Ước chung và bội chung

Home Lớp 6 Toán lớp 6 - Sách kết nối tri thức Ước chung và bội chungBài tập nâng cao

{"common":{"save":0,"post_id":"745","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"701","post_id":"745","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"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":[[["5"]]],"list":[{"point":10,"width":60,"content":"","type_input":"","ques":"<center><img src='img\/13.jpg' \/><\/center> <br\/> Lan v\u00e0 Hu\u1ec7 m\u1ed7i ng\u01b0\u1eddi mua m\u1ed9t s\u1ed1 b\u00fat ch\u00ec m\u00e0u. Trong m\u1ed7i h\u1ed9p \u0111\u1ec1u c\u00f3 t\u1eeb hai b\u00fat ch\u00ec tr\u1edf l\u00ean v\u00e0 s\u1ed1 b\u00fat \u1edf c\u00e1c h\u1ed9p \u0111\u1ec1u b\u1eb1ng nhau. T\u00ednh ra Lan mua 20 b\u00fat, Hu\u1ec7 mua 15 b\u00fat. H\u1ecfi m\u1ed7i h\u1ed9p b\u00fat ch\u00ec m\u00e0u c\u00f3 bao nhi\u00eau chi\u1ebfc? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ chi\u1ebfc b\u00fat ch\u00ec m\u00e0u ","hint":"s\u1ed1 b\u00fat \u1edf m\u1ed7i h\u1ed9p l\u00e0 \u01b0\u1edbc c\u1ee7a 15 v\u00e0 l\u00e0 \u01b0\u1edbc c\u1ee7a 20","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> N\u1ebfu s\u1ed1 b\u00fat \u1edf m\u1ed7i h\u1ed9p l\u00e0 a chi\u1ebfc <br\/> Ta c\u00f3: 20 $\\vdots$ a v\u00e0 15 $\\vdots$ a <br\/> B\u01b0\u1edbc 2: <\/b> V\u00ec 20 $\\vdots$ a v\u00e0 15 $\\vdots$ a n\u00ean s\u1ed1 b\u00fat ch\u00ec \u1edf m\u1ed7i h\u1ed9p l\u00e0 \u01afC(15; 20) <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span><br\/>G\u1ecdi s\u1ed1 b\u00fat ch\u00ec \u1edf m\u1ed7i h\u1ed9p l\u00e0 a chi\u1ebfc $(a \\geq 2 )$ <br\/> V\u00e0 s\u1ed1 b\u00fat ch\u00ec m\u00e0u trong m\u1ed7i h\u1ed9p l\u00e0 nh\u01b0 nhau <br\/> V\u00ec Lan mua 20 b\u00fat ch\u00ec n\u00ean 20 $\\vdots$ a <br\/> Hu\u1ec7 mua 15 b\u00fat ch\u00ec n\u00ean: 15 $\\vdots$ a <br\/> S\u1ed1 b\u00fat ch\u00ec \u1edf m\u1ed7i h\u1ed9p l\u00e0 \u01b0\u1edbc chung c\u1ee7a 15 v\u00e0 20 <br\/> 15 c\u00f3 c\u00e1c \u01b0\u1edbc l\u00e0: 1; 15; 3; 5 <br\/> 20 c\u00f3 c\u00e1c \u01b0\u1edbc l\u00e0: 1; 2; 4; 5; 10; 20 <br\/> \u01afC(15; 20) = {1; 5} $\\Rightarrow$ a = 5 (v\u00ec $a \\geq 2$) <br\/> V\u1eady s\u1ed1 b\u00fat ch\u00ec \u1edf m\u1ed7i h\u1ed9p l\u00e0 5 chi\u1ebfc b\u00fat ch\u00ec m\u00e0u <br\/> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 5 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:45"},{"id":"702","post_id":"745","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"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":[[["890"]]],"list":[{"point":10,"width":60,"content":"","type_input":"","ques":"<center><img src='img\/9.jpg' \/><\/center> <br\/> C\u00f3 m\u1ed9t s\u1ed1 cu\u1ed1n s\u00e1ch gi\u00e1o khoa. N\u1ebfu x\u1ebfp th\u00e0nh t\u1eebng ch\u1ed3ng 10 cu\u1ed1n th\u00ec v\u1eeba h\u1ebft, x\u1ebfp th\u00e0nh t\u1eebng ch\u1ed3ng 12 cu\u1ed1n th\u00ec th\u1eeba 2 cu\u1ed1n, x\u1ebfp th\u00e0nh t\u1eebng ch\u1ed3ng 18 cu\u1ed1n th\u00ec th\u1eeba 8 cu\u1ed1n. H\u00e3y t\u00ecm s\u1ed1 s\u00e1ch \u0111\u00f3 bi\u1ebft s\u1ed1 s\u00e1ch trong kho\u1ea3ng t\u1eeb 715 \u0111\u1ebfn 1000 cu\u1ed1n. <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ cu\u1ed1n s\u00e1ch ","hint":"S\u1ed1 s\u00e1ch c\u1ea7n t\u00ecm l\u00e0 b\u1ed9i c\u1ee7a 10, n\u1ebfu b\u1edbt \u0111i 2 th\u00ec l\u00e0 b\u1ed9i c\u1ee7a 12 v\u00e0 n\u1ebfu b\u1edbt \u0111i 8 th\u00ec l\u00e0 b\u1ed9i c\u1ee7a 18","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> G\u1ecdi s\u1ed1 s\u00e1ch l\u00e0 a (715 < a < 1000) <br\/> Ta c\u00f3: a $\\vdots$ 10; (a - 2) $\\vdots$ 12 v\u00e0 (a - 8) $\\vdots$ 18 <br\/> B\u01b0\u1edbc 2: <\/b> Ta \u0111i t\u00ecm s\u1ed1 a \u0111\u1ed3ng th\u1eddi th\u1ecfa m\u00e3n c\u00e1c \u0111i\u1ec1u ki\u1ec7n tr\u00ean <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 s\u00e1ch c\u1ea7n t\u00ecm l\u00e0 a (715 < a < 1000) <br\/> V\u00ec n\u1ebfu x\u1ebfp th\u00e0nh t\u1eebng ch\u1ed3ng 10 cu\u1ed1n th\u00ec v\u1eeba h\u1ebft n\u00ean a $\\vdots$ 10 (1) <br\/> X\u1ebfp t\u1eebng ch\u1ed3ng 12 cu\u1ed1n th\u00ec th\u1eeba 2 cu\u1ed1n n\u00ean (a - 2) $\\vdots$ 12 <br\/> $\\Rightarrow$ (a + 10) $\\vdots$ 12 (2) <br\/> X\u1ebfp t\u1eebng ch\u1ed3ng 18 cu\u1ed1n th\u00ec th\u1eeba 8 cu\u1ed1n n\u00ean (a - 8) $\\vdots$ 18 <br\/> $\\Rightarrow$ (a + 10) $\\vdots$ 18 (3) <br\/> T\u1eeb (1), (2), (3) $\\Rightarrow$ (a + 10) $\\in$ BC(10, 12, 18) <br\/> BC(10, 12, 18) = {180; 360; 540; 720; 900;...} <br\/> V\u00ec s\u1ed1 s\u00e1ch trong kho\u1ea3ng t\u1eeb 715 \u0111\u1ebfn 1000 cu\u1ed1n n\u00ean a + 10 = 900 $\\Rightarrow$ a = 890 <br\/> V\u1eady s\u1ed1 s\u00e1ch c\u1ea7n t\u00ecm l\u00e0 890 cu\u1ed1n s\u00e1ch<br\/> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 890 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:45"},{"id":"703","post_id":"745","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"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":[[["1"],["2"],["3"],["6"]]],"list":[{"point":10,"width":60,"content":"","type_input":"","ques":"<center><img src='img\/4.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean n bi\u1ebft (n + 6) $\\vdots$ n <br\/> \u0110\u00e1p \u00e1n l\u00e0: n $\\in$ {_input_; _input_; _input_: _input_} ","hint":"","explain":"B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: V\u00ec n $\\vdots$ n <br\/> N\u00ean \u0111\u1ec3 (n + 6) $\\vdots$ n $\\Rightarrow$ 6 $\\vdots$ n <br\/> $\\Rightarrow$ n $\\in$ \u01af(6) = {1; 2; 3; 6} <br\/> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1; 2; 3; 6 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:45"}]}