{"id":2501,"date":"2021-10-14T20:57:35","date_gmt":"2021-10-14T13:57:35","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=2501"},"modified":"2021-10-14T20:57:35","modified_gmt":"2021-10-14T13:57:35","slug":"luyen-tap-bai-10-tinh-chat-chia-het-cua-mot-tong-nang-cao","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/luyen-tap-bai-10-tinh-chat-chia-het-cua-mot-tong-nang-cao\/","title":{"rendered":"Luy\u1ec7n t\u1eadp b\u00e0i 10: T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng n\u00e2ng cao"},"content":{"rendered":"\n<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p>T\u00f9y v\u00e0o t\u1eebng tr\u01b0\u1eddng h\u1ee3p, ta c\u00f3 th\u1ec3 kh\u00f4ng c\u1ea7n t\u00ednh t\u1ed5ng c\u1ee7a hai s\u1ed1 m\u00e0 v\u1eabn x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c t\u1ed5ng \u0111\u00f3 chia h\u1ebft hay kh\u00f4ng chia h\u1ebft m\u1ed9t s\u1ed1 n\u00e0o \u0111\u00f3. Trong b\u00e0i h\u1ecdc h\u00f4m nay, ch\u00fang ta c\u00f9ng t\u00ecm hi\u1ec3u v\u1ec1 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p \u0111\u00f3 nh\u00e9. B\u1eaft \u0111\u1ea7u b\u00e0i h\u1ecdc t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng To\u00e1n l\u1edbp 6.<\/p>\n\n\n\n<p>L\u00fd thuy\u1ebft T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>Nh\u1eafc l\u1ea1i ki\u1ebfn th\u1ee9c quan h\u1ec7 chia h\u1ebft<\/p>\n\n\n\n<p>Ta c\u00f3 s\u1ed1 t\u1ef1 nhi\u00ean \u201ca\u201d chia h\u1ebft \u201cb\u201d v\u1edbi \u0111i\u1ec1u ki\u1ec7n b \u2260 0 th\u00ec c\u00f3 s\u1ed1 t\u1ef1 nhi\u00ean \u201ck\u201d sao cho b\u1eb1ng a = b.k (v\u1edbi \u0111i\u1ec1u ki\u1ec7n k \u2208 N).<\/p>\n\n\n\n<p>Ta k\u00fd hi\u1ec7u \u201ca\u201d chia h\u1ebft cho \u201cb\u201d nh\u01b0 sau: a \u205d b<\/p>\n\n\n\n<p>K\u00fd hi\u1ec7u \u201ca\u201d kh\u00f4ng chia h\u1ebft cho \u201cb\u201d nh\u01b0 sau: a \u066a b<\/p>\n\n\n\n<p>T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>a. T\u00ecnh ch\u1ea5t 1<\/p>\n\n\n\n<p>N\u1ebfu m\u1ed9t s\u1ed1 b\u1ea5t k\u1ef3 (a) chia h\u1ebft cho \u201cm\u201d c\u1ed9ng v\u1edbi m\u1ed9t s\u1ed1 b\u1ea5t k\u1ef3 (b) chia h\u1ebft cho \u201cm\u201d, th\u00ec kh\u00f4ng c\u1ea7n t\u00ednh t\u1ed5ng, ch\u00fang ta v\u1eabn x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c t\u1ed5ng \u0111\u00f3 chia h\u1ebft cho \u201cm\u201d.<\/p>\n\n\n\n<p>C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t:<\/p>\n\n\n\n<p>a \u205d m<\/p>\n\n\n\n<p>b \u205d m<\/p>\n\n\n\n<p>\u2192 a + b \u205d m<\/p>\n\n\n\n<p>Ph\u00e1t bi\u1ec3u t\u00ednh ch\u1ea5t 1<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 1:<\/p>\n\n\n\n<p>6 \u205d 6<\/p>\n\n\n\n<p>12 \u205d 6<\/p>\n\n\n\n<p>\u2192 6 + 12 = 18 \u205d 6<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 2:<\/p>\n\n\n\n<p>7 \u205d 7<\/p>\n\n\n\n<p>140 \u205d 7<\/p>\n\n\n\n<p>\u2192 7 + 140 = 147 \u205d 7<\/p>\n\n\n\n<p>K\u00fd hi\u1ec7u \u201c\u2192\u201d \u0111\u01b0\u1ee3c \u0111\u1ecdc l\u00e0 suy ra ho\u1eb7c k\u00e9o theo<\/p>\n\n\n\n<p>Ta c\u00f3 th\u1ec3 vi\u1ebft (a + b) \u205d m hay a + b \u205d m<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ch\u00fa \u00fd:<\/li><\/ul>\n\n\n\n<p>T\u00ednh ch\u1ea5t 1 \u0111\u00fang v\u1edbi m\u1ed9t hi\u1ec7u (a \u2265 b): a \u205d m v\u00e0 b \u205d m \u2192 a \u2013 b \u205d m<\/p>\n\n\n\n<p>T\u00ednh ch\u1ea5t 1 lu\u00f4n \u0111\u00fang v\u1edbi m\u1ed9t t\u1ed5ng c\u00f3 nhi\u1ec1u s\u1ed1 h\u1ea1ng: a \u205d m, b \u205d m v\u00e0 c \u205d m \u2192 a + b + c \u205d m<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 3. X\u00e9t xem t\u1ed5ng sau c\u00f3 chia h\u1ebft cho 5 kh\u00f4ng:<\/p>\n\n\n\n<p>10 + 150 + 755<\/p>\n\n\n\n<p>Ta c\u00f3:<\/p>\n\n\n\n<p>10 \u205d 5<\/p>\n\n\n\n<p>150 \u205d 5<\/p>\n\n\n\n<p>755 \u205d 5<\/p>\n\n\n\n<p>\u2192 10 + 150 + 755 \u205d 5<\/p>\n\n\n\n<p>Ch\u00fa \u00fd trong t\u00ednh ch\u1ea5t 1<\/p>\n\n\n\n<p>b. T\u00ednh ch\u1ea5t 2:<\/p>\n\n\n\n<p>N\u1ebfu m\u1ed9t s\u1ed1 h\u00e3ng c\u1ee7a t\u1ed5ng (a + b) kh\u00f4ng chia h\u1ebft cho \u201cm\u201d, ch\u00fang ta ch\u1eafc ch\u1eafn r\u1eb1ng t\u1ed5ng \u0111\u00f3 kh\u00f4ng chia h\u1ebft cho \u201cm\u201d.<\/p>\n\n\n\n<p>Ta c\u00f3:<\/p>\n\n\n\n<p>a \u205d m<\/p>\n\n\n\n<p>b \u066a m<\/p>\n\n\n\n<p>\u2192 a + b \u066a m<\/p>\n\n\n\n<p>Ph\u00e1t bi\u1ec3u t\u00ednh ch\u1ea5t 2 \u2013 t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 4:<\/p>\n\n\n\n<p>4 \u205d 4<\/p>\n\n\n\n<p>5 \u066a 4<\/p>\n\n\n\n<p>\u2192 5 + 4 = 9 \u066a 4<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ch\u00fa \u00fd:<\/li><\/ul>\n\n\n\n<p>T\u00ednh ch\u1ea5t 2 \u0111\u00fang v\u1edbi m\u1ed9t hi\u1ec7u a &gt; b ; n\u1ebfu a \u066a m, b \u205d m \u2192 a \u2013 b \u066a m<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 5:<\/p>\n\n\n\n<p>6 \u066a 4<\/p>\n\n\n\n<p>4 \u205d 4<\/p>\n\n\n\n<p>\u2192 6 \u2013 4 = 2 \u066a 4<\/p>\n\n\n\n<p>T\u00ednh ch\u1ea5t 2 lu\u00f4n \u0111\u00fang v\u1edbi m\u1ed9t t\u1ed5ng c\u00f3 nhi\u1ec1u s\u1ed1 h\u1ea1ng<\/p>\n\n\n\n<p>N\u1ebfu ch\u1ec9 c\u00f3 m\u1ed9t s\u1ed1 h\u1ea1ng trong t\u1ed5ng (a + b + c) kh\u00f4ng chia h\u1ebft cho \u201c m\u201d \u2192 a + b + c \u066a m.<\/p>\n\n\n\n<p>\u201ca\u201d v\u00e0 \u201cb\u201d kh\u00f4ng chia h\u1ebft cho \u201cm\u201d, nh\u01b0ng t\u1ed5ng a + b c\u00f3 th\u1ec3 chia h\u1ebft cho \u201cm\u201d ho\u1eb7c a + b kh\u00f4ng chia h\u1ebft cho \u201cm\u201d<\/p>\n\n\n\n<p>Ch\u00fa \u00fd trong t\u00ednh ch\u1ea5t 2<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 6:<\/p>\n\n\n\n<p>1 \u066a 4<\/p>\n\n\n\n<p>3 \u066a 4<\/p>\n\n\n\n<p>\u2192 1 + 3 = 4 \u205d 4<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>T\u1ea3i b\u1ed9 t\u00e0i li\u1ec7u v\u00e0 \u0111\u1ec1 thi Full m\u00f4n h\u1ecdc tuy\u1ec7t hay (c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft)<\/p><\/blockquote>\n\n\n\n<p>Gi\u1ea3i m\u1eabu b\u00e0i 10 T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng (SGK)<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ?1 b\u00e0i 10 trang 35, SGK:<\/p>\n\n\n\n<p>Gi\u1ea3i ?1 b\u00e0i 10, trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ?2 b\u00e0i 10, trang 35, SGK<\/p>\n\n\n\n<p>Gi\u1ea3i ?2 b\u00e0i 10, trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i 83 trang 35, SGK<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 83 trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i 85 trang 35, SGK<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 85 trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i 87 trang 35, SGK<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 87 trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i 88 (B\u00e0i 10: T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng, trang 35, SGK)<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 88 trang 35, SGK<\/p>\n\n\n\n<p>H\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i 90 trang 35, SGK<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 90 trang 35, SGK<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp luy\u1ec7n t\u1eadp t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>\u0110\u1ec1 b\u00e0i<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 1: Kh\u00f4ng \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh, em h\u00e3y cho bi\u1ebft m\u1ed7i t\u1ed5ng (hi\u1ec7u) sau c\u00f3 chia h\u1ebft cho 3 kh\u00f4ng??<\/p>\n\n\n\n<p>30 + 21<\/p>\n\n\n\n<p>60 \u2013 9<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 2: Kh\u00f4ng \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh, em h\u00e3y cho bi\u1ebft m\u1ed7i t\u1ed5ng (hi\u1ec7u) sau c\u00f3 chia h\u1ebft cho 5 kh\u00f4ng ??<\/p>\n\n\n\n<p>100 + 23<\/p>\n\n\n\n<p>36 \u2013 9<\/p>\n\n\n\n<p>B\u00e0i 3: Kh\u00f4ng \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh, em h\u00e3y cho bi\u1ebft m\u1ed7i t\u1ed5ng (hi\u1ec7u) sau c\u00f3 chia h\u1ebft cho 4 kh\u00f4ng??<\/p>\n\n\n\n<p>20 + 36 12<\/p>\n\n\n\n<p>13 + 12 + 8<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 4: Cho t\u1ed5ng A = 12 + 15 + 21 + x, v\u1edbi x thu\u1ed9c N. T\u00ecm \u0111i\u1ec1u ki\u1ec7n c\u1ee7a x \u0111\u1ec3 A chia h\u1ebft cho 3, \u0111\u1ec3 A kh\u00f4ng chia h\u1ebft cho 3?<\/p>\n\n\n\n<p>L\u1eddi gi\u1ea3i<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 1:<\/p>\n\n\n\n<p>a. 30 + 21<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>30 \u22ee 3<\/p>\n\n\n\n<p>21 \u22ee 3<\/p>\n\n\n\n<p>\u2192 V\u1eady: 30 + 21 \u22ee 3<\/p>\n\n\n\n<p>b. 60 \u2013 9<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>60 \u22ee 3<\/p>\n\n\n\n<p>9 \u22ee 3<\/p>\n\n\n\n<p>\u2192 V\u1eady: 60 \u2013 9 \u22ee 3<\/p>\n\n\n\n<p>Gi\u1ea3i b\u00e0i luy\u1ec7n t\u1eadp T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 2:<\/p>\n\n\n\n<p>a. 100 + 23<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>100 \u22ee 5<\/p>\n\n\n\n<p>23 \u22ee\u0338 5<\/p>\n\n\n\n<p>\u2192 V\u1eady: 100 \u2013 25 \u22ee\u0338 5<\/p>\n\n\n\n<p>b. 36 \u2013 9<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>36 \u22ee\u0338 5<\/p>\n\n\n\n<p>9 \u22ee\u0338 5<\/p>\n\n\n\n<p>\u2192 V\u1eady: 36 \u2013 9 \u22ee\u0338 5<\/p>\n\n\n\n<p>L\u1eddi gi\u1ea3i b\u00e0i t\u1eadp 2<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 3:<\/p>\n\n\n\n<p>a. 20 + 36 \u2013 12<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>20 \u22ee 4<\/p>\n\n\n\n<p>36 \u22ee 4<\/p>\n\n\n\n<p>12 \u22ee 4<\/p>\n\n\n\n<p>\u2192 V\u1eady: 20 + 36 \u2013 12 \u22ee 4<\/p>\n\n\n\n<p>b. 13 + 12 + 8<\/p>\n\n\n\n<p>Ta th\u1ea5y:<\/p>\n\n\n\n<p>13 \u22ee\u0338 4<\/p>\n\n\n\n<p>12 \u22ee 4<\/p>\n\n\n\n<p>8 \u22ee 4<\/p>\n\n\n\n<p>\u2192 V\u1eady: 13 + 12 + 8 \u22ee\u0338 4<\/p>\n\n\n\n<p>Gi\u1ea3i b\u00e0i t\u1eadp 3 ph\u1ea7n luy\u1ec7n t\u1eadp<\/p>\n\n\n\n<p>B\u00e0i t\u1eadp 4:<\/p>\n\n\n\n<p>T\u1ed5ng A g\u1ed3m c\u00e1c s\u1ed1 h\u1ea1ng: 12; 15; 21; x<\/p>\n\n\n\n<p>Ta c\u00f3:<\/p>\n\n\n\n<p>12 \u22ee 3<\/p>\n\n\n\n<p>15 \u22ee 3<\/p>\n\n\n\n<p>21 \u22ee 3<\/p>\n\n\n\n<p>\u2192 V\u1eady \u0111\u1ec3 A \u22ee 3 th\u00ec x \u22ee 3<\/p>\n\n\n\n<p>\u2192 V\u1eady \u0111\u1ec3 A \u22ee\u0338 3 th\u00ec x \u22ee\u0338 3<\/p>\n\n\n\n<p>L\u1eddi gi\u1ea3i b\u00e0i t\u1eadp 4<\/p>\n\n\n\n<p>L\u01b0u \u00fd gi\u00fap h\u1ecdc gi\u1ecfi To\u00e1n 6 t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>V\u1eadn d\u1ee5ng m\u00f4n to\u00e1n v\u00e0o cu\u1ed9c s\u1ed1ng<\/p>\n\n\n\n<p>To\u00e1n h\u1ecdc l\u00e0 m\u1ed9t m\u00f4n h\u1ecdc v\u1edbi nh\u1eefng ch\u1eef s\u1ed1 kh\u00f4 khan v\u00e0 c\u00f4ng th\u1ee9c r\u1eafc r\u1ed1i. Tuy nhi\u00ean, ki\u1ebfn th\u1ee9c to\u00e1n h\u1ecdc s\u1ebd tr\u1edf n\u00ean th\u00fa v\u1ecb v\u00e0 d\u1ec5 nh\u1edb h\u01a1n n\u1ebfu c\u00e1c em bi\u1ebft c\u00e1ch \u1ee9ng d\u1ee5ng n\u00f3 v\u00e0o cu\u1ed9c s\u1ed1ng.<\/p>\n\n\n\n<p>C\u00e1c em c\u00f3 th\u1ebf \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c to\u00e1n h\u1ecdc \u0111\u1ec3 t\u00ednh ti\u1ec1n mua \u0111\u1ed3, t\u00ednh s\u1ed1 l\u01b0\u1ee3ng th\u1ee9c \u0103n c\u1ea7n mua khi \u0111i ch\u1ee3 gi\u00fap m\u1eb9, t\u00ednh tu\u1ed5i c\u1ee7a b\u1ea3n th\u00e2n, ng\u01b0\u1eddi th\u00e2n v\u00e0 b\u1ea1n b\u00e8,\u2026<\/p>\n\n\n\n<p>H\u1ecdc c\u00e1ch t\u00ednh nh\u1ea9m thay v\u00ec d\u00f9ng m\u00e1y t\u00ednh<\/p>\n\n\n\n<p>S\u1ef1 xu\u1ea5t hi\u1ec7n c\u1ee7a m\u00e1y t\u00ednh l\u00e0 m\u1ed9t \u0111i\u1ec1u tuy\u1ec7t v\u1eddi cho cu\u1ed9c s\u1ed1ng ch\u00fang ta hi\u1ec7n nay. Tuy nhi\u00ean, t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng to\u00e1n l\u1edbp 6 l\u00e0 r\u00e8n luy\u1ec7n t\u01b0 duy v\u00e0 ph\u1ea3n x\u1ea1 t\u00ednh to\u00e1n cho n\u00e3o b\u1ed9 ch\u00fang ta. N\u1ebfu qu\u00e1 l\u1ec7 thu\u1ed9c v\u00e0o m\u00e1y t\u00ednh s\u1ebd khi\u1ebfn kh\u1ea3 n\u0103ng t\u00ednh to\u00e1n v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp c\u1ee7a c\u00e1c em ch\u1eadm ch\u1ea1p h\u01a1n. Do \u0111\u00f3, h\u00e3y h\u1ea1n ch\u1ebf v\u00e0 \u0111\u1eebng qu\u00e1 l\u1ea1m d\u1ee5ng m\u00e1y t\u00ednh nh\u00e9.<\/p>\n\n\n\n<p>Kh\u00f4ng gi\u1ea3i t\u1eaft b\u00e0i t\u1eadp t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng<\/p>\n\n\n\n<p>Khi gi\u1ea3i b\u00e0i t\u1eadp t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng, c\u00e1c em n\u00ean gi\u1ea3i b\u00e0i to\u00e1n c\u1ea9n th\u1eadn, tuy\u1ec7t \u0111\u1ed1i kh\u00f4ng ch\u1ee7 quan gi\u1ea3i t\u1eaft hay b\u1ecf b\u01b0\u1edbc t\u00ednh to\u00e1n n\u00e0o. C\u1ea9n th\u1eadn gi\u1ea3i t\u1eebng b\u01b0\u1edbc m\u1ed9t s\u1ebd \u0111\u1ea3m b\u1ea3o k\u1ebft qu\u1ea3 t\u00ednh ch\u00ednh x\u00e1c nh\u1ea5t v\u00e0 n\u1eafm r\u00f5 quy tr\u00ecnh gi\u1ea3i.<\/p>\n\n\n\n<p>\u0110\u1eb7c bi\u1ec7t, b\u00e0i 10: T\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng gi\u00fap c\u00e1c em gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp ph\u01b0\u01a1ng tr\u00ecnh \u0111a b\u1eadc, t\u00ecm \u1ea9n v\u00e0 \u0111\u1eb3ng th\u1ee9c ph\u1ee9c t\u1ea1p h\u01a1n. Do v\u1eady, c\u00e1c em kh\u00f4ng n\u00ean ch\u1ee7 quan v\u1edbi ki\u1ebfn th\u1ee9c t\u01b0\u1edfng nh\u01b0 d\u1ec5 th\u1edf n\u00e0y.<\/p>\n\n\n\n<p>H\u1ea1n ch\u1ebf s\u1eed d\u1ee5ng s\u00e1ch gi\u1ea3i m\u1eabu l\u00e0m b\u00e0i t\u1eadp to\u00e1n<\/p>\n\n\n\n<p>C\u00e1c b\u00e0i gi\u1ea3i To\u00e1n 6 t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng m\u1eabu ch\u1ec9 mang t\u00ednh ch\u1ea5t tham kh\u1ea3o. C\u00e1c em n\u00ean h\u1ea1n ch\u1ebf d\u1ef1a d\u1eabm v\u00e0o c\u00e1c b\u00e0i gi\u1ea3i m\u1eabu khi l\u00e0m b\u00e0i t\u1eadp. N\u00ean r\u00e8n luy\u1ec7n kh\u1ea3 n\u0103ng v\u00e0 tinh th\u1ea7n t\u1ef1 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n \u0111\u1ed9c l\u1eadp.<\/p>\n\n\n\n<p>N\u1eafm v\u1eefng c\u00e1c ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng v\u00e0 b\u00e0i c\u0169<\/p>\n\n\n\n<p>Ghi nh\u1edb c\u00e1c \u0111i\u1ec1u ki\u1ec7n, k\u00fd hi\u1ec7u v\u00e0 quy \u01b0\u1edbc c\u1ee7a t\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng.<\/p>\n\n\n\n<p>To\u00e1n h\u1ecdc l\u00e0 m\u00f4n h\u1ecdc c\u00f3 t\u00ednh logic cao, ki\u1ebfn th\u1ee9c c\u1ee7a ph\u1ea7n n\u00e0y s\u1ebd li\u00ean quan v\u00e0 l\u00e0 n\u1ec1n t\u1ea3ng x\u00e2y d\u1ef1ng n\u00ean b\u00e0i h\u1ecdc sau. Do v\u1eady, vi\u1ec7c b\u1ecb h\u1ed5ng b\u1ea5t k\u1ef3 ki\u1ebfn th\u1ee9c \u1edf ph\u1ea7n n\u00e0o \u0111\u00f3 \u0111\u1ec1u \u1ea3nh h\u01b0\u1edfng r\u1ea5t l\u1edbn t\u1edbi kh\u1ea3 n\u0103ng h\u1ecdc v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp \u1edf c\u00e1c b\u00e0i h\u1ecdc ti\u1ebfp theo.<\/p>\n\n\n\n<p>N\u1ebfu c\u00e1c em \u0111ang b\u1ecb y\u1ebfu ki\u1ebfn th\u1ee9c \u1edf ph\u1ea7n n\u00e0o c\u1ea7n nhanh ch\u00f3ng b\u1ed3i d\u01b0\u1ee1ng v\u00e0 luy\u1ec7n t\u1eadp th\u1eadt k\u1ef9 ki\u1ebfn th\u1ee9c \u0111\u00f3 ngay.<\/p>\n\n\n\n<p>Kh\u00f3a <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc gia<\/a> s\u01b0 Online Vietlearn gi\u00fap c\u00e1c em d\u1ec5 d\u00e0ng n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c m\u00f4n To\u00e1n l\u1edbp 6.<\/p>\n\n\n\n<p>Gi\u1edbi thi\u1ec7u Vietlearn Education<\/p>\n\n\n\n<p>Vietlearn \u2013 Kh\u00f3a <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc gia<\/a> s\u01b0 To\u00e1n tr\u1ef1c tuy\u1ebfn s\u1ed1 1 Vi\u1ec7t Nam<\/p>\n\n\n\n<p>Vietlearn l\u00e0 c\u00f4ng ty Edtech v\u1ec1 gi\u00e1o d\u1ee5c tr\u1ef1c tuy\u1ebfn, cung c\u1ea5p tr\u1ea3i nghi\u1ec7m v\u00e0 b\u1ed3i d\u01b0\u1ee1ng <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> c\u00e1 nh\u00e2n cho h\u00e0ng tr\u0103m ngh\u00ecn <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> v\u00e0 nh\u00e0 tr\u01b0\u1eddng trong kh\u1ed1i ki\u1ebfn th\u1ee9c K-12 c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c.<\/p>\n\n\n\n<p>Vietlearn kh\u00f4ng ch\u1ec9 l\u00e0 kh\u00f3a h\u1ecdc To\u00e1n, ch\u00fang t\u00f4i \u1ee9ng d\u1ee5ng v\u00e0 mang \u0111\u1ebfn tr\u1ea3i nghi\u1ec7m tri th\u1ee9c tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o (AI) v\u00e0 d\u1eef li\u1ec7u l\u1edbn (h\u00e0ng \u0111\u1ea7u \u0110\u00f4ng Nam \u00c1) \u0111\u1ebfn v\u1edbi c\u00e1c b\u1ea1n nh\u1ecf. Vietlearn mong mu\u1ed1n t\u1ea1o ra m\u00f4i tr\u01b0\u1eddng c\u00f4ng ngh\u1ec7 gi\u00fap c\u00e1c em ph\u00e1t huy \u0111i\u1ec3m m\u1ea1nh v\u00e0 say m\u00ea trong <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a>.<\/p>\n\n\n\n<p>B\u1ed3i d\u01b0\u1ee1ng, truy\u1ec1n c\u1ea3m h\u1ee9ng v\u00e0 truy\u1ec1n l\u1eeda h\u1ecdc t\u1eadp cho th\u1ebf h\u1ec7 tr\u1ebb lu\u00f4n l\u00e0 s\u1ee9 m\u1ec7nh c\u1ed1t l\u00f5i kh\u00f4ng thay \u0111\u1ed5i c\u1ee7a Vietlearn.<\/p>\n\n\n\n<p>M\u00f4 h\u00ecnh gi\u00e1o d\u1ee5c v\u00e0 \u0111\u1ed9i ng\u0169 gi\u00e1o vi\u00ean c\u1ee7a Vietlearn \u0111\u01b0\u1ee3c nhi\u1ec1u t\u1ed5 ch\u1ee9c v\u00e0 c\u01a1 quan b\u00e1o ch\u00ed \u0111\u00e1nh gi\u00e1 ch\u1ea5t l\u01b0\u1ee3ng h\u00e0ng \u0111\u1ea7u Vi\u1ec7t Nam.<\/p>\n\n\n\n<p>Kho t\u00e0i li\u1ec7u h\u1ecdc t\u1eadp Mi\u1ec5n Ph\u00ed \u2013 Vietlearn<\/p>\n\n\n\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c \u201cT\u00ednh ch\u1ea5t chia h\u1ebft c\u1ee7a m\u1ed9t t\u1ed5ng to\u00e1n l\u1edbp 6\u201d, hy v\u1ecdng \u0111\u00e3 gi\u00fap c\u00e1c b\u1ea1n nh\u1ecf hi\u1ec3u v\u00e0 ho\u00e0n th\u00e0nh t\u1ed1t c\u00e1c b\u00e0i t\u1eadp \u1edf tr\u00ean l\u1edbp v\u00e0 c\u1ee7a Vietlearn.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>C\u00f9ng b\u00e9 h\u1ecdc To\u00e1n: B\u00e0i 12 \u2013 D\u1ea5u hi\u1ec7u chia h\u1ebft cho 3, cho 9<\/p>\n\n\n\n<p>D\u1ea5u hi\u1ec7u chia h\u1ebft cho 2 v\u00e0 5 l\u1edbp 6 \u2013 Gi\u1ea3i b\u00e0i t\u1eadp n\u00e2ng<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn T\u00f9y v\u00e0o t\u1eebng tr\u01b0\u1eddng h\u1ee3p, ta c\u00f3 th\u1ec3 kh\u00f4ng c\u1ea7n t\u00ednh t\u1ed5ng c\u1ee7a hai s\u1ed1 m\u00e0 v\u1eabn x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c t\u1ed5ng \u0111\u00f3 chia h\u1ebft hay kh\u00f4ng chia h\u1ebft m\u1ed9t s\u1ed1 n\u00e0o \u0111\u00f3. Trong b\u00e0i h\u1ecdc h\u00f4m nay, ch\u00fang ta c\u00f9ng t\u00ecm hi\u1ec3u v\u1ec1 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p \u0111\u00f3 nh\u00e9. B\u1eaft [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[1],"tags":[],"class_list":["post-2501","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2501","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=2501"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2501\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=2501"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=2501"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=2501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}