{"id":18630,"date":"2024-03-05T04:17:35","date_gmt":"2024-03-05T04:17:35","guid":{"rendered":"https:\/\/soicau2109.minhngocxoso.com\/?p=18630"},"modified":"2024-03-05T04:17:35","modified_gmt":"2024-03-05T04:17:35","slug":"phuong-phap-chot-so-soi-cau-pascal-tram-phat-tram-trung","status":"publish","type":"post","link":"https:\/\/soicauanto.com\/phuong-phap-chot-so-soi-cau-pascal-tram-phat-tram-trung\/","title":{"rendered":"Ph\u01b0\u01a1ng ph\u00e1p ch\u1ed1t s\u1ed1 soi c\u1ea7u Pascal tr\u0103m ph\u00e1t tr\u0103m tr\u00fang"},"content":{"rendered":"

\"\"<\/p>\n

Soi c\u1ea7u Pascal\u00a0l\u00e0 m\u1ed9t trong nh\u1eefng\u00a0ph\u01b0\u01a1ng ph\u00e1p b\u1eaft l\u00f4\u00a0hay nh\u1ea5t v\u1edbi t\u1ef7 l\u1ec7 b\u1eaft tr\u00fang c\u1ef1c cao. Ng\u00e0y nay, tr\u00ean m\u1ea1ng x\u00e3 h\u1ed9i v\u1edbi s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a h\u00e0ng lo\u1ea1t nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 m\u1edbi th\u00ec ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch c\u1ea7u Pascal v\u1eabn cho th\u1ea5y \u0111\u01b0\u1ee3c s\u1ef1 hi\u1ec7u qu\u1ea3 c\u1ee7a m\u00ecnh.<\/p>\n

Soi c\u1ea7u Pascal l\u00e0 g\u00ec?<\/h2>\n

Soi c\u1ea7u Pascal\u00a0l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p b\u1eaft l\u00f4 d\u1ef1a v\u00e0o quy lu\u1eadt c\u1ee7a tam gi\u00e1c Pascal, t\u1eeb \u0111\u00e2y ng\u01b0\u1eddi ch\u01a1i s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ed9ng 2 s\u1ed1 li\u00ean ti\u1ebfp g\u1ea7n nhau \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t d\u00e3y s\u1ed1 m\u1edbi v\u1edbi \u0111\u1ed9 d\u00e0i b\u00e9 h\u01a1n 1 \u0111\u01a1n v\u1ecb cho \u0111\u1ebfn khi ch\u1ec9 c\u00f2n 2 con s\u1ed1 cu\u1ed1i c\u00f9ng v\u00e0 \u0111\u00e2y ch\u00ednh l\u00e0 con b\u1ea1ch th\u1ee7 l\u00f4 c\u1ea7n t\u00ecm.<\/p>\n

Con s\u1ed1 b\u1eaft \u0111\u01b0\u1ee3c anh em c\u00f3 th\u1ec3 \u0111\u00e1nh l\u00f3t c\u1eb7p ngay \u1edf k\u1ef3 quay s\u1eafp t\u1edbi ho\u1eb7c \u00e1p d\u1ee5ng ch\u01a1i nu\u00f4i n\u1ebfu con l\u00f4 n\u00e0y c\u00f3 t\u1ea7n su\u1ea5t n\u1ed5 d\u00e0i.<\/p>\n

\u01afu \u0111i\u1ec3m c\u1ee7a ph\u01b0\u01a1ng ph\u00e1p soi c\u1ea7u Pascal<\/h2>\n

Tuy r\u1eb1ng c\u00f3 nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p ch\u00fang ta kh\u00f4ng th\u1ec3 l\u00fd gi\u1ea3i b\u1eb1ng khoa h\u1ecdc \u0111\u01b0\u1ee3c v\u00e0 c\u0169ng c\u00f3 nhi\u1ec1u t\u00e2n th\u1ee7 m\u1edbi v\u00e0o ngh\u1ec1 th\u01b0\u1eddng hay h\u1ecfi t\u00f4i r\u1eb1ng t\u1ea1i sao l\u1ea1i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nh\u01b0 v\u1eady m\u00e0 kh\u00f4ng ph\u1ea3i l\u00e0 c\u00f4ng th\u1ee9c kh\u00e1c?<\/p>\n

Qu\u1ea3 th\u1eadt ch\u00fang ta c\u00f3 r\u1ea5t nhi\u1ec1u c\u00e1ch \u0111\u00e1nh kh\u00e1c nhau nh\u01b0ng kh\u00f4ng ph\u1ea3i c\u00e1ch \u0111\u00e1nh n\u00e0o c\u0169ng \u0111\u01b0\u1ee3c c\u00e1c anh em bi\u1ebft v\u00e0 \u00e1p d\u1ee5ng nhi\u1ec1u \u0111\u1ebfn nh\u01b0 v\u1eady. B\u00ed k\u00edp n\u00e0y ph\u1ea3i ch\u1ee9ng minh \u0111\u01b0\u1ee3c t\u00ednh hi\u1ec7u qu\u1ea3 c\u1ee7a n\u00f3 trong th\u1ef1c chi\u1ebfn th\u00ec m\u1edbi \u0111\u01b0\u1ee3c c\u00e1c \u0111\u1ed3ng m\u00f4n tai truy\u1ec1n tai nhau cho \u0111\u1ebfn th\u1eddi \u0111i\u1ec3m hi\u1ec7n t\u1ea1i.<\/p>\n

M\u1ed9t v\u00e0i \u0111i\u1ec3m m\u1ea1nh c\u1ee7a ph\u01b0\u01a1ng ph\u00e1p n\u00e0y:<\/h4>\n

C\u00e1ch t\u00ednh kh\u00e1 \u0111\u01a1n gi\u1ea3n, ai \u0111\u1ecdc qua c\u0169ng \u0111\u1ec1u hi\u1ec3u v\u00e0 bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng ngay thay v\u00ec c\u1ee9 c\u1ed1 g\u1eafng hi\u1ec3u nh\u1eefng thu\u1eadt to\u00e1n lo\u1eb1ng ngo\u1eb1ng, ch\u1ec9 d\u1ef1a v\u00e0o may m\u1eafn.<\/p>\n

T\u1ef7 l\u1ec7 d\u1ef1 \u0111o\u00e1n tr\u00fang cao: \u0110\u01b0\u1ee3c m\u1ec7nh danh trong gi\u1edbi l\u00f4 \u0111\u1ec1 l\u00e0 \u201ctr\u0103m ph\u00e1t tr\u0103m tr\u00fang\u201d, c\u00f4ng th\u1ee9c t\u00ednh l\u00f4 \u0111\u1ec1 \u0111\u01b0\u1ee3c r\u1ea5t nhi\u1ec1u anh em cao th\u1ee7 tin t\u01b0\u1edfng v\u00e0 \u00e1p d\u1ee5ng. Tuy nhi\u00ean, th\u01b0\u1eddng th\u00ec nh\u1eefng ng\u01b0\u1eddi ch\u01a1i c\u00f3 kinh nghi\u1ec7m nhi\u1ec1u n\u0103m s\u1ebd c\u00f3 c\u01a1 h\u1ed9i th\u1eafng cao h\u01a1n l\u00e0 nh\u1eefng anh em l\u00ednh m\u1edbi v\u00ec kh\u00f4ng ch\u1ec9 c\u1ee9 \u00e1p c\u00f4ng th\u1ee9c v\u00e0o l\u00e0 \u0111\u00e1nh, anh em c\u1ea7n ph\u1ea3i c\u00f3 t\u00ednh c\u1ea3m \u0111\u1ec1, lu\u00e2n phi\u00ean s\u1eed d\u1ee5ng th\u00eam nh\u1eefng chi\u1ebfn l\u01b0\u1ee3c kh\u00e1c \u0111\u1ec3 cho ra \u0111\u01b0\u1ee3c b\u1ed9 s\u1ed1 \u0111\u1eb9p nh\u1ea5t sau c\u00f9ng.<\/p>\n

H\u01b0\u1edbng d\u1eabn \u00e1p d\u1ee5ng thu\u1eadt to\u00e1n Pascal trong soi c\u1ea7u<\/h2>\n

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 c\u00e1ch \u0111\u00e1nh m\u00e0 c\u00e1c anh em l\u00f4 th\u1ee7 th\u01b0\u1eddng xuy\u00ean \u00e1p d\u1ee5ng v\u00e0 \u0111\u00e3 g\u1eb7t h\u00e1i \u0111\u01b0\u1ee3c kh\u00e1 nhi\u1ec1u th\u00e0nh c\u00f4ng, m\u1eddi anh em tham kh\u1ea3o.<\/p>\n

a. D\u1ef1a v\u00e0o d\u1eef li\u1ec7u t\u1eeb gi\u1ea3i nh\u1ea5t v\u00e0 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t<\/h3>\n

\"\"<\/p>\n

Nhi\u1ec1u anh em \u0111\u1ecdc s\u01a1 qua th\u00ec s\u1ebd r\u1ea5t kh\u00f3 hi\u1ec3u, ch\u00ednh v\u00ec th\u1ebf t\u00f4i xin t\u00f3m t\u1eaft l\u1ea1i quy tr\u00ecnh n\u00e0y cho anh em d\u1ec5 hi\u1ec3u.<\/p>\n

V\u00ed d\u1ee5: B\u1ea3ng k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1 ng\u00e0y h\u00f4m nay c\u00f3 gi\u1ea3i \u0111\u1eb7c bi\u1ec7t l\u00e0 ABCDE v\u00e0 gi\u1ea3i nh\u1ea5t l\u00e0 FGHIK => Gh\u00e9p l\u1ea1i th\u00e0nh d\u00e3y s\u1ed1 ABCDEFGHIK.<\/p>\n

Anh em s\u1ebd l\u1ea5y s\u1ed1 th\u1ee9 1 + s\u1ed1 th\u1ee9 2 => A + B = T, n\u1ebfu:<\/p>\n