{"id":972,"date":"2026-05-05T06:09:49","date_gmt":"2026-05-05T06:09:49","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-11\/"},"modified":"2026-05-05T07:50:59","modified_gmt":"2026-05-05T07:50:59","slug":"bo-de-thi-giua-ki-1-toan-11","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-11\/","title":{"rendered":"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n"},"content":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang ph\u1ea3i \u0111\u1ed1i m\u1eb7t v\u1edbi \u00e1p l\u1ef1c khi k\u1ef3 thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 \u0111ang c\u1eadn k\u1ec1, nh\u01b0ng v\u1eabn ch\u01b0a t\u00ecm \u0111\u01b0\u1ee3c ngu\u1ed3n t\u00e0i li\u1ec7u \u00f4n luy\u1ec7n \u0111\u1ee7 chu\u1ea9n? Hay b\u1ea1n b\u0103n kho\u0103n kh\u00f4ng bi\u1ebft \u0111\u00e2u l\u00e0 ph\u01b0\u01a1ng ph\u00e1p hi\u1ec7u qu\u1ea3 \u0111\u1ec3 luy\u1ec7n t\u1eadp \u0111\u1ed3ng th\u1eddi c\u1ea3 ba ch\u01b0\u01a1ng tr\u00ecnh Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o, K\u1ebft N\u1ed1i Tri Th\u1ee9c v\u00e0 C\u00e1nh Di\u1ec1u? V\u1edbi <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11<\/strong>, b\u1ea1n s\u1ebd s\u1edf h\u1eefu kho \u0111\u1ec1 thi ho\u00e0n ch\u1ec9nh gi\u00fap l\u00e0m ch\u1ee7 ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m nh\u01b0 h\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c, d\u00e3y s\u1ed1, gi\u1edbi h\u1ea1n, \u2026 C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi Edu<\/strong><\/a> kh\u00e1m ph\u00e1 b\u1ed9 t\u00e0i li\u1ec7u \u0111\u1eb7c bi\u1ec7t n\u00e0y ngay sau \u0111\u00e2y!<\/p>\n<h2><strong>V\u00ec sao n\u00ean ch\u1ecdn B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/strong><\/h2>\n<p>\u0110i\u1ec1u g\u00ec khi\u1ebfn <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11<\/strong> tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn h\u00e0ng \u0111\u1ea7u c\u1ee7a h\u1ecdc sinh v\u00e0 gi\u00e1o vi\u00ean trong giai \u0111o\u1ea1n \u00f4n t\u1eadp quan tr\u1ecdng n\u00e0y? Nh\u1eefng \u01b0u \u0111i\u1ec3m n\u1ed5i b\u1eadt sau \u0111\u00e2y s\u1ebd gi\u1ea3i \u0111\u00e1p c\u00e2u h\u1ecfi \u0111\u00f3:<\/p>\n<ul>\n<li><strong>Bao ph\u1ee7 \u0111\u1ea7y \u0111\u1ee7 3 b\u1ed9 s\u00e1ch gi\u00e1o khoa m\u1edbi:<\/strong> T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n ri\u00eang bi\u1ec7t cho t\u1eebng ch\u01b0\u01a1ng tr\u00ecnh Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o, K\u1ebft N\u1ed1i Tri Th\u1ee9c v\u00e0 C\u00e1nh Di\u1ec1u, \u0111\u1ea3m b\u1ea3o s\u00e1t v\u1edbi n\u1ed9i dung h\u1ecdc sinh \u0111ang theo h\u1ecdc.<\/li>\n<li><strong>C\u1eadp nh\u1eadt theo xu h\u01b0\u1edbng \u0111\u1ec1 thi c\u1ea5u tr\u00fac m\u1edbi:<\/strong> C\u00e1c \u0111\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf d\u1ef1a tr\u00ean ma tr\u1eadn \u0111\u1ec1 thi m\u1edbi nh\u1ea5t, ph\u1ea3n \u00e1nh ch\u00ednh x\u00e1c c\u1ea5u tr\u00fac v\u00e0 d\u1ea1ng c\u00e2u h\u1ecfi th\u1ef1c t\u1ebf.<\/li>\n<li><strong>Ph\u00e2n t\u1ea7ng r\u00f5 r\u00e0ng theo m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c:<\/strong> M\u1ed7i \u0111\u1ec1 thi \u0111\u1ec1u c\u00f3 c\u00e2u h\u1ecfi t\u1eeb nh\u1eadn bi\u1ebft, th\u00f4ng hi\u1ec3u, v\u1eadn d\u1ee5ng v\u00e0 v\u1eadn d\u1ee5ng cao gi\u00fap b\u1ea1n \u0111\u00e1nh gi\u00e1 \u0111\u00fang n\u0103ng l\u1ef1c b\u1ea3n th\u00e2n.<\/li>\n<li><strong>B\u1ed9 \u0111\u1ec1 \u0111a d\u1ea1ng t\u1eeb nhi\u1ec1u tr\u01b0\u1eddng tr\u00ean c\u1ea3 n\u01b0\u1edbc:<\/strong> B\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c l\u00e0m quen v\u1edbi phong c\u00e1ch ra \u0111\u1ec1 c\u1ee7a nhi\u1ec1u t\u1ec9nh th\u00e0nh kh\u00e1c nhau, m\u1edf r\u1ed9ng v\u1ed1n b\u00e0i t\u1eadp v\u00e0 kinh nghi\u1ec7m l\u00e0m b\u00e0i.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/strong><\/h2>\n<p><a href=\"https:\/\/tailieuonthi.edu.vn\/lop-11\/toan-11\/\" rel=\"noopener\" target=\"_blank\"><strong>B\u1ed9 t\u00e0i li\u1ec7u to\u00e1n 11<\/strong><\/a> n\u00e0y \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng v\u1edbi \u0111\u1ecbnh h\u01b0\u1edbng ph\u00e1t tri\u1ec3n n\u0103ng l\u1ef1c to\u00e1n h\u1ecdc, t\u1eadp trung v\u00e0o nh\u1eefng chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m c\u1ee7a h\u1ecdc k\u00ec 1 l\u1edbp 11. C\u1ea5u tr\u00fac b\u00e0i thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf khoa h\u1ecdc, gi\u00fap h\u1ecdc sinh v\u1eeba \u00f4n t\u1eadp ki\u1ebfn th\u1ee9c v\u1eeba r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng l\u00e0m b\u00e0i hi\u1ec7u qu\u1ea3.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p><strong>1. Ph\u00e2n b\u1ed5 chuy\u00ean \u0111\u1ec1 ki\u1ebfn th\u1ee9c ch\u00ednh:<\/strong><\/p>\n<p>C\u00e1c \u0111\u1ec1 thi trong b\u1ed9 t\u00e0i li\u1ec7u bao qu\u00e1t to\u00e0n b\u1ed9 n\u1ed9i dung tr\u1ecdng t\u00e2m c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 11 h\u1ecdc k\u00ec 1, bao g\u1ed3m:<\/p>\n<table border=\"1\">\n<thead>\n<tr>\n<th><strong>Chuy\u00ean \u0111\u1ec1<\/strong><\/th>\n<th><strong>N\u1ed9i dung tr\u1ecdng t\u00e2m<\/strong><\/th>\n<th><strong>T\u1ef7 tr\u1ecdng trong \u0111\u1ec1<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>H\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c<\/strong><\/td>\n<td>Gi\u00e1 tr\u1ecb l\u01b0\u1ee3ng gi\u00e1c, c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n, \u0111\u1ed3 th\u1ecb h\u00e0m sin, cos<\/td>\n<td>25 \u2013 30%<\/td>\n<\/tr>\n<tr>\n<td><strong>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/strong><\/td>\n<td>Ph\u01b0\u01a1ng tr\u00ecnh c\u01a1 b\u1ea3n, ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t, b\u1eadc hai \u0111\u1ed1i v\u1edbi sin, cos<\/td>\n<td>20 \u2013 25%<\/td>\n<\/tr>\n<tr>\n<td><strong>D\u00e3y s\u1ed1<\/strong><\/td>\n<td>Kh\u00e1i ni\u1ec7m d\u00e3y s\u1ed1, t\u00ednh ch\u1ea5t, c\u1ea5p s\u1ed1 c\u1ed9ng, c\u1ea5p s\u1ed1 nh\u00e2n<\/td>\n<td>20 \u2013 25%<\/td>\n<\/tr>\n<tr>\n<td><strong>Gi\u1edbi h\u1ea1n<\/strong><\/td>\n<td>Gi\u1edbi h\u1ea1n d\u00e3y s\u1ed1, gi\u1edbi h\u1ea1n h\u00e0m s\u1ed1, c\u00e1c ph\u00e9p to\u00e1n v\u1ec1 gi\u1edbi h\u1ea1n<\/td>\n<td>25 \u2013 30%<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0110\u1ea1o h\u00e0m<\/strong><\/td>\n<td>\u0110\u1ecbnh ngh\u0129a \u0111\u1ea1o h\u00e0m, \u00fd ngh\u0129a h\u00ecnh h\u1ecdc, quy t\u1eafc t\u00ednh \u0111\u1ea1o h\u00e0m<\/td>\n<td>10 \u2013 15%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>2. C\u1ea5u tr\u00fac \u0111\u1ec1 thi theo m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c:<\/strong><\/p>\n<p>M\u1ed7i \u0111\u1ec1 thi trong b\u1ed9 \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo ma tr\u1eadn chu\u1ea9n v\u1edbi 4 m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c, ph\u00e2n b\u1ed5 h\u1ee3p l\u00fd \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 to\u00e0n di\u1ec7n n\u0103ng l\u1ef1c h\u1ecdc sinh:<\/p>\n<table border=\"1\">\n<thead>\n<tr>\n<th><strong>M\u1ee9c \u0111\u1ed9<\/strong><\/th>\n<th><strong>D\u1ea1ng c\u00e2u h\u1ecfi \u0111i\u1ec3n h\u00ecnh<\/strong><\/th>\n<th><strong>T\u1ef7 l\u1ec7 c\u00e2u<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>Nh\u1eadn bi\u1ebft<\/strong><\/td>\n<td>Nh\u1eadn d\u1ea1ng c\u00f4ng th\u1ee9c, x\u00e1c \u0111\u1ecbnh t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a h\u00e0m s\u1ed1, d\u00e3y s\u1ed1<\/td>\n<td>30 \u2013 35%<\/td>\n<\/tr>\n<tr>\n<td><strong>Th\u00f4ng hi\u1ec3u<\/strong><\/td>\n<td>Bi\u1ebfn \u0111\u1ed5i bi\u1ec3u th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c, t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a d\u00e3y s\u1ed1 t\u1ea1i v\u1ecb tr\u00ed cho tr\u01b0\u1edbc<\/td>\n<td>30 \u2013 35%<\/td>\n<\/tr>\n<tr>\n<td><strong>V\u1eadn d\u1ee5ng<\/strong><\/td>\n<td>Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c, t\u00ecm gi\u1edbi h\u1ea1n h\u00e0m s\u1ed1, \u00e1p d\u1ee5ng quy t\u1eafc \u0111\u1ea1o h\u00e0m<\/td>\n<td>20 \u2013 25%<\/td>\n<\/tr>\n<tr>\n<td><strong>V\u1eadn d\u1ee5ng cao<\/strong><\/td>\n<td>B\u00e0i to\u00e1n t\u1ed5ng h\u1ee3p nhi\u1ec1u ki\u1ebfn th\u1ee9c, ch\u1ee9ng minh t\u00ednh ch\u1ea5t, t\u00ecm tham s\u1ed1<\/td>\n<td>10 \u2013 15%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>\u0110i\u1ec3m \u0111\u1eb7c bi\u1ec7t c\u1ee7a b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y ch\u00ednh l\u00e0 ph\u1ea7n \u0111\u00e1p \u00e1n \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y m\u1ed9t c\u00e1ch khoa h\u1ecdc v\u00e0 chi ti\u1ebft.<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter wp-image-5373\" decoding=\"async\" height=\"1106\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-1.jpg 576w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-1-217x300.jpg 217w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter wp-image-5372\" decoding=\"async\" height=\"1154\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-2.jpg 570w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-11-2-208x300.jpg 208w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11<\/strong> mi\u1ec5n ph\u00ed c\u00f3 \u0111\u00e1p \u00e1n ch\u00ednh l\u00e0 c\u00f4ng c\u1ee5 \u0111\u1eafc l\u1ef1c gi\u00fap b\u1ea1n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng v\u00e0 l\u00e0m quen v\u1edbi c\u1ea5u tr\u00fac \u0111\u1ec1 thi th\u1ef1c t\u1ebf, t\u1eeb \u0111\u00f3 t\u1ef1 tin b\u01b0\u1edbc v\u00e0o ph\u00f2ng thi v\u1edbi k\u1ebft qu\u1ea3 cao nh\u1ea5t. H\u00e3y t\u1ea3i ngay b\u1ed9 t\u00e0i li\u1ec7u v\u1ec1 m\u00e1y v\u00e0 b\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh chinh ph\u1ee5c \u0111i\u1ec3m 10 m\u00f4n to\u00e1n ngay h\u00f4m nay!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1PQpzwjSbxNgShrl8_5a5ru1IudlehFcT\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 N\u0103m 2025 (Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1OiC8hh4awLW_1Qdf3UBmpIEDv4gPC3hq\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 N\u0103m 2025 (K\u1ebft N\u1ed1i Tri Th\u1ee9c)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1kNVi8x4mCfV4GiPQ19hBb9lNmcrt3-2U\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 N\u0103m 2025 (C\u00e1nh Di\u1ec1u)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1BXX8Ui5A_oXMjDHCL0aAHakuH3K31CHu\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0111\u1ec1 thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 c\u00e1c tr\u01b0\u1eddng n\u0103m 2024 \u2013 2025<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang ph\u1ea3i \u0111\u1ed1i m\u1eb7t v\u1edbi \u00e1p l\u1ef1c khi k\u1ef3 thi Gi\u1eefa K\u00ec 1 To\u00e1n 11 \u0111ang c\u1eadn k\u1ec1, nh\u01b0ng v\u1eabn ch\u01b0a t\u00ecm \u0111\u01b0\u1ee3c ngu\u1ed3n t\u00e0i li\u1ec7u \u00f4n luy\u1ec7n \u0111\u1ee7 chu\u1ea9n? Hay b\u1ea1n b\u0103n kho\u0103n kh\u00f4ng bi\u1ebft \u0111\u00e2u l\u00e0 ph\u01b0\u01a1ng ph\u00e1p hi\u1ec7u qu\u1ea3 \u0111\u1ec3 luy\u1ec7n t\u1eadp \u0111\u1ed3ng th\u1eddi c\u1ea3 ba ch\u01b0\u01a1ng tr\u00ecnh Ch\u00e2n Tr\u1eddi [&#8230;]\n","protected":false},"author":1,"featured_media":2170,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[16],"class_list":["post-972","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-11","tag-toan-11"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=972"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/972\/revisions"}],"predecessor-version":[{"id":2171,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/972\/revisions\/2171"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2170"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}