{"id":382,"date":"2026-05-05T04:42:49","date_gmt":"2026-05-05T04:42:49","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-cuong-on-tap-toan-10-chuyen-gk2-nam-2024-2025-truong-chuyen-bao-loc-lam-dong\/"},"modified":"2026-05-05T07:15:32","modified_gmt":"2026-05-05T07:15:32","slug":"de-cuong-on-tap-toan-10-chuyen-gk2-nam-2024-2025-truong-chuyen-bao-loc-lam-dong","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-cuong-on-tap-toan-10-chuyen-gk2-nam-2024-2025-truong-chuyen-bao-loc-lam-dong\/","title":{"rendered":"\u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng"},"content":{"rendered":"<p><strong>\u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/strong> l\u00e0 t\u00e0i li\u1ec7u t\u1ed5ng h\u1ee3p c\u00e1c chuy\u00ean \u0111\u1ec1 quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 10 chuy\u00ean, bao g\u1ed3m \u0110\u1ea1i s\u1ed1, Gi\u1ea3i t\u00edch, H\u00ecnh h\u1ecdc v\u00e0 c\u00e1c chuy\u00ean \u0111\u1ec1 chuy\u00ean s\u00e2u. T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n k\u1ef9 l\u01b0\u1ee1ng, b\u00e1m s\u00e1t n\u1ed9i dung h\u1ecdc k\u1ef3 2, gi\u00fap h\u1ecdc sinh h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c v\u00e0 r\u00e8n luy\u1ec7n t\u01b0 duy to\u00e1n h\u1ecdc. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi<\/strong><\/a> kh\u00e1m ph\u00e1 ngay c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp tr\u1ecdng t\u00e2m trong b\u00e0i vi\u1ebft sau \u0111\u00e2y!<\/p>\n<h2><strong>N\u1ed9i dung \u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/strong><\/h2>\n<p><strong>\u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/strong> cung c\u1ea5p m\u1ed9t c\u00e1i nh\u00ecn to\u00e0n di\u1ec7n v\u1ec1 c\u00e1c chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m trong ch\u01b0\u01a1ng tr\u00ecnh <a href=\"https:\/\/tailieuonthi.edu.vn\/de-cuong-on-tap-toan-10\/\" rel=\"noopener\" target=\"_blank\">t\u00e0i li\u1ec7u to\u00e1n l\u1edbp 10<\/a>. T\u00e0i li\u1ec7u bao g\u1ed3m c\u00e1c ph\u1ea7n l\u00fd thuy\u1ebft v\u00e0 b\u00e0i t\u1eadp tham kh\u1ea3o gi\u00fap h\u1ecdc sinh \u00f4n t\u1eadp v\u00e0 c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c.<\/p>\n<p><span><strong>A. L\u00dd THUY\u1ebeT<\/strong><\/span><\/p>\n<p data-end=\"211\" data-start=\"165\"><strong data-end=\"211\" data-start=\"170\">I \u2013 \u0110\u1ea0I S\u1ed0 V\u00c0 M\u1ed8T S\u1ed0 Y\u1ebeU T\u1ed0 GI\u1ea2I T\u00cdCH<\/strong><\/p>\n<p data-end=\"246\" data-start=\"215\"><strong data-end=\"244\" data-start=\"215\">D\u1ea5u c\u1ee7a tam th\u1ee9c b\u1eadc hai:<\/strong><\/p>\n<ul>\n<li>\u0110\u1ecbnh ngh\u0129a v\u1ec1 tam th\u1ee9c b\u1eadc hai.<\/li>\n<li>\u0110\u1ecbnh l\u00fd v\u1ec1 d\u1ea5u c\u1ee7a tam th\u1ee9c b\u1eadc hai.<\/li>\n<li>Gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai m\u1ed9t \u1ea9n.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh quy v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai.<\/li>\n<\/ul>\n<p data-end=\"448\" data-start=\"428\"><strong data-end=\"446\" data-start=\"428\">\u0110\u1ea1i s\u1ed1 t\u1ed5 h\u1ee3p:<\/strong><\/p>\n<ul>\n<li>Quy t\u1eafc c\u1ed9ng v\u00e0 quy t\u1eafc nh\u00e2n.<\/li>\n<li>Ho\u00e1n v\u1ecb, ch\u1ec9nh h\u1ee3p v\u00e0 t\u1ed5 h\u1ee3p.<\/li>\n<li>Nh\u1ecb th\u1ee9c Newton.<\/li>\n<\/ul>\n<p data-end=\"592\" data-start=\"551\"><strong data-end=\"590\" data-start=\"551\">D\u00e3y s\u1ed1 \u2013 C\u1ea5p s\u1ed1 c\u1ed9ng \u2013 C\u1ea5p s\u1ed1 nh\u00e2n:<\/strong><\/p>\n<ul>\n<li>D\u00e3y s\u1ed1, t\u00ednh t\u0103ng gi\u1ea3m, b\u1ecb ch\u1eb7n c\u1ee7a d\u00e3y s\u1ed1.<\/li>\n<li>C\u1ea5p s\u1ed1 c\u1ed9ng, c\u1ea5p s\u1ed1 nh\u00e2n.<\/li>\n<\/ul>\n<p data-end=\"712\" data-start=\"678\"><strong data-end=\"712\" data-start=\"683\">II \u2013 H\u00ccNH H\u1eccC V\u00c0 \u0110O L\u01af\u1edcNG<\/strong><\/p>\n<p><strong data-end=\"755\" data-start=\"716\">Ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9 trong m\u1eb7t ph\u1eb3ng:<\/strong><\/p>\n<ul>\n<li>Ba \u0111\u01b0\u1eddng conic trong m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9: elip, hyperbol, parabol.<\/li>\n<li>\u1ee8ng d\u1ee5ng ba \u0111\u01b0\u1eddng conic trong c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf.<\/li>\n<\/ul>\n<p data-end=\"924\" data-start=\"889\"><strong data-end=\"924\" data-start=\"894\">III \u2013 CHUY\u00caN \u0110\u1ec0 CHUY\u00caN S\u00c2U<\/strong><\/p>\n<p><strong data-end=\"940\" data-start=\"928\">\u0110a th\u1ee9c:<\/strong><\/p>\n<ul>\n<li>\u0110\u1ecbnh ngh\u0129a \u0111a th\u1ee9c v\u00e0 c\u00e1c ph\u00e9p to\u00e1n \u0111a th\u1ee9c.<\/li>\n<li>Ph\u00e9p chia \u0111a th\u1ee9c, \u01b0\u1edbc v\u00e0 b\u1ed9i. T\u00ednh ch\u1ea5t c\u1ee7a ph\u00e9p chia h\u1ebft.<\/li>\n<li>Thu\u1eadt to\u00e1n Euclid v\u1ec1 ph\u00e9p chia \u0111a th\u1ee9c.<\/li>\n<li>Hai \u0111a th\u1ee9c nguy\u00ean t\u1ed1 c\u00f9ng nhau.<\/li>\n<li>\u0110\u1ecbnh l\u00fd Bezout, \u0111\u1ecbnh l\u00fd Viet.<\/li>\n<li>C\u00f4ng th\u1ee9c n\u1ed9i suy Lagrange.<\/li>\n<\/ul>\n<p><span><strong>B. B\u00c0I T\u1eacP THAM KH\u1ea2O<\/strong><\/span><\/p>\n<p><strong>B\u00e0i 1:<\/strong> X\u00e9t d\u1ea5u c\u1ee7a c\u00e1c tam th\u1ee9c b\u1eadc hai sau:<\/p>\n<p>a)  f(x) = 2x\u00b2 &#8211; 3x &#8211; 2 .<\/p>\n<p>b)  f(x) = -x\u00b2 + 2x &#8211; 3 .<\/p>\n<p>c)\u00a0  f(x) = 4x\u00b2 + 4x + 1 .<\/p>\n<p><strong>B\u00e0i 2:\u00a0<\/strong>Gi\u1ea3i c\u00e1c b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh sau:<\/p>\n<p>a)  3x\u00b2 + 4x + 7 &gt; 0 .<\/p>\n<p>b)  (1)\/(x\u00b2 &#8211; x + 1) &lt; 1 .<\/p>\n<p>c)  (1)\/(x\u00b2 &#8211; x + 1) \u2264 (1)\/(2x\u00b2 + x + 2) .<\/p>\n<p>d)  x\u2074 &#8211; 2x\u00b2 &#8211; 63 \u2264 0 .<\/p>\n<p>e)  x\u2074 &#8211; 3x\u00b2 + 2 \u2264 0 .<\/p>\n<p>f)  (-3x\u00b2 &#8211; x + 4)\/(x\u00b2 + 3x + 5) &gt; 0 .<\/p>\n<p>(\u2026)<\/p>\n<p><strong>B\u00e0i 45:\u00a0<\/strong>T\u00ecm  a, b  nguy\u00ean sao cho ph\u01b0\u01a1ng tr\u00ecnh \\[<br \/>\nx^4 + ax^3 + bx^2 + ax + 1 = 0<br \/>\n\\] c\u00f3 hai nghi\u1ec7m trong s\u1ed1 c\u00e1c nghi\u1ec7m c\u00f3 t\u00edch b\u1eb1ng  -1 .<\/p>\n<p><strong>B\u00e0i 46:\u00a0<\/strong>X\u00e1c \u0111\u1ecbnh \u0111a th\u1ee9c b\u1eadc hai nh\u1eadn gi\u00e1 tr\u1ecb b\u1eb1ng:<\/p>\n<p>a)  3, 5, -1  t\u1ea1i  x = 1, 2, 7  t\u01b0\u01a1ng \u1ee9ng.<\/p>\n<p>b)  3, 1, 7  t\u1ea1i  x = -1, 0, 3  t\u01b0\u01a1ng \u1ee9ng.<\/p>\n<p><strong>B\u00e0i 47:\u00a0<\/strong>Ch\u1ee9ng minh r\u1eb1ng n\u1ebfu \u0111a th\u1ee9c b\u1eadc hai nh\u1eadn gi\u00e1 tr\u1ecb nguy\u00ean t\u1ea1i 3 gi\u00e1 tr\u1ecb nguy\u00ean li\u00ean ti\u1ebfp c\u1ee7a bi\u1ebfn s\u1ed1  x , th\u00ec \u0111a th\u1ee9c nh\u1eadn gi\u00e1 tr\u1ecb nguy\u00ean t\u1ea1i m\u1ecdi gi\u00e1 tr\u1ecb  x .<\/p>\n<h2><strong>T\u1ea3i \u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/strong><\/h2>\n<p><strong>\u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/strong> bao g\u1ed3m h\u1ec7 th\u1ed1ng l\u00fd thuy\u1ebft, c\u00f4ng th\u1ee9c quan tr\u1ecdng v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng gi\u00fap h\u1ecdc sinh l\u1edbp 10 chuy\u00ean c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u00e0 r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i b\u00e0i t\u1eadp To\u00e1n hi\u1ec7u qu\u1ea3. T\u1ea3i ngay \u0111\u1ec1 c\u01b0\u01a1ng \u0111\u1ec3 chu\u1ea9n b\u1ecb th\u1eadt t\u1ed1t cho k\u1ef3 thi GK2!<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1yb-pKYqJHiloK6JyDD_H83gjR57IFRty\/preview\" width=\"640\"><span class=\"mce_SELRES_start\" data-mce-type=\"bookmark\">\ufeff<\/span><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1yb-pKYqJHiloK6JyDD_H83gjR57IFRty\/view\" rel=\"nofollow noopener\" target=\"_blank\">M\u1edf t\u00e0i li\u1ec7u n\u1ebfu khung xem tr\u01b0\u1edbc kh\u00f4ng hi\u1ec3n th\u1ecb<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/1yb-pKYqJHiloK6JyDD_H83gjR57IFRty\/view\" rel=\"noopener nofollow\" target=\"_blank\">T\u1ea3i \u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp To\u00e1n 10 (chuy\u00ean) GK2 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng chuy\u00ean B\u1ea3o L\u1ed9c L\u00e2m \u0110\u1ed3ng l\u00e0 t\u00e0i li\u1ec7u t\u1ed5ng h\u1ee3p c\u00e1c chuy\u00ean \u0111\u1ec1 quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 10 chuy\u00ean, bao g\u1ed3m \u0110\u1ea1i s\u1ed1, Gi\u1ea3i t\u00edch, H\u00ecnh h\u1ecdc v\u00e0 c\u00e1c chuy\u00ean \u0111\u1ec1 chuy\u00ean s\u00e2u. T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n k\u1ef9 l\u01b0\u1ee1ng, [&#8230;]\n","protected":false},"author":1,"featured_media":1581,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[61],"class_list":["post-382","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tong-hop","tag-tong-hop"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/382","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=382"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/382\/revisions"}],"predecessor-version":[{"id":1582,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/382\/revisions\/1582"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1581"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=382"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=382"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=382"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}