{"id":7708,"date":"2021-11-20T14:20:55","date_gmt":"2021-11-20T07:20:55","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=7708"},"modified":"2021-11-20T17:13:29","modified_gmt":"2021-11-20T10:13:29","slug":"vi-sao-phuong-phap-thay-the-dan-lai-cho-mot-con-so-co-tinh-ngau-nhien","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/vi-sao-phuong-phap-thay-the-dan-lai-cho-mot-con-so-co-tinh-ngau-nhien\/","title":{"rendered":"V\u00ec sao ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf d\u1ea7n l\u1ea1i cho m\u1ed9t con s\u1ed1 c\u00f3 t\u00ednh ng\u1eabu nhi\u00ean?"},"content":{"rendered":"\n<p>H\u00ecnh v\u1ebd \u1edf b\u00ean d\u01b0\u1edbi l\u00e0 m\u1ed9t h\u00e0m b\u1eadc hai y = ax(1 &#8211; x); 0 &lt; x &lt;1, a l\u00e0 m\u1ed9t tham s\u1ed1. V\u1edbi x = 1\/2ta nh\u1eadn \u0111\u01b0\u1ee3c c\u1ef1c tr\u1ecb c\u1ee7a \u0111\u01b0\u1eddng parabon. V\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb 0 &lt; x &lt; 1, ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m y duy nh\u1ea5t tr\u00ean \u0111\u01b0\u1eddng parabon. V\u1edbi m\u1ed9t s\u1ed1 x0 0 &lt; x0 &lt; 1 ta nh\u1eadn \u0111\u01b0\u1ee3c s\u1ed1 y0. L\u1ea1i \u0111em thay y0 v\u00e0o h\u00e0m b\u1eadc hai ta \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb m\u1edbi y1. L\u1ea1i \u0111em y1 thay v\u00e0o h\u00e0m, ta l\u1ea1i \u0111\u01b0\u1ee3c y2, l\u1ea1i ti\u1ebfp t\u1ee5c \u0111\u01b0a y2 v\u00e0o thay\u2026 ta s\u1ebd thu \u0111\u01b0\u1ee3c d\u00e3y s\u1ed1 y0, y1, y2 qu\u00e1 tr\u00ecnh n\u00e0y trong to\u00e1n h\u1ecdc g\u1ecdi l\u00e0 ph\u01b0\u01a1ng ph\u00e1p thay d\u1ea7n.<\/p>\n\n\n\n<p>Xu\u1ea5t ph\u00e1t t\u1eeb h\u00e0m b\u1eadc hai, ta ch\u1ecdn s\u1ed1 x0 b\u1ea5t k\u00ec (0 &lt; x0 &lt; 1) l\u00e0m gi\u00e1 tr\u1ecb thay th\u1ebf ban \u0111\u1ea7u, v\u1edbi c\u00e1c tham s\u1ed1 a kh\u00e1c nhau, ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c c\u00e1c k\u1ebft qu\u1ea3 \u0111\u00e1ng ch\u00fa \u00fd.<\/p>\n\n\n\n<p>Khi ch\u1ecdn a = 2 v\u00e0 x0 = 0,2 ti\u1ebfn h\u00e0nh vi\u1ec7c thay th\u1ebf d\u1ea7n, ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c d\u00e3y s\u1ed1 yi l\u00e0 0,18; 0,2952; 0,4161140; 0,485926; 0,499604; 0,50000. Cu\u1ed1i c\u00f9ng d\u00e3y s\u1ed1 s\u1ebd d\u1eebng l\u1ea1i \u1edf con s\u1ed1 0,50000.<\/p>\n\n\n\n<p>Khi a = 3,2 v\u00e0 ch\u1ecdn gi\u00e1 tr\u1ecb ban \u0111\u1ea7u l\u00e0, x0 = 0,2 ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c d\u00e3y s\u1ed1: 0,512; 0,799539; 0,512840; 0,7994690; 0,530190; 0,7994580; 0,5130400; 0,7994560; 0,51304403; 0,7994560; 0,5130440; 0,7994560; 0,5130440 , d\u00e3y tr\u1ecb s\u1ed1 thay th\u1ebf d\u1ea7n cu\u1ed1i c\u00f9ng s\u1ebd d\u1eebng l\u1ea1i \u1edf hai s\u1ed1: 0,7884560 v\u00e0 0,5130440 ch\u00fang s\u1ebd thay phi\u00ean nhau xu\u1ea5t hi\u1ec7n.<\/p>\n\n\n\n<p>V\u1edbi a = 3,5 v\u00e0 gi\u00e1 tr\u1ecb ban \u0111\u1ea7u x0 = 0,2 ti\u1ebfn h\u00e0nh thay th\u1ebf d\u1ea7n \u0111\u1ebfn 30 l\u1ea7n cu\u1ed1i c\u00f9ng xu\u1ea5t hi\u1ec7n c\u00e1c s\u1ed1 0,3828200; 0,8269410; 0,500840; 0,8749970, t\u1eeb \u0111\u00f3 4 s\u1ed1 n\u00e0y thay nhau xu\u1ea5t hi\u1ec7n. Khi cho a t\u0103ng d\u1ea7n th\u00ec cu\u1ed1i c\u00f9ng s\u1ebd xu\u1ea5t hi\u1ec7n 8 s\u1ed1 thay nhau xu\u1ea5t hi\u1ec7n khi ti\u1ebfn h\u00e0nh cu\u1ed9c thay d\u1ea7n ti\u1ebfp t\u1ee5c,\u2026r\u1ed3i l\u1ea1i xu\u1ea5t hi\u1ec7n 16 s\u1ed1 thay nhau xu\u1ea5t hi\u1ec7n\u2026<\/p>\n\n\n\n<p>Nh\u01b0ng khi cho a t\u0103ng \u0111\u1ebfn a &gt; 3,57 v\u00ed d\u1ee5 a = 3,58 th\u00ec d\u00e3y s\u1ed1 do k\u1ebft qu\u1ea3 c\u00e1c thay th\u1ebf d\u1ea7n l\u00e0: 0,572800; 0,8760270; 0,388020; 0,8507340; 0,4546100; 0,8876240; 0,3570966; 0,8218190; 0,5240630; 0,892927; 0,3422780; 0,8059430\u2026 v\u00e0 hi\u1ec7n t\u01b0\u1ee3ng quy lu\u1eadt m\u1ea5t h\u1eb3n, ng\u01b0\u1eddi ta kh\u00f4ng nh\u1eadn \u0111\u01b0\u1ee3c b\u1ea5t k\u00ec gi\u00e1 tr\u1ecb n\u00e0o \u0111\u01b0\u1ee3c l\u1eb7p l\u1ea1i, kh\u00f4ng h\u1ec1 c\u00f3 t\u00ednh quy lu\u1eadt, tr\u00e1i l\u1ea1i c\u00e1c s\u1ed1 xu\u1ea5t hi\u1ec7n \u0111\u1ec1u c\u00f3 t\u00ednh ng\u1eabu nhi\u00ean. C\u00e1c b\u1ea1n th\u1eed ti\u1ebfp t\u1ee5c thay th\u1ebf s\u1ebd th\u1ea5y.<\/p>\n\n\n\n<p>Xu\u1ea5t ph\u00e1t t\u1eeb m\u1ed9t h\u00e0m b\u1eadc hai, ch\u1ecdn c\u00e1c tham s\u1ed1 a v\u00e0 ti\u1ebfn h\u00e0nh ph\u00e9p thay th\u1ebf d\u1ea7n ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c d\u00e3y s\u1ed1 kh\u00f4ng l\u01b0\u1eddng tr\u01b0\u1edbc \u0111\u01b0\u1ee3c, l\u00e0m m\u1ecdi ng\u01b0\u1eddi kh\u00f3 tin nh\u01b0ng \u0111\u00f3 l\u00e0 s\u1ef1 th\u1ef1c c\u00f3 th\u1ec3 ki\u1ec3m nghi\u1ec7m b\u1eb1ng m\u00e1y t\u00ednh. \u0110\u00f3 l\u00e0 m\u1ed9t \u0111\u1eb7c t\u00ednh c\u1ed1 h\u1eefu c\u1ee7a c\u00e1c h\u1ec7 phi tuy\u1ebfn, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00ednh ng\u1eabu nhi\u00ean n\u1ed9i t\u1ea1i. T\u00ednh ng\u1eabu nhi\u00ean n\u1ed9i t\u1ea1i l\u00e0 \u0111\u1eb7c tr\u01b0ng c\u1ee7a m\u1ed9t ng\u00e0nh khoa h\u1ecdc m\u1edbi: l\u00ed lu\u1eadn v\u1ec1 tr\u1ea1ng th\u00e1i h\u1ed7n \u0111\u1ed9n.<\/p>\n\n\n\n<p>T\u00ednh x\u00e1c \u0111\u1ecbnh c\u00f3 bao h\u00e0m t\u00ednh ng\u1eabu nhi\u00ean. \u1ede \u0111\u00e2y xu\u1ea5t hi\u1ec7n quy lu\u1eadt th\u1ed1ng nh\u1ea5t gi\u1eefa c\u00e1c m\u1eb7t \u0111\u1ed1i l\u1eadp. Do ph\u00e9p thay th\u1ebf d\u1ea7n c\u00f3 bao h\u00e0m c\u00e1c s\u1ef1 ki\u1ec7n ngo\u00e0i s\u1ef1 ti\u00ean li\u1ec7u. S\u1ef1 xu\u1ea5t hi\u1ec7n c\u00e1c s\u1ed1 ng\u1eabu nhi\u00ean gi\u00fap ng\u01b0\u1eddi ta nh\u1eadn th\u1ee9c s\u00e2u h\u01a1n v\u1ec1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n<p>T\u1eeb kho\u00e1: S\u1ef1 thay th\u1ebf d\u1ea7n; S\u1ed1 ng\u1eabu nhi\u00ean.<\/p>\n\n\n\n<p><\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>H\u00ecnh v\u1ebd \u1edf b\u00ean d\u01b0\u1edbi l\u00e0 m\u1ed9t h\u00e0m b\u1eadc hai y = ax(1 &#8211; x); 0 &lt; x &lt;1, a l\u00e0 m\u1ed9t tham s\u1ed1. V\u1edbi x = 1\/2ta nh\u1eadn \u0111\u01b0\u1ee3c c\u1ef1c tr\u1ecb c\u1ee7a \u0111\u01b0\u1eddng parabon. V\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb 0 &lt; x &lt; 1, ta s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m y duy nh\u1ea5t tr\u00ean \u0111\u01b0\u1eddng [&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":[15,9],"tags":[],"class_list":["post-7708","post","type-post","status-publish","format-standard","hentry","category-hoi-dap-khoa-hoc","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7708","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=7708"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7708\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=7708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=7708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=7708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}