{"id":530851,"date":"2026-03-13T15:43:30","date_gmt":"2026-03-13T08:43:30","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=530851"},"modified":"2026-03-13T15:43:30","modified_gmt":"2026-03-13T08:43:30","slug":"tuyet-chieu-nam-vung-dao-ham-lop-11-tu-a-den-z-voi-bang-cong-thuc-chuan","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/tuyet-chieu-nam-vung-dao-ham-lop-11-tu-a-den-z-voi-bang-cong-thuc-chuan\/","title":{"rendered":"Tuy\u1ec7t Chi\u00eau N\u1eafm V\u1eefng \u0110\u1ea1o H\u00e0m L\u1edbp 11: T\u1eeb A \u0110\u1ebfn Z V\u1edbi B\u1ea3ng C\u00f4ng Th\u1ee9c Chu\u1ea9n"},"content":{"rendered":"<p style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><span style=\"font-weight: 400;\"> l\u00e0 t\u1eadp h\u1ee3p c\u00e1c c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m c\u01a1 b\u1ea3n v\u00e0 n\u00e2ng cao m\u00e0 h\u1ecdc sinh c\u1ea7n n\u1eafm v\u1eefng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 11. Vi\u1ec7c hi\u1ec3u v\u00e0 nh\u1edb \u0111\u01b0\u1ee3c c\u00e1c c\u00f4ng th\u1ee9c n\u00e0y gi\u00fap gi\u1ea3i quy\u1ebft hi\u1ec7u qu\u1ea3 c\u00e1c b\u00e0i to\u00e1n v\u1ec1 \u0111\u1ea1o h\u00e0m, t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>\u0110\u1ea1o h\u00e0m l\u1edbp 11 l\u00e0 g\u00ec? T\u1ed5ng quan ki\u1ebfn th\u1ee9c c\u1ea7n n\u1eafm<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><span style=\"font-weight: 400;\"> l\u00e0 kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc m\u00f4 t\u1ea3 t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i t\u1ee9c th\u1eddi c\u1ee7a m\u1ed9t h\u00e0m s\u1ed1. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m, c\u00f3 vai tr\u00f2 n\u1ec1n t\u1ea3ng cho c\u00e1c ph\u1ea7n to\u00e1n h\u1ecdc n\u00e2ng cao v\u00e0 \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>\u0110\u1ecbnh ngh\u0129a \u0111\u1ea1o h\u00e0m:<\/b><span style=\"font-weight: 400;\"> \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 t\u1ea1i m\u1ed9t \u0111i\u1ec3m l\u00e0 gi\u1edbi h\u1ea1n t\u1ec9 s\u1ed1 gi\u1eefa \u0111\u1ed9 t\u0103ng h\u00e0m s\u1ed1 v\u00e0 \u0111\u1ed9 t\u0103ng bi\u1ebfn s\u1ed1, khi \u0111\u1ed9 t\u0103ng n\u00e0y ti\u1ebfn d\u1ea7n v\u1ec1 0. N\u00f3i \u0111\u01a1n gi\u1ea3n, \u0111\u1ea1o h\u00e0m cho bi\u1ebft \u201ch\u00e0m s\u1ed1 thay \u0111\u1ed5i nhanh hay ch\u1eadm\u201d t\u1ea1i m\u1ed7i \u0111i\u1ec3m.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><i><span style=\"font-weight: 400;\">V\u00ed d\u1ee5:<\/span><\/i><span style=\"font-weight: 400;\"> N\u1ebfu y = f(x), th\u00ec \u0111\u1ea1o h\u00e0m t\u1ea1i x<\/span><span style=\"font-weight: 400;\">0<\/span><span style=\"font-weight: 400;\"> l\u00e0:<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u00dd ngh\u0129a h\u00ecnh h\u1ecdc v\u00e0 v\u1eadt l\u00fd:<\/b><span style=\"font-weight: 400;\"> \u0110\u1ea1o h\u00e0m th\u1ec3 hi\u1ec7n h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a ti\u1ebfp tuy\u1ebfn v\u1edbi \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 t\u1ea1i m\u1ed9t \u0111i\u1ec3m. Trong v\u1eadt l\u00fd, n\u00f3 bi\u1ec3u di\u1ec5n v\u1eadn t\u1ed1c t\u1ee9c th\u1eddi n\u1ebfu h\u00e0m s\u1ed1 m\u00f4 t\u1ea3 qu\u00e3ng \u0111\u01b0\u1eddng theo th\u1eddi gian.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>T\u1ea7m quan tr\u1ecdng:<\/b><span style=\"font-weight: 400;\"> \u0110\u1ea1o h\u00e0m l\u1edbp 11 kh\u00f4ng ch\u1ec9 l\u00e0 ki\u1ebfn th\u1ee9c c\u1ed1t l\u00f5i trong ch\u01b0\u01a1ng tr\u00ecnh ph\u1ed5 th\u00f4ng m\u00e0 c\u00f2n l\u00e0 ti\u1ec1n \u0111\u1ec1 cho gi\u1ea3i t\u00edch l\u1edbp 12 v\u00e0 c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 v\u1eadn t\u1ed1c, gia t\u1ed1c, t\u1ed1i \u01b0u h\u00f3a, x\u00e1c \u0111\u1ecbnh c\u1ef1c tr\u1ecb h\u00e0m s\u1ed1.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>C\u00e1ch ti\u1ebfp c\u1eadn, \u00f4n t\u1eadp hi\u1ec7u qu\u1ea3:<\/b>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u00d4n k\u1ef9 l\u00fd thuy\u1ebft \u0111\u1ea1o h\u00e0m l\u1edbp 11, hi\u1ec3u b\u1ea3n ch\u1ea5t thay v\u00ec h\u1ecdc thu\u1ed9c m\u00e1y m\u00f3c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Li\u00ean h\u1ec7 th\u1ef1c t\u1ebf v\u00e0 h\u00ecnh \u1ea3nh \u0111\u1ed3 th\u1ecb \u0111\u1ec3 d\u1ec5 h\u00ecnh dung.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">L\u00e0m nhi\u1ec1u b\u00e0i t\u1eadp r\u00e8n ph\u1ea3n x\u1ea1.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-530946 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-1.jpg\" alt=\"bang-dao-ham-lop-11-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2 style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11 \u0111\u1ea7y \u0111\u1ee7 v\u00e0 c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u1ea1o h\u00e0m l\u1edbp 11 l\u00e0 c\u00f4ng c\u1ee5 kh\u00f4ng th\u1ec3 thi\u1ebfu gi\u00fap h\u1ecdc sinh gi\u1ea3i nhanh c\u00e1c b\u00e0i to\u00e1n \u0111\u1ea1o h\u00e0m. Vi\u1ec7c thu\u1ed9c v\u00e0 v\u1eadn d\u1ee5ng linh ho\u1ea1t c\u00e1c c\u00f4ng th\u1ee9c l\u00e0 ch\u00eca kh\u00f3a \u0111\u1ea1t \u0111i\u1ec3m cao.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m c\u01a1 b\u1ea3n l\u1edbp 11<\/b><\/h3>\n<table>\n<tbody>\n<tr>\n<td><b>H\u00e0m s\u1ed1<\/b><\/td>\n<td><b>\u0110\u1ea1o h\u00e0m<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = c (h\u1eb1ng s\u1ed1)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = x<\/span><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\"> (n \u2208 \u211d)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = n x<\/span><span style=\"font-weight: 400;\">n-1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = \u221ax<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1\/(2\u221ax)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = 1\/x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = -1\/x<\/span><span style=\"font-weight: 400;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = a<\/span><span style=\"font-weight: 400;\">x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = a<\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\">ln(a)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = log<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1\/(x ln(a))<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 style=\"text-align: justify;\"><b>C\u00e1c quy t\u1eafc \u0111\u1ea1o h\u00e0m<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>\u0110\u1ea1o h\u00e0m t\u1ed5ng:<\/b><span style=\"font-weight: 400;\"> (u + v)&#8217; = u&#8217; + v&#8217;<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ea1o h\u00e0m hi\u1ec7u:<\/b><span style=\"font-weight: 400;\"> (u &#8211; v)&#8217; = u&#8217; &#8211; v&#8217;<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ea1o h\u00e0m t\u00edch:<\/b><span style=\"font-weight: 400;\"> (u.v)&#8217; = u&#8217;.v + u.v&#8217;<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ea1o h\u00e0m th\u01b0\u01a1ng:<\/b><span style=\"font-weight: 400;\"> (u\/v)&#8217; = (u&#8217;v &#8211; uv&#8217;) \/ v<\/span><span style=\"font-weight: 400;\">2<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><b>M\u1eb9o ghi nh\u1edb c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Vi\u1ebft ra gi\u1ea5y, v\u1ebd s\u01a1 \u0111\u1ed3 t\u01b0 duy t\u1eebng nh\u00f3m c\u00f4ng th\u1ee9c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng flashcard ho\u1eb7c app h\u1ecdc c\u00f4ng th\u1ee9c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u00c1p d\u1ee5ng ngay v\u00e0o b\u00e0i t\u1eadp \u0111\u1ec3 nh\u1edb l\u00e2u.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u1ea3i<\/span> <b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11 PDF<\/b> <span style=\"font-weight: 400;\">\u0111\u1ec3 \u00f4n luy\u1ec7n m\u1ecdi l\u00fac m\u1ecdi n\u01a1i.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-530947 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1.jpg\" alt=\"bang-dao-ham-lop-11-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-2-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 cho h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u1ea1o h\u00e0m c\u1ee7a c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c l\u00e0 ph\u1ea7n r\u1ea5t quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 11, th\u01b0\u1eddng xuy\u00ean xu\u1ea5t hi\u1ec7n trong \u0111\u1ec1 thi.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b>H\u00e0m s\u1ed1<\/b><\/td>\n<td><b>\u0110\u1ea1o h\u00e0m<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = sin x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = cos x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = cos x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = -sin x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = tan x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1\/cos<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">x = sec<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = cot x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = -1\/sin<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">x = -cosec<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">x<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>Ch\u00fa \u00fd:<\/b><span style=\"font-weight: 400;\"> Khi \u0111\u1ea1o h\u00e0m c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c ph\u1ee9c t\u1ea1p (v\u00ed d\u1ee5: sin(ax+b)), c\u1ea7n \u00e1p d\u1ee5ng quy t\u1eafc \u0111\u1ea1o h\u00e0m h\u00e0m h\u1ee3p.<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 cho h\u00e0m l\u0169y th\u1eeba, m\u0169, logarit<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00e1c h\u00e0m s\u1ed1 m\u0169, l\u0169y th\u1eeba, logarit c\u0169ng th\u01b0\u1eddng g\u1eb7p trong c\u00e1c b\u00e0i t\u1eadp \u0111\u1ea1o h\u00e0m l\u1edbp 11.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b>H\u00e0m s\u1ed1<\/b><\/td>\n<td><b>\u0110\u1ea1o h\u00e0m<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = x<\/span><span style=\"font-weight: 400;\">n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = n x<\/span><span style=\"font-weight: 400;\">n-1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = a<\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\"> (a &gt; 0, a \u2260 1)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = a<\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\">ln(a)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = ln x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1\/x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">y = log<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">x<\/span><\/td>\n<td><span style=\"font-weight: 400;\">y&#8217; = 1\/(x ln(a))<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u00c1p d\u1ee5ng \u0111\u00fang c\u00f4ng th\u1ee9c v\u00e0 quy t\u1eafc <\/span><b>b\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 x\u1eed l\u00fd c\u00e1c b\u00e0i to\u00e1n t\u1ed5ng h\u1ee3p.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>\u0110\u1ea1o h\u00e0m h\u00e0m h\u1ee3p v\u00e0 c\u00f4ng th\u1ee9c n\u00e2ng cao l\u1edbp 11<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u1ea1o h\u00e0m h\u00e0m h\u1ee3p l\u00e0 k\u1ef9 n\u0103ng quan tr\u1ecdng, \u1ee9ng d\u1ee5ng trong nhi\u1ec1u b\u00e0i to\u00e1n v\u1ec1 h\u00e0m s\u1ed1 ph\u1ee9c t\u1ea1p.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>Quy t\u1eafc \u0111\u1ea1o h\u00e0m h\u00e0m h\u1ee3p:<\/b>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">N\u1ebfu y = f(u), u = g(x) th\u00ec y&#8217; = f'(u) . u&#8217;<\/span><\/li>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">V\u00ed d\u1ee5:<\/span><\/i><span style=\"font-weight: 400;\"> y = sin(2x + 1) \u21d2 y&#8217; = cos(2x + 1) \u00d7 2<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ea1o h\u00e0m c\u00e1c h\u00e0m s\u1ed1 k\u1ebft h\u1ee3p:<\/b><span style=\"font-weight: 400;\"> K\u1ebft h\u1ee3p nhi\u1ec1u quy t\u1eafc (t\u00edch, th\u01b0\u01a1ng, h\u1ee3p) \u0111\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n n\u00e2ng cao.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">D\u00f9ng th\u00e0nh th\u1ea1o \u0111\u1ec3 kh\u1ea3o s\u00e1t, x\u00e1c \u0111\u1ecbnh c\u1ef1c tr\u1ecb, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn, v.v.<\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>H\u01b0\u1edbng d\u1eabn c\u00e1ch t\u00ednh \u0111\u1ea1o h\u00e0m l\u1edbp 11 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh \u0111\u1ea1o h\u00e0m l\u1edbp 11 hi\u1ec7u qu\u1ea3, c\u1ea7n n\u1eafm v\u1eefng c\u00e1c b\u01b0\u1edbc gi\u1ea3i v\u00e0 th\u01b0\u1eddng xuy\u00ean luy\u1ec7n t\u1eadp v\u1edbi b\u00e0i t\u1eadp th\u1ef1c t\u1ebf. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 h\u01b0\u1edbng d\u1eabn chi ti\u1ebft v\u00e0 v\u00ed d\u1ee5 minh h\u1ecda.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch h\u00e0m s\u1ed1<\/b><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh d\u1ea1ng h\u00e0m s\u1ed1 (\u0111a th\u1ee9c, l\u01b0\u1ee3ng gi\u00e1c, m\u0169, logarit, h\u1ee3p,&#8230;).<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ch\u1ecdn c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m ph\u00f9 h\u1ee3p.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>B\u01b0\u1edbc 2: \u00c1p d\u1ee5ng c\u00e1c quy t\u1eafc \u0111\u1ea1o h\u00e0m<\/b><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng quy t\u1eafc t\u1ed5ng, hi\u1ec7u, t\u00edch, th\u01b0\u01a1ng, h\u00e0m h\u1ee3p t\u00f9y b\u00e0i to\u00e1n.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-530941 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-3.jpg\" alt=\"bang-dao-ham-lop-11-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p style=\"text-align: justify;\"><b>B\u01b0\u1edbc 3: R\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c<\/b><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Bi\u1ebfn \u0111\u1ed5i, r\u00fat g\u1ecdn k\u1ebft qu\u1ea3 \u0111\u1ea1o h\u00e0m n\u1ebfu c\u1ea7n.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 minh h\u1ecda:<\/b><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>V\u00ed d\u1ee5 1:<\/b><span style=\"font-weight: 400;\"> T\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a y = 3x<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\"> &#8211; 5x + 2<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Gi\u1ea3i: y&#8217; = 3\u00d74x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> &#8211; 5 = 12x<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> &#8211; 5<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>V\u00ed d\u1ee5 2:<\/b><span style=\"font-weight: 400;\"> y = sin(2x) + ln(x)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Gi\u1ea3i: y&#8217; = cos(2x)\u00d72 + 1\/x = 2cos(2x) + 1\/x<\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>T\u00e0i nguy\u00ean h\u1ecdc t\u1eadp \u0111\u1ea1o h\u00e0m l\u1edbp 11 (PDF, Word, Excel, app)<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00f3 nhi\u1ec1u t\u00e0i li\u1ec7u v\u00e0 c\u00f4ng c\u1ee5 h\u1ed7 tr\u1ee3 vi\u1ec7c h\u1ecdc <\/span><b>b\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><span style=\"font-weight: 400;\">, gi\u00fap b\u1ea1n \u00f4n t\u1eadp m\u1ecdi l\u00fac m\u1ecdi n\u01a1i.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>B\u1ea3ng c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 PDF:<\/b><span style=\"font-weight: 400;\"> T\u1ed5ng h\u1ee3p \u0111\u1ea7y \u0111\u1ee7, tr\u00ecnh b\u00e0y khoa h\u1ecdc, d\u1ec5 in v\u00e0 tra c\u1ee9u nhanh.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>File Word, Excel:<\/b><span style=\"font-weight: 400;\"> D\u1ec5 ch\u1ec9nh s\u1eeda, t\u1ef1 l\u00e0m flashcard ho\u1eb7c b\u1ea3ng t\u1ed5ng h\u1ee3p c\u00e1 nh\u00e2n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>App &amp; ph\u1ea7n m\u1ec1m:<\/b><span style=\"font-weight: 400;\"> C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c app t\u00ednh \u0111\u1ea1o h\u00e0m l\u1edbp 11 tr\u00ean \u0111i\u1ec7n tho\u1ea1i ho\u1eb7c ph\u1ea7n m\u1ec1m m\u00e1y t\u00ednh \u0111\u1ec3 ki\u1ec3m tra k\u1ebft qu\u1ea3, luy\u1ec7n t\u1eadp nhanh.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-530942 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-4.jpg\" alt=\"bang-dao-ham-lop-11-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2 style=\"text-align: justify;\"><b>So s\u00e1nh b\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11 v\u00e0 l\u1edbp 12: Li\u00ean k\u1ebft ki\u1ebfn th\u1ee9c v\u00e0 \u1ee9ng d\u1ee5ng<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ki\u1ebfn th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 l\u00e0 n\u1ec1n t\u1ea3ng quan tr\u1ecdng cho gi\u1ea3i t\u00edch l\u1edbp 12 v\u00e0 c\u00e1c k\u1ef3 thi \u0111\u1ea1i h\u1ecdc. S\u1ef1 kh\u00e1c bi\u1ec7t ch\u00ednh gi\u1eefa hai c\u1ea5p h\u1ecdc n\u1eb1m \u1edf m\u1ee9c \u0111\u1ed9 \u1ee9ng d\u1ee5ng v\u00e0 \u0111\u1ed9 ph\u1ee9c t\u1ea1p c\u1ee7a b\u00e0i to\u00e1n.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>L\u1edbp 11:<\/b><span style=\"font-weight: 400;\"> T\u1eadp trung v\u00e0o \u0111\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n, quy t\u1eafc \u0111\u1ea1o h\u00e0m v\u00e0 v\u1eadn d\u1ee5ng gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n t\u00ednh \u0111\u1ea1o h\u00e0m, ti\u1ebfp tuy\u1ebfn, kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 \u0111\u01a1n gi\u1ea3n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>L\u1edbp 12:<\/b><span style=\"font-weight: 400;\"> \u1ee8ng d\u1ee5ng \u0111\u1ea1o h\u00e0m s\u00e2u h\u01a1n: kh\u1ea3o s\u00e1t, v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1, t\u00ecm c\u1ef1c tr\u1ecb, gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t nh\u1ecf nh\u1ea5t, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh li\u00ean quan.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>K\u1ef3 thi \u0111\u1ea1i h\u1ecdc:<\/b><span style=\"font-weight: 400;\"> Ch\u1ee7 y\u1ebfu \u1ee9ng d\u1ee5ng ki\u1ebfn th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 cho c\u00e1c b\u00e0i to\u00e1n kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1, c\u1ef1c tr\u1ecb, ti\u1ebfp tuy\u1ebfn, v\u1eadn t\u1ed1c, t\u1ed1i \u01b0u h\u00f3a,&#8230;<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/bang-dao-ham-lop-11-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-530943 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-5.jpg\" alt=\"bang-dao-ham-lop-11-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/bang-dao-ham-lop-11-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2 style=\"text-align: justify;\"><b>\u1ee8ng d\u1ee5ng th\u1ef1c ti\u1ec5n v\u00e0 m\u1ed9t s\u1ed1 l\u01b0u \u00fd khi h\u1ecdc \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11<\/b><span style=\"font-weight: 400;\"> kh\u00f4ng ch\u1ec9 l\u00e0 ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft m\u00e0 c\u00f2n c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n trong \u0111\u1eddi s\u1ed1ng v\u00e0 c\u00e1c ng\u00e0nh khoa h\u1ecdc.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>\u1ee8ng d\u1ee5ng trong v\u1eadt l\u00fd:<\/b><span style=\"font-weight: 400;\"> T\u00ednh v\u1eadn t\u1ed1c t\u1ee9c th\u1eddi, gia t\u1ed1c, chuy\u1ec3n \u0111\u1ed9ng bi\u1ebfn \u0111\u1ed5i.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u1ee8ng d\u1ee5ng trong kinh t\u1ebf:<\/b><span style=\"font-weight: 400;\"> T\u00ecm \u0111i\u1ec3m t\u1ed1i \u01b0u, c\u1ef1c tr\u1ecb (l\u1ee3i nhu\u1eadn, chi ph\u00ed,&#8230;).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>K\u1ef9 thu\u1eadt:<\/b><span style=\"font-weight: 400;\"> Ph\u00e2n t\u00edch t\u00edn hi\u1ec7u, t\u1ef1 \u0111\u1ed9ng h\u00f3a, robot, m\u00f4 h\u00ecnh h\u00f3a.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>L\u01b0u \u00fd khi h\u1ecdc:<\/b><span style=\"font-weight: 400;\"> Kh\u00f4ng h\u1ecdc thu\u1ed9c m\u00e1y m\u00f3c, n\u00ean hi\u1ec3u b\u1ea3n ch\u1ea5t, luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean v\u00e0 tham kh\u1ea3o nhi\u1ec1u ngu\u1ed3n t\u00e0i li\u1ec7u kh\u00e1c nhau.<\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11 c\u00f3 th\u1ec3 t\u1ea3i \u1edf \u0111\u00e2u?<\/b><\/p>\n<p style=\"text-align: justify;\">B\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i b\u1ea3ng c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m l\u1edbp 11 d\u1ea1ng PDF, Word ho\u1eb7c Excel. H\u00e3y t\u1ea3i t\u1eeb c\u00e1c website gi\u00e1o d\u1ee5c uy t\u00edn. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 d\u00f9ng n\u00fat t\u1ea3i trong b\u00e0i vi\u1ebft \u0111\u1ec3 h\u1ecdc offline.<\/p>\n<p style=\"text-align: justify;\"><b>\u0110\u1ea1o h\u00e0m l\u1edbp 11 kh\u00e1c g\u00ec so v\u1edbi l\u1edbp 12?<\/b><\/p>\n<p style=\"text-align: justify;\">L\u1edbp 11 t\u1eadp trung v\u00e0o \u0111\u1ecbnh ngh\u0129a v\u00e0 c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m. B\u1ea1n c\u0169ng h\u1ecdc c\u00e1c ph\u00e9p t\u00ednh \u0111\u1ea1o h\u00e0m c\u01a1 b\u1ea3n. L\u00ean l\u1edbp 12, b\u1ea1n h\u1ecdc \u1ee9ng d\u1ee5ng \u0111\u1ea1o h\u00e0m \u0111\u1ec3 kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1. B\u1ea1n t\u00ecm c\u1ef1c tr\u1ecb v\u00e0 gi\u1ea3i b\u00e0i to\u00e1n th\u1ef1c t\u1ebf ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n<p style=\"text-align: justify;\"><b>C\u00f3 n\u00ean d\u00f9ng app ho\u1eb7c m\u00e1y t\u00ednh \u0111\u1ec3 t\u00ednh \u0111\u1ea1o h\u00e0m kh\u00f4ng?<\/b><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">N\u00ean d\u00f9ng app ho\u1eb7c m\u00e1y t\u00ednh c\u1ea7m tay \u0111\u1ec3 ki\u1ec3m tra k\u1ebft qu\u1ea3, luy\u1ec7n t\u1eadp nhanh. Tuy nhi\u00ean, b\u1ea1n v\u1eabn c\u1ea7n hi\u1ec3u b\u1ea3n ch\u1ea5t v\u00e0 t\u1ef1 l\u00e0m b\u1eb1ng tay \u0111\u1ec3 luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n cho c\u00e1c k\u1ef3 thi.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>H\u1ecdc \u0111\u1ea1o h\u00e0m l\u1edbp 11 c\u00f3 \u1ee9ng d\u1ee5ng g\u00ec th\u1ef1c t\u1ebf?<\/b><\/p>\n<div class=\"flex flex-col text-sm pb-25\">\n<article class=\"text-token-text-primary w-full focus:outline-none [--shadow-height:45px] has-data-writing-block:pointer-events-none has-data-writing-block:-mt-(--shadow-height) has-data-writing-block:pt-(--shadow-height) [&amp;:has([data-writing-block])&gt;*]:pointer-events-auto scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]\" dir=\"auto\" data-turn-id=\"request-WEB:1e788d0f-0f36-4bba-9566-0986460d2579-1\" data-testid=\"conversation-turn-4\" data-scroll-anchor=\"true\" data-turn=\"assistant\">\n<div class=\"text-base my-auto mx-auto pb-10 [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm\/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg\/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)\">\n<div class=\"[--thread-content-max-width:40rem] @w-lg\/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group\/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn\">\n<div class=\"flex max-w-full flex-col gap-4 grow\">\n<div class=\"min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal [.text-message+&amp;]:mt-1\" dir=\"auto\" data-message-author-role=\"assistant\" data-message-id=\"9e1c441b-0d99-4262-8e8e-91e028174506\" data-message-model-slug=\"gpt-5-3\">\n<div class=\"flex w-full flex-col gap-1 empty:hidden\">\n<div class=\"markdown prose dark:prose-invert w-full wrap-break-word light markdown-new-styling\">\n<p data-start=\"0\" data-end=\"199\" data-is-last-node=\"\" data-is-only-node=\"\">\u0110\u1ea1o h\u00e0m gi\u00fap gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n bi\u1ebfn \u0111\u1ed5i. N\u00f3 d\u00f9ng \u0111\u1ec3 t\u00ednh v\u1eadn t\u1ed1c v\u00e0 gia t\u1ed1c trong v\u1eadt l\u00fd. \u0110\u1ea1o h\u00e0m c\u00f2n h\u1ed7 tr\u1ee3 t\u1ed1i \u01b0u l\u1ee3i nhu\u1eadn trong kinh t\u1ebf. Ngo\u00e0i ra, n\u00f3 gi\u00fap ph\u00e2n t\u00edch t\u00edn hi\u1ec7u trong k\u1ef9 thu\u1eadt.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/article>\n<\/div>\n<p style=\"text-align: justify;\"><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><span style=\"color: #339966;\"><strong><a style=\"color: #339966;\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\">S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c<\/a><\/strong><\/span><\/p>\n<\/li>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><span style=\"color: #339966;\"><strong><a style=\"color: #339966;\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tia-doi-la-gi-toan-tap-kien-thuc-ve-tia-doi-trong-hinh-hoc\/\">Tia \u0110\u1ed1i L\u00e0 G\u00ec? To\u00e0n T\u1eadp Ki\u1ebfn Th\u1ee9c V\u1ec1 Tia \u0110\u1ed1i Trong H\u00ecnh H\u1ecdc<\/a><\/strong><\/span><\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea3ng \u0111\u1ea1o h\u00e0m l\u1edbp 11 l\u00e0 t\u1eadp h\u1ee3p c\u00e1c c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m c\u01a1 b\u1ea3n v\u00e0 n\u00e2ng cao m\u00e0 h\u1ecdc sinh c\u1ea7n n\u1eafm v\u1eefng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 11. Vi\u1ec7c hi\u1ec3u v\u00e0 nh\u1edb \u0111\u01b0\u1ee3c c\u00e1c c\u00f4ng th\u1ee9c n\u00e0y gi\u00fap gi\u1ea3i quy\u1ebft hi\u1ec7u qu\u1ea3 c\u00e1c b\u00e0i to\u00e1n v\u1ec1 \u0111\u1ea1o h\u00e0m, t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":530939,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-530851","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>B\u1ea3ng \u0110\u1ea1o H\u00e0m L\u1edbp 11: T\u1eeb A \u0110\u1ebfn Z V\u1edbi B\u1ea3ng C\u00f4ng Th\u1ee9c Chu\u1ea9n<\/title>\n<meta name=\"description\" content=\"T\u1ed5ng h\u1ee3p \u0111\u1ea1o h\u00e0m l\u1edbp 11 t\u1eeb A \u0111\u1ebfn Z v\u1edbi b\u1ea3ng c\u00f4ng th\u1ee9c chu\u1ea9n, d\u1ec5 hi\u1ec3u. H\u01b0\u1edbng d\u1eabn c\u00e1ch h\u1ecdc v\u00e0 \u00e1p d\u1ee5ng \u0111\u1ea1o h\u00e0m hi\u1ec7u qu\u1ea3 cho h\u1ecdc sinh.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tuyet-chieu-nam-vung-dao-ham-lop-11-tu-a-den-z-voi-bang-cong-thuc-chuan\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tuy\u1ec7t Chi\u00eau N\u1eafm V\u1eefng \u0110\u1ea1o H\u00e0m L\u1edbp 11: T\u1eeb A \u0110\u1ebfn Z V\u1edbi B\u1ea3ng C\u00f4ng Th\u1ee9c Chu\u1ea9n\" \/>\n<meta property=\"og:description\" content=\"T\u1ed5ng h\u1ee3p \u0111\u1ea1o h\u00e0m l\u1edbp 11 t\u1eeb A \u0111\u1ebfn Z v\u1edbi b\u1ea3ng c\u00f4ng th\u1ee9c chu\u1ea9n, d\u1ec5 hi\u1ec3u. 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