{"id":16148,"date":"2021-11-27T20:05:14","date_gmt":"2021-11-27T13:05:14","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=16148"},"modified":"2021-11-27T20:05:15","modified_gmt":"2021-11-27T13:05:15","slug":"vi-sao-cac-manh-va-tren-be-mat-trai-banh-lai-co-dang-ngu-giac-va-luc-giac","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/vi-sao-cac-manh-va-tren-be-mat-trai-banh-lai-co-dang-ngu-giac-va-luc-giac\/","title":{"rendered":"V\u00ec sao c\u00e1c m\u1ea3nh v\u00e1 tr\u00ean b\u1ec1 m\u1eb7t tr\u00e1i banh l\u1ea1i c\u00f3 d\u1ea1ng ng\u0169 gi\u00e1c v\u00e0 l\u1ee5c gi\u00e1c?"},"content":{"rendered":"\n<p>T\u1eeb kh\u00f3a t\u00ecm ki\u1ebfm: H\u00e3y Tr\u1ea3 L\u1eddi Em T\u1ea1i Sao? \u2013 T\u1eadp 10 &#8211; Arkady Leokum<\/p>\n\n\n\n<p>M\u1ecdi ng\u01b0\u1eddi th\u01b0\u1eddng kh\u00f4ng li\u00ean t\u01b0\u1edfng b\u00f3ng \u0111\u00e1 v\u1edbi to\u00e1n h\u1ecdc cao c\u1ea5p nh\u01b0ng vi\u1ec7c ch\u1ea5p v\u00e1 m\u01b0\u1eddi hai h\u00ecnh ng\u0169 gi\u00e1c m\u00e0u \u0111en v\u00e0 hai m\u01b0\u01a1i h\u00ecnh l\u1ee5c gi\u00e1c m\u00e0u tr\u1eafng bao quanh tr\u00e1i banh truy\u1ec1n th\u1ed1ng l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a hai \u0111\u1ecbnh l\u00fd s\u00e2u s\u1eafc.<\/p>\n\n\n\n<p>\u0110\u1ecbnh l\u00fd th\u1ee9 nh\u1ea5t, \u0111\u01b0\u1ee3c ch\u1ee9ng minh b\u1edfi nh\u00e0 to\u00e1n h\u1ecdc v\u0129 \u0111\u1ea1i Carl Gauss n\u0103m 1828, ch\u1ec9 ra r\u1eb1ng kh\u00f4ng th\u1ec3 l\u00e0m ra m\u1ed9t h\u00ecnh c\u1ea7u ho\u00e0n h\u1ea3o t\u1eeb b\u1ea5t k\u00ec v\u1eadt g\u00ec h\u00ecnh ph\u1eb3ng: s\u1ebd lu\u00f4n lu\u00f4n c\u00f3 c\u00e1c n\u1ebfp nh\u0103n ho\u1eb7c b\u1ecb m\u00e9o m\u00f3. Nh\u1eefng <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">chuy\u00ean gia<\/a> l\u00e0m b\u1ea3n \u0111\u1ed3 \u0111\u00e3 bi\u1ebft v\u1ec1 \u0111i\u1ec1u \u0111\u00f3 r\u1ea5t l\u00e2u tr\u01b0\u1edbc khi Carl Gauss ch\u1ee9ng minh n\u00f3 m\u1ed9t c\u00e1ch ch\u00ednh quy v\u00e0 ti\u1ebfn t\u1edbi th\u1ef1c hi\u1ec7n m\u1ed9t d\u00e3y \u0111\u1ea7y \u0111\u1ee7 c\u00e1c \u201c\u0111\u1ec1 \u00e1n\u201d b\u1ea3n \u0111\u1ed3, m\u00f4 t\u1ea3 b\u1ec1 m\u1eb7t cong c\u1ee7a tr\u00e1i \u0111\u1ea5t tr\u00ean c\u00e1c m\u1ea3nh gi\u1ea5y ph\u1eb3ng nh\u01b0ng lu\u00f4n lu\u00f4n c\u00f3 c\u00e1c sai l\u1ec7ch \u1edf m\u1ed9t trong c\u00e1c m\u1ea3nh gi\u1ea5y.<\/p>\n\n\n\n<p>\u0110\u1ed1i v\u1edbi c\u00e1c nh\u00e0 s\u1ea3n xu\u1ea5t, v\u1ea5n \u0111\u1ec1 l\u00e0 l\u00e0m sao \u0111\u1ec3 ch\u1ebf t\u1ea1o m\u1ed9t qu\u1ea3 banh ch\u1eafc ch\u1eafn v\u00e0 c\u00f3 th\u1ec3 b\u01a1m ph\u1ed3ng sao cho n\u00f3 c\u00e0ng gi\u1ed1ng h\u00ecnh c\u1ea7u c\u00e0ng t\u1ed1t. Vi\u1ec7c ch\u1ea5p v\u00e1 c\u00e1c m\u1ea3nh da t\u01b0\u01a1ng \u0111\u1ed1i l\u1edbn l\u00e0 m\u1ed9t gi\u1ea3i ph\u00e1p hay, do n\u00f3 l\u00e0m h\u1ea1n ch\u1ebf vi\u1ec7c ph\u1ea3i kh\u00e2u v\u00e1 nhi\u1ec1u, \u0111\u1ed1i ph\u00f3 t\u00e1c \u0111\u1ed9ng c\u1ee7a c\u00e1c c\u00fa s\u00fat v\u00e0 s\u1ef1 n\u1ea3y c\u1ee7a qu\u1ea3 b\u00f3ng.<\/p>\n\n\n\n<p>H\u00ecnh d\u1ea1ng c\u1ee7a c\u00e1c mi\u1ebfng da c\u00f2n li\u00ean quan \u0111\u1ebfn m\u1ed9t \u0111\u1ecbnh lu\u1eadt do Rene Descartes t\u00ecm ra n\u0103m 1935 (nh\u01b0ng \u0111\u01b0\u1ee3c \u0111\u1eb7t t\u00ean l\u00e0 c\u00f4ng th\u1ee9c Euler, sau khi nh\u00e0 to\u00e1n h\u1ecdc t\u00eann Euler ph\u00e1t hi\u1ec7n l\u1ea1i n\u00f3 v\u00e0o m\u1ed9t th\u1ebf k\u1ec9 sau \u0111\u00f3). \u0110\u1ecbnh l\u00fd n\u00e0y kh\u1eb3ng \u0111\u1ecbnh r\u1eb1ng, \u0111\u1ed1i v\u1edbi b\u1ea5t k\u00ec v\u1eadt r\u1eafn n\u00e0o c\u00f3 d\u1ea1ng ng\u0169 gi\u00e1c, t\u1ed5ng s\u1ed1 c\u00e1c m\u1eb7t v\u00e0 c\u00e1c g\u00f3c b\u1eb1ng v\u1edbi t\u1ed5ng s\u1ed1 c\u1ea1nh c\u1ed9ng v\u1edbi 2. V\u00ed d\u1ee5 nh\u01b0, \u0111\u1ed1i v\u1edbi c\u00e1c h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, ch\u00fang ta c\u00f3 6 m\u1eb7t v\u00e0 8 g\u00f3c, t\u1ed5ng c\u1ed9ng l\u00e0 14, b\u1eb1ng v\u1edbi t\u1ed5ng s\u1ed1 c\u1ea1nh l\u00e0 12 c\u1ed9ng v\u1edbi 2. S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c n\u00e0y, ch\u00fang ta \u0111\u00e3 ph\u00e1t hi\u1ec7n ra s\u1ef1 k\u1ebft h\u1ee3p c\u1ee7a 12 h\u00ecnh ng\u0169 gi\u00e1c v\u00e0 20 h\u00ecnh l\u1ee5c gi\u00e1c l\u00e0 c\u1ea7n thi\u1ebft \u0111\u1ec3 t\u1ea1o n\u00ean m\u1ed9t v\u1eadt r\u1eafn h\u00ecnh c\u1ea7u t\u01b0\u01a1ng \u0111\u1ed1i m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n nh\u1ea5t. N\u00f3 \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn nh\u01b0 m\u1ed9t kh\u1ed1i 20 m\u1eb7t b\u1ecb c\u1eaft x\u00e9n v\u00e0 c\u00f3 th\u1ec3 th\u1ea5y ch\u00fang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i kh\u1eafp th\u1ebf gi\u1edbi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>T\u1eeb kh\u00f3a t\u00ecm ki\u1ebfm: H\u00e3y Tr\u1ea3 L\u1eddi Em T\u1ea1i Sao? \u2013 T\u1eadp 10 &#8211; Arkady Leokum M\u1ecdi ng\u01b0\u1eddi th\u01b0\u1eddng kh\u00f4ng li\u00ean t\u01b0\u1edfng b\u00f3ng \u0111\u00e1 v\u1edbi to\u00e1n h\u1ecdc cao c\u1ea5p nh\u01b0ng vi\u1ec7c ch\u1ea5p v\u00e1 m\u01b0\u1eddi hai h\u00ecnh ng\u0169 gi\u00e1c m\u00e0u \u0111en v\u00e0 hai m\u01b0\u01a1i h\u00ecnh l\u1ee5c gi\u00e1c m\u00e0u tr\u1eafng bao quanh tr\u00e1i banh truy\u1ec1n th\u1ed1ng l\u00e0 [&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],"tags":[],"class_list":["post-16148","post","type-post","status-publish","format-standard","hentry","category-hoi-dap-khoa-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16148","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=16148"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16148\/revisions"}],"predecessor-version":[{"id":16149,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16148\/revisions\/16149"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=16148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=16148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=16148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}