{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u00ed t\u1ef1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng ( < ; = ; > )","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/4.jpg' \/><\/center> So s\u00e1nh c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 sau: $ \\dfrac{6}{4} $_input_$ \\dfrac{15}{16} $","hint":" So s\u00e1nh hai ph\u00e2n s\u1ed1 v\u1edbi 1 ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> $\\bullet$ Ph\u00e2n s\u1ed1 c\u00f3 t\u1eed s\u1ed1 l\u1edbn h\u01a1n m\u1eabu s\u1ed1 th\u00ec l\u1edbn h\u01a1n 1 <br\/> $\\bullet$ Ph\u00e2n s\u1ed1 c\u00f3 t\u1eed s\u1ed1 nh\u1ecf h\u01a1n m\u1eabu s\u1ed1 th\u00ec nh\u1ecf h\u01a1n 1 <\/span> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $ \\dfrac{6}{4} > 1 > \\dfrac{15}{16} $ <br\/> Suy ra $ \\dfrac{6}{4} > \\dfrac{15}{16} $ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0 ''>'' <\/span><\/span> "}]}],"id_ques":1},{"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/bai1/lv1/img\/4.jpg'\/><\/center> S\u1ed1 $\\dfrac{3}{4}$ l\u00e0 m\u1ed9t s\u1ed1... .H\u00e3y ch\u1ecdn t\u1eeb th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o d\u1ea5u ... ","select":["A. T\u1ef1 nhi\u00ean","B. Nguy\u00ean","C. H\u1eefu t\u1ec9"],"hint":" $\\dfrac{3}{4}$ l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\mathbb{N}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean, bao g\u1ed3m $ 0 ; 1 ; 2 ; 3 ; \u2026 $ <br\/> $ \\bullet\\, \\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\/> $\\bullet\\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Nh\u1eadn th\u1ea5y $\\dfrac{3}{4}$ l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ v\u1edbi $3,4 \u2208 \\mathbb{Z} , 4 \u2260 0$.<br\/> $ \\Rightarrow \\dfrac{3}{4}$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span> <\/span>","column":3}]}],"id_ques":2},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> S\u1ed1 $-0,5$ l\u00e0 m\u1ed9t s\u1ed1... .H\u00e3y ch\u1ecdn t\u1eeb th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o d\u1ea5u ... ","select":["A. T\u1ef1 nhi\u00ean ","B. Nguy\u00ean ","C. H\u1eefu t\u1ec9 "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\mathbb{N}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean, bao g\u1ed3m $ 0 ; 1 ; 2 ; 3 ; \u2026 $ <br\/> $ \\bullet \\, \\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\/> $\\bullet \\, \\mathbb{Q}$ 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 $a, b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: $ -0,5 = \\dfrac{-5}{10}$ <br\/> M\u00e0 $\\dfrac{-5}{10} $ l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ v\u1edbi $-5, 10 \u2208 \\mathbb{Z} , 10 \u2260 0$. <br\/> N\u00ean $\\dfrac{-5}{10}$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 hay $-0,5$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span> ","column":3}]}],"id_ques":3},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0:","select":[" $\\mathbb{N}$"," $\\mathbb{Q}$ "," $\\mathbb{Z}$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\mathbb{N}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean, bao g\u1ed3m $ 0 ; 1 ; 2 ; 3 ; \u2026 $ <br\/> $ \\bullet \\, \\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\/> $\\bullet \\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0 $\\mathbb{Q}$. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 $\\mathbb{Q}$. <\/span> ","column":3}]}],"id_ques":4},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> S\u1ed1 nguy\u00ean $a$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 \u0111\u00fang hay sai? ","select":[" \u0110\u00fang "," Sai"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\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\/> $\\bullet \\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: $ a = \\dfrac{a}{1}$<br\/> M\u00e0 $\\dfrac{a}{1} $ l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ <br\/> N\u00ean $\\dfrac{a}{1}$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 hay s\u1ed1 nguy\u00ean $a$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 \u0110\u00fang. <\/span> ","column":2}]}],"id_ques":5},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> S\u1ed1 $0$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 \u0111\u00fang hay sai?","select":[" \u0110\u00fang "," Sai"],"hint":" S\u1ed1 h\u1eefu t\u1ec9 bao g\u1ed3m s\u1ed1 h\u1eefu t\u1ec9 \u00e2m, s\u1ed1 $0$ v\u00e0 s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng. ","explain":" S\u1ed1 h\u1eefu t\u1ec9 bao g\u1ed3m s\u1ed1 h\u1eefu t\u1ec9 \u00e2m, s\u1ed1 $0$ v\u00e0 s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng. <br\/> V\u1eady s\u1ed1 0 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 \u0110\u00fang. <\/span><\/span> ","column":2}]}],"id_ques":6},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n l\u00e0 \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Mu\u1ed1n cho s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{a}{b}$ l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng th\u00ec $a$ v\u00e0 $b$ ph\u1ea3i c\u00f3 \u0111i\u1ec1u ki\u1ec7n: ","select":[" A. $a$ v\u00e0 $b$ c\u00f9ng d\u1ea5u "," B. $a$ v\u00e0 $b$ tr\u00e1i d\u1ea5u "],"hint":"$\\dfrac{a}{b} > 0 \\Leftrightarrow a > 0, b > 0$ ho\u1eb7c $a < 0, b < 0$","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> $\\bullet$ S\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{a}{b}$ l\u00e0 s\u1ed1 d\u01b0\u01a1ng n\u1ebfu $a$ v\u00e0 $ b$ c\u00f9ng d\u1ea5u; l\u00e0 s\u1ed1 \u00e2m n\u1ebfu $a$ v\u00e0 $ b$ kh\u00e1c d\u1ea5u; b\u1eb1ng $0$ n\u1ebfu $a$ b\u1eb1ng $0$ <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Mu\u1ed1n cho s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{a}{b}$ l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng th\u00ec $a$ v\u00e0 $b$ c\u00f9ng d\u1ea5u <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":7},{"time":9,"part":[{"title":"X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 - d\u1ea1ng click","title_trans":"","temp":"coordinates","correct":[["1.5,0"]],"list":[{"point":5,"toa_do":[["0","0","0"],[]],"is_click":1,"name_toado_click":"A","ques":"Cho h\u00ecnh v\u1ebd sau <br\/>_inputtiaso_ <br\/> B\u1ea1n h\u00e3y click v\u00e0o \u0111i\u1ec3m bi\u1ec3u di\u1ec5n s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{3}{2}$","hint":"$\\dfrac{3}{2} = 1,5$","explain":"S\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{3}{2}$ \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111i\u1ec3m A n\u1eb1m b\u00ean ph\u1ea3i \u0111i\u1ec3m 0."}]}],"id_ques":8},{"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/bai1/lv1/img\/4.jpg' \/><\/center>Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","select":["A. $\\dfrac{-3}{2} \\in \\mathbb{N}$","B. $\\dfrac{-3}{2} \\in \\mathbb{Z}$","C. $\\dfrac{-3}{2} \\in \\mathbb{Q}$","D. $\\dfrac{-3}{2} \\notin \\mathbb{Q}$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\mathbb{N}$ k\u00ed hi\u1ec7u t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean, bao g\u1ed3m $ 0 ; 1 ; 2 ; 3 ; \u2026 $ <br\/> $ \\bullet \\, \\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\/> $\\bullet \\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Nh\u1eadn th\u1ea5y $\\dfrac{-3}{2}$ l\u00e0 s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 $\\dfrac{a}{b}$ <br\/> $ \\Rightarrow \\dfrac{-3}{2}$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 $ \\in \\mathbb{Q}$. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span> ","column":2}]}],"id_ques":9},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 sai?","select":["A. $\\dfrac{11}{-7} \\in \\mathbb{Q}$","B. $3 \\dfrac{1}{4} \\notin \\mathbb{Q} $","C. $-5 \\in \\mathbb{Z}$","D. $ 0 \\in \\mathbb{Q}$ "],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $ \\bullet \\, \\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\/> $\\bullet \\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Kh\u1eb3ng \u0111\u1ecbnh sai l\u00e0 kh\u1eb3ng \u0111\u1ecbnh (B) v\u00ec: <br\/> $3\\dfrac{1}{4} = \\dfrac{13}{4}$ l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 $\\Rightarrow 3\\dfrac{1}{4}\\in \\mathbb{Q}$ <br\/> D\u1ec5 th\u1ea5y c\u00e1c kh\u1eb3ng \u0111\u1ecbnh c\u00f2n l\u1ea1i \u0111\u00fang <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 B. <\/span> ","column":2}]}],"id_ques":10},{"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/bai1/lv1/img\/4.jpg'\/> <\/center> $ \\sqrt{25}$ ... $ \\mathbb{Q} .$ Ch\u1ecdn k\u00ed hi\u1ec7u th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o d\u1ea5u ...","select":[" $ \\in$"," $ \\notin $"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/> <b>Ta c\u00f3 \u0111\u1ecbnh ngh\u0129a: <\/b> <br\/> $\\bullet \\, \\mathbb{Q}$ 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 $a,b \u2208 \\mathbb{Z} , b \u2260 0$. <\/span> <br\/> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>Ta c\u00f3 : $ \\sqrt{25} = 5 = \\dfrac{5}{1}$ <br\/> M\u00e0 $\\dfrac{5}{1} \\in \\mathbb{Q}$ n\u00ean $ \\sqrt{25} \\in \\mathbb{Q}$<br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 $ \\in$ .<\/span> ","column":2}]}],"id_ques":11},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n\u00e0 \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Cho h\u00ecnh v\u1ebd sau: <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/D7B01-01.png' \/><\/center> S\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111i\u1ec3m P l\u00e0:","select":["A. $\\dfrac{-3}{2}$","B. $\\dfrac{-1}{2}$","C. $-2$","D. $-1$"],"explain":" S\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111i\u1ec3m P l\u00e0 $\\dfrac{-3}{2}$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":12},{"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":"Cho h\u00ecnh v\u1ebd sau: <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/D7B01-02.png' \/><\/center> S\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111i\u1ec3m N l\u00e0:","select":["A. $2$","B. $1$","C. $\\dfrac{1}{2}$","D. $\\dfrac{-1}{2}$"],"explain":"S\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111i\u1ec3m N l\u00e0 $\\dfrac{1}{2}$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":13},{"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 ph\u00e2n s\u1ed1 sau, ph\u00e2n s\u1ed1 n\u00e0o bi\u1ec3u di\u1ec5n s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{2}{-5}?$ ","select":[" A. $\\dfrac{-4}{15}$ "," B. $\\dfrac{-4}{10}$"," C. $\\dfrac{10}{-26}$"],"hint":" R\u00fat g\u1ecdn ph\u00e2n s\u1ed1 v\u1ec1 d\u1ea1ng t\u1ed1i gi\u1ea3n r\u1ed3i k\u1ebft lu\u1eadn","explain":" \u00c1p d\u1ee5ng t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a ph\u00e2n s\u1ed1, ta c\u00f3: <br\/> $ \\dfrac{-4}{15} = \\dfrac{-4}{15} \\\\ \\dfrac{-4}{10} = \\dfrac{-2.2}{5.2} = \\dfrac{-2}{5} = \\dfrac{2}{-5} \\Rightarrow \\dfrac{-4}{10} = \\dfrac{2}{-5} \\\\ \\dfrac{10}{-26} = \\dfrac{5.(2)}{-13.(2)} = \\dfrac{5}{-13} $ <br\/> V\u1eady ph\u00e2n s\u1ed1 $\\dfrac{-4}{10}$ bi\u1ec3u di\u1ec5n s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{2}{-5}$ <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":3}]}],"id_ques":14},{"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/bai1/lv1/img\/4.jpg' \/><\/center>K\u1ebft qu\u1ea3 n\u00e0o sau \u0111\u00e2y l\u00e0 sai? ","select":["A. $\\dfrac{4}{12} = \\dfrac{-6}{-18}$ ","B. $\\dfrac{21}{-7} = \\dfrac{8}{-2}$"],"explain":" \u00c1p d\u1ee5ng t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a ph\u00e2n s\u1ed1, ta c\u00f3: <br\/> $\\dfrac{4}{12} = \\dfrac{1.(4)}{3.(4)} = \\dfrac{1}{3}; \\qquad \\dfrac{-6}{-18} = \\dfrac{1.(-6)}{3.(-6)} = \\dfrac{1}{3} $ <br\/> Suy ra $\\dfrac{4}{12} = \\dfrac{-6}{-18}$ <br\/> $ \\dfrac{21}{-7} = -3; \\qquad \\dfrac{8}{-2} = -4 $<br\/> Suy ra $\\dfrac{21}{-7} \\neq \\dfrac{8}{-2} $ <\/span> <br\/> <br\/> <span class='basic_pink'> K\u1ebft qu\u1ea3 sai l\u00e0 B. <\/span><\/span> ","column":2}]}],"id_ques":15},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/2.jpg' \/><\/center> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{-2}{3}$ v\u00e0 $\\dfrac{1}{-2}$","select":[" A. $\\dfrac{-2}{3}$$ < \\dfrac{1}{-2}$"," B. $\\dfrac{-2}{3}$ $ > \\dfrac{1}{-2}$"," C. $\\dfrac{-2}{3}$ $ = \\dfrac{1}{-2}$"],"hint":"$\\dfrac{-2}{3} = \\dfrac{-2.2}{3.2} = \\dfrac{-4}{6} $ ","explain":" Ta c\u00f3: $\\dfrac{-2}{3} = \\dfrac{-2.2}{3.2} = \\dfrac{-4}{6} \\\\ \\dfrac{1}{-2} = \\dfrac{1.(-3)}{-2.(-3)} = \\dfrac{-3}{6} $<br\/> M\u00e0 $ \\dfrac{-4}{6} < \\dfrac{-3}{6} .$ <br\/> Suy ra $ \\dfrac{-2}{3} < \\dfrac{1}{-2}$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A <\/span><\/span> ","column":3}]}],"id_ques":16},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/2.jpg' \/><\/center> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{-17}{23}$ v\u00e0 $\\dfrac{-1717}{2323}$","select":[" A. $\\dfrac{-17}{23}$ $ >\\dfrac{-1717}{2323}$"," B. $\\dfrac{-17}{23}$ $ <\\dfrac{-1717}{2323}$"," C. $\\dfrac{-17}{23}$ $ =\\dfrac{-1717}{2323}$"],"explain":" Ta c\u00f3: $ \\dfrac{-17}{23} = \\dfrac{-17.101}{23.101} = \\dfrac{-1717}{2323} \\\\ \\Rightarrow \\dfrac{-17}{23} = \\dfrac{-1717}{2323}$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C<\/span> <br\/> <b> Ch\u00fa \u00fd:<\/b> Ph\u00e2n s\u1ed1 tu\u1ea7n ho\u00e0n c\u00f3 d\u1ea1ng $\\dfrac{ababaab...}{cdcdcd...},$ r\u00fat g\u1ecdn \u0111\u01b0\u1ee3c th\u00e0nh ph\u00e2n s\u1ed1 $\\dfrac{ab}{cd}.$ ","column":3}]}],"id_ques":17},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/2.jpg' \/><\/center> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{-17}{16}$ v\u00e0 $\\dfrac{-16}{17}$","select":[" A. $\\dfrac{-17}{16}$ $ >\\dfrac{-16}{17}$"," B. $\\dfrac{-17}{16}$ $ <\\dfrac{-16}{17}$"," C. $\\dfrac{-17}{16}$ $ =\\dfrac{-16}{17}$"],"hint":" So s\u00e1nh hai ph\u00e2n s\u1ed1 v\u1edbi $-1$","explain":"Ta c\u00f3: $ \\dfrac{17}{16} > 1 > \\dfrac{16}{17} $ <br\/> Suy ra $ \\dfrac{-17}{16} < - 1 < \\dfrac{-16}{17} $ hay $ \\dfrac{-17}{16} < \\dfrac{-16}{17}$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span><\/span> ","column":3}]}],"id_ques":18},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai1/lv1/img\/2.jpg' \/><\/center> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 $\\dfrac{-17}{243}$ v\u00e0 $\\dfrac{1}{1965}$","select":[" A. $\\dfrac{-17}{243}$ $ >\\dfrac{1}{1965}$"," B. $\\dfrac{-17}{243}$ $ <\\dfrac{1}{1965}$"," C. $\\dfrac{-17}{243}$ $ =\\dfrac{1}{1965}$"],"hint":" So s\u00e1nh hai ph\u00e2n s\u1ed1 v\u1edbi $0$","explain":" Ta c\u00f3: $ \\dfrac{-17}{243} < 0 < \\dfrac{1}{1965} $ <br\/> Suy ra $ \\dfrac{-17}{243} < \\dfrac{1}{1965}$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span><\/span> ","column":1}]}],"id_ques":19},{"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/bai1/lv1/img\/2.jpg' \/><\/center> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang? ","select":[" A. $ -0,5 = \\dfrac{-1}{-2}$ "," B. $ -0,5 = \\dfrac{-1}{2}$"," C. $ 0,5 = \\dfrac{-1}{2}$"],"hint":" $-0,5 = \\dfrac{-5}{10}$","explain":" Ta c\u00f3: $ -0,5 = \\dfrac{-5}{10} = \\dfrac{-1}{2} \\\\ 0,5 = \\dfrac{5}{10} = \\dfrac{1}{2} $ <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh B \u0111\u00fang, c\u00e1c kh\u1eb3ng \u0111\u1ecbnh A v\u00e0 C l\u00e0 sai <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span> ","column":3}]}],"id_ques":20}],"lesson":{"save":0,"level":1}}