{"id":438,"date":"2026-05-05T04:45:46","date_gmt":"2026-05-05T04:45:46","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/knock-out-tong-on-luyen-de-toan-12-pdf\/"},"modified":"2026-05-05T07:18:36","modified_gmt":"2026-05-05T07:18:36","slug":"knock-out-tong-on-luyen-de-toan-12-pdf","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/knock-out-tong-on-luyen-de-toan-12-pdf\/","title":{"rendered":"Knock Out t\u1ed5ng \u00f4n &#038; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF C\u00f4 Ng\u1ecdc Huy\u1ec1n LB"},"content":{"rendered":"<p>Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF C\u00f4 Ng\u1ecdc Huy\u1ec1n LB l\u00e0 t\u00e0i li\u1ec7u luy\u1ec7n thi chuy\u00ean s\u00e2u \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf d\u00e0nh ri\u00eang cho h\u1ecdc sinh l\u1edbp 12 \u0111ang b\u01b0\u1edbc v\u00e0o giai \u0111o\u1ea1n n\u01b0\u1edbc r\u00fat \u00f4n thi THPT Qu\u1ed1c gia. H\u00e3y c\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" target=\"_blank\" rel=\"noopener\">T\u00e0i Li\u1ec7u \u00d4n Thi<\/a> kh\u00e1m ph\u00e1 cu\u1ed1n s\u00e1ch n\u00e0y \u0111\u1ec3 l\u00e0m ch\u1ee7 chi\u1ebfn l\u01b0\u1ee3c l\u00e0m b\u00e0i v\u00e0 b\u1ee9t ph\u00e1 \u0111i\u1ec3m s\u1ed1 m\u00f4n To\u00e1n ngay h\u00f4m nay!<\/p>\n<h2>N\u1ed9i dung Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF<\/h2>\n<p>Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF l\u00e0 b\u1ed9 <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-12\/toan-12\/\" rel=\"noopener\" target=\"_blank\">t\u00e0i li\u1ec7u to\u00e1n l\u1edbp 12<\/a> h\u1ec7 th\u1ed1ng h\u00f3a to\u00e0n b\u1ed9 ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 12 v\u00e0 l\u1edbp 11 li\u00ean quan, gi\u00fap h\u1ecdc sinh d\u1ec5 d\u00e0ng \u00f4n luy\u1ec7n theo chuy\u00ean \u0111\u1ec1 v\u00e0 l\u00e0m quen v\u1edbi c\u1ea5u tr\u00fac \u0111\u1ec1 thi THPT Qu\u1ed1c gia. T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c chia th\u00e0nh hai ph\u1ea7n: ph\u1ea7n t\u1ed5ng \u00f4n ki\u1ebfn th\u1ee9c theo t\u1eebng bu\u1ed5i h\u1ecdc v\u00e0 ph\u1ea7n luy\u1ec7n \u0111\u1ec1 \u0111i\u1ec3n h\u00ecnh, c\u1ee5 th\u1ec3 nh\u01b0 sau:<\/p>\n<p><strong>PART 1. T\u1ed4NG \u00d4N<\/strong><\/p>\n<p><strong>Chapter 1: H\u00ecnh h\u1ecdc kh\u00f4ng gian l\u1edbp 11<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 1. B\u00e0i to\u00e1n v\u1ec1 g\u00f3c trong kh\u00f4ng gian \u2013 trang 10<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 2. B\u00e0i to\u00e1n v\u1ec1 kho\u1ea3ng c\u00e1ch trong kh\u00f4ng gian \u2013 trang 14<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 3. B\u00e0i to\u00e1n v\u1ec1 th\u1ec3 t\u00edch \u2013 trang 18<\/li>\n<\/ul>\n<p><strong>Chapter 2: M\u0169 \u2013 Logarit<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 4. Ph\u01b0\u01a1ng tr\u00ecnh \u2013 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169 \u2013 logarit \u2013 trang 22<\/li>\n<\/ul>\n<p><strong>Chapter 3: X\u00e1c su\u1ea5t l\u1edbp 10 &amp; 11<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 5. T\u00ednh x\u00e1c su\u1ea5t b\u1eb1ng \u0111\u1ecbnh ngh\u0129a \u2013 trang 26<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 6. C\u00e1c quy t\u1eafc t\u00ednh x\u00e1c su\u1ea5t \u2013 trang 30<\/li>\n<\/ul>\n<p><strong>Chapter 4: \u1ee8ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m \u0111\u1ec3 kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 7. T\u00ednh \u0111\u01a1n \u0111i\u1ec7u v\u00e0 c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 \u2013 trang 34<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 8. Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t v\u00e0 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 \u2013 trang 38<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 9. \u0110\u01b0\u1eddng ti\u1ec7m c\u1eadn v\u00e0 kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1 \u2013 trang 42<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 10. \u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a h\u00e0m s\u1ed1 \u2013 trang 46<\/li>\n<\/ul>\n<p><strong>Chapter 5: Nguy\u00ean h\u00e0m \u2013 T\u00edch ph\u00e2n<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 11. B\u00e0i to\u00e1n t\u00ecm nguy\u00ean h\u00e0m \u2013 t\u00edch ph\u00e2n \u2013 trang 52<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 12. B\u00e0i to\u00e1n \u1ee9ng d\u1ee5ng t\u00edch ph\u00e2n v\u00e0o di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng n\u00e2ng cao \u2013 trang 56<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 13. \u1ee8ng d\u1ee5ng c\u1ee7a nguy\u00ean h\u00e0m \u2013 t\u00edch ph\u00e2n v\u00e0o h\u00ecnh h\u1ecdc th\u1ef1c t\u1ebf \u2013 trang 60<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 14. \u1ee8ng d\u1ee5ng c\u1ee7a nguy\u00ean h\u00e0m \u2013 t\u00edch ph\u00e2n v\u00e0o c\u01a1 h\u1ecdc \u2013 trang 66<\/li>\n<\/ul>\n<p><strong>Chapter 6: Vecto v\u00e0 c\u00e1c ph\u00e9p to\u00e1n vecto trong kh\u00f4ng gian<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 15. C\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn vecto trong kh\u00f4ng gian \u2013 trang 72<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 16. \u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn vecto \u2013 trang 76<\/li>\n<\/ul>\n<p><strong>Chapter 7: Ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 17. Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trong kh\u00f4ng gian \u2013 trang 82<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 18. Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng trong kh\u00f4ng gian \u2013 trang 86<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 19. B\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn c\u00f4ng th\u1ee9c t\u00ednh g\u00f3c \u2013 trang 90<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 20. Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t c\u1ea7u trong kh\u00f4ng gian v\u00e0 c\u00e1c d\u1ea1ng to\u00e1n th\u1ef1c t\u1ebf \u2013 trang 94<\/li>\n<\/ul>\n<p><strong>Chapter 8: Th\u1ed1ng k\u00ea v\u00e0 x\u00e1c su\u1ea5t<\/strong><\/p>\n<ul>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 21. C\u00e1c s\u1ed1 \u0111\u1eb7c tr\u01b0ng \u0111o \u0111\u1ed9 ph\u00e2n t\u00e1n c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u gh\u00e9p nh\u00f3m \u2013 trang 100<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 22. X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n \u2013 trang 106<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 23. C\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t to\u00e0n ph\u1ea7n v\u00e0 c\u00f4ng th\u1ee9c Bayes \u2013 trang 110<\/li>\n<li>T\u1ed5ng \u00f4n tr\u1ecdng t\u00e2m bu\u1ed5i 24. B\u00e0i to\u00e1n t\u00ednh x\u00e1c su\u1ea5t t\u1ed5ng h\u1ee3p \u2013 trang 114<\/li>\n<\/ul>\n<p><strong>PART 2. LUY\u1ec6N \u0110\u1ec0<\/strong><\/p>\n<p><strong>Chapter 9: 15 \u0111\u1ec1 To\u00e1n \u0111i\u1ec3n 8+<\/strong><\/p>\n<ul>\n<li>T\u1eeb trang 180 \u2013 236<\/li>\n<\/ul>\n<h2>T\u1ea3i Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF<\/h2>\n<p>Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF s\u1ebd gi\u00fap b\u1ea1n n\u1eafm v\u1eefng c\u00e1c chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 12, t\u1eeb h\u00e0m s\u1ed1, logarit, t\u00edch ph\u00e2n \u0111\u1ebfn h\u00ecnh h\u1ecdc kh\u00f4ng gian v\u00e0 x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea. \u0110\u1eebng b\u1ecf l\u1ee1 c\u01a1 h\u1ed9i chinh ph\u1ee5c \u0111i\u1ec3m 8+ m\u00f4n To\u00e1n \u2013 h\u00e3y nh\u1ea5p v\u00e0o link sau \u0111\u1ec3 t\u1ea3i ngay!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/1EGIGXu44NaiCpeOUSIIdNucBK_iqXuVC\/view\" rel=\"noopener nofollow\" target=\"_blank\">T\u1ea3i T\u1ea3i Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF C\u00f4 Ng\u1ecdc Huy\u1ec1n LB<\/a><\/p>\n<p>\u0110\u00e2y l\u00e0 b\u1ea3n PDF \u0111\u00f4i khi s\u1ebd c\u00f3 sai s\u00f3t. N\u1ebfu c\u00f3 \u0111i\u1ec1u ki\u1ec7n, c\u00e1c b\u1ea1n n\u00ean mua b\u1ea3n g\u1ed1c \u0111\u1ec3 c\u00f3 tr\u1ea3i nghi\u1ec7m t\u1ed1t nh\u1ea5t v\u00e0 \u1ee7ng h\u1ed9 t\u00e1c gi\u1ea3 nh\u00e9.<\/p>\n<p>T\u00e0i li\u1ec7u li\u00ean quan:<\/p>\n<ul>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/break-the-limit-kien-thuc-van-dung-cao-toan-12-pdf\/\" rel=\"noopener\" target=\"_blank\">Break The Limit ki\u1ebfn th\u1ee9c v\u1eadn d\u1ee5ng cao To\u00e1n 12 C\u00f4 Ng\u1ecdc huy\u1ec1n LB PDF<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/start-up-kien-thuc-nen-tang-toan-12-pdf\/\" rel=\"noopener\" target=\"_blank\">Start Up ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng to\u00e1n 12 C\u00f4 Ng\u1ecdc huy\u1ec1n LB PDF<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Knock Out t\u1ed5ng \u00f4n &amp; luy\u1ec7n \u0111\u1ec1 To\u00e1n 12 PDF C\u00f4 Ng\u1ecdc Huy\u1ec1n LB l\u00e0 t\u00e0i li\u1ec7u luy\u1ec7n thi chuy\u00ean s\u00e2u \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf d\u00e0nh ri\u00eang cho h\u1ecdc sinh l\u1edbp 12 \u0111ang b\u01b0\u1edbc v\u00e0o giai \u0111o\u1ea1n n\u01b0\u1edbc r\u00fat \u00f4n thi THPT Qu\u1ed1c gia. H\u00e3y c\u00f9ng T\u00e0i Li\u1ec7u \u00d4n Thi kh\u00e1m ph\u00e1 cu\u1ed1n s\u00e1ch n\u00e0y \u0111\u1ec3 [&#8230;]\n","protected":false},"author":1,"featured_media":1637,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[11,10],"class_list":["post-438","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-12","tag-co-ngoc-huyen-lb","tag-toan-12"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/438","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=438"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/438\/revisions"}],"predecessor-version":[{"id":1638,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/438\/revisions\/1638"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1637"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=438"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=438"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}