{"id":21662,"date":"2025-07-08T17:25:52","date_gmt":"2025-07-08T10:25:52","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=21662"},"modified":"2025-07-08T23:05:42","modified_gmt":"2025-07-08T16:05:42","slug":"nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/","title":{"rendered":"Nguy\u00ean h\u00e0m h\u00e0m h\u1ee3p: C\u00f4ng th\u1ee9c v\u00e0 c\u00e1ch gi\u1ea3i chi ti\u1ebft"},"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\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/#Ham_la_gi\" >H\u00e0m 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\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/#Cong_thuc_chuc_nang_chi_tiet_nhat\" >C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chi ti\u1ebft nh\u1ea5t<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/#Cac_loai_bai_tap_ve_ham_va_giai_phap_chung\" >C\u00e1c lo\u1ea1i b\u00e0i t\u1eadp v\u1ec1 h\u00e0m v\u00e0 gi\u1ea3i ph\u00e1p chung<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/#Bai_tap_toan_hoc_trong_ham_ham_ham_Luyen\" >B\u00e0i t\u1eadp to\u00e1n h\u1ecdc trong ham ham ham Luyen<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/nguyen-ham-ham-hop-cong-thuc-va-cach-giai-chi-tiet\/#Ket_luan\" >K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>Nguy\u1ec5n Ham Ham l\u00e0 m\u1ed9t ki\u1ebfn \u200b\u200bth\u1ee9c to\u00e1n h\u1ecdc quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c trung h\u1ecdc hi\u1ec7n t\u1ea1i. \u0110\u1ec3 gi\u00fap h\u1ecdc sinh hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 lo\u1ea1i chi ti\u1ebft t\u1eadp th\u1ec3 d\u1ee5c n\u00e0y, h\u00e3y \u0111\u1ec3 Kh\u1ec9 t\u00ecm hi\u1ec3u th\u00eam trong b\u00e0i vi\u1ebft sau.<\/p>\n<p>                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/image\/600x480.png\"><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Ham_la_gi\"><\/span>H\u00e0m l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Ham ham \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn nh\u01b0 m\u1ed9t trong nh\u1eefng h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a Nguy\u1ec5n Ham. Trong \u0111\u00f3:<\/p>\n<p>H\u00e0m ban \u0111\u1ea7u l\u00e0 m\u1ed9t ch\u1ee9c n\u0103ng th\u1ef1c s\u1ef1 cho F. \u0111\u1ec3 c\u00f3 th\u1ec3 t\u00ecm th\u1ea5y m\u1ed9t h\u00e0m s\u1ebd kh\u00f3 h\u01a1n l\u00e0 t\u00ecm ki\u1ebfm m\u1ed9t \u0111\u1ea1o h\u00e0m, v\u00ec v\u1eady n\u00f3 kh\u00f4ng ph\u1ea3i l\u00fac n\u00e0o c\u0169ng \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n.<\/p>\n<p>H\u00e0m k\u1ebft h\u1ee3p l\u00e0 s\u1ef1 nh\u00e2n c\u1ee7a hai h\u00e0m F v\u00e0 G v\u00e0 t\u1ea1o ra m\u1ed9t h\u00e0m H sao cho h (x) = g (f (x)). Trong d\u1ea1ng to\u00e1n h\u1ecdc n\u00e0y, h\u00e0m F: X \u2192 Y v\u00e0 G: Y \u2192 Z \u0111\u01b0\u1ee3c k\u1ebft h\u1ee3p \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t h\u00e0m m\u1edbi bi\u1ebfn X th\u00e0nh G (F (x)) c\u1ee7a Z.<\/p>\n<p>Tuy nhi\u00ean, v\u1edbi h\u00e0m li\u00ean t\u1ee5c tr\u00ean ph\u00e2n \u0111o\u1ea1n ho\u1eb7c ph\u1ea1m vi t\u1eeb gi\u00e1 tr\u1ecb A \u0111\u1ebfn B, t\u1ea5t c\u1ea3 \u0111\u1ec1u t\u1ed3n t\u1ea1i h\u00e0m c\u1ee7a h\u00e0m \u0111\u00f3 tr\u00ean ph\u00e2n \u0111o\u1ea1n\/ph\u1ea1m vi t\u1eeb A \u0111\u1ebfn B \u1edf tr\u00ean.<\/p>\n<p>Ngo\u00e0i ra, h\u00e0m ban \u0111\u1ea7u \u0111\u01b0\u1ee3c li\u00ean h\u1ec7 v\u1edbi t\u00edch ph\u00e2n th\u00f4ng qua \u0111\u1ecbnh l\u00fd c\u01a1 b\u1ea3n c\u1ee7a ph\u00e2n t\u00edch, \u0111\u1ec3 h\u1ed7 tr\u1ee3 qu\u00e1 tr\u00ecnh t\u00ednh to\u00e1n t\u00edch h\u1ee3p ch\u1ee9c n\u0103ng d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Cong_thuc_chuc_nang_chi_tiet_nhat\"><\/span>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chi ti\u1ebft nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>D\u1ef1a tr\u00ean \u0111\u1ecbnh ngh\u0129a c\u01a1 b\u1ea3n v\u1ec1 h\u00e0m c\u1ee7a h\u00e0m, m\u1ecdi ng\u01b0\u1eddi c\u0169ng hi\u1ec3u m\u1ed9t ph\u1ea7n c\u1ee7a h\u00ecnh th\u1ee9c v\u1ea5n \u0111\u1ec1 n\u00e0y.<\/p>\n<p>Tuy nhi\u00ean, \u0111\u1ec3 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 ch\u1ee9c n\u0103ng th\u00edch h\u1ee3p, c\u1ea7n ph\u1ea3i c\u00f3 m\u1ed9t c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n c\u1ee5 th\u1ec3. D\u01b0\u1edbi \u0111\u00e2y s\u1ebd l\u00e0 m\u1ed9t b\u1ea3ng c\u00f4ng th\u1ee9c chi ti\u1ebft c\u1ee7a ch\u1ee9c n\u0103ng chi ti\u1ebft \u0111\u1ec3 sinh vi\u00ean c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng v\u00e0 th\u1ef1c h\u00e0nh trong v\u1ea5n \u0111\u1ec1 g\u1eb7p ph\u1ea3i.<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/nguyen-ham-ham-hop-1.png\" alt=\"C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n h\u00e0m ch\u00ednh v\u00e0 h\u00e0m. (\u1ea2nh: Haylamdo.com)\" width=\"100%\"><\/p>\n<p>L\u01b0u \u00fd: B\u1edfi v\u00ec \u0111\u00e2y l\u00e0 b\u1ea3ng g\u1ed1c c\u1ee7a h\u00e0m c\u01a1 b\u1ea3n. V\u00ec v\u1eady, h\u1ecdc sinh c\u1ea7n ghi nh\u1edb v\u00e0 hi\u1ec3u c\u00f4ng th\u1ee9c \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp to\u00e1n.<\/p>\n<p>Tuy nhi\u00ean, trong m\u1ed9t s\u1ed1 h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc ti\u00ean ti\u1ebfn, c\u00f4ng th\u1ee9c n\u00e0y s\u1ebd ch\u1ec9 l\u00e0 c\u01a1 b\u1ea3n. N\u00f3 \u0111\u00f2i h\u1ecfi tr\u1ebb ph\u1ea3i bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng m\u1ed9t c\u00e1ch khoa h\u1ecdc \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft to\u00e1n ch\u00ednh x\u00e1c nh\u1ea5t.<\/p>\n<p>\u0110\u1ed3ng th\u1eddi, m\u1ecdi ng\u01b0\u1eddi n\u00ean tr\u00e1nh h\u1ecdc v\u1eb9t, ghi nh\u1edb c\u00f4ng th\u1ee9c m\u00e0 kh\u00f4ng bi\u1ebft v\u00e0 m\u1edf r\u1ed9ng.<\/p>\n<p>Thay v\u00e0o \u0111\u00f3, k\u1ebft h\u1ee3p m\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c h\u00e0m c\u00f3 li\u00ean quan \u0111\u1ec3 c\u00f3 th\u1ec3 hi\u1ec3u b\u1ea3n ch\u1ea5t c\u1ee7a t\u1eebng c\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc, \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft nhi\u1ec1u lo\u1ea1i b\u00e0i t\u1eadp to\u00e1n t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn hi\u1ec7u qu\u1ea3 h\u01a1n.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Cac_loai_bai_tap_ve_ham_va_giai_phap_chung\"><\/span>C\u00e1c lo\u1ea1i b\u00e0i t\u1eadp v\u1ec1 h\u00e0m v\u00e0 gi\u1ea3i ph\u00e1p chung<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Khi thu\u1ed9c v\u1ec1 c\u00f4ng th\u1ee9c c\u1ee7a h\u00e0m tr\u00ean ch\u1ec9 gi\u00fap sinh vi\u00ean gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 \u1edf c\u1ea5p \u0111\u1ed9 c\u01a1 b\u1ea3n.<\/p>\n<p>Tuy nhi\u00ean, trong to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 d\u01b0\u1edbi d\u1ea1ng to\u00e1n h\u1ecdc, s\u1ebd c\u00f3 nhi\u1ec1u h\u00ecnh th\u1ee9c nh\u1ecf h\u01a1n v\u1edbi nhi\u1ec1u c\u1ea5p \u0111\u1ed9 kh\u00f3 kh\u00e1c nhau. Y\u00eau c\u1ea7u h\u1ecdc sinh \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c cho ph\u00f9 h\u1ee3p v\u1edbi t\u1eebng h\u00ecnh th\u1ee9c t\u1eadp th\u1ec3 d\u1ee5c ch\u00ednh x\u00e1c.<\/p>\n<p>Do \u0111\u00f3, ngo\u00e0i c\u00f4ng th\u1ee9c Ham Ham Ham, h\u1ecd c\u0169ng n\u00ean n\u1eafm b\u1eaft m\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp c\u00f3 li\u00ean quan \u0111\u1ec3 c\u00f3 th\u1ec3 th\u1ef1c h\u00e0nh v\u00e0 \u00e1p d\u1ee5ng khi g\u1eb7p h\u1ecd.<\/p>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 lo\u1ea1i to\u00e1n h\u1ecdc v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng ph\u00f9 h\u1ee3p cho m\u1ecdi ng\u01b0\u1eddi tham kh\u1ea3o:<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/nguyen-ham-ham-hop-2.png\" alt=\"M\u1ed9t s\u1ed1 h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a ch\u1ee9c n\u0103ng chung. (Ngu\u1ed3n: Baitap123)\" width=\"100%\"><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Bai_tap_toan_hoc_trong_ham_ham_ham_Luyen\"><\/span>B\u00e0i t\u1eadp to\u00e1n h\u1ecdc trong ham ham ham Luyen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0110\u1ec3 c\u00f3 th\u1ec3 gi\u00fap h\u1ecdc sinh th\u00e0nh th\u1ea1o ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 h\u00e0m c\u1ee7a h\u00e0m, c\u00f9ng v\u1edbi vi\u1ec7c \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c hi\u1ec7u qu\u1ea3 h\u01a1n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 \u0111\u1ed9ng \u0111\u1ec3 ch\u00fang c\u00f3 th\u1ec3 th\u1ef1c h\u00e0nh:<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/nguyen-ham-ham-hop-3.png\" alt=\"M\u1ed9t s\u1ed1 v\u00ed d\u1ee5 v\u00ed d\u1ee5 v\u00ed d\u1ee5 v\u1ec1 h\u00e0m ph\u00f9 h\u1ee3p \u0111\u01b0\u1ee3c g\u1eafn v\u00e0o gi\u1ea3i ph\u00e1p. (Ngu\u1ed3n: Haylamdo.com)\" width=\"100%\"><\/p>\n<p>L\u01b0u \u00fd: H\u1ecdc sinh n\u00ean l\u00e0m c\u00e2u h\u1ecfi tr\u01b0\u1edbc v\u00e0 so s\u00e1nh v\u1edbi gi\u1ea3i ph\u00e1p \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o h\u1ecd hi\u1ec3u lo\u1ea1i b\u00e0i t\u1eadp n\u00e0y, \u0111\u1ec3 c\u00f3 th\u1ec3 c\u1ea3i thi\u1ec7n kh\u1ea3 n\u0103ng h\u1ecdc to\u00e1n t\u1ed1t h\u01a1n.<\/p>\n<p>Xem th\u00eam: Raw Jaw X v\u00e0 t\u1ea5t c\u1ea3 th\u00f4ng tin v\u1ec1 h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc chi ti\u1ebft nh\u1ea5t<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Ket_luan\"><\/span>K\u1ebft lu\u1eadn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 m\u1ed9t b\u1ea3n t\u00f3m t\u1eaft ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 h\u00ecnh th\u1ee9c b\u00e0i t\u1eadp h\u00e0m. Do \u0111\u00f3, c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng \u0111\u00e2y l\u00e0 m\u1ed9t h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc kh\u00f3, nh\u01b0ng n\u1ebfu h\u1ecdc sinh th\u00e0nh th\u1ea1o c\u00f4ng th\u1ee9c, h\u00e3y bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng, h\u1ecd s\u1ebd gi\u00fap h\u1ecd c\u1ea3m th\u1ea5y b\u1edbt lo l\u1eafng ho\u1eb7c th\u1ea5y ki\u1ebfn \u200b\u200bth\u1ee9c n\u00e0y kh\u00f3 kh\u0103n v\u1edbi h\u1ecd. Ch\u00fac t\u1ea5t c\u1ea3 c\u00e1c b\u1ea1n \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 t\u1ed1t!<\/p>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/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>Nguy\u1ec5n Ham Ham l\u00e0 m\u1ed9t ki\u1ebfn \u200b\u200bth\u1ee9c to\u00e1n h\u1ecdc quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c trung h\u1ecdc hi\u1ec7n t\u1ea1i. \u0110\u1ec3 gi\u00fap h\u1ecdc sinh hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 lo\u1ea1i chi ti\u1ebft t\u1eadp th\u1ec3 d\u1ee5c n\u00e0y, h\u00e3y \u0111\u1ec3 Kh\u1ec9 t\u00ecm hi\u1ec3u th\u00eam trong b\u00e0i vi\u1ebft sau. H\u00e0m l\u00e0 g\u00ec? Ham ham \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn nh\u01b0 m\u1ed9t&#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-21662","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/21662","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=21662"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/21662\/revisions"}],"predecessor-version":[{"id":25379,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/21662\/revisions\/25379"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=21662"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=21662"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=21662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}