{"common":{"save":0,"post_id":"748","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5778","post_id":"748","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["60606"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"img\/2.jpg\" \/><\/center> <br\/> \u01afCLN(121212; 181818) = _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 121212; 181818 ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ch\u1ecdn th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung <br\/> <b> B\u01b0\u1edbc 3: <\/b> L\u1eadp t\u00edch c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung, m\u1ed7i th\u1eeba s\u1ed1 l\u1ea5y v\u1edbi s\u1ed1 m\u0169 nh\u1ecf nh\u1ea5t <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $121212 = 2^2 . 3^2 . 7 . 13 . 37$ <br\/> $181818 = 2 . 3^3 . 7 . 13 . 37$ <br\/> Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung l\u00e0: 2; 3; 7; 13; 37 <br\/> $\\Rightarrow$ \u01afCLN(121212; 181818) = $2 . 3^2 . 7 . 13 . 37 = 60606$ <br\/> <span class=\"basic_pink\"> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 60606<\/span>"}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:46"},{"id":"5779","post_id":"748","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["12"],["36"],["84"],["60"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"img\/4.jpg\" \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b (a < b) bi\u1ebft a + b = 96; \u01afCLN(a, b) = 12. V\u1eady: <br\/> <table><tr><th>a<\/th><th>_input_<\/th><th>_input_<\/th><\/tr><tr><td>b<\/td><td>_input_<\/td><td>_input_<\/td><\/tr><\/table>","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec \u01afCLN(a, b) = 12 n\u00ean a = 12m; b = 12n ($m , n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < b n\u00ean m < n <br\/> Ta \u0111i t\u00ecm m, n sao cho 12m + 12n = 96 <br\/> Sau \u0111\u00f3 thay ng\u01b0\u1ee3c tr\u1edf l\u1ea1i \u0111\u1ec3 t\u00ecm a, b <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u00ec \u01afCLN(a , b) = 12 n\u00ean a = 12m; b = 12n ($m, n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < b n\u00ean m < n <br\/> Theo b\u00e0i ra: a + b = 96 $\\Rightarrow$ 12m + 12n = 96 <br\/> $\\Rightarrow$ m + n = 8 <br\/> V\u00ec m < n v\u00e0 (m, n) = 1 n\u00ean: <br\/> <table><tr><th>m<\/th><th>1<\/th><th>3<\/th><\/tr><tr><td>n<\/td><td>7<\/td><td>5<\/td><\/tr><\/table> <br\/> $\\Rightarrow$ <table><tr><th>a<\/th><th>12<\/th><th>36<\/th><\/tr><tr><td>b<\/td><td>84<\/td><td>60<\/td><\/tr><\/table> <br\/> <span class=\"basic_pink\"> V\u1eady a = 12; b = 84 v\u00e0 a = 36; b = 60<\/span> "}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:46"},{"id":"5780","post_id":"748","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["112"],["16"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"img\/10.jpg\" \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b bi\u1ebft a - b = 96; \u01afCLN(a, b) = 16 (a < 150). <br\/> V\u1eady: a = _input_; b = _input_","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec \u01afCLN(a, b) = 16 n\u00ean a = 16m; b = 16n ($m , n \\in \\mathbb{N}$); (m, n) = 1 <br\/> Ta \u0111i t\u00ecm m, n sao cho 16m - 16n = 96 v\u00e0 16m < 150 <br\/> Sau \u0111\u00f3 thay ng\u01b0\u1ee3c tr\u1edf l\u1ea1i \u0111\u1ec3 t\u00ecm a, b <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u00ec \u01afCLN(a , b) = 16 n\u00ean a = 16m; b = 16n ($m, n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < 150 m\u00e0 b < a $\\Rightarrow$ b < 150 $\\Rightarrow$ 16m < 150; 16n < 150 <br\/> $\\Rightarrow$ n < m $\\leq$ 9 <br\/> Theo b\u00e0i ra: a - b = 96 $\\Rightarrow$ 16m - 16n = 96 <br\/> $\\Rightarrow$ m - n = 6 <br\/> V\u00ec n < m v\u00e0 (m, n) = 1 ta c\u00f3: <br\/> <table><tr><th>m<\/th><th>9 (lo\u1ea1i v\u00ec (m, n) = 1)<\/th><th>8 (lo\u1ea1i v\u00ec (m, n) = 1 )<\/th><th>7<\/th><\/tr><tr><td>n<\/td><td>3<\/td><td>2<\/td><td>1<\/td><\/tr><\/table> <br\/> V\u1edbi m = 7, n = 1 $\\Rightarrow$ a = 16 . 7 = 112 ; b = 16 . 1 = 16 <br\/> <span class=\"basic_pink\"> V\u1eady a = 112; b = 16<\/span> "}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:46"}]}