{"segment":[{"part":[{"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/kiemtra1/lv3/img\/1.png' \/><\/center> <br\/> Cho t\u1eadp X = {1; 2; 5; 6; a} <br\/> H\u00e3y ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang?","select":["A. $2 \\in X$","B. {5} $\\in X$ ","C. {a} $ \\in X$","D. $ 7 \\in X$ "],"hint":" X\u00e9t t\u1eebng \u0111\u00e1p \u00e1n","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> X\u00e9t t\u1eebng \u0111\u00e1p \u00e1n <br\/> Kh\u00f4ng c\u00f3 kh\u00e1i ni\u1ec7m t\u1eadp h\u1ee3p thu\u1ed9c t\u1eadp h\u1ee3p m\u00e0 ch\u1ec9 c\u00f3 kh\u1ea3i ni\u1ec7m ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - V\u00ec ph\u1ea7n t\u1eed 2 n\u1eb1m trong t\u1eadp h\u1ee3p X n\u00ean k\u00ed hi\u1ec7u $2 \\in X$ l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> B - V\u00ec 5 n\u1eb1m trong t\u1eadp h\u1ee3p X n\u00ean $5 \\in X$ nh\u01b0ng vi\u1ebft {5} $\\in X$ l\u00e0 <b> SAI <\/b> <br\/> C - V\u00ec a n\u1eb1m trong t\u1eadp h\u1ee3p X n\u00ean $a \\in X$ nh\u01b0ng vi\u1ebft {a} $\\in X$ l\u00e0 <b> SAI <\/b> <br\/> D - V\u00ec 7 kh\u00f4ng n\u1eb1m trong t\u1eadp h\u1ee3p X n\u00ean kh\u1eb3ng \u0111\u1ecbnh $7 \\in X$ l\u00e0 <b> SAI <\/b> <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}],"id_ques":401},{"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/kiemtra1/lv3/img\/1.png' \/><\/center> <br\/> Cho t\u1eadp X = {b; 3; 6; 9} <br\/> H\u00e3y ch\u1ecdn t\u1eadp h\u1ee3p n\u00e0o l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p X?","select":["A. {3; 5}","B. {b; 3} ","C. {6; 10}","D. {9; 2} "],"hint":"T\u1eadp h\u1ee3p A l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p B n\u1ebfu m\u1ecdi ph\u1ea7n t\u1eed c\u1ee7a A \u0111\u1ec1u thu\u1ed9c B ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span> <br\/>T\u1eadp h\u1ee3p A l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p B n\u1ebfu m\u1ecdi ph\u1ea7n t\u1eed c\u1ee7a A \u0111\u1ec1u thu\u1ed9c B <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - V\u00ec $3 \\in X$ nh\u01b0ng $5 \\notin X$ n\u00ean {3; 5} kh\u00f4ng ph\u1ea3i l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p X <br\/> B - V\u00ec $b \\in X$ v\u00e0 3 $\\in X$ n\u00ean {b; 3} l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p X <br\/> C - V\u00ec 6 $\\in X$ v\u00e0 10 $\\notin X$ n\u00ean {6; 10} kh\u00f4ng ph\u1ea3i l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p X <br\/> D - V\u00ec $9 \\in X$ v\u00e0 $2 \\notin X$ n\u00ean {9; 2} kh\u00f4ng ph\u1ea3i t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p X <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}],"id_ques":402},{"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/kiemtra1/lv3/img\/7.jpg' \/><\/center> <br\/> $132 - [116 - (132 - 128)^2]$ = ?","select":["A. 232","B. 24","C. 240","D. 32"],"hint":" T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c tr\u00ean theo th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> TH\u1ee8 T\u1ef0 TH\u1ef0C HI\u1ec6N C\u00c1C PH\u00c9P T\u00cdNH: <\/b> <br\/> 1. Th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh \u0111\u1ed1i v\u1edbi bi\u1ec3u th\u1ee9c kh\u00f4ng c\u00f3 d\u1ea5u ngo\u1eb7c: <br\/> L\u0169y th\u1eeba -> Nh\u00e2n v\u00e0 chia -> C\u1ed9ng v\u00e0 tr\u1eeb <br\/> 2. Th\u1ee9 t\u1ef1 th\u1ef1a hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh \u0111\u1ed1i v\u1edbi bi\u1ec3u th\u1ee9c c\u00f3 d\u1ea5u ngo\u1eb7c: <br\/> () -> [] -> {} <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & 132 - [116 - (132 - 128)^2] \\\\ =& 132 - [116 - 4^2] \\\\ =& 132 - [116 - 16] \\\\ =& 132 - 100 \\\\ =& 32 \\end{align*}$ <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}],"id_ques":403},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["49"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"T\u00ednh. <br\/> $7^{125} : 7^{123}$ = _input_ ","hint":"Khi chia hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 ta gi\u1eef nguy\u00ean c\u01a1 s\u1ed1 v\u00e0 tr\u1eeb c\u00e1c s\u1ed1 m\u0169 v\u1edbi nhau","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Khi chia hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 ta gi\u1eef nguy\u00ean c\u01a1 s\u1ed1 v\u00e0 tr\u1eeb c\u00e1c s\u1ed1 m\u0169 v\u1edbi nhau <br\/> $a^m : a^n = a^{m - n}$ $(a \\neq 0; m, n \\in \\mathbb{N})$<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $7^{125} : 7^{123} = 7^{125 - 123} = 7^2 = 49$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 49 <\/span>"}],"id_ques":404},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" Cho hai t\u1eadp h\u1ee3p: A = {3; 4}; B = {2; 6} <br\/> T\u1eadp h\u1ee3p C g\u1ed3m c\u00e1c ph\u1ea7n t\u1eed m\u00e0 m\u1ed7i ph\u1ea7n t\u1eed l\u00e0 t\u1ed5ng c\u1ee7a m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c B l\u00e0:","select":["A. C = {5; 10; 7; 8}","B. C = {9; 5; 6; 8}","C. C = {5; 9; 6; 10}","D. C = {5; 10; 4; 8}"],"hint":" L\u1ea5y m\u1ed7i ph\u1ea7n t\u1eed thu\u1ed9c A c\u1ed9ng l\u1ea7n l\u01b0\u1ee3t v\u1edbi t\u1eebng ph\u1ea7n t\u1eed thu\u1ed9c B","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> L\u1ea5y m\u1ed7i ph\u1ea7n t\u1eed thu\u1ed9c A c\u1ed9ng l\u1ea7n l\u01b0\u1ee3t v\u1edbi t\u1eebng ph\u1ea7n t\u1eed thu\u1ed9c B <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/>T\u1eadp h\u1ee3p C g\u1ed3m c\u00e1c ph\u1ea7n t\u1eed m\u00e0 m\u1ed7i ph\u1ea7n t\u1eed l\u00e0 t\u1ed5ng c\u1ee7a m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c B l\u00e0: <br\/> 3 + 2 = 5 <br\/> 3 + 6 = 9 <br\/> 4 + 2 = 6 <br\/> 4 + 6 = 10 <br\/> V\u1eady C = {5; 9; 6; 10} <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}],"id_ques":405},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","f","t"]],"list":[{"point":10,"image":"","col_name":["C\u00e2u h\u1ecfi:","\u0110\u00fang","Sai"],"arr_ques":[" $12^6 : 12^2 = 12^3 $ "," $ 8^3 = 24 $ "," $ 5^2 . 5^3 = 5^5 $ "],"hint":"\u00c1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c: $a^m : a^n = a^{m - n}$ v\u00e0 $a^m . a^n = a^{m . n}$","explain":["$ 12^6 : 12^2 = 12^3 $ (SAI). V\u00ec $ 12^6 : 12^2 = 12^{6 - 2} = 12^4 $","<br\/> $ 8^3 = 24$ (SAI). V\u00ec $8^3 = 8 . 8 . 8 = 512$ ","<br\/> $5^2 . 5^3 = 5^5$ (\u0110\u00daNG). V\u00ec $ 5^2 . 5^3 = 5^{2 + 3} = 5^5$ "]}],"id_ques":406},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2400"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"T\u00ednh nhanh: <br\/> 2 . 31 . 12 + 4 . 6 . 42 + 8 . 27 . 3 = _input_","hint":"\u00c1p d\u1ee5ng t\u00edch ch\u1ea5t giao ho\u00e1n c\u1ee7a ph\u00e9p nh\u00e2n nh\u00e2n c\u00e1c th\u1eeba s\u1ed1 l\u1ea1i \u0111\u1ec3 xu\u1ea5t hi\u1ec7n nh\u00e2n t\u1eed chung","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u00c1p d\u1ee5ng t\u00edch ch\u1ea5t giao ho\u00e1n c\u1ee7a ph\u00e9p nh\u00e2n nh\u00e2n c\u00e1c th\u1eeba s\u1ed1 l\u1ea1i \u0111\u1ec3 xu\u1ea5t hi\u1ec7n nh\u00e2n t\u1eed chung <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m nh\u00e2n t\u1eed chung ra ngo\u00e0i ngo\u1eb7c <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*} & 2 . 31 . 12 + 4 . 6 . 42 + 8 . 27 . 3 \\\\ =& (2 . 12) . 31 + (4 . 6) . 42 + (8 . 3) . 27 \\\\ =& 24 . 31 + 24 . 42 + 24 . 27 \\\\ =& 24 . (31 + 42 + 27) \\\\ =& 24 . 100 \\\\ =& 2400 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2400 <\/span>"}],"id_ques":407},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" Th\u01b0\u01a1ng c\u1ee7a $18^{12} . 7^{12} : (18^2 . 7^5)$ \u0111\u01b0\u1ee3c vi\u1ebft g\u1ecdn d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba l\u00e0: ","select":["A. $18^{6} . 7^{12}$","B. $18^{6} . 7^{7}$","C. $18^{10} . 7^{2}$","D. $18^{10} . 7^{7}$"],"hint":" Chia c\u00e1c l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 v\u1edbi nhau","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b>L\u1ea5y $(18^{12} : 18^2) . (7^{12} : 7^5)$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Th\u1ef1c hi\u1ec7n chia hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 <br\/> $a^m : a^n = a^{m - n}$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> $\\begin{align*} & 18^{12} . 7^{12} : (18^2 . 7^5) \\\\ =& (18^{12} : 18^2) . (7^{12} : 7^5) \\\\ =& 18^{12 - 2} . 7^{12 - 5} \\\\ =& 18^{10} . 7^7 \\end{align*}$ <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}],"id_ques":408},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["99"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"T\u00ecm x bi\u1ebft: <br\/> $[161 + (153 - x)] . 18 = 3870$ <br\/> V\u1eady x = _input_","hint":"Bi\u1ebfn \u0111\u1ed5i l\u1ea7n l\u01b0\u1ee3t t\u1eeb ngo\u00e0i ngo\u1eb7c v\u00e0o trong","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Coi bi\u1ec3u th\u1ee9c trong ngo\u1eb7c [] l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft ta l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi (153 - x) l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 3: <\/b> x l\u00e0 s\u1ed1 tr\u1eeb ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 tr\u1eeb ta l\u1ea5y s\u1ed1 b\u1ecb tr\u1eeb tr\u1eeb hi\u1ec7u <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*} [161 + (153 - x)] . 18 &= 3870 \\\\ 161 + (153 - x) &= 3870 : 18 \\\\ 161 + (153 - x) &= 215 \\\\ 153 - x &= 215 - 161 \\\\ 153 - x &= 54 \\\\ x &= 153 - 54 \\\\ x &= 99 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 99 <\/span>"}],"id_ques":409},{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"T\u00ecm n bi\u1ebft: <br\/> $6^{2n} = 1296$ <br\/> V\u1eady n = _input_","hint":"Bi\u1ebfn \u0111\u1ed5i VP v\u1ec1 d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 6 r\u1ed3i cho 2 s\u1ed1 m\u0169 b\u1eb1ng nhau \u0111\u1ec3 t\u00ecm n ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Bi\u1ebfn \u0111\u1ed5i 1296 v\u1ec1 d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 6 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Cho hai s\u1ed1 m\u0169 b\u1eb1ng nhau \u0111\u1ec3 t\u00ecm n <br\/> $a^m = a^n$ $(a \\neq 0, 1)$ khi v\u00e0 ch\u1ec9 khi m = n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*} 6^{2n} &= 1296 \\\\ 6^{2n} &= 6 . 6 . 6 . 6 \\\\ 6^{2n} &= 6^4 \\end{align*}$ <br\/> V\u00ec $6^{2n} = 6^4$ n\u00ean 2n = 4 <br\/> V\u1eady n = 2 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2 <\/span>"}],"id_ques":410}],"id_ques":0}],"lesson":{"save":1,"level":3,"time":44}}