{"id":1056,"date":"2026-05-05T06:14:38","date_gmt":"2026-05-05T06:14:38","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan\/"},"modified":"2026-05-05T07:55:52","modified_gmt":"2026-05-05T07:55:52","slug":"bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan\/","title":{"rendered":"B\u1ed9 \u0111\u1ec1 thi th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n C\u00f3 \u0110\u00e1p \u00c1n"},"content":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang loay hoay t\u00ecm ki\u1ebfm m\u1ed9t b\u1ed9 \u0111\u1ec1 thi th\u1eed ch\u1ea5t l\u01b0\u1ee3ng \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c s\u01b0 ph\u1ea1m (SPT) m\u00f4n To\u00e1n? Nhi\u1ec1u b\u1ea1n h\u1ecdc sinh th\u01b0\u1eddng g\u1eb7p kh\u00f3 kh\u0103n khi ph\u1ea3i gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn H\u00ecnh h\u1ecdc kh\u00f4ng gian hay c\u00e1c c\u00e2u h\u1ecfi x\u00e1c su\u1ea5t \u2013 th\u1ed1ng k\u00ea mang t\u00ednh th\u1ef1c t\u1ebf. \u0110\u00e2y l\u00e0 nh\u1eefng ph\u1ea7n ki\u1ebfn th\u1ee9c quan tr\u1ecdng, quy\u1ebft \u0111\u1ecbnh m\u1ee5c ti\u00eau 8-9 \u0111i\u1ec3m nh\u01b0ng l\u1ea1i \u0111\u00f2i h\u1ecfi t\u1ed1c \u0111\u1ed9 x\u1eed l\u00fd v\u00e0 s\u1ef1 linh ho\u1ea1t cao. <strong>B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n<\/strong> ch\u00ednh l\u00e0 gi\u1ea3i ph\u00e1p to\u00e0n di\u1ec7n gi\u00fap b\u1ea1n h\u1ec7 th\u1ed1ng l\u1ea1i ki\u1ebfn th\u1ee9c, r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng l\u00e0m b\u00e0i nhanh v\u00e0 t\u1ef1 tin b\u01b0\u1edbc v\u00e0o k\u1ef3 thi. 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 xem b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y c\u00f3 g\u00ec \u0111\u1eb7c bi\u1ec7t nh\u00e9!<\/p>\n<h2><strong>T\u1ea1i sao n\u00ean s\u1edf h\u1eefu B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n?<\/strong><\/h2>\n<p>B\u1ed9 \u0111\u1ec1 thi n\u00e0y l\u00e0 c\u00f4ng c\u1ee5 luy\u1ec7n t\u1eadp chuy\u00ean s\u00e2u, m\u00f4 ph\u1ecfng s\u00e1t nh\u1ea5t v\u1edbi k\u1ef3 thi th\u1ef1c t\u1ebf, mang \u0111\u1ebfn nhi\u1ec1u l\u1ee3i \u00edch v\u01b0\u1ee3t tr\u1ed9i:<\/p>\n<ul>\n<li><strong>\u0110\u1ec1 thi b\u00e1m s\u00e1t ma tr\u1eadn SPT:<\/strong> N\u1ed9i dung \u0111\u1ec1 \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng theo \u0111\u00fang c\u1ea5u tr\u00fac, t\u1ef7 l\u1ec7 c\u00e2u h\u1ecfi, v\u00e0 \u0111\u1ed9 kh\u00f3 c\u1ee7a \u0111\u1ec1 thi ch\u00ednh th\u1ee9c. Ki\u1ebfn th\u1ee9c bao ph\u1ee7 t\u1eeb l\u1edbp 11 \u0111\u1ebfn l\u1edbp 12, gi\u00fap b\u1ea1n \u00f4n t\u1eadp c\u00f3 tr\u1ecdng t\u00e2m.<\/li>\n<li><strong>Luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i nhanh:<\/strong> V\u1edbi gi\u1edbi h\u1ea1n th\u1eddi gian 90 ph\u00fat, b\u1ea1n bu\u1ed9c ph\u1ea3i t\u1eadp trung v\u00e0 t\u00ecm ra con \u0111\u01b0\u1eddng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 hi\u1ec7u qu\u1ea3 nh\u1ea5t, gi\u00fap v\u01b0\u1ee3t qua \u00e1p l\u1ef1c ph\u00f2ng thi.<\/li>\n<li><strong>M\u1edf r\u1ed9ng t\u01b0 duy gi\u1ea3i to\u00e1n:<\/strong> Ph\u1ea7n l\u1eddi gi\u1ea3i cung c\u1ea5p nhi\u1ec1u c\u00e1ch ti\u1ebfp c\u1eadn kh\u00e1c nhau cho c\u00e1c b\u00e0i to\u00e1n kh\u00f3 (v\u00ed d\u1ee5: d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p h\u00ecnh h\u1ecdc v\u00e0 ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9). B\u1ea1n s\u1ebd h\u1ecdc \u0111\u01b0\u1ee3c c\u00e1ch nh\u00ecn nh\u1eadn v\u1ea5n \u0111\u1ec1 \u0111a chi\u1ec1u v\u00e0 ch\u1ecdn \u0111\u01b0\u1ee3c ph\u01b0\u01a1ng ph\u00e1p t\u1ed1i \u01b0u.<\/li>\n<li><strong>T\u1eadp trung v\u00e0o c\u00e2u h\u1ecfi \u201c\u0103n \u0111i\u1ec3m\u201d:<\/strong> T\u00e0i li\u1ec7u ch\u00fa tr\u1ecdng v\u00e0o c\u00e1c chuy\u00ean \u0111\u1ec1 ph\u00e2n lo\u1ea1i cao nh\u01b0 h\u00e0m s\u1ed1, t\u00edch ph\u00e2n, v\u00e0 h\u00ecnh h\u1ecdc kh\u00f4ng gian, gi\u00fap b\u1ea1n c\u1ee7ng c\u1ed1 ch\u1eafc ch\u1eafn nh\u1eefng \u0111i\u1ec3m s\u1ed1 quan tr\u1ecdng.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n<\/strong><\/h2>\n<p>B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng theo h\u01b0\u1edbng ti\u1ebfp c\u1eadn n\u0103ng l\u1ef1c, gi\u00fap h\u1ecdc sinh ghi nh\u1edb, hi\u1ec3u s\u00e2u v\u00e0 v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u00e0o b\u00e0i to\u00e1n th\u1ef1c t\u1ebf.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p>Ph\u1ea7n \u0111\u1ec1 bao g\u1ed3m nhi\u1ec1u d\u1ea1ng b\u00e0i t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao, bao ph\u1ee7 c\u00e1c chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m c\u1ee7a l\u1edbp 12 nh\u01b0:<\/p>\n<ul>\n<li>H\u00e0m s\u1ed1 &amp; \u0111\u1ed3 th\u1ecb<\/li>\n<li>Kh\u1ed1i \u0111a di\u1ec7n<\/li>\n<li>L\u0169y th\u1eeba \u2013 Logarit<\/li>\n<li>T\u00edch ph\u00e2n<\/li>\n<li>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea<\/li>\n<li>H\u00ecnh h\u1ecdc kh\u00f4ng gian Oxyz<\/li>\n<\/ul>\n<p>B\u00e0i t\u1eadp \u0111\u01b0\u1ee3c ph\u00e2n b\u1ed5 theo m\u1ee9c \u0111\u1ed9 t\u0103ng d\u1ea7n, t\u1eeb c\u00e2u nh\u1eadn bi\u1ebft l\u00fd thuy\u1ebft cho t\u1edbi d\u1ea1ng t\u1ed5ng h\u1ee3p y\u00eau c\u1ea7u ph\u00e2n t\u00edch v\u00e0 x\u1eed l\u00fd nhanh. C\u1ea5u tr\u00fac n\u00e0y gi\u00fap h\u1ecdc sinh t\u1ef1 ki\u1ec3m tra n\u0103ng l\u1ef1c sau m\u1ed7i \u0111\u1ec1 v\u00e0 x\u00e1c \u0111\u1ecbnh ch\u00ednh x\u00e1c \u0111i\u1ec3m y\u1ebfu c\u1ee7a m\u00ecnh.<\/p>\n<p>M\u1ed7i \u0111\u1ec1 \u0111\u1ec1u \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo ma tr\u1eadn 4 m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c:<\/p>\n<ul>\n<li><strong>Nh\u1eadn bi\u1ebft:<\/strong> C\u00e2u h\u1ecfi l\u00fd thuy\u1ebft, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n.<\/li>\n<li><strong>Th\u00f4ng hi\u1ec3u:<\/strong> Y\u00eau c\u1ea7u gi\u1ea3i th\u00edch, bi\u1ebfn \u0111\u1ed5i, nh\u1eadn d\u1ea1ng d\u1ea1ng to\u00e1n.<\/li>\n<li><strong>V\u1eadn d\u1ee5ng:<\/strong> \u00c1p d\u1ee5ng ki\u1ebfn th\u1ee9c v\u00e0o t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3, b\u00e0i to\u00e1n th\u1ef1c t\u1ebf.<\/li>\n<li><strong>V\u1eadn d\u1ee5ng cao:<\/strong> D\u1ea1ng b\u00e0i t\u1ed5ng h\u1ee3p, y\u00eau c\u1ea7u t\u01b0 duy logic, k\u1ebft h\u1ee3p nhi\u1ec1u ki\u1ebfn th\u1ee9c.<\/li>\n<\/ul>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>\u0110\u00e1p \u00e1n l\u00e0 ph\u1ea7n quan tr\u1ecdng \u0111\u1ec3 b\u1ea1n t\u1ef1 \u0111\u00e1nh gi\u00e1 v\u00e0 s\u1eeda l\u1ed7i. B\u1ed9 t\u00e0i li\u1ec7u n\u00e0y cung c\u1ea5p l\u1eddi gi\u1ea3i chi ti\u1ebft, gi\u1ea3i th\u00edch r\u00f5 r\u00e0ng t\u1eebng b\u01b0\u1edbc, gi\u00fap b\u1ea1n hi\u1ec3u \u0111\u01b0\u1ee3c c\u00e1ch t\u01b0 duy v\u00e0 l\u00fd do ch\u1ecdn ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i \u0111\u00f3.<\/p>\n<p>\u0110\u1eb7c bi\u1ec7t, \u1edf m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p (nh\u01b0 t\u00ecm kho\u1ea3ng c\u00e1ch, g\u00f3c), \u0111\u00e1p \u00e1n c\u00f2n tr\u00ecnh b\u00e0y nhi\u1ec1u c\u00e1ch gi\u1ea3i kh\u00e1c nhau. \u0110i\u1ec1u n\u00e0y gi\u00fap b\u1ea1n m\u1edf r\u1ed9ng ki\u1ebfn th\u1ee9c, tr\u00e1nh t\u00ecnh tr\u1ea1ng ch\u1ec9 l\u00e0m theo m\u1ed9t khu\u00f4n m\u1eabu.<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6000\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-3.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-3.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-3-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-3-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-3-768x1086.jpg 768w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6001\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-2.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-2-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-2-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-2-768x1086.jpg 768w\" width=\"800\"\/> <img alt=\"\" class=\"aligncenter size-full wp-image-6002\" decoding=\"async\" height=\"1131\" loading=\"lazy\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-1.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-1-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-1-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-thu-danh-gia-nang-luc-spt-mon-toan-1-768x1086.jpg 768w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT M\u00f4n To\u00e1n<\/strong> ch\u00ednh l\u00e0 h\u00e0nh trang c\u1ea7n thi\u1ebft \u0111\u1ec3 b\u1ea1n luy\u1ec7n t\u1eadp v\u00e0 l\u00e0m quen v\u1edbi \u00e1p l\u1ef1c thi c\u1eed. \u0110\u00e2y l\u00e0 t\u00e0i li\u1ec7u ki\u1ec3m tra ch\u1ea5t l\u01b0\u1ee3ng sau khi \u0111\u00e3 \u00f4n t\u1eadp l\u00fd thuy\u1ebft. H\u00e3y t\u1ea3i ngay b\u1ed9 t\u00e0i li\u1ec7u ph\u00f9 h\u1ee3p v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc c\u1ee7a m\u00ecnh \u0111\u1ec3 b\u1eaft \u0111\u1ea7u r\u00e8n luy\u1ec7n ngay h\u00f4m nay v\u00e0 ti\u1ebfn g\u1ea7n h\u01a1n \u0111\u1ebfn m\u1ee5c ti\u00eau \u0111i\u1ec3m s\u1ed1 cao nh\u00e9:<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1BKES6BAWVqI5-zluYaDuUTIHHI5nBLXH\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Th\u1eed \u0110\u00e1nh Gi\u00e1 N\u0103ng L\u1ef1c SPT n\u0103m 2025 M\u00f4n To\u00e1n C\u00f3 \u0110\u00e1p \u00c1n<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang loay hoay t\u00ecm ki\u1ebfm m\u1ed9t b\u1ed9 \u0111\u1ec1 thi th\u1eed ch\u1ea5t l\u01b0\u1ee3ng \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c s\u01b0 ph\u1ea1m (SPT) m\u00f4n To\u00e1n? Nhi\u1ec1u b\u1ea1n h\u1ecdc sinh th\u01b0\u1eddng g\u1eb7p kh\u00f3 kh\u0103n khi ph\u1ea3i gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn H\u00ecnh h\u1ecdc kh\u00f4ng gian hay c\u00e1c c\u00e2u h\u1ecfi [&#8230;]\n","protected":false},"author":1,"featured_media":2254,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[72],"tags":[73],"class_list":["post-1056","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dgnl-su-pham-ha-noi","tag-dgnl-sp"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1056","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=1056"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1056\/revisions"}],"predecessor-version":[{"id":2255,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1056\/revisions\/2255"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2254"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=1056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=1056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=1056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}