{"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":[[["19"],["7"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/9.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 chia v\u00e0 th\u01b0\u01a1ng c\u1ee7a m\u1ed9t ph\u00e9p chia c\u00f3 s\u1ed1 b\u1ecb chia b\u1eb1ng 145, s\u1ed1 d\u01b0 l\u00e0 12. Bi\u1ebft th\u01b0\u01a1ng l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c 1 <br\/> V\u1eady s\u1ed1 chia l\u00e0: _input_ <br\/> Th\u01b0\u01a1ng l\u00e0: _input_ ","hint":"S\u1ed1 b\u1ecb chia = th\u01b0\u01a1ng . s\u1ed1 chia + s\u1ed1 d\u01b0 ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi x l\u00e0 s\u1ed1 chia, a l\u00e0 th\u01b0\u01a1ng <br\/> Theo b\u00e0i ra ta c\u00f3: 145 = a . x + 12 (1) <br\/> <b> B\u01b0\u1edbc 2: <\/b>Bi\u1ebfn \u0111\u1ed5i (1) v\u00e0 d\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m b\u1ed9i, \u01b0\u1edbc \u0111\u1ec3 t\u00ecm a v\u00e0 x <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi x l\u00e0 s\u1ed1 chia, a l\u00e0 th\u01b0\u01a1ng ($a, x \\in \\mathbb{N}$) <br\/> Theo b\u00e0i ra ta c\u00f3: 145 = a . x + 12 (x > 12; a $\\neq$ 1) <br\/> $\\begin{align*} \\Rightarrow & a. x = 145 - 12 \\\\ & a . x = 133 \\end{align*}$ <br\/> V\u00ec a $\\neq$ 1 n\u00ean a, x ch\u00ednh l\u00e0 hai \u01b0\u1edbc kh\u00e1c 1 c\u1ee7a 133 <br\/> Ta c\u00f3: 133 = 19 . 7 <br\/> N\u1ebfu th\u01b0\u01a1ng l\u00e0 19 $\\Rightarrow$ S\u1ed1 chia l\u00e0 7 (kh\u00f4ng th\u1ecfa m\u00e3n v\u00ec d\u01b0 l\u00e0 12) <br\/> N\u1ebfu th\u01b0\u01a1ng l\u00e0 7 $\\Rightarrow$ S\u1ed1 chia l\u00e0 19 (th\u1ecfa m\u00e3n) <br\/> Ph\u00e9p chia \u0111\u00f3 l\u00e0: 145 : 19 = 7 d\u01b0 12 <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: 19; 7 <\/span>"}]}],"id_ques":601},{"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":[[["2"],["5"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/10.jpg' \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean x, y bi\u1ebft: <br\/> $(2x + 1)(y - 3) = 10, (x > 1)$ <br\/> V\u1eady x = _input_; y = _input_ ","hint":"V\u00ec x, y l\u00e0 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean (2x + 1) v\u00e0 (y - 3) l\u00e0 \u01b0\u1edbc c\u1ee7a 10","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft 10 th\u00e0nh t\u00edch c\u1ee7a 2 s\u1ed1 t\u1ef1 nhi\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> Cho (2x + 1) v\u00e0 (y - 3) b\u1eb1ng c\u00e1c gi\u00e1 tr\u1ecb v\u1eeba vi\u1ebft \u1edf b\u01b0\u1edbc 1 t\u1eeb \u0111\u00f3 t\u00ecm x v\u00e0 y <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: 10 = 1 . 10 = 2 . 5 <br\/> V\u00ec x, y l\u00e0 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean (2x + 1) v\u00e0 (y - 3) l\u00e0 c\u00e1c \u01b0\u1edbc c\u1ee7a 10 v\u00e0 (2x + 1) l\u00e0 s\u1ed1 l\u1ebb n\u00ean: <br\/> Ho\u1eb7c $\\begin{cases} 2x + 1 = 1 \\Rightarrow x = 0 \\\\y - 3 = 10 \\Rightarrow y = 13 \\end{cases}$ (lo\u1ea1i v\u00ec x > 1) <br\/> Ho\u1eb7c $\\begin{cases} 2x + 1 = 5 \\Rightarrow x = 2 \\\\ y - 3 = 2 \\Rightarrow y = 5 \\end{cases}$ (th\u1ecfa m\u00e3n) <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: x = 2; y = 5 <\/span>"}]}],"id_ques":602},{"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":[[["2","5"],["12","0"],["5","2"],["0","12"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/10.jpg' \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean x, y bi\u1ebft: <br\/> $(2x - 3)(y + 2) = 14, (x > 1)$ <br\/> V\u1eady x = _input_; y = _input_ ho\u1eb7c x = _input_; y = _input_ ","hint":"V\u00ec x, y l\u00e0 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean (2x - 3) v\u00e0 (y + 2) l\u00e0 \u01b0\u1edbc c\u1ee7a 14","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft 14 th\u00e0nh t\u00edch c\u1ee7a 2 s\u1ed1 t\u1ef1 nhi\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> Cho (2x - 3) v\u00e0 (y + 2) b\u1eb1ng c\u00e1c gi\u00e1 tr\u1ecb v\u1eeba vi\u1ebft \u1edf b\u01b0\u1edbc 1 t\u1eeb \u0111\u00f3 t\u00ecm x v\u00e0 y <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: 14 = 1 . 14 = 2 . 7 <br\/> V\u00ec x, y l\u00e0 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean (2x - 3) v\u00e0 (y + 2) l\u00e0 c\u00e1c \u01b0\u1edbc c\u1ee7a 14 v\u00e0 (2x - 3) l\u00e0 s\u1ed1 l\u1ebb n\u00ean: <br\/> Ho\u1eb7c $\\begin{cases} 2x - 3 = 1 \\Rightarrow x = 2 \\\\y + 2 = 14 \\Rightarrow y = 12 \\end{cases}$ (th\u1ecfa m\u00e3n) <br\/> Ho\u1eb7c $\\begin{cases} 2x - 3 = 7 \\Rightarrow x = 5 \\\\ y + 2 = 2 \\Rightarrow y = 0 \\end{cases}$ (th\u1ecfa m\u00e3n) <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: x = 2; y = 12 ho\u1eb7c x = 5, y = 0 <\/span>"}]}],"id_ques":603},{"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":[[["24"],["25"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/4.jpg' \/><\/center> <br\/> H\u00e3y t\u00ecm hai s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp c\u00f3 t\u00edch l\u00e0 600 <br\/> V\u1eady s\u1ed1 b\u00e9 l\u00e0: _input_ <br\/> S\u1ed1 l\u1edbn l\u00e0 _input_ ","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Ph\u00e2n t\u00edch 600 ra t\u00edch c\u00e1c s\u1ed1 m\u00e0 ch\u1ec9 c\u00f3 \u01b0\u1edbc l\u00e0 1 v\u00e0 ch\u00ednh n\u00f3 (c\u00f2n g\u1ecdi l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1) <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m c\u00e1c th\u1eeba s\u1ed1 l\u1ea1i \u0111\u1ec3 \u0111\u01b0\u1ee3c t\u00edch hai s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align*} 600 &= 2 . 2 . 2 . 3 . 5 . 5 \\\\ &= 2^3 . 3 . 5^2 \\\\ &= (2^3 . 3) . 5^2 \\\\ &= (8 . 3) . 25 \\\\ &= 24 . 25 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: 24; 25 <\/span>"}]}],"id_ques":604},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["66"],["33"],["20"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/13.jpg' \/><\/center> <br\/> Ba l\u1edbp 6A, 6B, 6C chia nhau m\u1ed9t s\u1ed1 b\u00fat m\u00e1y \u0111\u1ef1ng trong 6 h\u1ed9p. S\u1ed1 b\u00fat \u0111\u1ef1ng trong m\u1ed7i h\u1ed9p nh\u01b0 sau: H\u1ed9p th\u1ee9 nh\u1ea5t 31 c\u00e1i, h\u1ed9p th\u1ee9 hai 20 c\u00e1i, h\u1ed9p th\u1ee9 ba 19 c\u00e1i, h\u1ed9p th\u1ee9 t\u01b0 18 c\u00e1i, h\u1ed9p th\u1ee9 n\u0103m 16 c\u00e1i, h\u1ed9p th\u1ee9 s\u00e1u 15 c\u00e1i. Hai l\u1edbp 6A v\u00e0 6B \u0111\u00e3 nh\u1eadn \u0111\u01b0\u1ee3c 5 h\u1ed9p v\u00e0 s\u1ed1 b\u00fat m\u00e1y m\u00e0 l\u1edbp 6A nh\u1eadn g\u1ea5p 2 l\u1ea7n s\u1ed1 b\u00fat m\u00e1y l\u1edbp 6B nh\u1eadn. H\u1ecfi m\u1ed7i l\u1edbp nh\u1eadn \u0111\u01b0\u1ee3c bao nhi\u00eau c\u00e1i b\u00fat m\u00e1y? <br\/> \u0110\u00e1p s\u1ed1: L\u1edbp 6A: _input_ c\u00e1i b\u00fat m\u00e1y <br\/> L\u1edbp 6B: _input_ c\u00e1i b\u00fat m\u00e1y <br\/> L\u1edbp 6C: _input_ c\u00e1i b\u00fat m\u00e1y ","hint":"V\u00ec s\u1ed1 b\u00fat c\u1ee7a l\u1edbp 6A nh\u1eadn g\u1ea5p 2 l\u1ea7n s\u1ed1 b\u00fat l\u1edbp 6B nh\u1eadn n\u00ean s\u1ed1 b\u00fat c\u1ee7a 2 l\u1edbp nh\u1eadn l\u00e0 b\u1ed9i c\u1ee7a 3","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh t\u1ed5ng s\u1ed1 b\u00fat trong 6 h\u1ed9p <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ecm s\u1ed1 b\u00fat c\u1ee7a l\u1edbp 6C nh\u1eadn \u0111\u01b0\u1ee3c <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm s\u1ed1 b\u00fat 2 l\u1edbp 6A v\u00e0 6B nh\u1eadn sau \u0111\u00f3 t\u00ecm s\u1ed1 b\u00fat c\u1ee7a t\u1eebng l\u1edbp nh\u1eadn \u0111\u01b0\u1ee3c d\u1ef1a v\u00e0o \u0111i\u1ec1u ki\u1ec7n b\u00e0i cho <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec s\u1ed1 b\u00fat c\u1ee7a l\u1edbp 6A nh\u1eadn g\u1ea5p \u0111\u00f4i s\u1ed1 b\u00fat c\u1ee7a l\u1edbp 6B nh\u1eadn n\u00ean t\u1ed5ng s\u1ed1 b\u00fat c\u1ee7a hai l\u1edbp nh\u1eadn \u0111\u01b0\u1ee3c l\u00e0 b\u1ed9i c\u1ee7a 3 <br\/> T\u1ed5ng s\u1ed1 b\u00fat trong 6 h\u1ed9p l\u00e0: <br\/> 31 + 20 + 19 + 18 + 16 + 15 = 119 (c\u00e1i b\u00fat) <br\/> V\u00ec 119 chia 3 d\u01b0 2 n\u00ean s\u1ed1 b\u00fat l\u1edbp 6C nh\u1eadn l\u00e0 s\u1ed1 chia 3 d\u01b0 2 <br\/> Trong c\u00e1c s\u1ed1 tr\u00ean ch\u1ec9 c\u00f3 20 chia 3 d\u01b0 2 <br\/> N\u00ean s\u1ed1 b\u00fat l\u1edbp 6C nh\u1eadn l\u00e0 20 <br\/> L\u1edbp 6A v\u00e0 l\u1edbp 6B nh\u1eadn \u0111\u01b0\u1ee3c s\u1ed1 b\u00fat l\u00e0: <br\/> 119 - 20 = 99 (c\u00e1i b\u00fat) <br\/> L\u1edbp 6B nh\u1eadn \u0111\u01b0\u1ee3c s\u1ed1 b\u00fat l\u00e0: <br\/> 99 : 3 = 33 (c\u00e1i b\u00fat) <br\/> L\u1edbp 6A nh\u1eadn \u0111\u01b0\u1ee3c s\u1ed1 b\u00fat m\u00e1y l\u00e0: <br\/> 99 - 33 = 66 (c\u00e1i b\u00fat) <br\/> V\u1eady l\u1edbp 6A: 66 c\u00e1i b\u00fat; 6B: 33 c\u00e1i b\u00fat; 6C: 20 c\u00e1i b\u00fat <br\/> <span class='basic_pink'> C\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 66; 33; 20 <\/span>"}]}],"id_ques":605},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/3.jpg' \/><\/center> ","select":["A. $128 \\in \u01af(2^{10})$ ","B. $28 \\in \u01af(3^6)$ ","C. $2^3 \\in \u01af(343^{12})$ "],"hint":"N\u1ebfu a $\\vdots$ b th\u00ec b l\u00e0 \u01b0\u1edbc c\u1ee7a a","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - Ta c\u00f3 128 = 2 . 2 . 2 . 2 . 2 . 2 . 2 = $2^7$ <br\/> $2^{10} : 2^7 = 2^{10 - 7} = 2^3$ $\\Rightarrow$ $2^{10}$ $\\vdots$ $2^7$ <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$128 \\in \u01af(2^{10})$'' l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> B - V\u00ec $28 = 2^2 . 7$ m\u00e0 $3^6$ $\\not \\vdots$ 2 $\\Rightarrow$ $3^6$ $\\not \\vdots$ 28 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$28 \\in \u01af(3^6)$'' l\u00e0 <b> SAI <\/b> <br\/> C - V\u00ec $343 = 7^3$ n\u00ean $343^{12} = (7^3)^{12} = 7^{36}$ <br\/> $7^{36} \\not \\vdots 2^3$ (v\u00ec 7 $\\not \\vdots$ 2) <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$2^3 \\in \u01af(343^{12})$'' l\u00e0 <b> SAI <\/b> <br\/> <span class='basic_pink'>\u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":3}]}],"id_ques":606},{"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":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/3.jpg' \/><\/center> ","select":["A. $10^{10} + 8 \\in B(9)$ ","B. $10^{10} - 8 \\in B(9)$ ","C. $125^3 \\in B(624)$ ","D. $5^7 \\in B(2)$ "],"hint":"N\u1ebfu a $\\vdots$ b th\u00ec a l\u00e0 b\u1ed9i c\u1ee7a b","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A - V\u00ec $10^{10}$ c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0 1 $\\Rightarrow$ $10^{10} + 8$ c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0 9 <br\/> $\\Rightarrow$ $(10^{10} + 8)$ $ \\vdots$ 9 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$10^{10} + 8 \\in B(9)$'' l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> B - V\u00ec $10^{10} - 8 = \\underbrace{100...0}_{10 \\text{ch\u1eef s\u1ed1 0}} - 8 =\\underbrace{99...9}_{9 \\text{ch\u1eef s\u1ed1 9}}2$ <br\/> $\\Rightarrow$ $(10^{10} - 8)$ $\\not \\vdots$ 9 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$10^{10} - 8 \\in B(9)$'' l\u00e0 <b> SAI <\/b> <br\/> C - V\u00ec 624 $\\vdots$ 2 m\u00e0 125 $\\not \\vdots$ 2 $\\Rightarrow$ $125^3$ $\\not \\vdots$ 624 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$125^3 \\in B(624)$'' l\u00e0 <b> SAI <\/b> <br\/> D - V\u00ec 5 $\\not \\vdots$ 7 n\u00ean $5^5$ $\\not \\vdots$ 7 <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh ''$5^7 \\in B(2)$'' l\u00e0 <b> SAI <\/b> <br\/> <span class='basic_pink'>\u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":607},{"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":[[["615"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/11.jpg' \/><\/center> <br\/> M\u1ed9t \u0111\u01a1n v\u1ecb b\u1ed9 \u0111\u1ed9i khi x\u1ebfp th\u00e0nh 20; 25 hay 30 h\u00e0ng \u0111\u1ec1u d\u01b0 15 ng\u01b0\u1eddi nh\u01b0ng x\u1ebfp h\u00e0ng 41 th\u00ec v\u1eeba \u0111\u1ee7. T\u00ednh s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u01a1n v\u1ecb \u0111\u00f3 bi\u1ebft s\u1ed1 ng\u01b0\u1eddi ch\u01b0a \u0111\u1ebfn 1000. <br\/> \u0110\u00e1p s\u1ed1: _input_ ng\u01b0\u1eddi ","hint":"N\u1ebfu g\u1ecdi s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u01a1n v\u1ecb l\u00e0 a th\u00ec a - 15 l\u00e0 b\u1ed9i c\u1ee7a 20; 25; 30 v\u00e0 a $\\vdots$ 41 <br\/> D\u1ef1a v\u00e0o c\u00e1c \u0111i\u1ec1u ki\u1ec7n tr\u00ean \u0111\u1ec3 t\u00ecm a.","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u01a1n v\u1ecb khi x\u1ebfp h\u00e0ng 20; 25 hay h\u00e0ng 30 \u0111\u1ec1u d\u01b0 15 ng\u01b0\u1eddi <br\/> N\u00ean n\u1ebfu g\u1ecdi s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u01a1n v\u1ecb l\u00e0 a (15 < a < 1000) th\u00ec a - 15 l\u00e0 b\u1ed9i c\u1ee7a 20; 25; 30 <br\/> $\\Rightarrow$ (a - 15) $\\vdots$ 20; (a - 15) $\\vdots$ 25; (a - 15) $\\vdots$ 30 <br\/> S\u1ed1 nh\u1ecf nh\u1ea5t (kh\u00e1c 0) chia h\u1ebft cho 20; 25; 30 l\u00e0 300 <br\/> $\\Rightarrow$ (a - 15) $\\in$ {300; 600; 900;...} <br\/> $\\Rightarrow$ a $\\in$ {315; 615; 915; ...} <br\/> Do khi x\u1ebfp h\u00e0ng 41 th\u00ec v\u1eeba h\u1ebft n\u00ean a $\\vdots$ 41 <br\/> Trong c\u00e1c s\u1ed1 tr\u00ean c\u00f3: 615 $\\vdots$ 41 <br\/> V\u1eady s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u01a1n v\u1ecb l\u00e0 615 ng\u01b0\u1eddi <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 615 <\/span>"}]}],"id_ques":608},{"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":[[["24"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/11.jpg' \/><\/center> <br\/> \u0110\u1ed9i v\u0103n ngh\u1ec7 c\u1ee7a tr\u01b0\u1eddng c\u00f3 48 nam v\u00e0 72 n\u1eef. Mu\u1ed1n ph\u1ee5c v\u1ee5 t\u1ea1i nhi\u1ec1u \u0111\u1ecba \u0111i\u1ec3m \u0111\u1ed9i d\u1ef1 \u0111\u1ecbnh chia th\u00e0nh c\u00e1c t\u1ed5 g\u1ed3m c\u1ea3 nam v\u00e0 n\u1eef, s\u1ed1 nam v\u00e0 n\u1eef \u0111\u01b0\u1ee3c chia \u0111\u1ec1u v\u00e0o c\u00e1c t\u1ed5. H\u1ecfi c\u00f3 th\u1ec3 chia nhi\u1ec1u nh\u1ea5t bao nhi\u00eau t\u1ed5? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ t\u1ed5","hint":"N\u1ebfu s\u1ed1 t\u1ed5 l\u00e0 a, v\u00ec s\u1ed1 nam v\u00e0 s\u1ed1 n\u1eef chia \u0111\u1ec1u v\u00e0o c\u00e1c t\u1ed5 n\u00ean 48 $\\vdots$ a v\u00e0 72 $\\vdots$ a d\u1ef1a v\u00e0o \u0111\u00f3 ta t\u00ecm a ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm t\u1eadp c\u00e1c \u01b0\u1edbc c\u1ee7a 48 v\u00e0 t\u1eadp c\u00e1c \u01b0\u1edbc c\u1ee7a 72 <br\/> <b> B\u01b0\u1edbc 2: <\/b> S\u1ed1 a c\u1ea7n t\u00ecm ch\u00ednh l\u00e0 \u01b0\u1edbc l\u1edbn nh\u1ea5t trong c\u00e1c \u01b0\u1edbc chung c\u1ee7a 48 v\u00e0 72 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 t\u1ed5 l\u00e0 a <br\/> V\u00ec c\u00f3 48 nam v\u00e0 72 n\u1eef \u0111\u01b0\u1ee3c chia \u0111\u1ec1u v\u00e0o c\u00e1c t\u1ed5 n\u00ean 48 $\\vdots$ a v\u00e0 72 $\\vdots$ a <br\/> Ta c\u00f3: \u01af(48) = {1; 2; 3; 4; 6; 8; 12; 16; 24; 48} <br\/> \u01af(72) = {1; 2; 3; 4; 6; 8; 9; 12; 18; 24; 36; 72} <br\/> 72 v\u00e0 48 c\u00f3 c\u00e1c \u01b0\u1edbc chung l\u00e0: {1; 2; 3; 4; 6; 8; 12; 24} <br\/> V\u00ec a l\u00e0 s\u1ed1 t\u1ed5 nhi\u1ec1u nh\u1ea5t c\u00f3 th\u1ec3 chia \u0111\u01b0\u1ee3c n\u00ean a l\u00e0 \u01b0\u1edbc l\u1edbn nh\u1ea5t trong c\u00e1c \u01b0\u1edbc chung \u1edf tr\u00ean. <br\/> V\u1eady a = 24 hay s\u1ed1 t\u1ed5 nhi\u1ec1u nh\u1ea5t c\u00f3 th\u1ec3 chia \u0111\u01b0\u1ee3c l\u00e0 24 t\u1ed5<br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 24 <\/span>"}]}],"id_ques":609},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["13"],["15"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai12/lv3/img\/2.jpg' \/><\/center> <br\/> T\u00ecm x bi\u1ebft x $\\in \u01af(135135)$ bi\u1ebft 11 < x < 20 <br\/> \u0110\u00e1p \u00e1n l\u00e0: x = _input_ ; x = _input_ ","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3:<br\/> 135135 c\u00f3 c\u00e1c \u01b0\u1edbc l\u00e0: 1; 3; 5; 7; 9; 11; 13; 15; 21; 35;... <br\/> C\u00e1c \u01b0\u1edbc l\u1edbn h\u01a1n 11 v\u00e0 nh\u1ecf h\u01a1n 20 l\u00e0: 13; 15 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 13; 15 <\/span>"}]}],"id_ques":610}],"lesson":{"save":0,"level":3}}