{"id":1120,"date":"2026-05-05T06:17:59","date_gmt":"2026-05-05T06:17:59","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-9\/"},"modified":"2026-05-05T07:59:29","modified_gmt":"2026-05-05T07:59:29","slug":"bo-de-thi-giua-ki-1-toan-9","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-9\/","title":{"rendered":"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9 Ch\u01b0\u01a1ng Tr\u00ecnh M\u1edbi C\u00f3 \u0110\u00e1p \u00c1n"},"content":{"rendered":"<p>B\u1ea1n \u0111ang t\u00ecm ki\u1ebfm \u201cl\u1ed9 tr\u00ecnh v\u00e0ng\u201d \u0111\u1ec3 \u0111\u1ea1t \u0111i\u1ec3m 9+ trong k\u1ef3 thi gi\u1eefa h\u1ecdc k\u1ef3 1 to\u00e1n 9 s\u1eafp t\u1edbi? Nhi\u1ec1u h\u1ecdc sinh th\u01b0\u1eddng m\u1ea5t \u0111i\u1ec3m oan \u1edf c\u00e2u h\u1ecfi th\u1ef1c t\u1ebf v\u00e0 l\u00fang t\u00fang v\u1edbi b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc t\u1ed5ng h\u1ee3p nh\u01b0 h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c vu\u00f4ng hay \u0111\u01b0\u1eddng tr\u00f2n. <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9<\/strong> s\u1ebd l\u00e0 tr\u1ee3 th\u1ee7 \u0111\u1eafc l\u1ef1c gi\u00fap b\u1ea1n v\u01b0\u1ee3t qua th\u1eed th\u00e1ch n\u00e0y. V\u1edbi h\u1ec7 th\u1ed1ng \u0111\u1ec1 thi s\u00e1t th\u1ef1c t\u1ebf v\u00e0 l\u1eddi gi\u1ea3i chi ti\u1ebft, b\u1ea1n s\u1ebd h\u1ec7 th\u1ed1ng h\u00f3a to\u00e0n b\u1ed9 ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m v\u00e0 t\u1ef1 tin l\u00e0m ch\u1ee7 m\u1ecdi d\u1ea1ng b\u00e0i. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>T\u00e0i Li\u1ec7u \u00d4n Thi<\/strong><\/a> kh\u00e1m ph\u00e1 nh\u1eefng \u0111i\u1ec3m n\u1ed5i b\u1eadt c\u1ee7a b\u1ed9 \u0111\u1ec1 thi \u0111\u1eb7c bi\u1ec7t n\u00e0y!<\/p>\n<h2><strong>V\u00ec sao n\u00ean ch\u1ecdn B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9?<\/strong><\/h2>\n<p>\u0110\u00e2y l\u00e0 l\u00fd do <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9<\/strong> \u0111\u01b0\u1ee3c nhi\u1ec1u th\u1ea7y c\u00f4 v\u00e0 h\u1ecdc sinh tin d\u00f9ng:<\/p>\n<ul>\n<li>B\u00e1m s\u00e1t c\u1ea5u tr\u00fac \u0111\u1ec1 ki\u1ec3m tra chu\u1ea9n theo ma tr\u1eadn 3-2-2-3 (3 \u0111i\u1ec3m tr\u1eafc nghi\u1ec7m ch\u1ecdn \u0111\u00e1p \u00e1n, 2 \u0111i\u1ec3m tr\u1eafc nghi\u1ec7m \u0111\u00fang sai, 2 \u0111i\u1ec3m tr\u1ea3 l\u1eddi ng\u1eafn, 3 \u0111i\u1ec3m t\u1ef1 lu\u1eadn).<\/li>\n<li>Ph\u00f9 h\u1ee3p v\u1edbi c\u1ea3 ba b\u1ed9 s\u00e1ch gi\u00e1o khoa hi\u1ec7n h\u00e0nh, gi\u00fap h\u1ecdc sinh n\u00e0o c\u0169ng c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng hi\u1ec7u qu\u1ea3.<\/li>\n<li>Ph\u00e2n lo\u1ea1i r\u00f5 r\u00e0ng theo m\u1ee9c \u0111\u1ed9: Nh\u1eadn bi\u1ebft \u2013 Th\u00f4ng hi\u1ec3u \u2013 V\u1eadn d\u1ee5ng \u2013 V\u1eadn d\u1ee5ng cao.<\/li>\n<li>C\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft t\u1eebng c\u00e2u, gi\u00fap h\u1ecdc sinh hi\u1ec3u c\u00e1ch t\u01b0 duy v\u00e0 tr\u00e1nh h\u1ecdc v\u1eb9t.<\/li>\n<li>Bao ph\u1ee7 to\u00e0n b\u1ed9 chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m gi\u1eefa k\u1ef3: ph\u01b0\u01a1ng tr\u00ecnh \u2013 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u2013 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh \u2013 h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c vu\u00f4ng.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9<\/strong><\/h2>\n<p>B\u1ed9 t\u00e0i li\u1ec7u n\u00e0y \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp khoa h\u1ecdc, gi\u00fap h\u1ecdc sinh luy\u1ec7n t\u1eadp t\u1eebng d\u1ea1ng b\u00e0i t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p>C\u00e1c \u0111\u1ec1 thi trong b\u1ed9 <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-9\/toan-9\/\" rel=\"noopener\" target=\"_blank\"><strong>t\u00e0i li\u1ec7u to\u00e1n 9<\/strong><\/a> \u0111\u01b0\u1ee3c ph\u00e2n b\u1ed5 khoa h\u1ecdc, bao qu\u00e1t c\u00e1c ph\u1ea7n ki\u1ebfn th\u1ee9c \u201c\u0111inh\u201d th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong \u0111\u1ec1 thi Gi\u1eefa K\u00ec 1:<\/p>\n<p><strong>1. \u0110\u1ea1i s\u1ed1:<\/strong><\/p>\n<ul>\n<li><strong>Bi\u1ec3u th\u1ee9c ch\u1ee9a c\u0103n:<\/strong> C\u00e1c b\u00e0i t\u1eadp v\u1ec1 t\u00ecm \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh, r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c, v\u00e0 c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t\/nh\u1ecf nh\u1ea5t.<\/li>\n<li><strong>H\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t:<\/strong> Nh\u1eadn d\u1ea1ng, x\u00e1c \u0111\u1ecbnh h\u1ec7 s\u1ed1 $a, b$, v\u00e0 c\u00e1c b\u00e0i to\u00e1n v\u1ec1 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1.<\/li>\n<\/ul>\n<p><strong>2. H\u00ecnh h\u1ecdc:<\/strong><\/p>\n<ul>\n<li><strong>H\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c vu\u00f4ng:<\/strong> T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh, \u0111\u01b0\u1eddng cao, v\u00e0 s\u1ed1 \u0111o g\u00f3c.<\/li>\n<li><strong>\u0110\u01b0\u1eddng tr\u00f2n:<\/strong> C\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn t\u00ednh ch\u1ea5t ti\u1ebfp tuy\u1ebfn, d\u00e2y cung, v\u00e0 c\u00e1c m\u1ed1i quan h\u1ec7 h\u00ecnh h\u1ecdc ph\u1ee9c t\u1ea1p.<\/li>\n<\/ul>\n<p>M\u1ed7i \u0111\u1ec1 \u0111\u1ec1u c\u00f3 s\u1ef1 ph\u00e2n lo\u1ea1i r\u00f5 r\u00e0ng theo c\u00e1c m\u1ee9c \u0111\u1ed9: Nh\u1eadn bi\u1ebft (l\u00fd thuy\u1ebft, c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n), th\u00f4ng hi\u1ec3u (\u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp), v\u1eadn d\u1ee5ng (b\u00e0i to\u00e1n th\u1ef1c t\u1ebf, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1) v\u00e0 v\u1eadn d\u1ee5ng cao (c\u00e1c c\u00e2u h\u1ecfi t\u1ed5ng h\u1ee3p, ph\u00e2n lo\u1ea1i h\u1ecdc sinh).<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>M\u1ed7i \u0111\u1ec1 thi \u0111\u1ec1u c\u00f3 \u0111\u00e1p \u00e1n \u0111\u1ea7y \u0111\u1ee7 v\u1edbi l\u1eddi gi\u1ea3i chi ti\u1ebft t\u1eebng b\u01b0\u1edbc, ph\u00e2n t\u00edch c\u00e1ch l\u00e0m v\u00e0 ch\u1ec9 ra nh\u1eefng l\u1ed7i hay m\u1eafc ph\u1ea3i.<\/p>\n<ul>\n<li><strong>C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m:<\/strong> gi\u1ea3i th\u00edch r\u00f5 t\u1ea1i sao ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0 lo\u1ea1i b\u1ecf c\u00e1c ph\u01b0\u01a1ng \u00e1n sai.<\/li>\n<li><strong>C\u00e2u h\u1ecfi t\u1ef1 lu\u1eadn:<\/strong> tr\u00ecnh b\u00e0y r\u00f5 r\u00e0ng t\u1eebng b\u01b0\u1edbc bi\u1ebfn \u0111\u1ed5i, k\u00e8m \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh v\u00e0 k\u1ebft lu\u1eadn cu\u1ed1i c\u00f9ng.<\/li>\n<li><strong>B\u00e0i to\u00e1n th\u1ef1c t\u1ebf:<\/strong> h\u01b0\u1edbng d\u1eabn c\u00e1ch l\u1eadp ph\u01b0\u01a1ng tr\u00ecnh\/h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u1eeb d\u1eef li\u1ec7u \u0111\u1ec1 b\u00e0i, gi\u00fap b\u1ea1n hi\u1ec3u c\u00e1ch chuy\u1ec3n \u0111\u1ed5i ng\u00f4n ng\u1eef \u0111\u1eddi s\u1ed1ng sang ng\u00f4n ng\u1eef to\u00e1n h\u1ecdc.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6220\" decoding=\"async\" height=\"1132\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-3.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-3.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-3-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-3-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-3-768x1087.jpg 768w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6221\" decoding=\"async\" height=\"1132\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-2.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-2-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-2-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-2-768x1087.jpg 768w\" width=\"800\"\/> <img alt=\"\" class=\"aligncenter size-full wp-image-6222\" decoding=\"async\" height=\"1132\" loading=\"lazy\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-1.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-1-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-1-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-giua-ki-1-toan-9-1-768x1087.jpg 768w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 9<\/strong><\/h2>\n<p>\u0110\u1ec3 ch\u1ee7 \u0111\u1ed9ng l\u00e0m ch\u1ee7 k\u1ef3 thi, lo\u1ea1i b\u1ecf n\u1ed7i lo m\u1ea5t \u0111i\u1ec3m \u1edf nh\u1eefng c\u00e2u h\u1ecfi \u201c\u0103n \u0111i\u1ec3m\u201d v\u00e0 t\u1ef1 tin chinh ph\u1ee5c m\u1ee5c ti\u00eau \u0111i\u1ec3m cao 9, 10, b\u1ea1n h\u00e3y t\u1ea3i ngay b\u1ed9 t\u00e0i li\u1ec7u \u0111\u1eb7c bi\u1ec7t n\u00e0y v\u1ec1 m\u00e1y v\u00e0 b\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh \u00f4n luy\u1ec7n m\u1ed9t c\u00e1ch khoa h\u1ecdc ngay h\u00f4m nay!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/114xC2bMSKjq4zHkBAtDN9etKkF4T5we7\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 \u00d4n T\u1eadp Ki\u1ec3m Tra Gi\u1eefa K\u00ec 1 To\u00e1n 9 n\u0103m 2026 (D\u00f9ng Chung 3 S\u00e1ch)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n \u0111ang t\u00ecm ki\u1ebfm \u201cl\u1ed9 tr\u00ecnh v\u00e0ng\u201d \u0111\u1ec3 \u0111\u1ea1t \u0111i\u1ec3m 9+ trong k\u1ef3 thi gi\u1eefa h\u1ecdc k\u1ef3 1 to\u00e1n 9 s\u1eafp t\u1edbi? Nhi\u1ec1u h\u1ecdc sinh th\u01b0\u1eddng m\u1ea5t \u0111i\u1ec3m oan \u1edf c\u00e2u h\u1ecfi th\u1ef1c t\u1ebf v\u00e0 l\u00fang t\u00fang v\u1edbi b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc t\u1ed5ng h\u1ee3p nh\u01b0 h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c vu\u00f4ng hay \u0111\u01b0\u1eddng tr\u00f2n. [&#8230;]\n","protected":false},"author":1,"featured_media":2318,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[113],"tags":[114],"class_list":["post-1120","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-9","tag-toan-9"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1120","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=1120"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1120\/revisions"}],"predecessor-version":[{"id":2319,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1120\/revisions\/2319"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2318"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=1120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=1120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=1120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}