{"id":468,"date":"2026-05-05T04:47:24","date_gmt":"2026-05-05T04:47:24","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-thuan-thanh-1-2-bac-ninh\/"},"modified":"2026-05-05T07:20:26","modified_gmt":"2026-05-05T07:20:26","slug":"de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-thuan-thanh-1-2-bac-ninh","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-thuan-thanh-1-2-bac-ninh\/","title":{"rendered":"\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh"},"content":{"rendered":"

T\u00e0i li\u1ec7u \u00d4n Thi<\/a> g\u1eedi \u0111\u1ebfn c\u00e1c b\u1ea1n h\u1ecdc sinh 12 t\u1eadp \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong> k\u00e8m c\u00e1ch h\u01b0\u1edbng d\u1eabn gi\u1ea3i chi ti\u1ebft d\u1ec5 hi\u1ec3u gi\u00fap c\u00e1c b\u1ea1n thu\u1eadn ti\u1ec7n trong qu\u00e1 tr\u00ecnh \u00f4n t\u1eadp. H\u00e3y c\u00f9ng ch\u00fang t\u00f4i xem qua chi ti\u1ebft n\u1ed9i dung c\u1ee7a \u0111\u1ec1 thi th\u1eed n\u00e0y c\u00f3 \u0111\u1eb7c bi\u1ec7t nh\u00e9!<\/p>\n

N\u1ed9i dung \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong><\/h2>\n

N\u1ed9i dung \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong> \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p chi ti\u1ebft theo c\u1ea5u tr\u00fac c\u1ee7a m\u1ed9t \u0111\u1ec1 thi t\u1ed1t nghi\u1ec7p To\u00e1n ch\u00ednh th\u1ee9c. C\u00e1c c\u00e2u h\u1ecfi trong \u0111\u1ec1 \u0111\u01b0\u1ee3c ph\u00e2n chia \u0111\u1ec1u theo ki\u1ebfn th\u1ee9c v\u00e0 c\u1ea5p \u0111\u1ed9 c\u1ee7a m\u1ed7i ph\u1ea7n v\u00e0 l\u00e0m b\u00e0i trong th\u1eddi gian 90 ph\u00fat. H\u00e3y xem qua n\u1ed9i dung chi ti\u1ebft sau \u0111\u00e2y:<\/p>\n

Ph\u1ea7n 1. C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m<\/strong><\/span><\/p>\n

(***) Tr\u00edch m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m c\u1ee7a ph\u1ea7n 1 trong \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong>:<\/p>\n

C\u00e2u 1: Cho kh\u1ed1i ch\u00f3p c\u00f3 di\u1ec7n t\u00edch \u0111\u00e1y B v\u00e0 th\u1ec3 t\u00edch b\u1eb1ng V . Chi\u1ec1u cao c\u1ee7a kh\u1ed1i ch\u00f3p \u0111\u00e3 cho:<\/p>\n

A. h = 3V\/B \u00a0 \u00a0 \u00a0 \u00a0 B. h = 1\/3VB \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 C. h = V\/B \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0D. h = V\/3B <\/p>\n

C\u00e2u 2: Trong c\u00e1c h\u00e0m s\u1ed1 sau \u0111\u00e2y, h\u00e0m s\u1ed1 n\u00e0o c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd.<\/p>\n

\"\"<\/p>\n

A. y = -x\u00b3 + 3x \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 B. y = -x\u00b3 + 3x + 1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 C. y = x\u00b3 – 3x + 1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D. y = -x\u00b3 + 2 <\/p>\n

Ph\u1ea7n 2. C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m \u0111\u00fang sai<\/strong><\/span><\/p>\n

G\u1ed3m c\u00f3 4 c\u00e2u h\u1ecfi v\u1edbi c\u00e1c \u0111\u00e1p \u00e1n a, b, c, d, c\u00e1c b\u1ea1n h\u1ecdc sinh ch\u1ec9 c\u1ea7n l\u1ef1a ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang ho\u1eb7c sai cho m\u1ed7i \u0111\u00e1p \u00e1n. H\u00e3y gi\u1ea3i ngay c\u00e1c c\u00e2u h\u1ecfi sau \u0111\u00e2y \u0111\u1ec3 l\u00e0m quen v\u1edbi \u0111\u1ec1 thi thpt to\u00e1n:<\/p>\n

C\u00e2u 1: Tr\u00ean m\u1ed9t b\u1ea3ng qu\u1ea3ng c\u00e1o, ng\u01b0\u1eddi ta m\u1eafc hai h\u1ec7 th\u1ed1ng b\u00f3ng \u0111\u00e8n. H\u1ec7 th\u1ed1ng I g\u1ed3m 2 b\u00f3ng m\u1eafc n\u1ed1i ti\u1ebfp, h\u1ec7 th\u1ed1ng II g\u1ed3m 2 b\u00f3ng m\u1eafc song song. Kh\u1ea3 n\u0103ng b\u1ecb h\u1ecfng c\u1ee7a m\u1ed7i b\u00f3ng \u0111\u00e8n sau 6 gi\u1edd th\u1eafp s\u00e1ng li\u00ean t\u1ee5c l\u00e0 0,15. Bi\u1ebft t\u00ecnh tr\u1ea1ng c\u1ee7a m\u1ed7i b\u00f3ng \u0111\u00e8n l\u00e0 \u0111\u1ed9c l\u1eadp.<\/p>\n

a) X\u00e1c su\u1ea5t c\u1ea3 hai h\u1ec7 th\u1ed1ng b\u1ecb h\u1ecfng (kh\u00f4ng s\u00e1ng) (k\u1ebft qu\u1ea3 \u0111\u01b0\u1ee3c l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng ph\u1ea7n tri\u1ec7u) l\u00e0 \u2248 0,026\n<\/p>\n

b) X\u00e1c su\u1ea5t \u0111\u1ec3 h\u1ec7 th\u1ed1ng I b\u1ecb h\u1ecfng (kh\u00f4ng s\u00e1ng) b\u1eb1ng: 0,5775\n<\/p>\n

c) X\u00e1c su\u1ea5t \u0111\u1ec3 h\u1ec7 th\u1ed1ng II ho\u1ea1t \u0111\u1ed9ng b\u00ecnh th\u01b0\u1eddng b\u1eb1ng: 0,9775\n<\/p>\n

d) X\u00e1c su\u1ea5t \u0111\u1ec3 h\u1ec7 th\u1ed1ng II b\u1ecb h\u1ecfng (kh\u00f4ng s\u00e1ng) b\u1eb1ng: 0,0225\n<\/p>\n

Ph\u1ea7n 3. C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m tr\u1ea3 l\u1eddi ng\u1eafn<\/span><\/strong><\/p>\n

Tr\u1ecdng t\u00e2m c\u00e1c ki\u1ebfn th\u1ee9c quan tr\u1ecdng s\u1ebd ph\u00e2n b\u1ed5 c\u00e1c c\u00e2u h\u1ecfi \u1edf ph\u1ea7n 3, d\u1ea1ng c\u00e2u h\u1ecfi t\u1ef1 lu\u1eadn tr\u1ea3 l\u1eddi ng\u1eafn s\u1ebd g\u1ed3m c\u00e1c c\u00e2u sau:<\/p>\n

C\u00e2u 1: M\u1ed9t chi\u1ebfc m\u00e1y quay phim c\u00f3 tr\u1ecdng l\u01b0\u1ee3ng 300 N \u0111\u01b0\u1ee3c \u0111\u1eb7t tr\u00ean m\u1ed9t gi\u00e1 \u0111\u1ee1 ba ch\u00e2n v\u1edbi \u0111i\u1ec3m \u0111\u1eb7t E(0; 0; 6) v\u00e0 c\u00e1c \u0111i\u1ec3m ti\u1ebfp x\u00fac v\u1edbi m\u1eb7t \u0111\u1ea5t c\u1ee7a ba ch\u00e2n l\u1ea7n l\u01b0\u1ee3t l\u00e0 A\u2081(0; 1; 0), A\u2082( (\u221a3)\/(2); -1\/2; 0 ), A\u2083( -(\u221a3)\/(2); -1\/2; 0 ) (H\u00ecnh b\u00ean d\u01b0\u1edbi). Gi\u1ea3 s\u1eed F\u20d7\u2081 = (a; b; c) khi \u0111\u00f3 a + 3b – c b\u1eb1ng bao nhi\u00eau?<\/p>\n

\"\"<\/p>\n

C\u00e2u 2: \u00d4ng Thanh nu\u00f4i c\u00e1 chim \u1edf m\u1ed9t c\u00e1i ao c\u00f3 di\u1ec7n t\u00edch l\u00e0 50 m\u00b2 . V\u1ee5 tr\u01b0\u1edbc \u00f4ng nu\u00f4i v\u1edbi m\u1eadt \u0111\u1ed9 l\u00e0 20 con\/m\u00b2 v\u00e0 thu \u0111\u01b0\u1ee3c 1,5 t\u1ea5n c\u00e1 . Theo kinh nghi\u1ec7m nu\u00f4i c\u00e1 c\u1ee7a m\u00ecnh th\u00ec c\u1ee9 th\u1ea3 gi\u1ea3m \u0111i 8 con\/m\u00b2 th\u00ec m\u1ed7i con c\u00e1 khi thu ho\u1ea1ch t\u0103ng l\u00ean 0,5 kg . V\u1eady v\u1ee5 t\u1edbi \u00f4ng ph\u1ea3i th\u1ea3 bao nhi\u00eau con c\u00e1 gi\u1ed1ng \u0111\u1ec3 \u0111\u01b0\u1ee3c t\u1ed5ng n\u0103ng su\u1ea5t khi thu ho\u1ea1ch l\u00e0 cao nh\u1ea5t? Gi\u1ea3 s\u1eed kh\u00f4ng c\u00f3 hao h\u1ee5t khi nu\u00f4i.<\/p>\n

Ngo\u00e0i ra, c\u00e1c b\u1ea1n h\u1ecdc sinh c\u00f3 th\u1ec3 tham kh\u1ea3o th\u00eam nhi\u1ec1u \u0111\u1ec1 thi thpt to\u00e1n<\/a> kh\u00e1c \u0111\u1ec3 chu\u1ea9n b\u1ecb cho m\u00ecnh m\u1ed9t l\u1ed9 tr\u00ecnh \u00f4n thi hi\u1ec7u qu\u1ea3 nh\u00e9.<\/p>\n

T\u1ea3i \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong><\/h2>\n

B\u1ea1n \u0111ang t\u00ecm ki\u1ebfm t\u00e0i li\u1ec7u \u00f4n t\u1eadp ch\u1ea5t l\u01b0\u1ee3ng cho k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT? \u0110\u1eebng b\u1ecf qua \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT THU\u1eacN TH\u00c0NH 1 \u2013 2 B\u1eafc Ninh<\/strong>. \u0110\u00e2y s\u1ebd l\u00e0 ch\u00eca kh\u00f3a gi\u00fap b\u1ea1n r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng l\u00e0m b\u00e0i, n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c v\u00e0 t\u1ef1 tin b\u1ee9t ph\u00e1 \u0111i\u1ec3m s\u1ed1 trong k\u1ef3 thi s\u1eafp t\u1edbi. T\u1ea3i ngay qua \u0111\u01b0\u1eddng link d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n