in \\mathbb{R}$ ","B. $x \\in \\mathbb{R}$ th\u00ec $x \\in \\mathbb{I}$ ","C. $x \\in \\mathbb{I}$ th\u00ec $x \\in \\mathbb{Q}$","D. $x \\in \\mathbb{Q}$ th\u00ec $x \\in \\mathbb{I}$"],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> * $\\mathbb{Q}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9, l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ v\u1edbi $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <br\/> *$\\mathbb{Z}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 nguy\u00ean, bao g\u1ed3m $\u2026,-2 ;-1 ;0 ;1 ;2 ;\u2026$ <br\/> * $\\mathbb{I}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 v\u00f4 t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n. <br\/> *$\\mathbb{R}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 th\u1ef1c bao g\u1ed3m c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c\u00e1c s\u1ed1 v\u00f4 t\u1ec9. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Quan h\u1ec7 gi\u1eefa c\u00e1c t\u1eadp h\u1ee3p: <br\/> $\\mathbb{N} \\subset \\mathbb{Z} \\subset \\mathbb{Q} \\subset \\mathbb{R} $ <br\/> <br\/> <span class='basic_pink'> Suy ra c\u00e2u \u0111\u00fang l\u00e0 A <br\/> $x \\in \\mathbb{Z}$ th\u00ec $x \\in \\mathbb{R}$ <br\/> <\/span><\/span> ","column":2}]}],"id_ques":481},{"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":"S\u1eafp x\u1ebfp c\u00e1c s\u1ed1 th\u1ef1c: <br\/> $-3,2; 1; -\\dfrac{1}{2}; 7,4; 0; -1,5$ <br\/> theo th\u1ee9 t\u1ef1 t\u1eeb nh\u1ecf \u0111\u1ebfn l\u1edbn c\u1ee7a c\u00e1c gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang.","select":["A. $ \\left |-\\dfrac{1}{2} \\right | < |-1,5| < |-3,2| < |0| < |1| < |7,4|$ ","B. $|-3,2| < |-1,5| < \\left |-\\dfrac{1}{2}\\right | < |0| < |1| < |7,4|$ ","C. $|0| < \\left |-\\dfrac{1}{2}\\right | < |1| < |-1,5| < |-3,2| < |7,4|$"],"explain":" Ta c\u00f3: $|0| < \\left |-\\dfrac{1}{2}\\right | < |1| < |-1,5| < |-3,2| < |7,4|$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":1}]}],"id_ques":482},{"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/lop7/toan/daiso/bai10/lv2/img\/4.jpg' \/><\/center> Ch\u1eef s\u1ed1 th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o \u00f4 vu\u00f4ng $-8,3513 < -8,35\\square 2 $ l\u00e0: ","select":["A. 0; 1; 2 ","B. 0; 1 ","C. 0; 1; 2; ...;9","D. 1; 2; ...; 9"],"explain":" Ta c\u00f3 $8,35<b>1<\/b>3 > 8,35<b>0<\/b>2$ <br\/> Suy ra $-8,35<b>1<\/b>3 < -8,35<b>0<\/b>2 $ <br\/> $8,35<b>1<\/b>3 > 8,35<b>1 <\/b> 2$ <br\/> Suy ra $-8,35<b>1<\/b>3 < -8,35<b>1<\/b>2 $ <br\/> Ch\u1eef s\u1ed1 th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o \u00f4 vu\u00f4ng l\u00e0: 0; 1. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> <span class='basic_left'> <u> L\u01b0u \u00fd <\/u> <br\/> Trong hai s\u1ed1 \u00e2m, s\u1ed1 n\u00e0o c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf (l\u1edbn) h\u01a1n th\u00ec s\u1ed1 \u1ea5y l\u1edbn (nh\u1ecf) h\u01a1n. <\/span>","column":2}]}],"id_ques":483},{"time":24,"part":[{"title":"\u0110i\u1ec1n ch\u1eef s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"]]],"list":[{"point":5,"width":10,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai10/lv2/img\/2.jpg' \/><\/center> $-7,5_input_8 > -7,513$ ","explain":" Ta c\u00f3 7,<b>50<\/b>8 < 7,<b>51<\/b>3 <br\/> Suy ra -7,<b>50<\/b>8 > -7,<b>51<\/b>3 <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb ph\u1ea3i \u0111i\u1ec1n l\u00e0 : 0 <\/span><\/span> <span class='basic_left'> <u> L\u01b0u \u00fd <\/u> <br\/> Trong hai s\u1ed1 \u00e2m, s\u1ed1 n\u00e0o c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf (l\u1edbn) h\u01a1n th\u00ec s\u1ed1 \u1ea5y l\u1edbn (nh\u1ecf) h\u01a1n. <\/span>"}]}],"id_ques":484},{"time":24,"part":[{"title":"\u0110i\u1ec1n ch\u1eef s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["9"]]],"list":[{"point":5,"width":10,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai10/lv2/img\/10.jpg' \/><\/center> -0,4_input_854 < -0,49826 ","explain":" Ta c\u00f3 0,4<b>985<\/b>4 > 0,4<\/b>982<\/b>6 <br\/> Suy ra -0,4<b>985<\/b>4 < -0,4<\/b>982<\/b>6 <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb ph\u1ea3i \u0111i\u1ec1n l\u00e0 9 <\/span><\/span> <span class='basic_left'> <u> L\u01b0u \u00fd <\/u> <br\/> Trong hai s\u1ed1 \u00e2m, s\u1ed1 n\u00e0o c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf (l\u1edbn) h\u01a1n th\u00ec s\u1ed1 \u1ea5y l\u1edbn (nh\u1ecf) h\u01a1n. <\/span>"}]}],"id_ques":485},{"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":" Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh: <br\/> $\\left(\\dfrac{9}{25} - 2,18\\right) : \\left(3\\dfrac{4}{5} + 0,2 \\right)$ ","select":["A. -8,19 ","B. -8,91","C. 7,5","D. -0,455"],"explain":" Ta c\u00f3: $\\left(\\dfrac{9}{25} - 2,18\\right) : \\left(3\\dfrac{4}{5} + 0,2 \\right) \\\\ = (0,36 - 2,18) : (3,8 + 0,2) \\\\ = -1,82 : 4 \\\\ = -0,455$<br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":4}]}],"id_ques":486},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["t","f","t"]],"list":[{"point":5,"image":"","col_name":["","\u0110\u00fang","Sai"],"arr_ques":[" N\u1ebfu a l\u00e0 s\u1ed1 nguy\u00ean th\u00ec a c\u0169ng l\u00e0 s\u1ed1 th\u1ef1c. "," Ch\u1ec9 c\u00f3 s\u1ed1 0 kh\u00f4ng l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng v\u00e0 c\u0169ng kh\u00f4ng l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 \u00e2m."," N\u1ebfu a l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean th\u00ec a kh\u00f4ng ph\u1ea3i l\u00e0 s\u1ed1 v\u00f4 t\u1ec9."],"explain":["(\u0110\u00fang) V\u00ec $\\mathbb{Z}\\subset \\mathbb{R}$","<br\/> (Sai) V\u00ec s\u1ed1 v\u00f4 t\u1ec9 c\u0169ng kh\u00f4ng l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng c\u0169ng kh\u00f4ng l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 \u00e2m. ","<br\/> (\u0110\u00fang) V\u00ec s\u1ed1 v\u00f4 t\u1ec9 l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n "]}]}],"id_ques":487},{"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\u00ednh $\\sqrt{a^{2}+b^{2}+c^{2}}$ v\u1edbi a = 1, b = 2, c = 2. ","select":["A. $\\sqrt{5}$ ","B. $\\dfrac{8}{3}$","C. $3$","D. $5$"],"explain":" Thay a = 1, b = 2, c = 2 v\u00e0o bi\u1ec3u th\u1ee9c ta \u0111\u01b0\u1ee3c: <br\/> $\\sqrt{a^{2}+b^{2}+c^{2}} \\\\ = \\sqrt{1^{2}+2^{2}+2^{2}} \\\\ = \\sqrt{1+4+4} \\\\ = \\sqrt{9} \\\\ = 3 $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":488},{"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":" Trong c\u00e1c s\u1ed1 sau \u0111\u00e2y c\u00f3 m\u1ea5y s\u1ed1 thu\u1ed9c t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 v\u00f4 t\u1ec9 ($\\mathbb{I}$)? <br\/> 23; -1,5; -25; 0,(3); $\\sqrt{3}; \\sqrt{7}; \\pi; -\\sqrt{5}; \\sqrt{16}$ ","select":["A. 3","B. 4","C. 5","D. 2"],"hint":"S\u1ed1 v\u00f4 t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n.","explain":"Trong c\u00e1c s\u1ed1 \u0111\u00e3 cho ch\u1ec9 c\u00f3 4 s\u1ed1 : <br\/> $\\sqrt{3}; \\sqrt{7}; \\pi; -\\sqrt{5}$ l\u00e0 s\u1ed1 v\u00f4 t\u1ec9. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":4}]}],"id_ques":489},{"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":" Cho $x = \\sqrt{3}, y = \\pi , z = \\sqrt{3,1}$ <br\/> S\u1eafp x\u1ebfp c\u00e1c s\u1ed1 theo th\u1ee9 t\u1ef1 gi\u1ea3m d\u1ea7n l\u00e0: ","select":["A. $y, z, x$","B. $y, x, z$","C. $x, z, y$","D. $z, x, y$"],"hint":"Ta c\u00f3: $\\pi \\approx 3,1416$","explain":" Ta c\u00f3: $\\sqrt{3} < \\sqrt{3,1}$ <br\/> $\\sqrt{3,1} \\approx 1,7607$ <br\/> $\\pi \\approx 3,1416 \\Rightarrow \\pi > \\sqrt{3,1}$ <br\/> V\u1eady s\u1eafp x\u1ebfp 3 s\u1ed1 tr\u00ean theo th\u1ee9 t\u1ef1 gi\u1ea3m d\u1ea7n l\u00e0: $\\pi, \\sqrt{3,1}, \\sqrt{3}$ <br\/> t\u1ee9c l\u00e0 $y, z, x.$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":4}]}],"id_ques":490}],"lesson":{"save":0,"level":2}}