{"id":29929,"date":"2023-04-25T09:51:59","date_gmt":"2023-04-25T02:51:59","guid":{"rendered":"https:\/\/chanhkien.org\/?p=29929"},"modified":"2025-05-12T10:20:09","modified_gmt":"2025-05-12T03:20:09","slug":"thuat-so-man-dam-toan-co-duoc-the-hien-trong-lac-thu","status":"publish","type":"post","link":"https:\/\/chanhkien.org\/2023\/04\/thuat-so-man-dam-toan-co-duoc-the-hien-trong-lac-thu.html","title":{"rendered":"Thu\u1eadt s\u1ed1 m\u1ea1n \u0111\u00e0m: To\u00e0n c\u01a1 \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n trong L\u1ea1c th\u01b0"},"content":{"rendered":"<p><b>[ChanhKien.org]<\/b><\/p>\n<p>Ng\u01b0\u1edbc nh\u00ecn thi\u00ean v\u0103n, tinh di \u0111\u1ea9u chuy\u1ec3n, chim bay th\u1ecf ch\u1ea1y. Trong con m\u1eaft nh\u00e2n lo\u1ea1i, thi\u00ean \u0111\u1ecba th\u01b0\u01a1ng khung ch\u00ednh l\u00e0 m\u1ed9t b\u1ed9 to\u00e0n c\u01a1 l\u1edbn. B\u00e0i vi\u1ebft n\u00e0y ti\u1ebfp t\u1ee5c d\u00f9ng ph\u01b0\u01a1ng th\u1ee9c to\u00e1n thu\u1eadt ch\u1eef s\u1ed1 \u0111\u1ec3 gi\u1ea3i L\u1ea1c th\u01b0, t\u00ecm hi\u1ec3u c\u01a1 ch\u1ebf to\u00e0n c\u01a1 trong L\u1ea1c th\u01b0, c\u0169ng ch\u00ednh l\u00e0 to\u00e0n c\u01a1 th\u1ec3 hi\u1ec7n trong L\u1ea1c th\u01b0 nh\u01b0 th\u1ebf n\u00e0o.<\/p>\n<p>4 9 2<\/p>\n<p>3 5 7<\/p>\n<p>8 1 6<\/p>\n<p>Tr\u01b0\u1edbc h\u1ebft xin gi\u1edbi thi\u1ec7u m\u1ed9t quan \u0111i\u1ec3m c\u01a1 b\u1ea3n v\u1ec1 L\u1ea1c th\u01b0. L\u1ea1c th\u01b0 ng\u01b0\u1eddi ta th\u01b0\u1eddng g\u1ecdi l\u00e0 ph\u01b0\u01a1ng \u0111\u1ed3 (\u0111\u1ed3 h\u00ecnh vu\u00f4ng). V\u00ed d\u1ee5 c\u00e1ch s\u1eafp x\u1ebfp c\u1ee7a c\u1eedu cung s\u1ed1, ba h\u00e0ng ba c\u1ed9t, r\u00f5 r\u00e0ng l\u00e0 h\u00ecnh d\u1ea1ng c\u1ee7a m\u1ed9t h\u00ecnh vu\u00f4ng. Nh\u01b0 v\u1eady, L\u1ea1c th\u01b0 c\u0169ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ph\u01b0\u01a1ng \u0111\u1ed3. Nh\u01b0ng m\u00e0, c\u00e1ch n\u00f3i n\u00e0y, ch\u1ec9 \u0111\u01b0\u1ee3c t\u00ednh l\u00e0 m\u1ed9t n\u1eeda, c\u00f2n c\u00f3 m\u1ed9t n\u1eeda n\u1eefa, L\u1ea1c th\u01b0 c\u0169ng c\u00f3 th\u1ec3 g\u1ecdi l\u00e0 vi\u00ean \u0111\u1ed3 (\u0111\u1ed3 h\u00ecnh tr\u00f2n). C\u00e1ch gi\u1ea3i th\u00edch c\u1ee7a c\u1ed5 nh\u00e2n r\u1ea5t \u0111\u01a1n gi\u1ea3n, 9 5 1, 3 5 7, 4 5 6, 2 5 8, b\u1ed1n nh\u00f3m s\u1ed1 n\u00e0y \u0111\u1ec1u c\u00f3 t\u1ed5ng l\u00e0 15, r\u1ea5t gi\u1ed1ng v\u1edbi t\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng k\u00ednh h\u00ecnh tr\u00f2n. Nh\u01b0 v\u1eady, L\u1ea1c th\u01b0 c\u0169ng \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t h\u00ecnh tr\u00f2n v\u1edbi t\u00e2m l\u00e0 s\u1ed1 5, c\u00f2n l\u1ea1i 8 s\u1ed1 kh\u00e1c \u0111\u01b0\u1ee3c ph\u00e2n b\u1ed1 \u0111\u1ec1u quanh h\u00ecnh tr\u00f2n.<\/p>\n<p>Trong l\u1ecbch s\u1eed, v\u1ea5n \u0111\u1ec1 L\u1ea1c th\u01b0 bao g\u1ed3m c\u1ea3 vu\u00f4ng l\u1eabn tr\u00f2n n\u00e0y, th\u00ec ng\u01b0\u1eddi n\u00f3i r\u00f5 r\u00e0ng nh\u1ea5t l\u00e0 V\u1ea1n Ni\u00ean Thu\u1ea7n v\u00e0o th\u1eddi nh\u00e0 Thanh. V\u1ea1n Ni\u00ean Thu\u1ea7n l\u00e0 c\u1eed nh\u00e2n v\u00e0o th\u1eddi C\u00e0n Long, t\u1eebng l\u00e0m ch\u1ee9c huy\u1ec7n th\u00e1i gia, c\u00f3 t\u00e1c ph\u1ea9m \u201c\u0110\u1ed9ng \u0110\u00ecnh H\u1ed3 ch\u00ed\u201d. Trong c\u00e1c t\u00e1c ph\u1ea9m nho h\u1ecdc c\u1ee7a V\u1ea1n Ni\u00ean Thu\u1ea7n, c\u00f3 m\u1ed9t \u0111\u1ed3 h\u00ecnh L\u1ea1c th\u01b0 ngo\u00e0i tr\u00f2n trong vu\u00f4ng. Tra kh\u1eafp c\u00e1c s\u00e1ch v\u1edf c\u1ee7a c\u1ed5 nh\u00e2n, t\u00f4i cho r\u1eb1ng \u0111\u1ed3 h\u00ecnh \u0111\u00f3 c\u00f3 mang theo thi\u00ean c\u01a1 s\u00e2u s\u1eafc. C\u1ea5u t\u1ea1o c\u1ee7a \u0111\u1ed3 h\u00ecnh L\u1ea1c th\u01b0 ngo\u00e0i tr\u00f2n trong vu\u00f4ng nh\u01b0 sau:<\/p>\n\n\t\t<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 33%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n\t\t<div id='gallery-1' class='gallery galleryid-29929 gallery-columns-3 gallery-size-full'><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/chanhkien.org\/08dbc8d3-0589-4504-91ae-a8e8fb000937'><img decoding=\"async\" width=\"572\" height=\"556\" src=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/08DBC8D3-0589-4504-91AE-A8E8FB000937.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/08DBC8D3-0589-4504-91AE-A8E8FB000937.png 572w, https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/08DBC8D3-0589-4504-91AE-A8E8FB000937-300x292.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/a>\n\t\t\t<\/dt><\/dl>\n\t\t\t<br style='clear: both' \/>\n\t\t<\/div>\n\n<p>V\u1ebd m\u1ed9t v\u00f2ng tr\u00f2n, \u0111\u1eb7t s\u1ed1 5 v\u00e0o trung t\u00e2m, 8 s\u1ed1 c\u00f2n l\u1ea1i \u0111\u1eb7t \u1edf tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n, x\u1ebfp theo h\u00ecnh ch\u1eef \u7c73 trong ch\u1eef H\u00e1n. 9 \u1edf tr\u00ean, 1 \u1edf d\u01b0\u1edbi, 3 b\u00ean tr\u00e1i, 7 b\u00ean ph\u1ea3i, 4 \u1edf g\u00f3c tr\u00ean b\u00ean tr\u00e1i, 6 \u1edf g\u00f3c d\u01b0\u1edbi b\u00ean ph\u1ea3i, 2 \u1edf g\u00f3c tr\u00ean b\u00ean ph\u1ea3i, 8 \u1edf g\u00f3c d\u01b0\u1edbi b\u00ean tr\u00e1i.<\/p>\n<p>Ti\u1ebfp theo, 4 n\u1ed1i v\u1edbi 2, 2 n\u1ed1i 6, 6 n\u1ed1i 8, 8 n\u1ed1i 4. \u0110\u00e2y l\u00e0 h\u00ecnh vu\u00f4ng s\u1ed1 ch\u1eb5n.<\/p>\n<p>Sau \u0111\u00f3, 9 n\u1ed1i 7, 7 n\u1ed1i 1, 1 n\u1ed1i 3, 3 n\u1ed1i 9. \u0110\u00e2y l\u00e0 h\u00ecnh vu\u00f4ng s\u1ed1 l\u1ebb.<\/p>\n<p>Nh\u01b0 v\u1eady, \u0111\u1ed3 h\u00ecnh L\u1ea1c th\u01b0 ngo\u00e0i tr\u00f2n trong vu\u00f4ng \u0111\u00e3 h\u00ecnh th\u00e0nh.<\/p>\n<p>\u0110\u1ed3 h\u00ecnh L\u1ea1c th\u01b0 ngo\u00e0i tr\u00f2n trong vu\u00f4ng c\u1ee7a V\u1ea1n Ni\u00ean Thu\u1ea7n l\u00e0 th\u1ec3 hi\u1ec7n trong tr\u1ea1ng th\u00e1i t\u0129nh, gi\u1edd ch\u00fang ta xem x\u00e9t \u0111\u1ebfn hi\u1ec7u qu\u1ea3 c\u1ee7a \u0111\u1ed3 h\u00ecnh n\u00e0y trong tr\u1ea1ng th\u00e1i \u0111\u1ed9ng.<\/p>\n<p>H\u00ecnh 1: 4 ch\u1ec9 2, 2 ch\u1ec9 6, 6 ch\u1ec9 8, 8 ch\u1ec9 4; 9 ch\u1ec9 2, 2 ch\u1ec9 7, 7 ch\u1ec9 6, 6 ch\u1ec9 1, 1 ch\u1ec9 8, 8 ch\u1ec9 3, 3 ch\u1ec9 4, 4 ch\u1ec9 9. H\u00ecnh n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh to\u00e0n c\u01a1 theo h\u01b0\u1edbng xu\u00f4i:<\/p>\n<p><a href=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/8CC47EED-026C-4AB8-86DF-7F8086DCF3B9.png\"><img decoding=\"async\" class=\"aligncenter size-medium wp-image-29931\" src=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/8CC47EED-026C-4AB8-86DF-7F8086DCF3B9-300x285.png\" alt=\"\" width=\"300\" height=\"285\" srcset=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/8CC47EED-026C-4AB8-86DF-7F8086DCF3B9-300x285.png 300w, https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/8CC47EED-026C-4AB8-86DF-7F8086DCF3B9.png 578w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>H\u00ecnh 2: 4 ch\u1ec9 8, 8 ch\u1ec9 6, 6 ch\u1ec9 2, 2 ch\u1ec9 4; 9 ch\u1ec9 3, 3 ch\u1ec9 1, 1 ch\u1ec9 7, 7 ch\u1ec9 9; 9 ch\u1ec9 4, 4 ch\u1ec9 3, 3 ch\u1ec9 8, 8 ch\u1ec9 1, 1 ch\u1ec9 6, 6 ch\u1ec9 7, 7 ch\u1ec9 2, 2 ch\u1ec9 9. H\u00ecnh n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh to\u00e0n c\u01a1 theo h\u01b0\u1edbng ng\u01b0\u1ee3c:<\/p>\n<p><a href=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/7C972251-934F-4364-A762-537C8CA9AF35.png\"><img decoding=\"async\" class=\"size-medium wp-image-29932 aligncenter\" src=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/7C972251-934F-4364-A762-537C8CA9AF35-300x285.png\" alt=\"\" width=\"300\" height=\"285\" srcset=\"https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/7C972251-934F-4364-A762-537C8CA9AF35-300x285.png 300w, https:\/\/chanhkien.org\/wp-content\/uploads\/2023\/04\/7C972251-934F-4364-A762-537C8CA9AF35.png 578w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Ch\u00fang ta \u0111\u00e3 t\u1ea1o xong h\u00ecnh, hi\u1ec7n gi\u1edd c\u00f3 th\u1ec3 l\u1ea5y s\u1ed1 l\u00e0m ph\u00e9p t\u00ednh. C\u00e1ch l\u1ea5y s\u1ed1 v\u1eabn l\u00e0 d\u00f9ng h\u00ecnh to\u00e0n c\u01a1 h\u01b0\u1edbng xu\u00f4i v\u00e0 h\u00ecnh to\u00e0n c\u01a1 h\u01b0\u1edbng ng\u01b0\u1ee3c \u0111\u1ed1i \u1ee9ng m\u00e0 l\u1ea5y s\u1ed1.<\/p>\n<p>M\u1ed9t ph\u1ea7n t\u01b0 \u0111\u01b0\u1eddng tr\u00f2n hai \u0111\u1ea7u l\u00e0 s\u1ed1 ch\u1eb5n.<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: 492, 276, 618, 834.<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: 438, 816, 672, 294.<\/p>\n<p>492+276+618+834=2220<\/p>\n<p>438+816+672+294=\u00a0?<\/p>\n<p>492^2+276^2+618^2+834^2= <span dir=\"ltr\">1395720<\/span><\/p>\n<p>438^2+816^2+672^2+294^2=\u00a0?<\/p>\n<p>492^3+276^3+618^3+834^3=<span dir=\"ltr\">956242800<\/span><\/p>\n<p>438^3+816^3+672^3+294^3=?<\/p>\n<p>C\u00f3 b\u1ea1n nh\u1eafc nh\u1edf t\u00f4i, r\u1eb1ng c\u00e1ch t\u00ednh n\u00e0y c\u1ee7a anh kh\u00f4ng sai ch\u1ee9, n\u1ebfu vi\u1ebft b\u1eeba th\u00ec c\u00f3 th\u1ec3 g\u00e2y \u1ea3nh h\u01b0\u1edfng kh\u00f4ng t\u1ed1t, ch\u00fang ta c\u1ea7n ch\u00fa \u00fd ch\u1ea5t l\u01b0\u1ee3ng b\u00e0i vi\u1ebft. Ha ha, l\u1eddi nh\u1eafc nh\u1edf n\u00e0y t\u1ed1t, c\u00e1c ph\u00e9p t\u00ednh n\u00e0y, l\u01b0u l\u1ea1i m\u1ed9t n\u1eeda \u0111\u1ec3 b\u1ea1n \u0111\u1ecdc t\u1ef1 t\u00ednh. Xin b\u1ed5 sung ch\u00fat, ^2 l\u00e0 b\u00ecnh ph\u01b0\u01a1ng, ^3 l\u00e0 l\u1eadp ph\u01b0\u01a1ng.<\/p>\n<p>M\u1ed9t ph\u1ea7n t\u01b0 \u0111\u01b0\u1eddng tr\u00f2n hai \u0111\u1ea7u l\u00e0 s\u1ed1 l\u1ebb.<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: 927, 761, 183, 349<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: 943, 381, 167, 729<\/p>\n<p>927+761+183+349=2220<\/p>\n<p>943+381+167+729=2220<\/p>\n<p>927^2+761^2+183^2+349^2=<span dir=\"ltr\">1593740<\/span><\/p>\n<p>943^2+381^2+167^2+729^2=<span dir=\"ltr\">1593740<\/span><\/p>\n<p>927^3+761^3+183^3+349^3=<span dir=\"ltr\">1285946100<\/span><\/p>\n<p>943^3+381^3+167^3+729^3=<span dir=\"ltr\">1285946100<\/span><\/p>\n<p>To\u00e0n b\u1ed9 h\u00ecnh tr\u00f2n s\u1ed1 ch\u1eb5n:<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: <span dir=\"ltr\">49276183<\/span>, <span dir=\"ltr\">27618349<\/span>, <span dir=\"ltr\">61834927<\/span>, <span dir=\"ltr\">83492761<\/span><\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: <span dir=\"ltr\">43816729<\/span>, <span dir=\"ltr\">81672943<\/span>, <span dir=\"ltr\">67294381<\/span>, <span dir=\"ltr\">29438167<\/span><\/p>\n<p>49276183+27618349+61834927+83492761=<span dir=\"ltr\">222222220<\/span><\/p>\n<p>43816729+81672943+67294381+29438167=<span dir=\"ltr\">222222220<\/span><\/p>\n<p>49276183^2+27618349^2+61834927^2+83492761^2=13985514749033740<\/p>\n<p>43816729^2+81672943^2+67294381^2+29438167^2=13985514749033740<\/p>\n<p>49276183^3+27618349^3+61834927^3+83492761^3=959177030199175157646100<\/p>\n<p>43816729^3+81672943^3+67294381^3+29438167^3=959177030199175157646100<\/p>\n<p>To\u00e0n b\u1ed9 h\u00ecnh tr\u00f2n s\u1ed1 l\u1ebb:<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: <span dir=\"ltr\">92761834<\/span>, <span dir=\"ltr\">76183492<\/span>, <span dir=\"ltr\">18349276<\/span>, <span dir=\"ltr\">34927618<\/span><\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: <span dir=\"ltr\">94381672<\/span>, <span dir=\"ltr\">38167294<\/span>, <span dir=\"ltr\">16729438<\/span>, <span dir=\"ltr\">72943816<\/span><\/p>\n<p>92761834+76183492+18349276+34927618=<span dir=\"ltr\">222222220<\/span><\/p>\n<p>94381672+38167294+16729438+72943816=<span dir=\"ltr\">222222220<\/span><\/p>\n<p>92761834^2+76183492^2+18349276^2+34927618^2=15965316729235720<\/p>\n<p>94381672^2+38167294^2+16729438^2+72943816^2=15965316729235720<\/p>\n<p>92761834^3+76183492^3+18349276^3+34927618^3=1289144023599835190642800<\/p>\n<p>94381672^3+38167294^3+16729438^3+72943816^3=1289144023599835190642800<\/p>\n<p>\u1ede \u0111\u00e2y xin ch\u1ec9 ra m\u1ed9t \u0111i\u1ec3m, tr\u00ean th\u1ef1c t\u1ebf, to\u00e0n b\u1ed9 t\u00ecnh h\u00ecnh \u0111\u00e3 \u0111\u01b0\u1ee3c bao h\u00e0m trong \u201cTo\u00e0n b\u1ed9 h\u00ecnh tr\u00f2n s\u1ed1 l\u1ebb\u201d v\u00e0 \u201cTo\u00e0n b\u1ed9 h\u00ecnh tr\u00f2n s\u1ed1 ch\u1eb5n\u201d. Xin ch\u00fa \u00fd, t\u1eeb 1 \u0111\u1ebfn 9, ch\u1ec9 c\u00f3 9 ch\u1eef s\u1ed1, kh\u00f4ng d\u00f9ng \u0111\u1ebfn s\u1ed1 5, th\u00ec trong qu\u00e1 tr\u00ecnh t\u1ed5 h\u1ee3p kh\u00f4ng c\u00f3 c\u00e1c s\u1ed1 m\u00e0 ch\u1eef s\u1ed1 b\u1ecb l\u1eb7p l\u1ea1i, nhi\u1ec1u nh\u1ea5t ch\u1ec9 c\u00f3 8 ch\u1eef s\u1ed1. Do v\u1eady, hai t\u00ecnh hu\u1ed1ng n\u00e0y \u0111\u00e3 \u0111\u1ea1t t\u1edbi t\u00ecnh hu\u1ed1ng c\u1ef1c h\u1ea1n. N\u1ebfu d\u00f9ng \u0111\u1ebfn 5, th\u00ec y\u00eau c\u1ea7u l\u00e0 trong l\u00fac l\u1ea5y s\u1ed1 theo h\u01b0\u1edbng xu\u00f4i v\u00e0 l\u1ea5y s\u1ed1 theo h\u01b0\u1edbng ng\u01b0\u1ee3c \u0111\u1ec1u ph\u1ea3i l\u00e0 5. \u0110i\u1ec3m n\u00e0y trong m\u1ed9t b\u00e0i m\u1ea1n \u0111\u00e0m tr\u01b0\u1edbc \u0111\u00e2y, n\u00f3i v\u1ec1 h\u00ecnh ch\u1eef v\u1ea1n, \u0111\u00e3 c\u00f3 v\u00ed d\u1ee5 r\u1ed3i.<\/p>\n<p>H\u00ecnh vu\u00f4ng s\u1ed1 l\u1ebb:<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: 97, 71, 13, 39<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: 93, 31, 17, 79<\/p>\n<p>97+71+13+39=220<\/p>\n<p>93+31+17+79=220<\/p>\n<p>97^2+71^2+13^2+39^2=16140<\/p>\n<p>93^2+31^2+17^2+79^2=16140<\/p>\n<p>97^3+71^3+13^3+39^3=<span dir=\"ltr\">1332100<\/span><\/p>\n<p>93^3+31^3+17^3+79^3=<span dir=\"ltr\">1332100<\/span><\/p>\n<p>H\u00ecnh vu\u00f4ng s\u1ed1 ch\u1eb5n:<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: 42, 26, 68, 84<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: 48, 86, 62, 24<\/p>\n<p>42+26+68+84=220<\/p>\n<p>48+86+62+24=220<\/p>\n<p>42^2+26^2+68^2+84^2=14120<\/p>\n<p>48^2+86^2+62^2+24^2=14120<\/p>\n<p>42^3+26^3+68^3+84^3=998800<\/p>\n<p>48^3+86^3+62^3+24^3=998800<\/p>\n<p>Cu\u1ed1i c\u00f9ng, xin \u0111\u1ec3 l\u1ea1i cho b\u1ea1n \u0111\u1ecdc m\u1ed9t ch\u00fat luy\u1ec7n t\u1eadp t\u00ednh to\u00e1n:<\/p>\n<p>\u0110\u01b0\u1eddng th\u1eb3ng c\u1ed9ng \u0111o\u1ea1n cong:<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng xu\u00f4i: 427, 261, 683, 849<\/p>\n<p>L\u1ea5y theo h\u01b0\u1edbng ng\u01b0\u1ee3c: 481, 867, 629, 243<\/p>\n<p>427+261+683+849=<\/p>\n<p>481+867+629+243=<\/p>\n<p>427^2+261^2+683^2+849^2=<\/p>\n<p>481^2+867^2+629^2+243^2=<\/p>\n<p>427^3+261^3+683^3+849^3=<\/p>\n<p>481^3+867^3+629^3+243^3=<\/p>\n<p>N\u00f3i chung, h\u01b0\u1edbng xu\u00f4i \u0111\u01b0\u1ee3c c\u00e1c s\u1ed1 a, b, c, d; h\u01b0\u1edbng ng\u01b0\u1ee3c \u0111\u01b0\u1ee3c e, f, g, h. V\u1eady th\u00ec \u0111\u01b0\u1ee3c:<\/p>\n<p>T\u1ed5ng c\u00e1c s\u1ed1\uff1aa+b+c+d=e+f+g+h<\/p>\n<p>T\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng\uff1aa^2+b^2+c^2+d^2=e^2+f^2+g^2+h^2<\/p>\n<p>T\u1ed5ng l\u1eadp ph\u01b0\u01a1ng\uff1aa^3+b^3+c^3+d^3=e^3+f^3+g^3+h^3<\/p>\n<p>Ch\u00fang t\u00f4i vi\u1ebft nhi\u1ec1u bi\u1ec3u th\u1ee9c nh\u01b0 v\u1eady, tr\u00ean th\u1ef1c t\u1ebf, c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c l\u1ea5y c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u1ebfn m\u1ee9c l\u1edbn t\u00f9y \u00fd, v\u00ed d\u1ee5 l\u1ea5y vi\u1ec7c ch\u1ea1y theo v\u00f2ng tr\u00f2n tu\u1ea7n ho\u00e0n m\u00e0 l\u1ea5y s\u1ed1, th\u00ec ch\u1ecdn l\u1ea5y 8 s\u1ed1 c\u00f3 99999 ch\u1eef s\u1ed1 c\u0169ng r\u1ea5t d\u1ec5 d\u00e0ng.<\/p>\n<p>Ch\u1ec9 c\u00f3 9 s\u1ed1 l\u00e0 h\u1ebft, m\u00e0 bi\u1ec3u th\u1ee9c v\u00f4 c\u00f9ng.<\/p>\n<p>C\u00f3 b\u1ea1n s\u1ebd suy x\u00e9t, c\u00e1c lo\u1ea1i t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng, l\u1eadp ph\u01b0\u01a1ng v\u00e0 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng ph\u00eda sau, c\u00f3 n\u1ed9i h\u00e0m s\u00e2u h\u01a1n kh\u00f4ng? V\u1ea5n \u0111\u1ec1 n\u00e0y \u0111\u00e3 ti\u1ebfp c\u1eadn \u0111\u1ebfn b\u1ea3n ch\u1ea5t, t\u00f4i bi\u1ebft th\u1ee9 s\u00e2u h\u01a1n l\u00e0 g\u00ec. \u1ede \u0111\u00e2y ch\u1ec9 vi\u1ebft m\u1ed9t c\u00e2u n\u00f3i \u0111\u00f9a, \u0111\u00e1p \u00e1n l\u00e0 c\u00f3 li\u00ean quan \u0111\u1ebfn tam t\u00e0i Thi\u00ean \u0110\u1ecba Nh\u00e2n. N\u1ebfu c\u00f3 c\u01a1 h\u1ed9i ti\u1ebfp t\u1ee5c vi\u1ebft c\u00e1c b\u00e0i gi\u1ea3i L\u1ea1c th\u01b0, c\u00f3 th\u1ec3 t\u00f4i s\u1ebd n\u00f3i chi ti\u1ebft v\u1ea5n \u0111\u1ec1 n\u00e0y. N\u00f3i th\u1eadt, l\u00e0m c\u00e1c b\u00e0i vi\u1ebft v\u1ec1 to\u00e1n thu\u1eadt c\u00f3 ch\u00fat gian kh\u1ed5, c\u1ee9 ph\u1ea3i tr\u00ecnh b\u00e0y ph\u00e9p t\u00ednh t\u1edbi lui, x\u00e1c nh\u1eadn k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c kh\u00f4ng sai.<\/p>\n<p>D\u1ecbch t\u1eeb: <a class=\"external free\" href=\"https:\/\/www.zhengjian.org\/node\/55635\" rel=\"nofollow\">https:\/\/www.zhengjian.org\/node\/55635<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ChanhKien.org] Ng\u01b0\u1edbc nh\u00ecn thi\u00ean v\u0103n, tinh di \u0111\u1ea9u chuy\u1ec3n, chim bay th\u1ecf ch\u1ea1y. Trong con m\u1eaft nh\u00e2n lo\u1ea1i, thi\u00ean \u0111\u1ecba th\u01b0\u01a1ng khung ch\u00ednh l\u00e0 m\u1ed9t b\u1ed9 to\u00e0n c\u01a1 l\u1edbn. B\u00e0i vi\u1ebft n\u00e0y ti\u1ebfp t\u1ee5c d\u00f9ng ph\u01b0\u01a1ng th\u1ee9c to\u00e1n thu\u1eadt ch\u1eef s\u1ed1 \u0111\u1ec3 gi\u1ea3i L\u1ea1c th\u01b0, t\u00ecm hi\u1ec3u c\u01a1 ch\u1ebf to\u00e0n c\u01a1 trong L\u1ea1c th\u01b0, c\u0169ng [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","ngg_post_thumbnail":0,"footnotes":""},"categories":[12],"tags":[421],"class_list":["post-29929","post","type-post","status-publish","format-standard","hentry","category-khoa-hoc","tag-thuat-so-man-dam"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Thu\u1eadt s\u1ed1 m\u1ea1n \u0111\u00e0m: To\u00e0n c\u01a1 \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n trong L\u1ea1c th\u01b0 - Ch\u00e1nh Ki\u1ebfn Net<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/chanhkien.org\/2023\/04\/thuat-so-man-dam-toan-co-duoc-the-hien-trong-lac-thu.html\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Thu\u1eadt s\u1ed1 m\u1ea1n \u0111\u00e0m: To\u00e0n c\u01a1 \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n trong L\u1ea1c th\u01b0 - Ch\u00e1nh Ki\u1ebfn Net\" \/>\n<meta property=\"og:description\" content=\"[ChanhKien.org] Ng\u01b0\u1edbc nh\u00ecn thi\u00ean v\u0103n, tinh di \u0111\u1ea9u chuy\u1ec3n, chim bay th\u1ecf ch\u1ea1y. 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