Dấu hiệu chia hết cho 3, cho 9

Home Lớp 6 Toán lớp 6 - Sách kết nối tri thức Dấu hiệu chia hết cho 3, cho 9Bài tập nâng cao

{"common":{"save":0,"post_id":"736","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"551","post_id":"736","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[["3"]],"list":[{"point":10,"ques":" <center><img src='img\/4.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn ph\u00e9p t\u00ednh n\u00e0o c\u00f3 k\u1ebft qu\u1ea3 l\u00e0 s\u1ed1 kh\u00f4ng chia h\u1ebft cho 3","select":["A. $729^{927} + 927^{729}$","B. $381^{2002} + 18^{2002}$","C. $49^{115} + 3^{2016}$","D. $81^{421} + 9342$"],"hint":"D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng ta x\u00e9t t\u1eebng s\u1ed1 h\u1ea1ng","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> N\u1ebfu trong t\u1ed5ng c\u00f3 m\u1ed9t s\u1ed1 h\u1ea1ng kh\u00f4ng chia h\u1ebft cho m\u1ed9t s\u1ed1 c\u00f2n c\u00e1c s\u1ed1 h\u1ea1ng c\u00f2n l\u1ea1i \u0111\u1ec1u chia h\u1ebft cho s\u1ed1 \u0111\u00f3 th\u00ec t\u1ed5ng chia h\u1ebft cho s\u1ed1 \u0111\u00f3 <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/> A - S\u1ed1 729 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 7 + 2 + 9 = 18 <br\/> V\u00ec 18 $\\vdots$ 3 $\\Rightarrow$ 729 $\\vdots$ 3 $\\Rightarrow$ $729^{927}$ $\\vdots$ 3 <br\/> S\u1ed1 927 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 9 + 2 + 7 = 18 <br\/> V\u00ec 18 $\\vdots$ 3 $\\Rightarrow$ 927 $\\vdots$ 3 $\\Rightarrow$ $927^{729}$ $\\vdots$ 3 <br\/> $\\Rightarrow$ $(729^{927} + 927^{729})$ $ \\vdots$ 3 <br\/> B - S\u1ed1 381 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 3 + 8 + 1 = 12 <br\/> V\u00ec 12 $\\vdots$ 3 $\\Rightarrow$ 381 $\\vdots$ 3 $\\Rightarrow$ $381^{2002}$ $\\vdots$ 3 <br\/> $18^{2002}$ $\\vdots$ 3 (v\u00ec 18 $\\vdots$ 3) <br\/> $\\Rightarrow$ $(381^{2002} + 18^{2002})$ $\\vdots$ 3 <br\/> C - $49^{115}$ $\\not \\vdots$ 3 (v\u00ec 49 $\\not \\vdots$ 3) v\u00e0 $3^{2016}$ $\\vdots$ 3 <br\/> $\\Rightarrow$ ($49^{115} + 3^{2016}$) $\\not \\vdots$ 3 <br\/> D - $81^{421}$ $\\vdots$ 3 (v\u00ec 81 $\\vdots$ 3) <br\/> S\u1ed1 9342 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 9 + 3 + 4 + 2 = 18 <br\/> V\u00ec 18 $\\vdots$ 3 $\\Rightarrow$ 9342 $\\vdots$ 3 <br\/> $\\Rightarrow$ $(81^{421} + 9342)$ $\\vdots$ 3 <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:42"},{"id":"552","post_id":"736","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[["3"]],"list":[{"point":10,"ques":" <center><img src='img\/3.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn s\u1ed1 chia 5 d\u01b0 3 v\u00e0 chia 9 d\u01b0 3","select":["A. 38493","B. 87463","C. 92388","D. 93148"],"hint":"X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng v\u00e0 t\u00ednh t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> Ch\u1ecdn s\u1ed1 chia 5 d\u01b0 3 b\u1eb1ng c\u00e1ch x\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng <br\/> B\u01b0\u1edbc 2: <\/b> T\u00ednh t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a c\u00e1c s\u1ed1 v\u1eeba ch\u1ecdn \u1edf b\u01b0\u1edbc 1 \u0111\u1ec3 t\u00ecm s\u1ed1 chia 9 d\u01b0 3 <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec nh\u1eefng s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0, 5 th\u00ec chia h\u1ebft cho 5 <br\/> N\u00ean s\u1ed1 chia 5 d\u01b0 3 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0 + 3 = 3 ho\u1eb7c 5 + 3 = 8 <br\/> V\u1eady t\u1ea5t c\u1ea3 c\u00e1c \u0111\u00e1p \u00e1n tr\u00ean khi chia 5 \u0111\u1ec1u d\u01b0 3, t\u00ednh t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 <br\/> S\u1ed1 38493 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 3 + 8 + 4 + 9 + 3 = 27 <br\/> V\u00ec 27 $\\vdots$ 9 $\\Rightarrow$ 38493 $\\vdots$ 3 (lo\u1ea1i) <\/b> <br\/> S\u1ed1 87463 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 8 + 7 + 4 + 6 + 3 = 28 <br\/> V\u00ec 28 = 3.9 + 1 n\u00ean 28 chia 9 d\u01b0 1 hay 87463 chia 9 d\u01b0 1 (lo\u1ea1i) <\/b> <br\/> S\u1ed1 92388 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 9 + 2 + 3 + 8 + 8 = 30 <br\/> V\u00ec 30 = 3 . 9 + 3 n\u00ean 30 chia 9 d\u01b0 3 hay 92388 chia 9 d\u01b0 3 (th\u1ecfa m\u00e3n) <\/b> <br\/> S\u1ed1 93148 c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 9 + 3 + 1 + 4 + 8 = 25 <br\/> V\u00ec 25 = 9 . 2 + 7 n\u00ean 25 chia 9 d\u01b0 7 hay 93148 chia 9 d\u01b0 7 (lo\u1ea1i) <\/b> <br\/> V\u1eady s\u1ed1 chia 5 d\u01b0 3 v\u00e0 chia 9 d\u01b0 3 l\u00e0: 92388 <\/span> ","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:42"},{"id":"553","post_id":"736","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":[[["2"]]],"list":[{"point":10,"width":60,"content":"","type_input":"","ques":"<center><img src='img\/7.jpg' \/><\/center> <br\/> Kh\u00f4ng th\u1ef1c hi\u1ec7n ph\u00e9p chia h\u00e3y t\u00ecm d\u01b0 khi chia $(10^{15} + 1)$ chia 3? <br\/>$(10^{15} + 1)$ : 3 d\u01b0 l\u00e0: _input_ ","hint":"N\u1ebfu s\u1ed1 A c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 chia 3 d\u01b0 m th\u00ec s\u1ed1 A chia 3 d\u01b0 m","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> T\u00ednh t\u1ed5ng $(10^{15} + 1)$ <br\/> B\u01b0\u1edbc 2: <\/b> X\u00e9t t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a t\u1ed5ng v\u1eeba t\u00ednh \u1edf b\u01b0\u1edbc 1<br\/> N\u1ebfu t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a t\u1ed5ng tr\u00ean chia 3 d\u01b0 m th\u00ec t\u1ed5ng chia 3 d\u01b0 m <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: $10^{15} + 1 = \\underbrace{100...0}_{15 \\text{ch\u1eef s\u1ed1 0}} + 1 = \\underbrace{100...01}_{14 \\text{ch\u1eef s\u1ed1 0}}$ <br\/> S\u1ed1 $\\underbrace{100..01}_{14 \\text{ch\u1eef s\u1ed1 0}}$ c\u00f3 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0: 2 n\u00ean $\\underbrace{100...01}_{14 \\text{ch\u1eef s\u1ed1 0}}$ chia 3 d\u01b0 2 <br\/> V\u1eady $(10^{15} + 1)$ chia 3 d\u01b0 2 <br\/> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2 <\/span> <br\/> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:42"}]}