{"id":27739,"date":"2021-08-06T14:10:15","date_gmt":"2021-08-06T14:10:15","guid":{"rendered":"https:\/\/chanhkien.org\/?p=27739"},"modified":"2025-05-12T10:21:07","modified_gmt":"2025-05-12T03:21:07","slug":"kham-pha-luc-nghe-7-cuu-so","status":"publish","type":"post","link":"https:\/\/chanhkien.org\/2021\/08\/kham-pha-luc-nghe-7-cuu-so.html","title":{"rendered":"Kh\u00e1m ph\u00e1 l\u1ee5c ngh\u1ec7 (7): C\u1eedu s\u1ed1"},"content":{"rendered":"

[ChanhKien.org]<\/b><\/p>\n

C\u1eedu s\u1ed1 ch\u1ec9 ch\u00edn ch\u01b0\u01a1ng to\u00e1n thu\u1eadt, bao g\u1ed3m Ph\u01b0\u01a1ng \u0111i\u1ec1n \u65b9\u7530, T\u00fac m\u1ec5 \u7c9f\u7c73, Sai ph\u00e2n \u5dee\u5206, Thi\u1ebfu qu\u1ea3ng \u5c11\u5ee3, Th\u01b0\u01a1ng c\u00f4ng \u5546\u529f, Qu\u00e2n th\u00e2u \u5747\u8f38, Ph\u01b0\u01a1ng tr\u00ecnh \u65b9\u7a0b, Doanh b\u1ea5t t\u00fac \u76c8\u4e0d\u8db3, B\u00e0ng y\u1ebfu \u5fac\u8981, l\u00e0 ch\u00edn lo\u1ea1i ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong s\u1ed1 h\u1ecdc.<\/p>\n

H\u1ecdc to\u00e1n nh\u01b0 th\u1ebf n\u00e0o m\u1edbi \u0111\u1ea1t \u0111\u1ebfn thi\u00ean \u0111\u1ea1o?<\/p>\n

Ch\u00fang ta h\u00e3y l\u1ea5y v\u00ed d\u1ee5 v\u1ec1 vi\u1ec7c \u0111\u1ebfm s\u1ed1. Ch\u00fang ta \u0111\u1ebfm t\u1eeb 1 \u0111\u1ebfn 10, r\u1ed3i t\u1eeb 11 \u0111\u1ebfn 20, t\u1eeb 21 \u0111\u1ebfn 30\u2026 k\u1ef3 th\u1ef1c ch\u00ednh l\u00e0 \u0111\u1ebfm t\u1eeb 1 \u0111\u1ebfn 10, r\u1ed3i l\u1ea1i t\u1eeb 1 \u0111\u1ebfn 10, r\u1ed3i l\u1ea1i t\u1eeb 1 \u0111\u1ebfn 10 n\u1eefa, c\u1ee9 tu\u1ea7n ho\u00e0n l\u1eb7p l\u1ea1i, tu\u1ea7n ho\u00e0n l\u1eb7p l\u1ea1i nh\u01b0 v\u1eady cho \u0111\u1ebfn v\u00f4 c\u1ef1c. C\u00e2u m\u00e0 H\u1ee9a Th\u1eadn vi\u1ebft trong \u201cThuy\u1ebft V\u0103n Gi\u1ea3i T\u1ef1\u201d r\u1eb1ng \u201cTh\u1eadp, s\u1ed1 chi chung d\u00e3\u201d (s\u1ed1 10 c\u0169ng l\u00e0 s\u1ed1 cu\u1ed1i c\u00f9ng) \u0111\u00e3 kh\u00e1i qu\u00e1t cho ch\u00fang ta quy lu\u1eadt n\u00e0y. \u0110\u1ebfm s\u1ed1 v\u00ec sao l\u1ea1i \u0111\u1ebfm nh\u01b0 th\u1ebf? B\u1edfi v\u00ec \u0111\u1ea1o c\u1ee7a tr\u1eddi \u0111\u1ea5t l\u00e0 nh\u01b0 th\u1ebf, ng\u01b0\u1eddi x\u01b0a ch\u1eb3ng qua ch\u1ec9 l\u00e0 tu\u00e2n theo thi\u00ean \u0111\u1ea1o \u0111\u1ec3 h\u00e0nh s\u1ef1 m\u00e0 th\u00f4i. S\u1ef1 v\u1eadn h\u00e0nh c\u1ee7a m\u1eb7t tr\u1eddi v\u00e0 m\u1eb7t tr\u0103ng, s\u1ef1 l\u01b0u chuy\u1ec3n c\u1ee7a b\u1ed1n m\u00f9a, s\u1ef1 bi\u1ebfn \u0111\u1ed5i c\u1ee7a ng\u00e0y v\u00e0 \u0111\u00eam, th\u1ea3o m\u1ed9c t\u01b0\u01a1i t\u1ed1t r\u1ed3i kh\u00f4 h\u00e9o, vi\u1ec7c thay tri\u1ec1u \u0111\u1ed5i \u0111\u1ea1i, th\u1ebf s\u1ef1 h\u01b0ng suy, v\u00e2n v\u00e2n v\u00e0 v\u00e2n v\u00e2n, t\u1ea5t c\u1ea3 \u0111\u1ec1u \u0111\u1ebfn c\u1ef1c h\u1ea1n r\u1ed3i quay l\u1ea1i, tu\u1ea7n ho\u00e0n l\u1eb7p l\u1ea1i, h\u1ebft m\u1ed9t v\u00f2ng l\u00e0 l\u1ea1i quay tr\u1edf v\u1ec1 \u0111\u1ea7u nh\u01b0 v\u1eady. Ngay c\u1ea3 c\u00e1ch gieo v\u1ea7n b\u1eb1ng tr\u1eafc trong th\u01a1 c\u0169ng nh\u01b0 th\u1ebf.<\/p>\n

Trong “Chu d\u1ecbch \u2013 H\u1ec7 T\u1eeb Th\u01b0\u1ee3ng” c\u00f3 c\u00e2u: \u201cH\u00ecnh nhi th\u01b0\u1ee3ng gi\u1ea3 v\u1ecb chi \u0110\u1ea1o\u201d [1]\uff0ctheo c\u00e1c m\u00f4n, c\u00e1c ph\u00e1i m\u00e0 th\u1ef1c h\u00e0nh \u0111i l\u00ean, th\u00ec \u0111\u1ec1u c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m c\u0103n b\u1ea3n chung l\u00e0 \u0110\u1ea1o, V\u00f4 c\u1ef1c, Th\u00e1i c\u1ef1c cho \u0111\u1ebfn \u0111\u1eb7c t\u00ednh Ch\u00e2n Thi\u1ec7n Nh\u1eabn c\u1ee7a V\u0169 tr\u1ee5. \u0110\u00e2y ch\u00ednh l\u00e0 \u0111\u1ea1o l\u00fd, r\u1eb1ng c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c nhau \u0111i theo c\u00e1c con \u0111\u01b0\u1eddng kh\u00e1c nhau nh\u01b0ng \u0111\u1ec1u h\u01b0\u1edbng chung v\u1ec1 m\u1ed9t \u0111\u00edch.<\/p>\n

C\u00e1c ph\u00e9p gi\u1ea3i trong to\u00e1n h\u1ecdc nh\u01b0 c\u00f4ng th\u1ee9c, \u0111\u1ecbnh l\u00fd, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v.v.., nh\u00ecn b\u1ec1 m\u1eb7t th\u00ec ch\u1ec9 l\u00e0 nh\u1eefng k\u00fd hi\u1ec7u tr\u1eebu t\u01b0\u1ee3ng hay nh\u1eefng tr\u00ecnh b\u00e0y l\u00fd lu\u1eadn, nh\u01b0ng k\u1ef3 th\u1ef1c n\u00f3 \u0111\u1ec1u l\u00e0 th\u1ec3 hi\u1ec7n m\u1ed9t c\u00e1ch kh\u00e1i qu\u00e1t v\u1ec1 b\u1ea3n ch\u1ea5t c\u1ee7a c\u00e1c s\u1ef1 v\u1eadt c\u00f9ng lo\u1ea1i, l\u00e0 quy lu\u1eadt chung m\u00e0 c\u00e1c s\u1ef1 v\u1eadt c\u00f9ng lo\u1ea1i tu\u00e2n theo, l\u00e0 th\u1ec3 hi\u1ec7n c\u1ee7a ch\u00e2n l\u00fd t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a v\u0169 tr\u1ee5, c\u0169ng l\u00e0 c\u00e1ch th\u1ec3 hi\u1ec7n b\u1eb1ng k\u00fd hi\u1ec7u hay s\u1ef1 m\u00f4 t\u1ea3 theo c\u00e1ch \u0111\u01a1n gi\u1ea3n nh\u1ea5t c\u1ee7a quy lu\u1eadt thi\u00ean \u0111\u1ea1o [2]. Ng\u01b0\u1eddi h\u1ecdc to\u00e1n t\u1eeb nh\u1eefng \u0111\u1ecbnh l\u00fd, c\u00f4ng th\u1ee9c, ph\u01b0\u01a1ng tr\u00ecnh…m\u00e0 t\u00ecm t\u00f2i s\u00e2u h\u01a1n s\u1ebd ph\u00e1t hi\u1ec7n r\u1eb1ng s\u1ed1 h\u1ecdc kh\u00f4ng h\u1ec1 kh\u00f4 khan m\u00e0 ng\u01b0\u1ee3c l\u1ea1i l\u1ea1i \u00fd v\u1ecb nh\u01b0 th\u01a1, c\u00e1i n\u00e9t \u00fd v\u1ecb n\u00e0y kh\u00f4ng c\u00f3 ng\u00f4n t\u1eeb di\u1ec5n \u0111\u1ea1t tr\u1ecdn v\u1eb9n h\u1ebft, \u0111\u1eb9p kh\u00f4ng t\u1ea3 xi\u1ebft. T\u00ednh s\u00fac t\u00edch c\u1ef1c \u0111\u1ed9 v\u00e0 \u0111\u1eb7c \u0111i\u1ec3m bao la v\u00f4 t\u1eadn c\u1ee7a to\u00e1n h\u1ecdc, n\u1ebfu d\u00f9ng c\u00e1ch n\u00f3i \u201cm\u1ed9t \u0111\u1ecbnh l\u00fd ch\u00ednh l\u00e0 m\u1ed9t th\u1ebf gi\u1edbi, m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh ch\u00ednh l\u00e0 m\u1ed9t thi\u00ean qu\u1ed1c\u201d \u0111\u1ec3 h\u00ecnh dung th\u00ec c\u0169ng kh\u00f4ng c\u00f3 g\u00ec l\u00e0 th\u00e1i qu\u00e1.<\/p>\n

S\u1ef1 huy\u1ec1n di\u1ec7u huy\u1ec1n \u00e1o c\u1ee7a v\u0169 tr\u1ee5, huy\u1ec1n c\u01a1 c\u1ee7a thi\u00ean \u0111\u1ea1o \u0111\u1ec1u \u1ea9n b\u00ean trong v\u1ea1n s\u1ef1 v\u1ea1n v\u1eadt. M\u1ed7i m\u1ed9t lo\u1ea1i hi\u1ec7n t\u01b0\u1ee3ng trong to\u00e1n h\u1ecdc \u0111\u1ec1u h\u00e0m ch\u1ee9a thi\u00ean c\u01a1, khi h\u1ecdc s\u00e2u v\u00e0o ng\u1ed9 ra \u0111\u01b0\u1ee3c \u0111\u1ea1o l\u00fd s\u1ebd c\u1ea3m th\u1ea5y m\u1ef9 di\u1ec7u v\u00f4 c\u00f9ng; c\u00f2n n\u1ebfu nh\u01b0 ng\u01b0\u1eddi h\u1ecdc ch\u1ec9 h\u1ecdc \u1edf b\u1ec1 m\u1eb7t, kh\u00f4ng c\u00f3 \u0111\u00e0o s\u00e2u th\u00eam \u00fd t\u1ee9 b\u00ean trong th\u00ec s\u1ebd th\u1ea5y to\u00e1n h\u1ecdc qu\u1ea3 th\u1ef1c l\u00e0 nh\u1ea1t nh\u1ebdo, v\u00f4 v\u1ecb. Th\u1eed h\u1ecfi c\u1ea3 ng\u01b0\u1eddi d\u1ea1y v\u00e0 ng\u01b0\u1eddi h\u1ecdc to\u00e1n h\u1ecdc s\u1ed1 h\u1ecdc ng\u00e0y nay c\u00f3 th\u1ec3 gi\u1ea3ng, h\u1ecdc v\u00e0 ng\u1ed9 \u0111\u01b0\u1ee3c v\u1eady kh\u00f4ng?<\/p>\n

[1] \u201cH\u00ecnh nhi th\u01b0\u1ee3ng gi\u1ea3 v\u1ecb chi \u0110\u1ea1o, H\u00ecnh nhi h\u1ea1 gi\u1ea3 v\u1ecb chi kh\u00ed.\u201d Hai c\u00e2u n\u00e0y trong l\u1ecbch s\u1eed c\u00f3 nhi\u1ec1u c\u00e1ch l\u00fd gi\u1ea3i kh\u00e1c nhau, qu\u00fd \u0111\u1ed9c gi\u1ea3 c\u00f3 th\u1ec3 t\u1ef1 t\u00ecm hi\u1ec3u th\u00eam. C\u00e1ch l\u00fd gi\u1ea3i c\u1ee7a ng\u01b0\u1eddi d\u1ecbch l\u00e0: T\u1eeb th\u1ebf gi\u1edbi h\u1eefu h\u00ecnh n\u00e0y, c\u00f3 th\u1ec3 l\u1ea5y \u0111\u00f3 l\u00e0m m\u00f4i tr\u01b0\u1eddng tu luy\u1ec7n \u0111\u1ec3 ng\u1ed9 l\u00ean tr\u00ean th\u00ec \u0111\u00f3 ch\u00ednh l\u00e0 \u0111ang h\u01b0\u1edbng v\u1ec1 \u0110\u1ea1o; c\u00f2n n\u1ebfu d\u00f9i v\u00e0o \u0111\u00f3, ch\u1ea5p m\u00ea v\u00e0o th\u1ebf gi\u1edbi h\u1eefu h\u00ecnh n\u00e0y th\u00ec ch\u1ec9 l\u00e0 th\u1ee9 t\u1ea7m th\u01b0\u1eddng, Kh\u00ed.<\/p>\n

[2] Theo hi\u1ec3u bi\u1ebft n\u00f4ng c\u1ea1n c\u1ee7a ng\u01b0\u1eddi d\u1ecbch, c\u00f3 th\u1ec3 \u0111\u01b0a ra c\u00e1c v\u00ed d\u1ee5 nh\u01b0 sau:<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh \u0111\u1ed9ng n\u0103ng c\u1ee7a m\u1ed9t v\u1eadt l\u00e0 1<\/sup>\/2<\/sub><\/span>I\u03c9<\/em>2<\/sup>.<\/p>\n

ho\u1eb7c l\u00e0 1<\/sup>\/2<\/sub><\/span>mv<\/em>2<\/sup>.<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh n\u0103ng l\u01b0\u1ee3ng tr\u1eef trong cu\u1ed9n c\u1ea3m l\u00e0:\u00a01<\/sup>\/2<\/sub><\/span>Li<\/em>2<\/sup>.<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh n\u0103ng l\u01b0\u1ee3ng tr\u1eef trong t\u1ee5 \u0111i\u1ec7n l\u00e0:\u00a01<\/sup>\/2<\/sub><\/span>CU<\/em>2<\/sup>.<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh th\u1ebf n\u0103ng c\u1ee7a l\u00f2 xo l\u00e0:\u00a0\u00a01<\/sup>\/2<\/sub><\/span>kx<\/em>2<\/sup>.<\/p>\n

C\u00e1c c\u00f4ng th\u1ee9c tr\u00ean \u0111\u1ec1u r\u1ea5t t\u01b0\u01a1ng t\u1ef1 nhau, c\u00e1c s\u1ef1 v\u1eadt t\u01b0\u1edfng ch\u1eebng kh\u00e1c nhau r\u1ea5t nhi\u1ec1u nh\u01b0ng qua c\u00f4ng th\u1ee9c t\u01b0\u01a1ng t\u1ef1 th\u00ec c\u00f3 th\u1ec3 th\u1ea5y b\u1ea3n ch\u1ea5t c\u1ee7a ch\u00fang c\u00f3 t\u00ednh t\u01b0\u01a1ng t\u1ef1.<\/p>\n

D\u1ecbch t\u1eeb: https:\/\/www.zhengjian.org\/node\/53789<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

[ChanhKien.org] C\u1eedu s\u1ed1 ch\u1ec9 ch\u00edn ch\u01b0\u01a1ng to\u00e1n thu\u1eadt, bao g\u1ed3m Ph\u01b0\u01a1ng \u0111i\u1ec1n \u65b9\u7530, T\u00fac m\u1ec5 \u7c9f\u7c73, Sai ph\u00e2n \u5dee\u5206, Thi\u1ebfu qu\u1ea3ng \u5c11\u5ee3, Th\u01b0\u01a1ng c\u00f4ng \u5546\u529f, Qu\u00e2n th\u00e2u \u5747\u8f38, Ph\u01b0\u01a1ng tr\u00ecnh \u65b9\u7a0b, Doanh b\u1ea5t t\u00fac \u76c8\u4e0d\u8db3, B\u00e0ng y\u1ebfu \u5fac\u8981, l\u00e0 ch\u00edn lo\u1ea1i ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong s\u1ed1 h\u1ecdc. H\u1ecdc to\u00e1n nh\u01b0 th\u1ebf n\u00e0o […]<\/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":[103],"tags":[302],"class_list":["post-27739","post","type-post","status-publish","format-standard","hentry","category-vanhoa-truyenthong","tag-tim-hieu-luc-nghe"],"acf":[],"yoast_head":"\nKh\u00e1m ph\u00e1 l\u1ee5c ngh\u1ec7 (7): C\u1eedu s\u1ed1 - 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\/2021\/08\/kham-pha-luc-nghe-7-cuu-so.html\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kh\u00e1m ph\u00e1 l\u1ee5c ngh\u1ec7 (7): C\u1eedu s\u1ed1 - Ch\u00e1nh Ki\u1ebfn Net\" \/>\n<meta property=\"og:description\" content=\"[ChanhKien.org] C\u1eedu s\u1ed1 ch\u1ec9 ch\u00edn ch\u01b0\u01a1ng to\u00e1n thu\u1eadt, bao g\u1ed3m Ph\u01b0\u01a1ng \u0111i\u1ec1n \u65b9\u7530, T\u00fac m\u1ec5 \u7c9f\u7c73, Sai ph\u00e2n \u5dee\u5206, Thi\u1ebfu qu\u1ea3ng \u5c11\u5ee3, Th\u01b0\u01a1ng c\u00f4ng \u5546\u529f, Qu\u00e2n th\u00e2u \u5747\u8f38, Ph\u01b0\u01a1ng tr\u00ecnh \u65b9\u7a0b, Doanh b\u1ea5t t\u00fac \u76c8\u4e0d\u8db3, B\u00e0ng y\u1ebfu \u5fac\u8981, l\u00e0 ch\u00edn lo\u1ea1i ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong s\u1ed1 h\u1ecdc. 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