{"id":13944,"date":"2025-06-05T16:49:29","date_gmt":"2025-06-05T09:49:29","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=13944"},"modified":"2025-07-03T19:15:04","modified_gmt":"2025-07-03T12:15:04","slug":"dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/","title":{"rendered":"\u0110\u1ea1o h\u00e0m tr\u1ecb tuy\u1ec7t \u0111\u1ed1i v\u00e0 t\u1ea5t t\u1ea7n t\u1eadt ki\u1ebfn th\u1ee9c t\u1ed5ng h\u1ee3p"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Dao_ham_tuyet_doi_la_gi\" >\u0110\u1ea1o h\u00e0m tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Cong_thuc_chuc_nang_tuyet_doi\" >C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Cong_thuc_chung_cua_dan_xuat_chuc_nang_chua_dieu_tri_tuyet_doi\" >C\u00f4ng th\u1ee9c chung c\u1ee7a d\u1eabn xu\u1ea5t ch\u1ee9c n\u0103ng ch\u1ee9a \u0111i\u1ec1u tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Cong_thuc_tinh_toan_chuc_nang_tuyet_doi_cua_x_Do_la_gi\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a | x | \u0110\u00f3 l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Mot_so_cong_thuc_cho_chuc_nang_tuyet_doi_cua_chuc_nang\" >M\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c cho ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u1ee9c n\u0103ng<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-tri-tuyet-doi-va-tat-tan-tat-kien-thuc-tong-hop\/#Mot_so_loai_bai_tap_phai_sinh_co_gia_tri_tu_lap_tuyet_doi\" >M\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp ph\u00e1i sinh c\u00f3 gi\u00e1 tr\u1ecb t\u1ef1 l\u1eadp tuy\u1ec7t \u0111\u1ed1i<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>C\u00e1c \u0111\u1ea1o h\u00e0m tuy\u1ec7t \u0111\u1ed1i \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t trong nh\u1eefng lo\u1ea1i b\u00e0i t\u1eadp \u0111\u00f2i h\u1ecfi s\u1ef1 t\u1eadp trung v\u00e0 n\u1eafm v\u1eefng ngu\u1ed3n g\u1ed1c c\u1ee7a to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n; T\u1eeb \u0111\u00f3, c\u00f3 th\u1ec3 t\u01b0\u1edfng t\u01b0\u1ee3ng chi ti\u1ebft nh\u1eefng thay \u0111\u1ed5i c\u1ee7a h\u00e0m khi n\u00f3i \u0111\u1ebfn 0. Do s\u1ef1 ph\u1ee9c t\u1ea1p c\u1ee7a lo\u1ea1i b\u00e0i h\u1ecdc n\u00e0y trong ch\u01b0\u01a1ng tr\u00ecnh gi\u1ea3ng d\u1ea1y, \u0111\u1ea1o h\u00e0m \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t trong nh\u1eefng c\u1ed5ng cho ng\u01b0\u1eddi h\u1ecdc. <\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dao_ham_tuyet_doi_la_gi\"><\/span>\u0110\u1ea1o h\u00e0m tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">H\u00e0m ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i l\u00e0 c\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a m\u1ed9t gi\u00e1 tr\u1ecb (m\u1ed9t s\u1ed1) trong \u0111\u1ea1o h\u00e0m. \u0110\u1ea7u ti\u00ean \u0111\u1ec3 c\u00f3 m\u1ed9t c\u00e1i nh\u00ecn t\u1ed5ng quan v\u1ec1 \u0111\u1ea1o h\u00e0m c\u1ee7a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i, chi ti\u1ebft c\u1ee7a \u0111\u1ea1o h\u00e0m l\u00e0 g\u00ec.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image3q.png\" alt=\"\" width=\"214\" height=\"43\"><\/p>\n<p dir=\"ltr\">Ho\u1eb7c <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image4q.png\" alt=\"\" width=\"149\" height=\"39\"><\/p>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 l\u01b0\u1ee3ng \u0111\u1ed1i s\u1ed1 l\u00e0: \u2206x = x &#8211; x0<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m l\u00e0: \u2206y = y &#8211; y0<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">D\u1ef1a tr\u00ean c\u00f4ng th\u1ee9c ph\u00e1i sinh ban \u0111\u1ea7u, ch\u00fang t\u00f4i s\u1ebd b\u1eaft \u0111\u1ea7u t\u00ednh to\u00e1n h\u00e0m y = | x |<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image6q.png\" alt=\"\" width=\"168\" height=\"41\"><\/p>\n<p dir=\"ltr\">Thay th\u1ebf gi\u00e1 tr\u1ecb | x | Trong, ch\u00fang t\u00f4i s\u1ebd t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m c\u1ee7a anh \u1ea5y &#8216;b\u1edfi:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image8q.png\" alt=\"\" width=\"168\" height=\"38\"><\/p>\n<p dir=\"ltr\">Nh\u00ecn v\u00e0o c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng \u1edf tr\u00ean, h\u1ecd th\u1ea5y r\u1eb1ng \u0111\u1ea1o h\u00e0m s\u1ebd kh\u00f4ng \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh t\u1ea1i v\u1ecb tr\u00ed \u2206x = 0, v\u00ec h\u00e0m y = | x | L\u00e0 m\u1ed9t ch\u1ee9c n\u0103ng kh\u00f4ng li\u00ean t\u1ee5c v\u00e0 ch\u00ednh th\u1ee9c:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">y = x n\u1ebfu x&gt; = 0<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">y = -x n\u1ebfu x &lt;0<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Nh\u00ecn v\u00e0o \u0111\u1ed3 th\u1ecb y = | x | S\u1ebd gi\u00fap ng\u01b0\u1eddi \u0111\u1ecdc d\u1ec5 d\u00e0ng t\u01b0\u1edfng t\u01b0\u1ee3ng v\u1ecb tr\u00ed c\u1ee7a y = | x | v\u00e0 x\u00e1c \u0111\u1ecbnh gi\u00e1 ph\u00f9 h\u1ee3p c\u1ee7a | x |.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/1-dao-ham-tri-tuyet-doi.jpg\" alt=\"Ch\u1ec9 ra h\u00e0m y = | x | Tr\u00ean bi\u1ec3u \u0111\u1ed3. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #fbeeb8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%\">\n<p style=\"text-align: center\">\u0110\u1ec3 t\u00ecm hi\u1ec3u \u0111\u1ea1o h\u00e0m c\u1ee7a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i, b\u1ea1n c\u1ea7n th\u00e0nh th\u1ea1o ki\u1ebfn \u200b\u200bth\u1ee9c s\u1ed1 h\u1ecdc c\u01a1 b\u1ea3n. Xem ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n trong ph\u01b0\u01a1ng ph\u00e1p m\u1edbi \u0111\u1ec3 gi\u00fap con b\u1ea1n h\u1ecdc nhanh \u0111\u1ec3 ghi nh\u1edb \u1edf \u0111\u00e2y:  <\/p>\n<p><img decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/xemchitiet.png\" alt=\"\" width=\"185\"><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_chuc_nang_tuyet_doi\"><\/span>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u00fap h\u1ecdc sinh c\u0169ng nh\u01b0 ph\u1ee5 huynh t\u00ecm ra gi\u1ea3i ph\u00e1p nhanh nh\u1ea5t cho c\u00e1c v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a X, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef mu\u1ed1n gi\u1edbi thi\u1ec7u c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng si\u00eau nhanh tuy\u1ec7t \u0111\u1ed1i d\u01b0\u1edbi \u0111\u00e2y:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_chung_cua_dan_xuat_chuc_nang_chua_dieu_tri_tuyet_doi\"><\/span>C\u00f4ng th\u1ee9c chung c\u1ee7a d\u1eabn xu\u1ea5t ch\u1ee9c n\u0103ng ch\u1ee9a \u0111i\u1ec1u tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Sau \u0111\u00e2y s\u1ebd l\u00e0 m\u1ed9t v\u00e0i c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a X v\u1ec1 c\u01a1 b\u1ea3n nh\u1eb1m gi\u00fap ng\u01b0\u1eddi h\u1ecdc x\u00e1c \u0111\u1ecbnh v\u00e0 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c cho t\u1eebng ph\u01b0\u01a1ng tr\u00ecnh kh\u00e1c nhau. Cu\u1ed1i c\u00f9ng, \u0111\u00e0o t\u1ea1o n\u00e2ng cao d\u1ef1a tr\u00ean ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 ch\u1ee9c n\u0103ng c\u1ee7a ch\u1ee9c n\u0103ng t\u1ed5ng quan tuy\u1ec7t \u0111\u1ed1i.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-dao-ham-tri-tuyet-doi.jpg\" alt=\"C\u00e1c c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n c\u1ee7a ph\u00e1i sinh. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<p class=\"MsoNormal\" style=\"line-height: 150%\">\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_chuc_nang_tuyet_doi_cua_x_Do_la_gi\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a | x | \u0110\u00f3 l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\">D\u1ef1a tr\u00ean c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng ban \u0111\u1ea7u, ch\u00fang t\u00f4i s\u1ebd b\u1eaft \u0111\u1ea7u t\u00ednh to\u00e1n h\u00e0m y = x<\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image6qq.png\" alt=\"\" width=\"168\" height=\"41\"><\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\">Thay th\u1ebf gi\u00e1 tr\u1ecb x, ch\u00fang t\u00f4i s\u1ebd t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m c\u1ee7a b\u1ea1n &#8216;b\u1eb1ng:<\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image8qq.png\" alt=\"\" width=\"168\" height=\"38\"><\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\">Nh\u00ecn v\u00e0o c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng \u1edf tr\u00ean, h\u1ecd th\u1ea5y r\u1eb1ng \u0111\u1ea1o h\u00e0m s\u1ebd kh\u00f4ng \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh t\u1ea1i v\u1ecb tr\u00ed \u2206x = 0, v\u00ec h\u00e0m y = | x | L\u00e0 m\u1ed9t ch\u1ee9c n\u0103ng kh\u00f4ng li\u00ean t\u1ee5c v\u00e0 ch\u00ednh th\u1ee9c:<\/p>\n<ul style=\"font-size: medium;font-weight: 400\">\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">y = x n\u1ebfu x&gt; = 0<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">y = -x n\u1ebfu x &lt;0<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2022-05-25_11-12-05.png\" alt=\"\" width=\"661\" height=\"265\"><\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\">Theo b\u01b0\u1edbc n\u00e0y, ch\u00fang ta c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c tr\u1eeb ph\u1ed5 bi\u1ebfn \u0111\u1ec3 t\u00ecm c\u00e2u tr\u1ea3 l\u1eddi cu\u1ed1i c\u00f9ng cho ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2022-05-25_11-12-45.png\" alt=\"\" width=\"352\" height=\"456\"><\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2022-05-25_11-14-00.png\" alt=\"\" width=\"637\" height=\"118\"><\/p>\n<p dir=\"ltr\" style=\"font-size: medium;font-weight: 400\">N\u00f3i t\u00f3m l\u1ea1i, v\u00ed d\u1ee5 sau \u0111\u00e2y c\u0169ng l\u00e0 c\u00e1ch c\u01a1 b\u1ea3n \u0111\u1ec3 t\u00ednh to\u00e1n hi\u1ec7u l\u1ef1c c\u01a1 b\u1ea3n cho h\u00e0m y = | x |.<\/p>\n<p dir=\"ltr\">Xem th\u00eam: T\u1ea5t c\u1ea3 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 g\u1ed1c c\u1ee7a g\u1ed1c: \u0110\u01a1n v\u1ecb th\u1ee9 3, U, X, Logarit, &#8230;<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mot_so_cong_thuc_cho_chuc_nang_tuyet_doi_cua_chuc_nang\"><\/span>M\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c cho ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u1ee9c n\u0103ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">C\u00e1c c\u00f4ng th\u1ee9c cho ch\u1ee9c n\u0103ng \u0111i\u1ec1u tr\u1ecb tuy\u1ec7t \u0111\u1ed1i:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u1ee9c n\u0103ng \u0111\u1ea7u ti\u00ean -Ch\u1ee9c n\u0103ng th\u1ee9 t\u1ef1: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image24q.png\" alt=\"\" width=\"259\" height=\"42\"><\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m ch\u1ee9c n\u0103ng b\u1eadc hai: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image25q.png\" alt=\"\" width=\"402\" height=\"42\"><\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m \u0111a th\u1ee9c th\u1ee9 ba -order: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image26q.png\" alt=\"\" width=\"413\" height=\"22\"><\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u1ee9c n\u0103ng nh\u1ecf: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image27q.png\" alt=\"\" width=\"345\" height=\"22\"><\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m ch\u1ee9a c\u0103n b\u1eadc hai: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image28q.png\" alt=\"\" width=\"248\" height=\"52\"><\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m ch\u1ee9a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/image29q.png\" alt=\"\" width=\"261\" height=\"45\"><\/p>\n<\/li>\n<\/ul>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mot_so_loai_bai_tap_phai_sinh_co_gia_tri_tu_lap_tuyet_doi\"><\/span>M\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp ph\u00e1i sinh c\u00f3 gi\u00e1 tr\u1ecb t\u1ef1 l\u1eadp tuy\u1ec7t \u0111\u1ed1i <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u00fap h\u1ecdc sinh c\u1ee7ng c\u1ed1 b\u00e0i h\u1ecdc, nh\u1eefng \u0111i\u1ec1u sau \u0111\u00e2y s\u1ebd l\u00e0 c\u00e1c b\u00e0i t\u1eadp c\u01a1 b\u1ea3n c\u1ee7a \u0111\u1ea1o h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i. Cha m\u1eb9 c\u00f3 th\u1ec3 tham kh\u1ea3o nh\u1eefng \u0111i\u1ec1u sau \u0111\u00e2y. M\u1ee5c \u0111\u00edch ch\u00ednh c\u1ee7a c\u00e1c b\u00e0i t\u1eadp n\u00e0y l\u00e0 gi\u00fap sinh vi\u00ean truy c\u1eadp v\u00e0o c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i; \u0110\u1ed3ng th\u1eddi, c\u1ee7ng c\u1ed1 ki\u1ebfn \u200b\u200bth\u1ee9c cho c\u00e1c h\u1ecdc gi\u1ea3 s\u1eafp t\u1edbi \u0111\u1ec3 \u0111\u1ed1i \u0111\u1ea7u v\u1edbi m\u1ed9t k\u1ef3 thi trung h\u1ecdc quan tr\u1ecdng.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-dao-ham-tri-tuyet-doi.jpg\" alt=\"C\u00e1c lo\u1ea1i b\u00e0i t\u1eadp ph\u00e1i sinh gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<p>Hy v\u1ecdng, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef \u0111\u00e3 gi\u00fap b\u1ea1n h\u00ecnh dung v\u00e0 hi\u1ec3u ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n nh\u1ea5t v\u1ec1 ch\u1ee9c n\u0103ng tuy\u1ec7t \u0111\u1ed1i c\u1ee7a \u0111\u1ea1o h\u00e0m. H\u00e3y ch\u1eafc ch\u1eafn r\u1eb1ng ki\u1ebfn \u200b\u200bth\u1ee9c, b\u00ecnh t\u0129nh l\u00e0m b\u00e0i t\u1eadp v\u1ec1 nh\u00e0 v\u00e0 v\u01b0\u1ee3t qua nh\u1eefng th\u00e1ch th\u1ee9c ph\u00e1i sinh tr\u01b0\u1edbc m\u1eb7t b\u1ea1n! Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef vui m\u1eebng \u0111\u1ed3ng h\u00e0nh c\u00f9ng b\u1ea1n trong h\u00e0nh tr\u00ecnh gi\u1ea3i to\u00e1n tr\u01b0\u1edbc.<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>C\u00e1c \u0111\u1ea1o h\u00e0m tuy\u1ec7t \u0111\u1ed1i \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t trong nh\u1eefng lo\u1ea1i b\u00e0i t\u1eadp \u0111\u00f2i h\u1ecfi s\u1ef1 t\u1eadp trung v\u00e0 n\u1eafm v\u1eefng ngu\u1ed3n g\u1ed1c c\u1ee7a to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n; T\u1eeb \u0111\u00f3, c\u00f3 th\u1ec3 t\u01b0\u1edfng t\u01b0\u1ee3ng chi ti\u1ebft nh\u1eefng thay \u0111\u1ed5i c\u1ee7a h\u00e0m khi n\u00f3i \u0111\u1ebfn 0. Do s\u1ef1 ph\u1ee9c t\u1ea1p c\u1ee7a lo\u1ea1i b\u00e0i h\u1ecdc n\u00e0y&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-13944","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13944","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=13944"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13944\/revisions"}],"predecessor-version":[{"id":16715,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13944\/revisions\/16715"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=13944"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=13944"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=13944"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}