{"id":27697,"date":"2025-06-10T01:07:11","date_gmt":"2025-06-09T18:07:11","guid":{"rendered":"https:\/\/quanghung.name.vn\/thoi-su\/de-toan-thi-lop-10-ha-noi-gan-voi-thuc-te-thi-sinh-de-dat-diem-7-tro-len\/"},"modified":"2025-06-10T01:07:11","modified_gmt":"2025-06-09T18:07:11","slug":"de-toan-thi-lop-10-ha-noi-gan-voi-thuc-te-thi-sinh-de-dat-diem-7-tro-len","status":"publish","type":"post","link":"https:\/\/quanghung.name.vn\/?p=27697","title":{"rendered":"\u0110\u1ec1 To\u00e1n thi l\u1edbp 10 H\u00e0 N\u1ed9i g\u1eafn v\u1edbi th\u1ef1c t\u1ebf, th\u00ed sinh d\u1ec5 \u0111\u1ea1t \u0111i\u1ec3m 7 tr\u1edf l\u00ean"},"content":{"rendered":"<div class=\"maincontent main-content\" id=\"maincontent\">\n<div class=\"ck-cms-insert-neww-group vnn-template-noneditable articles-edit\" id=\"vnn-editor-1749353791057\" data-temp=\"template20\">\n<article class=\"ck-cms-insert-news\" data-vnnembed=\"true\" data-vnnembedtype=\"article\" data-vnnembedid=\"2408183\"><picture><img data-original=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/dap-an-mon-toan-thi-vao-lop-10-tai-ha-noi-nam-2025-27145.jpg?width=0&#038;s=aOVna25Z6rsv_tRs85jtgA\" class=\"lazy \" srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/dap-an-mon-toan-thi-vao-lop-10-tai-ha-noi-nam-2025-27145.jpg?width=260&#038;s=wQ-z7uoMdB_Nv1W9bh7e9Q\" alt=\"\u0110\u00e1p \u00e1n m\u00f4n To\u00e1n thi v\u00e0o l\u1edbp 10 t\u1ea1i H\u00e0 N\u1ed9i n\u0103m 2025\"><\/picture>\n<div class=\"insert-wiki-content\">\n<div class=\"insert-wiki-title\">\u0110\u00e1p \u00e1n m\u00f4n To\u00e1n thi v\u00e0o l\u1edbp 10 t\u1ea1i H\u00e0 N\u1ed9i n\u0103m 2025<\/div>\n<div class=\"insert-wiki-description\">S\u00e1ng 8\/6, g\u1ea7n 116.000 l\u01b0\u1ee3t th\u00ed sinh H\u00e0 N\u1ed9i \u0111\u00e3 ho\u00e0n th\u00e0nh b\u00e0i thi m\u00f4n To\u00e1n k\u00e9o d\u00e0i 120 ph\u00fat. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0111\u00e1p \u00e1n tham kh\u1ea3o m\u00f4n To\u00e1n thi tuy\u1ec3n sinh v\u00e0o l\u1edbp 10 t\u1ea1i H\u00e0 N\u1ed9i n\u0103m 2025.<\/div>\n<\/div>\n<\/article>\n<\/div>\n<p>Nh\u1eadn x\u00e9t \u0111\u1ec1 thi m\u00f4n To\u00e1n l\u1edbp 10 H\u00e0 N\u1ed9i n\u0103m 2025, chia s\u1ebb v\u1edbi <em>VietNamNet<\/em>, <strong>c\u00f4 \u0110inh Th\u1ecb H\u1ed3ng Hu\u1ebf, T\u1ed5 tr\u01b0\u1edfng T\u1ed5 T\u1ef1 nhi\u00ean c\u1ee7a Tr\u01b0\u1eddng THCS T\u00f4 V\u0129nh Di\u1ec7n<\/strong> (qu\u1eadn \u0110\u1ed1ng \u0110a, H\u00e0 N\u1ed9i) \u0111\u00e1nh gi\u00e1, \u0111\u1ec1 n\u0103m nay \u0111\u1ea3m b\u1ea3o t\u00ednh v\u1eeba s\u1ee9c \u0111\u1ed1i v\u1edbi h\u1ecdc sinh, n\u1ed9i dung r\u00f5 r\u00e0ng b\u00e1m s\u00e1t m\u1ee5c ti\u00eau, y\u00eau c\u1ea7u c\u1ee7a Ch\u01b0\u01a1ng tr\u00ecnh ph\u1ed5 th\u00f4ng 2018.<\/p>\n<p>\u201c\u0110\u1ec1 thi c\u00f3 s\u1ef1 ph\u00e2n h\u00f3a r\u00f5 r\u1ec7t, ph\u00f9 h\u1ee3p v\u1edbi m\u1ee5c ti\u00eau \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c h\u1ecdc sinh. C\u00e1c c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3, gi\u00fap h\u1ecdc sinh c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111i\u1ec3m cao n\u1ebfu n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 c\u00f3 kh\u1ea3 n\u0103ng t\u01b0 duy logic. V\u1edbi \u0111\u1ec1 n\u00e0y, nh\u1eefng h\u1ecdc sinh c\u00f3 t\u01b0 duy t\u1ed1t s\u1ebd ph\u00e1t huy \u0111\u01b0\u1ee3c n\u0103ng l\u1ef1c. \u0110\u1ec1 thi ch\u00fa tr\u1ecdng v\u00e0o c\u00e1c b\u00e0i to\u00e1n g\u1eafn li\u1ec1n v\u1edbi th\u1ef1c t\u1ebf, y\u00eau c\u1ea7u h\u1ecdc sinh ph\u1ea3i bi\u1ebft v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u00e0o c\u00e1c t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3. C\u00e1c c\u00e2u h\u1ecfi kh\u00f4ng ch\u1ec9 ki\u1ec3m tra kh\u1ea3 n\u0103ng t\u00ednh to\u00e1n m\u00e0 c\u00f2n \u0111\u00e1nh gi\u00e1 kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong cu\u1ed9c s\u1ed1ng\u201d, c\u00f4 Hu\u1ebf nh\u1eadn x\u00e9t.<\/p>\n<figure class=\"image vnn-content-image\" data-vnnembed=\"true\" data-vnnembedtype=\"image\" data-vnnembedid=\"00CYH7\"><picture><!--[if IE 9]><video style=\"display: none;\"><![endif]--><source data-srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan-45783.jpg?width=0&#038;s=5dMtfr88FZ7nV6MppvPUdQ\" media=\"--large\"><!--[if IE 9]><\/video><![endif]--><img data-original=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan-45783.jpg?width=0&#038;s=5dMtfr88FZ7nV6MppvPUdQ\" class=\"lazy \" srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan-45783.jpg?width=0&#038;s=5dMtfr88FZ7nV6MppvPUdQ\" alt=\"W-Thi To\u00e1n.jpg\" data-thumb-small-src=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan-45783.jpg?width=260&#038;s=GBRDphYvw4OluuCg1Eg2Kg\"><\/source><\/picture><figcaption>Nhi\u1ec1u th\u00ed sinh \u0111\u00e1nh gi\u00e1 \u0111\u1ec1 To\u00e1n v\u1eeba s\u1ee9c, t\u1ef1 tin s\u1ebd \u0111\u1ea1t \u0111i\u1ec3m cao. \u1ea2nh: <em>Th\u1ebf B\u1eb1ng<\/em><\/figcaption><\/figure>\n<p>Theo c\u00f4 Hu\u1ebf, \u0111\u1ec1 thi g\u1ed3m 5 b\u00e0i v\u1edbi \u0111\u1ea7y \u0111\u1ee7 c\u00e1c m\u1ea1ch ki\u1ebfn th\u1ee9c s\u1ed1 h\u1ecdc, \u0111\u1ea1i s\u1ed1, h\u00ecnh h\u1ecdc, th\u1ed1ng k\u00ea, x\u00e1c su\u1ea5t v\u00e0 \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf theo \u0111\u00fang c\u1ea5u tr\u00fac \u0111\u1ec1 minh h\u1ecda m\u00e0 S\u1edf GD-\u0110T \u0111\u00e3 c\u00f4ng b\u1ed1 n\u00ean ch\u1eafc ch\u1eafn h\u1ecdc sinh n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n s\u1ebd l\u00e0m \u0111\u01b0\u1ee3c b\u00e0i. H\u1ecdc sinh trung b\u00ecnh c\u00f3 th\u1ec3 \u0111\u1ea1t m\u1ee9c \u0111i\u1ec3m t\u1eeb 6,5-7,0 tr\u1edf l\u00ean.<\/p>\n<p>\u0110\u1ec1 thi gi\u1eef \u0111\u01b0\u1ee3c 60-70% c\u1ea5u tr\u00fac truy\u1ec1n th\u1ed1ng nh\u01b0ng c\u00f3 s\u1ef1 \u0111\u1ed5i m\u1edbi v\u1ec1 n\u1ed9i dung v\u00e0 c\u00e1ch th\u1ee9c ra \u0111\u1ec1, gi\u00fap \u0111\u00e1nh gi\u00e1 h\u1ecdc sinh m\u1ed9t c\u00e1ch to\u00e0n di\u1ec7n h\u01a1n. \u0110\u1ed9 kh\u00f3 c\u1ee7a \u0111\u1ec1 thi \u1edf m\u1ee9c v\u1eeba ph\u1ea3i, c\u00f3 s\u1ef1 ph\u00e2n h\u00f3a r\u00f5 r\u00e0ng.<\/p>\n<p>V\u1edbi m\u1ea1ch ki\u1ebfn th\u1ee9c th\u1ed1ng k\u00ea v\u00e0 x\u00e1c su\u1ea5t, \u0111\u00e2y l\u00e0 m\u1ea1ch ki\u1ebfn th\u1ee9c m\u1edbi trong ch\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1ee3c \u0111\u01b0a v\u00e0o b\u00e0i 1. C\u00e1c ki\u1ebfn th\u1ee9c \u0111\u01b0\u1ee3c ki\u1ec3m tra trong b\u00e0i to\u00e1n n\u00e0y kh\u00f4ng g\u00e2y kh\u00f3 kh\u0103n v\u00e0 \u0111\u00e1nh \u0111\u1ed1 h\u1ecdc sinh.\u00a0<\/p>\n<p>M\u1ea1ch ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc v\u00e0 \u0111o l\u01b0\u1eddng, ki\u1ec3m tra ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh h\u1ecdc ph\u1eb3ng v\u00e0 h\u00ecnh kh\u1ed1i trong th\u1ef1c ti\u1ec5n. \u00dd c c\u00e2u 2 (b\u00e0i IV) v\u1eabn l\u00e0 m\u1ed9t c\u00e2u h\u1ecfi kh\u00f3 d\u00f9ng \u0111\u1ec3 ph\u00e2n lo\u1ea1i h\u1ecdc sinh. C\u00e1c d\u1ea1ng b\u00e0i v\u1ec1 h\u00ecnh kh\u1ed1i trong th\u1ef1c ti\u1ec5n \u0111\u01b0\u1ee3c m\u1edf r\u1ed9ng v\u00e0 \u0111i s\u00e2u h\u01a1n.<\/p>\n<p><strong>C\u00f4 Nguy\u1ec5n Th\u1ecb Oanh, kh\u1ed1i tr\u01b0\u1edfng m\u00f4n To\u00e1n kh\u1ed1i THCS c\u1ee7a Tr\u01b0\u1eddng THCS &#8211; THPT Phenikaa <\/strong>\u0111\u00e1nh gi\u00e1 \u0111\u1ec1 To\u00e1n b\u00e1m s\u00e1t c\u1ea5u tr\u00fac \u0111\u1ecbnh d\u1ea1ng v\u00e0 \u0111\u1ec1 minh h\u1ecda do S\u1edf GD-\u0110T c\u00f4ng b\u1ed1. \u0110\u1ec1 v\u1eabn c\u00f3 s\u1ef1 ph\u00e2n h\u00f3a \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o y\u00eau c\u1ea7u, t\u00ednh ch\u1ea5t c\u1ee7a m\u1ed9t \u0111\u1ec1 thi tuy\u1ec3n sinh v\u00e0o l\u1edbp 10 THPT.<\/p>\n<figure class=\"image vnn-content-image\" data-vnnembed=\"true\" data-vnnembedtype=\"image\" data-vnnembedid=\"00CYH5\"><picture><!--[if IE 9]><video style=\"display: none;\"><![endif]--><source data-srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan2-45784.jpg?width=0&#038;s=mse-Jde3p48yo3UMV8s72g\" media=\"--large\"><!--[if IE 9]><\/video><![endif]--><img data-original=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan2-45784.jpg?width=0&#038;s=mse-Jde3p48yo3UMV8s72g\" class=\"lazy \" srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan2-45784.jpg?width=0&#038;s=mse-Jde3p48yo3UMV8s72g\" alt=\"W-Thi To\u00e1n2.jpg\" data-thumb-small-src=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/w-thi-toan2-45784.jpg?width=260&#038;s=WeaOIXT-893K7Kloo8LaFw\"><\/source><\/picture><figcaption>Th\u00ed sinh t\u1ea1i \u0111i\u1ec3m thi THPT Nguy\u1ec5n &#8211; Tr\u00e3i Ba \u0110\u00ecnh \u0111\u01b0\u1ee3c ng\u01b0\u1eddi th\u00e2n \u0111\u00f3n sau bu\u1ed5i thi m\u00f4n To\u00e1n. \u1ea2nh: <em>Th\u1ebf B\u1eb1ng<\/em><\/figcaption><\/figure>\n<p>V\u1ec1 ph\u1ea1m vi ki\u1ebfn th\u1ee9c v\u00e0 \u0111\u1ed9 kh\u00f3, c\u00f4 Oanh cho r\u1eb1ng, c\u1ea5u tr\u00fac \u0111\u1ec1 thi v\u1eabn bao g\u1ed3m 5 b\u00e0i to\u00e1n l\u1edbn, m\u1ed7i b\u00e0i g\u1ed3m nhi\u1ec1u \u00fd nh\u1ecf \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp theo th\u1ee9 t\u1ef1 t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3. C\u00e1c d\u1ea1ng b\u00e0i n\u00e0y th\u00ed sinh \u0111\u00e3 r\u1ea5t quen thu\u1ed9c, v\u00ec th\u1ebf kh\u00f4ng x\u00e1o tr\u1ed9n v\u00e0 g\u00e2y b\u1ee1 ng\u1ee1. M\u1eb7c d\u00f9 \u0111\u1ec1 thi c\u00f3 s\u1ef1 gi\u1ea3m nh\u1eb9 v\u1ec1 \u0111\u1ed9 kh\u00f3 so v\u1edbi \u0111\u1ec1 minh h\u1ecda nh\u01b0ng v\u1eabn c\u00f3 s\u1ef1 ph\u00e2n h\u00f3a t\u1ed1t.<\/p>\n<p>C\u1ee5 th\u1ec3, c\u00e2u 1 l\u00e0 d\u1ea1ng quen thu\u1ed9c v\u1ec1 x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea v\u00e0 kh\u00f4ng g\u00e2y kh\u00f3 kh\u0103n cho th\u00ed sinh khi l\u00e0m b\u00e0i.\u00a0<br \/>C\u00e2u 2 gi\u1eef nguy\u00ean t\u00ednh \u1ed5n \u0111\u1ecbnh v\u1ec1 c\u1ea5u tr\u00fac v\u00e0 d\u1ea1ng b\u00e0i. \u00dd th\u1ee9 3 c\u00e2u h\u1ecfi ph\u1ee5 v\u1ec1 gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, th\u00ed sinh c\u1ea7n ch\u00fa \u00fd \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh v\u00e0 \u0111i\u1ec1u ki\u1ec7n s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1edbn nh\u1ea5t \u0111\u1ec3 t\u00ecm ra x = 3.<\/p>\n<p>C\u00e2u 3 l\u00e0 c\u00e1c d\u1ea1ng b\u00e0i quen thu\u1ed9c v\u00e0 c\u1ea5u tr\u00fac b\u00e0i to\u00e1n t\u01b0\u01a1ng t\u1ef1 nh\u01b0 \u0111\u1ec1 thi minh h\u1ecda, g\u1ed3m c\u00e2u h\u1ecfi gi\u1ea3i b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch l\u1eadp h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh\/ph\u01b0\u01a1ng tr\u00ecnh li\u00ean quan \u0111\u1ebfn chuy\u1ec3n \u0111\u1ed9ng v\u00e0 t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m (t\u0103ng, gi\u1ea3m ph\u1ea7n tr\u0103m). Theo c\u00f4 Oanh, th\u00ed sinh c\u1ea7n c\u00f3 kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch \u0111\u1ec1, ch\u1ecdn t\u1eeb kh\u00f3a v\u00e0 d\u1eef ki\u1ec7n m\u1ea5u ch\u1ed1t \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n. Trong \u0111\u00f3, \u00fd th\u1ee9 3 th\u00ed sinh c\u1ea7n v\u1eadn d\u1ee5ng \u0111\u1ecbnh l\u00fd Vi-et \u0111\u1ec3 x\u1eed l\u00fd ho\u1eb7c gi\u1ea3i tr\u1ef1c ti\u1ebfp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 t\u00ecm \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a m.<\/p>\n<p>C\u00e2u 4 c\u0169ng t\u01b0\u01a1ng t\u1ef1 c\u1ea5u tr\u00fac \u0111\u1ec1 thi minh h\u1ecda, c\u00e2u h\u1ecfi th\u1ee9 nh\u1ea5t v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 v\u00e0 \u00fd th\u1ee9 hai c\u00e2u h\u1ecfi th\u1ef1c t\u1ebf v\u1ec1 th\u1ec3 t\u00edch. C\u00e2u h\u1ecfi th\u1ee9 hai l\u00e0 m\u1ed9t b\u00e0i to\u00e1n v\u1ec1 h\u00ecnh h\u1ecdc v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i xu\u1ea5t hi\u1ec7n trong c\u00e1c c\u00e2u h\u1ecfi \u0111\u1ec1u l\u00e0 d\u1ea1ng b\u00e0i quen thu\u1ed9c nh\u01b0 ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp, ch\u1ee9ng minh tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c, \u0111\u1eb3ng th\u1ee9c h\u00ecnh h\u1ecdc. \u00dd th\u1ee9 3 c\u1ee7a b\u00e0i to\u00e1n ch\u1ee9ng minh hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1eabn lu\u00f4n l\u00e0 c\u00e2u h\u1ecfi kh\u00f3, d\u00e0nh \u0111\u1ec3 ph\u00e2n lo\u1ea1i th\u00ed sinh.<\/p>\n<p>C\u00e2u 5 l\u00e0 b\u00e0i to\u00e1n ki\u1ec3m tra t\u00ednh \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n c\u1ee7a ki\u1ebfn th\u1ee9c v\u1ec1 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh &#8211; b\u1ea5t \u0111\u1eb3ng th\u1ee9c v\u00e0 l\u00e0 c\u00e2u h\u1ecfi c\u00f3 t\u00ednh ph\u00e2n lo\u1ea1i c\u1ee7a \u0111\u1ec1. B\u00e0i to\u00e1n gi\u1ea3m v\u1ec1 \u0111\u1ed9 kh\u00f3 v\u00e0 \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n, th\u00ed sinh c\u1ea7n v\u1eadn d\u1ee5ng linh ho\u1ea1t c\u00e1c k\u1ef9 n\u0103ng bi\u1ebfn \u0111\u1ed5i bi\u1ec3u th\u1ee9c v\u00e0 \u00e1p d\u1ee5ng b\u1ea5t \u0111\u1eb3ng th\u1ee9c h\u1ee3p l\u00fd, \u0111\u00fang th\u1eddi \u0111i\u1ec3m v\u1edbi c\u00e1c d\u1eef ki\u1ec7n \u0111\u1ec1 b\u00e0i \u0111\u00e3 cho.<\/p>\n<p>V\u1ec1 t\u1ed5ng quan, c\u00f4 Oanh cho r\u1eb1ng \u0111\u1ec1 \u0111\u00e3 gi\u1ea3m nh\u1eb9 v\u1ec1 \u0111\u1ed9 kh\u00f3, kh\u00f4ng \u0111\u00e1nh \u0111\u1ed1 h\u1ecdc sinh. \u201cD\u1ef1 ki\u1ebfn, m\u1ee9c \u0111i\u1ec3m trung b\u00ecnh c\u1ee7a th\u00ed sinh c\u00f3 th\u1ec3 r\u01a1i v\u00e0o kho\u1ea3ng 7 \u0111i\u1ec3m\u201d, c\u00f4 Oanh nh\u1eadn \u0111\u1ecbnh.<\/p>\n<p><strong>C\u00f4 \u0110inh Tuy\u1ebft Trinh, T\u1ed5 ph\u00f3 T\u1ed5 To\u00e1n c\u1ee7a Tr\u01b0\u1eddng THCS v\u00e0 THPT M.V.L\u00f4m\u00f4n\u00f4x\u1ed1p<\/strong> c\u0169ng nh\u1eadn x\u00e9t, \u0111\u1ec1 thi c\u01a1 b\u1ea3n, hay, kh\u00f4ng qu\u00e1 \u0111\u00e1nh \u0111\u1ed1.<\/p>\n<p>\u201c\u0110\u1ec1 thi \u0111\u00e3 \u0111\u1ed5i m\u1edbi m\u1ea1nh m\u1ebd v\u1ec1 c\u1ea5u tr\u00fac v\u00e0 n\u1ed9i dung, m\u1ed9t s\u1ed1 c\u00e1c c\u00e2u h\u1ecfi \u0111\u00e3 g\u1eafn li\u1ec1n v\u1edbi y\u1ebfu t\u1ed1 th\u1ef1c t\u1ebf \u0111\u00fang theo tinh th\u1ea7n \u0111\u1ed5i m\u1edbi c\u1ee7a Ch\u01b0\u01a1ng tr\u00ecnh Ph\u1ed5 th\u00f4ng 2018 (c\u00e2u I; c\u00e2u III \u00fd 2; c\u00e2u IV \u00fd1b; c\u00e2u V).<\/p>\n<p>\u0110\u00fang nh\u01b0 mong \u0111\u1ee3i c\u1ee7a gi\u00e1o vi\u00ean v\u00e0 h\u1ecdc sinh kh\u1ed1i 9, \u0111\u1ec1 thi v\u1eeba s\u1ee9c v\u1edbi h\u1ecdc sinh, kh\u00f4ng l\u00e0m kh\u00f3 c\u00e1c em; c\u00e2u h\u1ecfi m\u1ea1ch l\u1ea1c, r\u00f5 r\u00e0ng, ng\u00f4n ng\u1eef d\u1ec5 hi\u1ec3u, trong s\u00e1ng, c\u00f3 \u0111\u1ed9 ph\u00e2n h\u00f3a cao. Ki\u1ebfn th\u1ee9c \u0111\u01b0a v\u00e0o \u0111\u1ec1 thi ch\u1ee7 y\u1ebfu t\u1eadp trung trong ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 9, \u0111\u1ecbnh d\u1ea1ng \u0111\u1ec1 \u0111\u00fang nh\u01b0 \u0111\u1ec1 minh h\u1ecda c\u1ee7a S\u1edf. Do v\u1eady n\u1ebfu h\u1ecdc sinh c\u00f3 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng c\u01a1 b\u1ea3n v\u00e0 \u0111\u01b0\u1ee3c \u00f4n luy\u1ec7n k\u0129 c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng l\u1ea5y \u0111\u01b0\u1ee3c \u0111i\u1ec3m 7 v\u00e0 8. B\u00ean c\u1ea1nh \u0111\u00f3, \u0111\u1ec1 v\u1eabn c\u00f3 c\u00e1c c\u00e2u h\u1ecfi th\u00e1ch th\u1ee9c \u0111i\u1ec3m 9 v\u00e0 10 \u1edf c\u00e2u c b\u00e0i H\u00ecnh t\u1ed5ng h\u1ee3p v\u00e0 \u1edf c\u00e2u cu\u1ed1i c\u1ee7a \u0111\u1ec1 (c\u00e2u V)\u201d, c\u00f4 Trinh ph\u00e2n t\u00edch.<\/p>\n<p>Theo c\u00f4 Trinh, \u0111\u1ec1 To\u00e1n n\u0103m nay c\u00f3 nhi\u1ec1u thay \u0111\u1ed5i, kh\u00e1c bi\u1ec7t so v\u1edbi \u0111\u1ec1 thi c\u00e1c n\u0103m tr\u01b0\u1edbc.<\/p>\n<p>C\u1ee5 th\u1ec3, v\u1ec1 c\u1ea5u tr\u00fac c\u00f3 5 c\u00e2u h\u1ecfi l\u1edbn, trong m\u1ed7i c\u00e2u h\u1ecfi l\u1edbn c\u00f3 nhi\u1ec1u c\u00e2u h\u1ecfi nh\u1ecf. Theo \u0111\u00f3 bi\u1ec3u \u0111i\u1ec3m cho t\u1eebng c\u00e2u c\u0169ng \u0111\u01b0\u1ee3c chia nh\u1ecf h\u01a1n. \u0110i\u1ec1u n\u00e0y c\u00f3 l\u1ee3i cho h\u1ecdc sinh, n\u1ebfu c\u00e2u n\u00e0o h\u1ecdc sinh l\u00e0m sai c\u0169ng kh\u00f4ng b\u1ecb m\u1ea5t \u0111i\u1ec3m nhi\u1ec1u.<br \/>V\u1ec1 s\u1ed1 l\u01b0\u1ee3ng c\u00e2u h\u1ecfi, tr\u01b0\u1edbc \u0111\u00e2y l\u00e0 12, n\u0103m nay t\u0103ng s\u1ed1 l\u01b0\u1ee3ng l\u00e0 14. Nh\u01b0 v\u1eady, s\u1ebd ki\u1ec3m tra \u0111\u01b0\u1ee3c nhi\u1ec1u ki\u1ebfn th\u1ee9c h\u01a1n, \u0111a d\u1ea1ng h\u01a1n gi\u00fap cho h\u1ecdc sinh c\u00f3 th\u1ec3 ph\u00e1t huy \u0111\u01b0\u1ee3c h\u1ebft c\u00e1c n\u0103ng l\u1ef1c c\u1ee7a m\u00ecnh \u0111\u00fang nh\u01b0 m\u1ee5c ti\u00eau gi\u00e1o d\u1ee5c c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi.<\/p>\n<p>Ngo\u00e0i ra c\u00f2n nh\u1eefng \u0111i\u1ec3m m\u1edbi v\u1ec1 n\u1ed9i dung nh\u01b0: th\u00eam b\u00e0i to\u00e1n c\u00f3 n\u1ed9i dung th\u1ed1ng k\u00ea, x\u00e1c su\u1ea5t, b\u00e0i h\u00ecnh kh\u00f4ng gian kh\u00f4ng ch\u1ec9 \u0111\u01a1n thu\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nh\u01b0 m\u1ecdi n\u0103m m\u00e0 c\u00f2n \u0111\u00f2i h\u1ecfi h\u1ecdc sinh ph\u1ea3i gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 c\u1ee7a b\u00e0i to\u00e1n trong th\u1ef1c t\u1ebf.<\/p>\n<p>\u201cC\u00e2u V c\u1ee7a \u0111\u1ec1 ra d\u01b0\u1edbi d\u1ea1ng l\u00e0 m\u1ed9t b\u00e0i to\u00e1n th\u1ef1c t\u1ebf, kh\u00f4ng \u0111\u01a1n \u0111i\u1ec7u nh\u01b0 tr\u01b0\u1edbc \u0111\u00e2y. \u0110\u1ec1 b\u00e0i kh\u00f4ng cho s\u1eb5n c\u00e1c bi\u1ec3u th\u1ee9c to\u00e1n, m\u00e0 th\u00f4ng qua m\u1ed9t b\u00e0i to\u00e1n th\u1ef1c t\u1ebf, h\u1ecdc sinh ph\u1ea3i t\u1ef1 xoay s\u1edf \u0111\u1ec3 t\u00ecm ra b\u1ea5t \u0111\u1eb3ng th\u1ee9c to\u00e1n h\u1ecdc, t\u1eeb \u0111\u00f3 \u0111\u00e1nh gi\u00e1 t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t&#8230; T\u00f3m l\u1ea1i, \u0111\u1ec1 thi m\u00f4n To\u00e1n n\u0103m nay \u0111\u1ea3m b\u1ea3o \u0111\u01b0\u1ee3c ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n, kh\u00f4ng qu\u00e1 \u0111\u00e1nh \u0111\u1ed1 m\u00e0 v\u1eabn ph\u00e2n lo\u1ea1i h\u1ecdc sinh r\u1ea5t t\u1ed1t\u201d, c\u00f4 Trinh n\u00f3i.<\/p>\n<p>V\u1edbi \u0111\u1ec1 thi n\u00e0y, c\u00f4 Trinh d\u1ef1 \u0111o\u00e1n m\u1ee9c \u0111i\u1ec3m c\u1ee7a c\u00e1c th\u00ed sinh s\u1ebd t\u1eadp trung \u1edf m\u1ee9c 7 \u0111\u1ebfn 8; m\u1ee9c \u0111i\u1ec3m 9 nhi\u1ec1u, \u0111i\u1ec3m 10 \u00edt.<\/p>\n<div class=\"ck-cms-insert-neww-group vnn-template-noneditable articles-edit\" id=\"vnn-editor-1749353798603\" data-temp=\"template20\">\n<article class=\"ck-cms-insert-news\" data-vnnembed=\"true\" data-vnnembedtype=\"article\" data-vnnembedid=\"2409180\"><picture><img data-original=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/lich-cong-bo-diem-thi-lop-10-o-ha-noi-nam-2025-29281.jpg?width=0&#038;s=tG0vxcrFSlrMN7xRFbBxKg\" class=\"lazy \" srcset=\"https:\/\/static-images.vnncdn.net\/vps_images_publish\/000001\/000003\/2025\/6\/8\/lich-cong-bo-diem-thi-lop-10-o-ha-noi-nam-2025-29281.jpg?width=260&#038;s=BWPAY5Mjtc5lh_tdIqhFHw\" alt=\"L\u1ecbch c\u00f4ng b\u1ed1 \u0111i\u1ec3m thi l\u1edbp 10 \u1edf H\u00e0 N\u1ed9i n\u0103m 2025\"><\/picture>\n<div class=\"insert-wiki-content\">\n<div class=\"insert-wiki-title\">L\u1ecbch c\u00f4ng b\u1ed1 \u0111i\u1ec3m thi l\u1edbp 10 \u1edf H\u00e0 N\u1ed9i n\u0103m 2025<\/div>\n<div class=\"insert-wiki-description\">Theo k\u1ebf ho\u1ea1ch, l\u1ecbch c\u00f4ng b\u1ed1 \u0111i\u1ec3m thi l\u1edbp 10 \u1edf H\u00e0 N\u1ed9i n\u0103m 2025 v\u00e0o kho\u1ea3ng t\u1eeb ng\u00e0y 4\/7 \u0111\u1ebfn 6\/7.<\/div>\n<\/div>\n<\/article>\n<\/div>\n<p>                            <!-- BEGIN COMPONENT:: COMPONENT002778 --><br \/>\n<!-- END COMPONENT:: COMPONENT002778 --><\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u00e1p \u00e1n m\u00f4n To\u00e1n thi v\u00e0o l\u1edbp 10 t\u1ea1i H\u00e0 N\u1ed9i n\u0103m 2025 S\u00e1ng 8\/6, g\u1ea7n 116.000 l\u01b0\u1ee3t th\u00ed sinh H\u00e0 N\u1ed9i \u0111\u00e3 ho\u00e0n th\u00e0nh b\u00e0i thi m\u00f4n To\u00e1n k\u00e9o d\u00e0i 120 ph\u00fat. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0111\u00e1p \u00e1n tham kh\u1ea3o m\u00f4n To\u00e1n thi tuy\u1ec3n sinh v\u00e0o l\u1edbp 10 t\u1ea1i H\u00e0 N\u1ed9i n\u0103m 2025. Nh\u1eadn x\u00e9t<\/p>\n","protected":false},"author":1,"featured_media":27698,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"googlesitekit_rrm_CAow44a6DA:productID":"","footnotes":""},"categories":[2],"tags":[9318,9322,9320,9321,9319,8507,9490],"class_list":["post-27697","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thoi-su","tag-de-thi-tuyen-sinh-vao-lop-10-mon-toan-tai-ha-noi","tag-de-thi-vao-lop-10-mon-toan-tai-ha-noi","tag-de-toan-tuyen-sinh-vao-lop-10-ha-noi","tag-de-toan-tuyen-sinh-vao-lop-10-ha-noi-nam-2025","tag-de-toan-tuyen-sinh-vao-lop-10-tai-ha-noi","tag-lop-10","tag-mon-toan-thi-lop-10-ha-noi"],"_links":{"self":[{"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/posts\/27697","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27697"}],"version-history":[{"count":0,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/posts\/27697\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=\/wp\/v2\/media\/27698"}],"wp:attachment":[{"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27697"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27697"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quanghung.name.vn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27697"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}