{"segment":[{"time":24,"part":[{"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/bai10/lv3/img\/7.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn t\u1ed5ng chia h\u1ebft cho 2","select":["A. $9^7 + 12$","B. $11^7 + 7$ ","C. $8^4 + 3^4$","D. $6^{12} + 3^{12}$ "],"hint":"D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng v\u00e0 c\u00e1ch t\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a m\u1ed9t l\u0169y th\u1eeba","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> N\u1ebfu m\u1ecdi s\u1ed1 h\u1ea1ng trong t\u1ed5ng \u0111\u1ec1u chia h\u1ebft cho m\u1ed9t s\u1ed1 th\u00ec t\u1ed5ng chia h\u1ebft cho s\u1ed1 \u0111\u00f3 <br\/> M\u1ed9t s\u1ed1 l\u01b0u \u00fd v\u1ec1 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a m\u1ed9t l\u0169y th\u1eeba <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1, 5, 6 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng kh\u00f4ng \u0111\u1ed5i <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4k (k $\\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 8 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4k (k $\\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 6 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A, $9^7$ $\\not \\vdots$ 2 ($9^7 = (9^2)^3 . 9$ m\u00e0 $9^2$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 n\u00ean $9^7$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 9) v\u00e0 12 $\\vdots$ 2 <br\/> $\\Rightarrow$ ($9^7 + 12$) $\\not \\vdots$ 2 <br\/> B, $11^7$ $\\not \\vdots$ 2 (V\u00ec $11^7$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1) v\u00e0 7 $\\not \\vdots$ 2 <br\/> Nh\u01b0ng $(11^7 + 7)$ $\\vdots$ 2 (v\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 + 7 = 8) <br\/> C, $8^4$ $\\vdots$ 2 (v\u00ec 8 $\\vdots$ 2) <br\/> $3^4$ $\\not \\vdots$ 2 (v\u00ec $3^4$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1) <br\/> $\\Rightarrow$ $(8^4 + 3^4$) $\\not \\vdots$ 2 <br\/> D, $6^{12}$ $\\vdots$ 2 (v\u00ec 6 $\\vdots$ 2) <br\/> $3^{12}$ $\\not \\vdots$ 2 (v\u00ec $3^{12} = (3^4)^3$ m\u00e0 $3^4$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 n\u00ean $3^{12}$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1) <br\/> $\\Rightarrow$ ($6^{12} + 3^{12})$ $\\not \\vdots$ 2 <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":501},{"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/bai10/lv3/img\/7.jpg' \/><\/center> <br\/> H\u00e3y ch\u1ecdn t\u1ed5ng chia h\u1ebft cho 5","select":["A. $25^{52} + 125$","B. $90^{12} + 21$ ","C. $10^8 + 24$","D. $121^{3} + 15$ "],"hint":"D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng v\u00e0 c\u00e1ch t\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a m\u1ed9t l\u0169y th\u1eeba","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> N\u1ebfu m\u1ecdi s\u1ed1 h\u1ea1ng trong t\u1ed5ng \u0111\u1ec1u chia h\u1ebft cho m\u1ed9t s\u1ed1 th\u00ec t\u1ed5ng chia h\u1ebft cho s\u1ed1 \u0111\u00f3 <br\/> M\u1ed9t s\u1ed1 l\u01b0u \u00fd v\u1ec1 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a m\u1ed9t l\u0169y th\u1eeba <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1, 5, 6 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng kh\u00f4ng \u0111\u1ed5i <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4k (k $\\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 8 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4k (k $\\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 6 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> A, $25^{52}$ $\\vdots$ 5 (v\u00ec 25 $\\vdots$ 5) v\u00e0 125 $\\vdots$ 5 <br\/> $\\Rightarrow$ ($25^{52} + 125$) $\\vdots$ 5 <br\/> B, $90^{12}$ $\\vdots$ 5 (v\u00ec 90 $\\vdots$ 5) v\u00e0 21 $\\not \\vdots$ 5 <br\/> $\\Rightarrow$ ($90^{12} + 21$) $\\not \\vdots$ 5 <br\/> C, $10^8$ $\\vdots$ 5 (v\u00ec 10 $\\vdots$ 5) v\u00e0 24 $\\not \\vdots$ 5 <br\/> $\\Rightarrow$ ($10^8 + 24$) $\\not \\vdots$ 5 <br\/> D, $121^3$ $\\not \\vdots$ 5 (v\u00ec 121 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1) v\u00e0 15 $\\vdots$ 5 <br\/> $\\Rightarrow$ ($121^{3} + 15$) $\\not \\vdots$ 5 <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":502},{"time":14,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["38745"],["39173"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai10/lv3/img\/2.jpg' \/><\/center> <br\/> Cho c\u00e1c s\u1ed1: 74158; 39173; 49310; 38745 <br\/> S\u1ed1 chia h\u1ebft cho 5 nh\u01b0ng kh\u00f4ng chia h\u1ebft cho 2 l\u00e0: _input_ <br\/> S\u1ed1 kh\u00f4ng chia h\u1ebft cho 2 v\u00e0 kh\u00f4ng chia h\u1ebft cho 5 l\u00e0: _input_ ","hint":"Ch\u1ecdn s\u1ed1 kh\u00f4ng chia h\u1ebft cho 2 sau \u0111\u00f3 ch\u1ecdn s\u1ed1 chia h\u1ebft cho 5, v\u00e0 ch\u1ecdn s\u1ed1 kh\u00f4ng chia h\u1ebft cho 5 t\u1eeb c\u00e1c s\u1ed1 v\u1eeba ch\u1ecdn","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> D\u1ef1a v\u00e0o d\u1ea5u hi\u1ec7u chia h\u1ebft cho 2 v\u00e0 d\u1ea5u hi\u1ec7u chia h\u1ebft cho 5 <br\/> <b> B\u01b0\u1edbc 1: <\/b> H\u00e3y ch\u1ecdn ra s\u1ed1 kh\u00f4ng chia h\u1ebft cho 2 t\u1eeb c\u00e1c s\u1ed1 tr\u00ean <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ch\u1ecdn s\u1ed1 chia h\u1ebft cho 5, s\u1ed1 kh\u00f4ng chia h\u1ebft cho 5 t\u1eeb c\u00e1c s\u1ed1 \u0111\u00e3 ch\u1ecdn \u1edf b\u01b0\u1edbc 1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> V\u00ec nh\u1eefng s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0; 2; 4; 6; 8 th\u00ec chia h\u1ebft cho 2 <br\/> Trong c\u00e1c s\u1ed1 tr\u00ean s\u1ed1 kh\u00f4ng chia h\u1ebft 2 l\u00e0: 39173; 38745 <br\/> S\u1ed1 39173 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 n\u00ean 39173 $\\not \\vdots$ 5 <br\/> S\u1ed1 38745 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5 n\u00ean 38745 $\\vdots$ 5 <br\/> V\u1eady s\u1ed1 kh\u00f4ng chia h\u1ebft cho 2 nh\u01b0ng chia h\u1ebft cho 5 l\u00e0 38745 <br\/> S\u1ed1 kh\u00f4ng chia h\u1ebft cho c\u1ea3 2 v\u00e0 5 l\u00e0: 39173 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0: 39173; 38745 <\/span>"}]}],"id_ques":503},{"time":14,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai10/lv3/img\/3.jpg' \/><\/center> <br\/> H\u00e3y t\u00ecm d\u01b0 trong ph\u00e9p chia sau: <br\/> $13^{184}$ : 5 d\u01b0 l\u00e0: _input_ ","hint":"X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $13^{184}$ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $13^{184}$ <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4k ($k \\in \\mathbb{N}$) s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $13^{184}$ r\u1ed3i t\u00ecm d\u01b0 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> $13^{184} = (13^4)^{46}$ <br\/> M\u00e0 $13^4$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> N\u00ean $13^{184} = (13^4)^{46}$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> V\u00ec s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0; 5 chia h\u1ebft cho 5 <br\/> N\u00ean $13^{184}$ chia 5 d\u01b0 1 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1 <\/span>"}]}],"id_ques":504},{"time":14,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["100"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai10/lv3/img\/9.jpg' \/><\/center> <br\/> C\u00f3 bao nhi\u00eau s\u1ed1 chia h\u1ebft cho 5 nh\u01b0ng kh\u00f4ng chia h\u1ebft cho 2 m\u00e0 nh\u1ecf h\u01a1n 1000. <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ s\u1ed1","hint":"S\u1ed1 chia h\u1ebft cho 5 m\u00e0 kh\u00f4ng chia h\u1ebft cho 2 th\u00ec c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5 ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec c\u00e1c s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 s\u1ed1 chia h\u1ebft cho 5 m\u00e0 kh\u00f4ng chia h\u1ebft cho 2 n\u00ean s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5 <br\/> <b> B\u01b0\u1edbc 1: <\/b> C\u00e1c s\u1ed1 chia h\u1ebft cho 5 m\u00e0 kh\u00f4ng chia h\u1ebft cho 2 ch\u00ednh l\u00e0 c\u00e1c s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y 5, 15, 25,..., 995 <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y tr\u00ean <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng = (s\u1ed1 h\u1ea1ng cu\u1ed1i - s\u1ed1 h\u1ea1ng \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3 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 h\u1ebft cho 5 m\u00e0 kh\u00f4ng chia h\u1ebft cho 2 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5 <br\/> V\u1eady c\u00e1c s\u1ed1 chia h\u1ebft cho 5 m\u00e0 kh\u00f4ng chia h\u1ebft cho 2 m\u00e0 nh\u1ecf h\u01a1n 1000 l\u00e0: 5; 15; 25; ...; 995 <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y l\u00e0: <br\/> (995 - 5) : 10 + 1 = 100 s\u1ed1 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 100 <\/span>"}]}],"id_ques":505},{"time":14,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["79"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai10/lv3/img\/9.jpg' \/><\/center> <br\/> Cho t\u1eadp h\u1ee3p A c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n v\u1eeba chia h\u1ebft cho 2 v\u1eeba chia h\u1ebft cho 5 v\u00e0 142 < n < 931 <br\/> H\u1ecfi t\u1eadp h\u1ee3p A c\u00f3 bao nhi\u00eau ph\u1ea7n t\u1eed? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ ph\u1ea7n t\u1eed","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Vi\u1ebft ra d\u00e3y c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean n m\u00e0 chia h\u1ebft cho c\u1ea3 2 v\u00e0 5 (142 < n < 931) <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y tr\u00ean <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng = (s\u1ed1 h\u1ea1ng cu\u1ed1i - s\u1ed1 h\u1ea1ng \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec 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 h\u1ebft cho c\u1ea3 2 v\u00e0 5 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0 <br\/> T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 chia h\u1ebft cho c\u1ea3 2 v\u00e0 5 m\u00e0 nh\u1ecf h\u01a1n 931 v\u00e0 l\u1edbn h\u01a1n 142 l\u00e0: A = {150; 160; 170; ...; 930} <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y tr\u00ean l\u00e0: (930 - 150) : 10 + 1 = 79 <br\/> V\u1eady t\u1eadp h\u1ee3p A c\u00f3 79 ph\u1ea7n t\u1eed <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 79 <\/span>"}]}],"id_ques":506},{"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='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai10/lv3/img\/4.jpg' \/><\/center> <br\/> Cho A = $(6^2 + 7^2 + 8^2 + 9^2 + 10^2) - (1^2 + 2^2 + 3^2 + 4^2 + 5^2)$ <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang.","select":["A. A $\\vdots$ 2 ","B. A $\\not \\vdots$ 5 ","C. A $\\vdots$ 5 v\u00e0 A $\\not \\vdots$ 2 ","D. A $\\vdots$ 2 v\u00e0 A $\\vdots$ 5 "],"hint":"T\u00ednh t\u1eebng t\u1ed5ng tr\u00ean v\u00e0 d\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t hi\u1ec7u","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> N\u1ebfu c\u1ea3 s\u1ed1 b\u1ecb tr\u1eeb v\u00e0 s\u1ed1 tr\u1eeb \u0111\u1ec1u chia h\u1ebft cho m\u1ed9t s\u1ed1 th\u00ec hi\u1ec7u chia h\u1ebft cho s\u1ed1 \u0111\u00f3 <br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh ($6^2 + 7^2 + 8^2 + 9^2 + 10^2$) v\u00e0 $(1^2 + 2^2 + 3^2 + 4^2 + 5^2)$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t hi\u1ec7u x\u00e9t xem hi\u1ec7u tr\u00ean chia h\u1ebft cho s\u1ed1 n\u00e0o <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> $6^2 + 7^2 + 8^2 + 9^2 + 10^2$ = 36 + 49 + 64 + 81 + 100 = 330 <br\/> $1^2 + 2^2 + 3^2 + 4^2 + 5^2$ = 1 + 4 + 9 + 16 + 25 = 55 <br\/> 330 $ \\vdots$ 2 (v\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0) <br\/> 55 $\\not \\vdots$ 2 (v\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5) <br\/> $\\Rightarrow$ [$(6^2 + 7^2 + 8^2 + 9^2 + 10^2) - (1^2 + 2^2 + 3^2 + 4^2 + 5^2)$] $\\not \\vdots$ 2 <br\/> +) 330 $ \\vdots$ 5 (v\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0) <br\/> 55 $\\vdots$ 5 (v\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 5) <br\/> V\u1eady [$(6^2 + 7^2 + 8^2 + 9^2 + 10^2) - (1^2 + 2^2 + 3^2 + 4^2 + 5^2)$] $ \\vdots$ 5 <br\/> V\u1eady A chia h\u1ebft cho 5 nh\u01b0ng kh\u00f4ng chia h\u1ebft cho 2 <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":507},{"time":24,"part":[{"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/bai10/lv3/img\/11.jpg' \/><\/center> <br\/> Thay * b\u1eb1ng ch\u1eef s\u1ed1 th\u00edch h\u1ee3p \u0111\u1ec3 $\\overline{20*11}$ $\\vdots$ 2 <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang nh\u1ea5t.","select":["A. * = 4 ","B. * = 2 ","C. * = 0","D. * = $\\varnothing$ "],"hint":"D\u1ef1a v\u00e0o d\u1ea5u hi\u1ec7u chia h\u1ebft cho 2 x\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $\\overline{20*11}$ <br\/> Sau \u0111\u00f3 ch\u1ecdn gi\u00e1 tr\u1ecb th\u00edch h\u1ee3p c\u1ee7a * \u0111\u1ec3 $\\overline{20*11}$ $\\vdots$ 2 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> V\u00ec $\\overline{20*11}$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> N\u00ean $\\overline{20*11}$ $\\not \\vdots$ 2 v\u1edbi m\u1ecdi gi\u00e1 tr\u1ecb c\u1ee7a ch\u1eef s\u1ed1 * <br\/> V\u1eady kh\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb n\u00e0o c\u1ee7a * th\u1ecfa m\u00e3n hay * = $\\varnothing$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n ch\u1ecdn l\u00e0: D <\/span> ","column":2}]}],"id_ques":508},{"time":24,"part":[{"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/bai10/lv3/img\/1.png' \/><\/center> <br\/> C\u00f3 5 t\u1edd gi\u1ea5y. Ng\u01b0\u1eddi ta x\u00e9 t\u1edd gi\u1ea5y \u0111\u00f3 ra th\u00e0nh 6 m\u1ea3nh. l\u1ea1i l\u1ea5y m\u1ed9t s\u1ed1 m\u1ea3nh n\u00e0o \u0111\u00f3, x\u00e9 m\u1ed7i m\u1ea3nh th\u00e0nh 6 m\u1ea3nh. C\u1ee9 nh\u01b0 v\u1eady sau m\u1ed9t s\u1ed1 l\u1ea7n ng\u01b0\u1eddi ta \u0111\u1ebfm \u0111\u01b0\u1ee3c 2001 m\u1ea3nh gi\u1ea5y. Ng\u01b0\u1eddi ta \u0111\u1ebfm <b> \u0110\u00daNG <\/b> hay <b> SAI <\/b>?","select":["A. \u0110\u00daNG ","B. SAI "],"hint":"Khi x\u00e9 m\u1ed7i t\u1edd gi\u1ea5y th\u00e0nh 6 m\u1ea3nh th\u00ec s\u1ed1 m\u1ea3nh gi\u1ea5y t\u0103ng l\u00ean l\u00e0 m\u1ea5y, s\u1ed1 \u0111\u00f3 chia h\u1ebft cho s\u1ed1 n\u00e0o","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec l\u00fac \u0111\u1ea7u c\u00f3 5 t\u1edd gi\u1ea5y, khi x\u00e9 t\u1edd gi\u1ea5y th\u00e0nh 6 m\u1ea3nh th\u00ec s\u1ed1 l\u01b0\u1ee3ng m\u1ea3nh gi\u1ea5y t\u0103ng l\u00ean l\u00e0 6 - 1 = 5 m\u1ea3nh <br\/> Sau m\u1ed7i l\u1ea7n x\u00e9 th\u00ec s\u1ed1 l\u01b0\u1ee3ng m\u1ea3nh gi\u1ea5y t\u0103ng l\u00ean l\u00e0 m\u1ed9t s\u1ed1 chia h\u1ebft cho 5 <br\/> Sau \u0111\u00f3 x\u00e9t s\u1ed1 m\u1ea3nh gi\u1ea5y cu\u1ed1i c\u00f9ng xem ng\u01b0\u1eddi ta \u0111\u1ebfm \u0111\u00fang hay sai <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> Khi x\u00e9 t\u1edd gi\u1ea5y th\u00e0nh 6 m\u1ea3nh th\u00ec s\u1ed1 m\u1ea3nh gi\u1ea5y t\u0103ng l\u00ean sau m\u1ed7i l\u1ea7n x\u00e9 l\u00e0 5 m\u1ea3nh <br\/> V\u00ec l\u00fac \u0111\u1ea7u c\u00f3 5 t\u1edd gi\u1ea5y n\u00ean sau m\u1ed7i l\u1ea7n x\u00e9 m\u1ed9t s\u1ed1 m\u1ea3nh gi\u1ea5y n\u00e0o \u0111\u00f3 th\u00ec t\u1ed5ng s\u1ed1 c\u00e1c m\u1ea3nh gi\u1ea5y l\u00e0 s\u1ed1 chia h\u1ebft cho 5 <br\/> S\u1ed1 2001 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 n\u00ean 2001 $\\not \\vdots$ 5 <br\/> N\u00ean ng\u01b0\u1eddi \u0111\u00f3 \u0111\u00e3 \u0111\u1ebfm sai <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":509},{"time":24,"part":[{"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/bai10/lv3/img\/11.jpg' \/><\/center> <br\/> Cho $M_{1}$ l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 chia 5 d\u01b0 1 <br\/> $M_{2}$ l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 chia 5 d\u01b0 2 <br\/> $M_{3}$ l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 chia 5 d\u01b0 3 <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang?","select":["A. 192 $\\in M_{1}$ ","B. 844 $\\in M_{2}$ ","C. 937 $\\in M_{3}$ ","D. 1247 $\\in M_{2}$ "],"hint":"L\u1eadp lu\u1eadn t\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 chia 5 d\u01b0 1, chia 5 d\u01b0 2, chia 5 d\u01b0 3","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a c\u00e1c s\u1ed1 chia 5 d\u01b0 1, chia 5 d\u01b0 2, chia 5 d\u01b0 3 <br\/> <b> B\u01b0\u1edbc 2: <\/b> X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a c\u00e1c s\u1ed1 trong \u0111\u00e1p \u00e1n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec 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 1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0 + 1 = 1 ho\u1eb7c 5 + 1 = 6 <br\/> S\u1ed1 chia 5 d\u01b0 2 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0 + 2 = 2; 5 + 2 = 7 <br\/> 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\/> S\u1ed1 192 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 2 n\u00ean 192 chia 5 d\u01b0 2 <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh 192 $\\in M_{1}$ l\u00e0 <b> SAI <\/b> <br\/> S\u1ed1 844 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 4 n\u00ean 844 chia 5 d\u01b0 4 <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh 844 $\\in M_{2}$ l\u00e0 <b> SAI <\/b> <br\/> S\u1ed1 937 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 7 n\u00ean 937 chia 5 d\u01b0 2 <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh 937 $\\in M_{3}$ l\u00e0 <b> SAI <\/b> <br\/> S\u1ed1 1247 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 7 n\u00ean 1247 chia 5 d\u01b0 2 <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh 1247 $\\in M_{2}$ l\u00e0 <b> \u0110\u00daNG <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}]}],"id_ques":510}],"lesson":{"save":0,"level":3}}