{"id":1081,"date":"2020-02-23T07:00:00","date_gmt":"2020-02-23T00:00:00","guid":{"rendered":"https:\/\/www.truyenthong.edu.vn\/?p=1081"},"modified":"2020-02-23T07:00:00","modified_gmt":"2020-02-23T00:00:00","slug":"mot-so-ung-dung-cua-tich-vo-huong-trong-giai-toan","status":"publish","type":"post","link":"https:\/\/truyenthong.edu.vn\/sanpham\/2020\/02\/23\/mot-so-ung-dung-cua-tich-vo-huong-trong-giai-toan\/","title":{"rendered":"M\u1ed9t s\u1ed1 \u1ee9ng d\u1ee5ng c\u1ee7a t\u00edch v\u00f4 h\u01b0\u1edbng trong gi\u1ea3i to\u00e1n"},"content":{"rendered":"\n<p>Trong c\u00e1c k\u00ec thi ta th\u01b0\u1eddng th\u1ea5y xu\u1ea5t hi\u1ec7n m\u1ed9t s\u1ed1 b\u00e0i\nto\u00e1n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, hay ch\u00fang minh m\u1ed9t\ns\u1ed1 b\u1ea5t \u0111\u1eb3ng th\u1ee9c ho\u0103c c\u00e1c b\u00e0i to\u00e1n v\u1ec1 c\u1ef1c tr\u1ecb. Nh\u1eefng b\u00e0i to\u00e1n to\u00e1n \u0111\u00f3 n\u1ebfu ta\ng\u1eb7p d\u1ea1ng c\u1ee7a ch\u00fang v\u00e0 bi\u1ebft \u0111\u01b0\u1ee3c c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i c\u1ee7a t\u1eebng d\u1ea1ng th\u00ec \u0111\u00f3 l\u00e0\n\u0111i\u1ec1u kh\u00e1 \u0111\u01a1n gi\u1ea3n. Tuy v\u1eady c\u00f3 nh\u1eefng b\u00e0i to\u00e1n c\u00f3 \u0111\u1ed9 kh\u00f3 nh\u1ea5t \u0111\u1ecbnh \u0111\u1ed1i v\u1edbi h\u1ecdc\nsinh b\u1edfi v\u00ec s\u1ef1 \u0111a d\u1ea1ng c\u1ee7a n\u00f3 v\u00e0 \u0111\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c th\u00ec ch\u00fang ta c\u1ea7n k\u1ebft h\u1ee3p nhi\u1ec1u\nki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn ch\u00fang, trong \u0111\u00f3 t\u00edch v\u00f4 h\u01b0\u1edbng c\u1ee7a hai vect\u01a1 \u1ee9ng d\u1ee5ng\nquan tr\u1ecdng trong m\u1ed9t s\u1ed1 d\u1ea1ng To\u00e1n nh\u01b0 c\u00e1c b\u00e0i to\u00e1n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t\nph\u01b0\u01a1ng tr\u00ecnh, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, hay ch\u00fang minh m\u1ed9t s\u1ed1 \u0111\u1eb3ng th\u1ee9c v\u00e0 b\u1ea5t \u0111\u1eb3ng\nth\u1ee9c, ho\u1eb7c c\u00e1c b\u00e0i to\u00e1n v\u1ec1 c\u1ef1c tr\u1ecb. <\/p>\n\n\n\n<p>Xu\u1ea5t ph\u00e1t t\u1eeb t\u1ea7m quan tr\u1ecdng c\u1ee7a n\u1ed9i dung v\u00e0 th\u1ef1c tr\u1ea1ng tr\u00ean, \u0111\u1ec3 h\u1ecdc sinh c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng v\u00e0 t\u1ef1 tin h\u01a1n khi g\u1eb7p\u00a0 m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, hay ch\u00fang minh m\u1ed9t s\u1ed1 b\u1ea5t \u0111\u1eb3ng th\u1ee9c ho\u1eb7c c\u00e1c b\u00e0i to\u00e1n v\u1ec1 c\u1ef1c tr\u1ecb, gi\u00fap c\u00e1c em ph\u00e1t huy \u0111\u01b0\u1ee3c kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch, t\u1ed5ng\u00a0h\u1ee3p, kh\u00e1i qu\u00e1t h\u00f3a qua c\u00e1c b\u00e0i t\u1eadp nh\u1ecf. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1nhnnJxFnoz_pXr_Iv5YEbITQEN6Jis4X\" alt=\"\" width=\"173\" height=\"149\"\/><figcaption>T\u00edch v\u00f4 h\u01b0\u1edbng c\u1ee7a 2 vecto<\/figcaption><\/figure><\/div>\n\n\n\n<!--more-->\n\n\n\n<p>Th\u00f4ng tin v\u1ec1 s\u1ea3n ph\u1ea9m:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>H\u1ecdc ph\u1ea7n: Ho\u1ea1t \u0111\u1ed9ng Tr\u1ea3i nghi\u1ec7m s\u00e1ng t\u1ea1o<\/li><li>N\u0103m: 2018<\/li><li>T\u00e1c gi\u1ea3: Nguy\u1ec5n Th\u1ecb \u0110\u00f4ng Thi<\/li><li>T\u1ea3i v\u1ec1 (pdf):\u00a0<a href=\"https:\/\/drive.google.com\/file\/d\/1WLsJBZOavC76VdXFPsxBH4CUWBqglDCU\/view?usp=sharing\">T\u00edch v\u00f4 h\u01b0\u1edbng &#8211; \u1ee9ng d\u1ee5ng<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trong c\u00e1c k\u00ec thi ta th\u01b0\u1eddng th\u1ea5y xu\u1ea5t hi\u1ec7n m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, hay ch\u00fang minh m\u1ed9t s\u1ed1 b\u1ea5t \u0111\u1eb3ng th\u1ee9c ho\u0103c c\u00e1c b\u00e0i to\u00e1n v\u1ec1 c\u1ef1c tr\u1ecb. Nh\u1eefng b\u00e0i to\u00e1n to\u00e1n \u0111\u00f3 n\u1ebfu ta g\u1eb7p d\u1ea1ng c\u1ee7a ch\u00fang v\u00e0 bi\u1ebft \u0111\u01b0\u1ee3c c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[175],"class_list":["post-1081","post","type-post","status-publish","format-standard","hentry","category-hoat-dong-trai-nghiem","tag-vecto"],"_links":{"self":[{"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/posts\/1081","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/comments?post=1081"}],"version-history":[{"count":0,"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/posts\/1081\/revisions"}],"wp:attachment":[{"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/media?parent=1081"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/categories?post=1081"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/truyenthong.edu.vn\/sanpham\/wp-json\/wp\/v2\/tags?post=1081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}