{"id":4787,"date":"2020-04-23T11:42:26","date_gmt":"2020-04-23T04:42:26","guid":{"rendered":"https:\/\/bacdau.vn\/?post_type=kb&p=4787"},"modified":"2023-08-14T16:52:45","modified_gmt":"2023-08-14T09:52:45","slug":"nhan-chia-truoc-cong-tru-sau","status":"publish","type":"kb","link":"https:\/\/bacdau.vn\/kb\/nhan-chia-truoc-cong-tru-sau\/","title":{"rendered":"Nh\u00e2n chia tr\u01b0\u1edbc c\u1ed9ng tr\u1eeb sau – C\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc"},"content":{"rendered":"

C\u00e1c ph\u00e9p to\u00e1n c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia l\u00e0 nh\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n m\u00e0 b\u1ea5t c\u1ee9 ai c\u0169ng c\u1ea7n ph\u1ea3i n\u1eafm v\u1eefng, ngay t\u1eeb khi c\u00f2n nh\u1ecf. Tuy nhi\u00ean, kh\u00f4ng \u00edt ng\u01b0\u1eddi v\u1eabn c\u00f2n l\u00fang t\u00fang v\u1edbi vi\u1ec7c nh\u00e2n chia tr\u01b0\u1edbc, c\u1ed9ng tr\u1eeb sau<\/strong>. V\u1eady quy t\u1eafc n\u00e0y c\u00f3 \u0111\u00fang kh\u00f4ng?<\/p>\n

C\u1ed9ng, tr\u1eeb, nh\u00e2n chia l\u00e0 g\u00ec? C\u01a1 s\u1edf n\u00e0o \u0111\u1ec3 x\u00e2y d\u1ef1ng n\u00ean c\u00e1c ph\u00e9p to\u00e1n \u0111\u00f3?<\/h2>\n
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C\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia l\u00e0 b\u1ed1n ph\u00e9p to\u00e1n c\u01a1 b\u1ea3n trong to\u00e1n h\u1ecdc. Ch\u00fang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n s\u1ed1 l\u01b0\u1ee3ng, kh\u1ed1i l\u01b0\u1ee3ng, di\u1ec7n t\u00edch, th\u1ec3 t\u00edch, th\u1eddi gian, t\u1ed1c \u0111\u1ed9, v.v.<\/p>\n

C\u1ed9ng l\u00e0 ph\u00e9p to\u00e1n th\u00eam hai ho\u1eb7c nhi\u1ec1u s\u1ed1 l\u1ea1i v\u1edbi nhau. Tr\u1eeb l\u00e0 ph\u00e9p to\u00e1n l\u1ea5y m\u1ed9t s\u1ed1 ra kh\u1ecfi m\u1ed9t s\u1ed1 kh\u00e1c. Nh\u00e2n l\u00e0 ph\u00e9p to\u00e1n nh\u00e2n hai ho\u1eb7c nhi\u1ec1u s\u1ed1 l\u1ea1i v\u1edbi nhau. Chia l\u00e0 ph\u00e9p to\u00e1n l\u1ea5y m\u1ed9t s\u1ed1 chia cho m\u1ed9t s\u1ed1 kh\u00e1c.<\/p>\n

C\u00e1c ph\u00e9p to\u00e1n c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng d\u1ef1a tr\u00ean c\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 s\u1ed1, s\u1ed1 t\u1ef1 nhi\u00ean, s\u1ed1 nguy\u00ean, s\u1ed1 h\u1eefu t\u1ec9, s\u1ed1 th\u1ef1c v\u00e0 s\u1ed1 ph\u1ee9c. C\u00e1c ph\u00e9p to\u00e1n n\u00e0y \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau, bao g\u1ed3m to\u00e1n h\u1ecdc, khoa h\u1ecdc, kinh t\u1ebf, k\u1ef9 thu\u1eadt, v.v.<\/p>\n

C\u00e1c ph\u00e9p to\u00e1n c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng t\u1eeb r\u1ea5t l\u00e2u \u0111\u1eddi. Ng\u01b0\u1eddi ta tin r\u1eb1ng c\u00e1c ph\u00e9p to\u00e1n n\u00e0y \u0111\u00e3 \u0111\u01b0\u1ee3c ph\u00e1t minh ra \u1edf \u1ea4n \u0110\u1ed9 v\u00e0 Hy L\u1ea1p c\u1ed5 \u0111\u1ea1i. Ban \u0111\u1ea7u, c\u00e1c ph\u00e9p to\u00e1n n\u00e0y \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng ch\u1eef c\u00e1i. Sau \u0111\u00f3, v\u00e0o th\u1ebf k\u1ef7 17, nh\u00e0 to\u00e1n h\u1ecdc ng\u01b0\u1eddi Ph\u00e1p Fran\u00e7ois Vi\u00e8te \u0111\u00e3 \u0111\u1ec1 xu\u1ea5t s\u1eed d\u1ee5ng c\u00e1c k\u00fd hi\u1ec7u +, -, \u00d7 v\u00e0 : \u0111\u1ec3 bi\u1ec3u di\u1ec5n c\u00e1c ph\u00e9p to\u00e1n n\u00e0y. S\u1ef1 ra \u0111\u1eddi c\u1ee7a c\u00e1c k\u00fd hi\u1ec7u n\u00e0y \u0111\u00e3 gi\u00fap cho vi\u1ec7c t\u00ednh to\u00e1n tr\u1edf n\u00ean d\u1ec5 d\u00e0ng v\u00e0 thu\u1eadn ti\u1ec7n h\u01a1n.<\/p>\n

Ng\u00e0y nay, c\u00e1c ph\u00e9p to\u00e1n c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong m\u1ecdi l\u0129nh v\u1ef1c c\u1ee7a \u0111\u1eddi s\u1ed1ng. Ch\u00fang l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap ch\u00fang ta gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 trong h\u1ecdc t\u1eadp, c\u00f4ng vi\u1ec7c v\u00e0 cu\u1ed9c s\u1ed1ng.<\/p>\n<\/div>\n

C\u00e1c quy t\u1eafc c\u1ed9ng tr\u1eeb nh\u00e2n chia<\/h2>\n

H\u1ea7u h\u1ebft \u0111\u1ed1i v\u1edbi h\u1ecdc sinh b\u1eadc ti\u1ec3u h\u1ecdc n\u1ebfu ch\u1ec9 th\u1ef1c hi\u1ec7n ph\u00e9p c\u1ed9ng tr\u1eeb nh\u00e2n chia<\/strong> c\u01a1 b\u1ea3n th\u00ec c\u1ef1c k\u1ef3 \u0111\u01a1n gi\u1ea3n, gi\u00e1o vi\u00ean v\u00e0 ph\u1ee5 huynh ch\u1ec9 c\u1ea7n ki\u00ean nh\u1eabn th\u00ec b\u00e9 s\u1ebd ho\u00e0n th\u00e0nh t\u1ed1t. Tuy nhi\u00ean khi ph\u1ed1i h\u1ee3p c\u00e1c ph\u00e9p to\u00e1n v\u1edbi nhau th\u00ec c\u00e2u chuy\u1ec7n thay \u0111\u1ed5i, kh\u00f4ng n\u1eafm \u0111\u01b0\u1ee3c c\u00e1c quy t\u1eafc c\u01a1 b\u1ea3n n\u00e0y s\u1ebd l\u00e0m tr\u1ebb l\u00fang t\u00fang, nh\u1ea7m l\u1eabn. V\u1eady quy t\u1eafc c\u01a1 b\u1ea3n trong t\u00ednh to\u00e1n l\u00e0 g\u00ec?<\/p>\n

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C\u00e1c quy t\u1eafc c\u01a1 b\u1ea3n trong t\u00ednh to\u00e1n l\u00e0:<\/p>\n