{"id":569046,"date":"2026-07-24T09:23:12","date_gmt":"2026-07-24T02:23:12","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=569046"},"modified":"2026-07-24T09:37:57","modified_gmt":"2026-07-24T02:37:57","slug":"so-huu-ti","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/so-huu-ti\/","title":{"rendered":"S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec? V\u00ed d\u1ee5, c\u00e1ch so s\u00e1nh v\u00e0 ph\u00e2n bi\u1ec7t s\u1ed1 v\u00f4 t\u1ec9"},"content":{"rendered":"<p>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 m\u1ed9t trong nh\u1eefng kh\u00e1i ni\u1ec7m n\u1ec1n t\u1ea3ng c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7, xu\u1ea5t hi\u1ec7n trong h\u1ea7u h\u1ebft c\u00e1c b\u00e0i to\u00e1n v\u1ec1 s\u1ed1 v\u00e0 ph\u00e9p t\u00ednh sau n\u00e0y. Hi\u1ec3u \u0111\u00fang s\u1ed1 h\u1eefu t\u1ec9 gi\u00fap b\u1ea1n ph\u00e2n lo\u1ea1i s\u1ed1, so s\u00e1nh gi\u00e1 tr\u1ecb v\u00e0 l\u00e0m quen v\u1edbi t\u1eadp s\u1ed1 th\u1ef1c m\u1ed9t c\u00e1ch d\u1ec5 d\u00e0ng. N\u1ed9i dung d\u01b0\u1edbi \u0111\u00e2y s\u1ebd gi\u1ea3i th\u00edch s\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec, cho v\u00ed d\u1ee5 c\u1ee5 th\u1ec3, h\u01b0\u1edbng d\u1eabn c\u00e1ch bi\u1ec3u di\u1ec5n tr\u00ean tr\u1ee5c s\u1ed1, c\u00e1ch so s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c\u00e1ch ph\u00e2n bi\u1ec7t s\u1ed1 h\u1eefu t\u1ec9 v\u1edbi s\u1ed1 v\u00f4 t\u1ec9, k\u00e8m nhi\u1ec1u b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec3 b\u1ea1n t\u1ef1 luy\u1ec7n.<\/p>\n<h2>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec?<\/h2>\n<p>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 s\u1ed1 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 a\/b, trong \u0111\u00f3 a v\u00e0 b l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean v\u00e0 b kh\u00e1c 0. T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 Q.<\/p>\n<p>N\u00f3i c\u00e1ch kh\u00e1c, m\u1ed9t s\u1ed1 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 n\u1ebfu ta c\u00f3 th\u1ec3 bi\u1ec3u di\u1ec5n n\u00f3 b\u1eb1ng th\u01b0\u01a1ng c\u1ee7a hai s\u1ed1 nguy\u00ean. V\u00ec v\u1eady m\u1ecdi s\u1ed1 nguy\u00ean, m\u1ecdi s\u1ed1 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n v\u00e0 m\u1ecdi s\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n \u0111\u1ec1u l\u00e0 s\u1ed1 h\u1eefu t\u1ec9. V\u00ed d\u1ee5 s\u1ed1 4 vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh 4\/1, s\u1ed1 0,5 vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh 1\/2, c\u00f2n 0,333\u2026 vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh 1\/3.<\/p>\n<p>V\u1ec1 m\u1eb7t th\u1eadp ph\u00e2n, s\u1ed1 h\u1eefu t\u1ec9 lu\u00f4n c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n (nh\u01b0 0,25) ho\u1eb7c v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n (nh\u01b0 0,1666\u2026). \u0110\u00e2y l\u00e0 d\u1ea5u hi\u1ec7u quan tr\u1ecdng \u0111\u1ec3 nh\u1eadn bi\u1ebft v\u00e0 ph\u00e2n bi\u1ec7t s\u1ed1 h\u1eefu t\u1ec9 v\u1edbi <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-vo-ti\/\">s\u1ed1 v\u00f4 t\u1ec9<\/a> m\u00e0 b\u1ea1n s\u1ebd g\u1eb7p \u1edf ph\u1ea7n sau.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-569651 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-1.jpg\" alt=\"so-huu-ti-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>V\u00ed d\u1ee5 v\u1ec1 s\u1ed1 h\u1eefu t\u1ec9<\/h2>\n<p>S\u1ed1 h\u1eefu t\u1ec9 xu\u1ea5t hi\u1ec7n r\u1ea5t ph\u1ed5 bi\u1ebfn, d\u01b0\u1edbi nhi\u1ec1u h\u00ecnh th\u1ee9c kh\u00e1c nhau. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 c\u00e1c nh\u00f3m v\u00ed d\u1ee5 th\u01b0\u1eddng g\u1eb7p nh\u1ea5t:<\/p>\n<ul>\n<li>S\u1ed1 nguy\u00ean: 5 = 5\/1; \u22123 = \u22123\/1; 0 = 0\/1 \u0111\u1ec1u l\u00e0 s\u1ed1 h\u1eefu t\u1ec9.<\/li>\n<li>Ph\u00e2n s\u1ed1: 1\/2; \u22127\/4; 3\/5.<\/li>\n<li>S\u1ed1 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n: 0,25 = 1\/4; 1,5 = 3\/2.<\/li>\n<li>S\u1ed1 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n: 0,333\u2026 = 1\/3; 0,1666\u2026 = 1\/6.<\/li>\n<li>H\u1ed7n s\u1ed1: 2 1\/2 = 5\/2; \u22123 1\/4 = \u221213\/4.<\/li>\n<\/ul>\n<p>\u0110i\u1ec3m chung c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c v\u00ed d\u1ee5 tr\u00ean l\u00e0 ch\u00fang \u0111\u1ec1u \u0111\u01b0a \u0111\u01b0\u1ee3c v\u1ec1 d\u1ea1ng ph\u00e2n s\u1ed1 c\u1ee7a hai s\u1ed1 nguy\u00ean v\u1edbi m\u1eabu kh\u00e1c 0, n\u00ean \u0111\u1ec1u thu\u1ed9c t\u1eadp Q.<\/p>\n<h2>Ph\u00e2n lo\u1ea1i s\u1ed1 h\u1eefu t\u1ec9<\/h2>\n<p>D\u1ef1a v\u00e0o d\u1ea5u, ng\u01b0\u1eddi ta chia s\u1ed1 h\u1eefu t\u1ec9 th\u00e0nh ba nh\u00f3m: s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng, s\u1ed1 h\u1eefu t\u1ec9 \u00e2m v\u00e0 s\u1ed1 0. B\u1ea3ng sau t\u00f3m t\u1eaft \u0111\u1eb7c \u0111i\u1ec3m v\u00e0 v\u00ed d\u1ee5 c\u1ee7a t\u1eebng lo\u1ea1i.<\/p>\n<table>\n<thead>\n<tr>\n<th>Lo\u1ea1i<\/th>\n<th>\u0110\u1eb7c \u0111i\u1ec3m<\/th>\n<th>V\u00ed d\u1ee5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>S\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng<\/td>\n<td>L\u1edbn h\u01a1n 0<\/td>\n<td>1\/2; 3; 0,75<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 h\u1eefu t\u1ec9 \u00e2m<\/td>\n<td>Nh\u1ecf h\u01a1n 0<\/td>\n<td>\u22122\/5; \u22124; \u22120,3<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 0<\/td>\n<td>Kh\u00f4ng \u00e2m, kh\u00f4ng d\u01b0\u01a1ng<\/td>\n<td>0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>L\u01b0u \u00fd s\u1ed1 0 v\u1eeba kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng, v\u1eeba kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 \u00e2m. \u0110\u00e2y l\u00e0 \u0111i\u1ec3m h\u1ecdc sinh hay nh\u1ea7m khi l\u00e0m b\u00e0i tr\u1eafc nghi\u1ec7m.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-pytago\/\">\u0110\u1ecbnh l\u00fd Pytago: c\u00f4ng th\u1ee9c, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, v\u00ed d\u1ee5 \u00e1p d\u1ee5ng<\/a><\/strong><br \/>\n<img decoding=\"async\" class=\"size-full wp-image-569652 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-2.jpg\" alt=\"so-huu-ti-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1c ph\u00e9p to\u00e1n tr\u00ean t\u1eadp s\u1ed1 h\u1eefu t\u1ec9 Q<\/h2>\n<p>Tr\u00ean t\u1eadp s\u1ed1 h\u1eefu t\u1ec9 Q, b\u1ea1n c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n \u0111\u1ea7y \u0111\u1ee7 b\u1ed1n ph\u00e9p t\u00ednh c\u1ed9ng, tr\u1eeb, nh\u00e2n, chia (tr\u1eeb chia cho 0) v\u00e0 k\u1ebft qu\u1ea3 lu\u00f4n l\u00e0 m\u1ed9t s\u1ed1 h\u1eefu t\u1ec9. V\u1edbi hai s\u1ed1 h\u1eefu t\u1ec9 vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 a\/b v\u00e0 c\/d, c\u00e1c quy t\u1eafc c\u01a1 b\u1ea3n nh\u01b0 sau:<\/p>\n<ul>\n<li>C\u1ed9ng, tr\u1eeb: quy \u0111\u1ed3ng m\u1eabu r\u1ed3i c\u1ed9ng ho\u1eb7c tr\u1eeb t\u1eed s\u1ed1, v\u00ed d\u1ee5 1\/2 + 1\/3 = 3\/6 + 2\/6 = 5\/6.<\/li>\n<li>Nh\u00e2n: nh\u00e2n t\u1eed v\u1edbi t\u1eed, m\u1eabu v\u1edbi m\u1eabu, v\u00ed d\u1ee5 2\/3 \u00d7 3\/4 = 6\/12 = 1\/2.<\/li>\n<li>Chia: nh\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t v\u1edbi ngh\u1ecbch \u0111\u1ea3o c\u1ee7a s\u1ed1 th\u1ee9 hai, v\u00ed d\u1ee5 2\/3 : 4\/5 = 2\/3 \u00d7 5\/4 = 10\/12 = 5\/6.<\/li>\n<\/ul>\n<p>Nh\u1edd t\u00ednh ch\u1ea5t &#8220;k\u00edn&#8221; v\u1edbi b\u1ed1n ph\u00e9p to\u00e1n n\u00e0y, s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c d\u00f9ng l\u00e0m n\u1ec1n t\u1ea3ng cho h\u1ea7u h\u1ebft c\u00e1c ph\u00e9p t\u00ednh \u1edf b\u1eadc THCS tr\u01b0\u1edbc khi b\u1ea1n h\u1ecdc t\u1edbi s\u1ed1 v\u00f4 t\u1ec9 v\u00e0 s\u1ed1 th\u1ef1c.<\/p>\n<h2>C\u00e1ch bi\u1ec3u di\u1ec5n s\u1ed1 h\u1eefu t\u1ec9 tr\u00ean tr\u1ee5c s\u1ed1<\/h2>\n<p>M\u1ed7i s\u1ed1 h\u1eefu t\u1ec9 \u0111\u1ec1u \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi \u0111\u00fang m\u1ed9t \u0111i\u1ec3m tr\u00ean tr\u1ee5c s\u1ed1. C\u00e1ch l\u00e0m ph\u1ed5 bi\u1ebfn l\u00e0 chia \u0111o\u1ea1n \u0111\u01a1n v\u1ecb th\u00e0nh c\u00e1c ph\u1ea7n b\u1eb1ng nhau theo m\u1eabu s\u1ed1, r\u1ed3i \u0111\u1ebfm s\u1ed1 ph\u1ea7n b\u1eb1ng t\u1eed s\u1ed1.<\/p>\n<p>V\u00ed d\u1ee5 \u0111\u1ec3 bi\u1ec3u di\u1ec5n 3\/4, b\u1ea1n chia \u0111o\u1ea1n t\u1eeb 0 \u0111\u1ebfn 1 th\u00e0nh 4 ph\u1ea7n b\u1eb1ng nhau, \u0111i\u1ec3m bi\u1ec3u di\u1ec5n 3\/4 n\u1eb1m \u1edf v\u1ea1ch th\u1ee9 ba t\u00ednh t\u1eeb 0. V\u1edbi s\u1ed1 \u00e2m nh\u01b0 \u22123\/4, b\u1ea1n l\u00e0m t\u01b0\u01a1ng t\u1ef1 nh\u01b0ng \u0111\u1ebfm v\u1ec1 ph\u00eda b\u00ean tr\u00e1i \u0111i\u1ec3m 0. C\u00e1ch bi\u1ec3u di\u1ec5n n\u00e0y gi\u00fap b\u1ea1n h\u00ecnh dung tr\u1ef1c quan s\u1ed1 n\u00e0o l\u1edbn h\u01a1n: \u0111i\u1ec3m n\u1eb1m b\u00ean ph\u1ea3i lu\u00f4n \u1ee9ng v\u1edbi s\u1ed1 l\u1edbn h\u01a1n.<\/p>\n<h2>C\u00e1ch so s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9<\/h2>\n<p>\u0110\u1ec3 so s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9, b\u1ea1n c\u00f3 th\u1ec3 d\u00f9ng m\u1ed9t trong hai c\u00e1ch sau, t\u00f9y d\u1ea1ng s\u1ed1 \u0111\u1ec1 cho:<\/p>\n<ul>\n<li>C\u00e1ch 1 \u2013 quy \u0111\u1ed3ng m\u1eabu d\u01b0\u01a1ng: vi\u1ebft hai s\u1ed1 v\u1ec1 d\u1ea1ng ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng m\u1eabu d\u01b0\u01a1ng r\u1ed3i so s\u00e1nh t\u1eed s\u1ed1. T\u1eed l\u1edbn h\u01a1n th\u00ec s\u1ed1 l\u1edbn h\u01a1n.<\/li>\n<li>C\u00e1ch 2 \u2013 \u0111\u1ed5i ra s\u1ed1 th\u1eadp ph\u00e2n: chuy\u1ec3n c\u1ea3 hai s\u1ed1 v\u1ec1 d\u1ea1ng th\u1eadp ph\u00e2n r\u1ed3i so s\u00e1nh nh\u01b0 so s\u00e1nh s\u1ed1 th\u1eadp ph\u00e2n th\u00f4ng th\u01b0\u1eddng.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 1:<\/strong> So s\u00e1nh 2\/3 v\u00e0 3\/4.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: quy \u0111\u1ed3ng v\u1ec1 m\u1eabu chung 12, ta \u0111\u01b0\u1ee3c 2\/3 = 8\/12 v\u00e0 3\/4 = 9\/12.<\/li>\n<li>B\u01b0\u1edbc 2: so s\u00e1nh t\u1eed: 8 &lt; 9 n\u00ean 8\/12 &lt; 9\/12.<\/li>\n<li>K\u1ebft lu\u1eadn: 2\/3 &lt; 3\/4.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 2:<\/strong> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 \u00e2m \u22121\/2 v\u00e0 \u22122\/3.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: quy \u0111\u1ed3ng v\u1ec1 m\u1eabu 6, ta \u0111\u01b0\u1ee3c \u22121\/2 = \u22123\/6 v\u00e0 \u22122\/3 = \u22124\/6.<\/li>\n<li>B\u01b0\u1edbc 2: v\u1edbi s\u1ed1 \u00e2m, t\u1eed c\u00e0ng nh\u1ecf (\u00e2m s\u00e2u h\u01a1n) th\u00ec s\u1ed1 c\u00e0ng nh\u1ecf; v\u00ec \u22123 &gt; \u22124 n\u00ean \u22123\/6 &gt; \u22124\/6.<\/li>\n<li>K\u1ebft lu\u1eadn: \u22121\/2 &gt; \u22122\/3.<\/li>\n<\/ul>\n<h2>B\u1ea3ng so s\u00e1nh s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 s\u1ed1 v\u00f4 t\u1ec9<\/h2>\n<p>S\u1ed1 h\u1eefu t\u1ec9 v\u00e0 s\u1ed1 v\u00f4 t\u1ec9 \u0111\u1ec1u l\u00e0 s\u1ed1 th\u1ef1c, nh\u01b0ng kh\u00e1c nhau \u1edf c\u00e1ch bi\u1ec3u di\u1ec5n th\u1eadp ph\u00e2n. B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y gi\u00fap b\u1ea1n ph\u00e2n bi\u1ec7t nhanh hai lo\u1ea1i s\u1ed1 n\u00e0y.<\/p>\n<table>\n<thead>\n<tr>\n<th>Ti\u00eau ch\u00ed<\/th>\n<th>S\u1ed1 h\u1eefu t\u1ec9 (Q)<\/th>\n<th>S\u1ed1 v\u00f4 t\u1ec9 (I)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>D\u1ea1ng ph\u00e2n s\u1ed1 a\/b<\/td>\n<td>Vi\u1ebft \u0111\u01b0\u1ee3c (a, b nguy\u00ean, b \u2260 0)<\/td>\n<td>Kh\u00f4ng vi\u1ebft \u0111\u01b0\u1ee3c<\/td>\n<\/tr>\n<tr>\n<td>Ph\u1ea7n th\u1eadp ph\u00e2n<\/td>\n<td>H\u1eefu h\u1ea1n ho\u1eb7c v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n<\/td>\n<td>V\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n<\/td>\n<\/tr>\n<tr>\n<td>K\u00fd hi\u1ec7u<\/td>\n<td>Q<\/td>\n<td>I<\/td>\n<\/tr>\n<tr>\n<td>V\u00ed d\u1ee5<\/td>\n<td>1\/2; 0,25; 0,333\u2026; 5<\/td>\n<td>\u03c0; e; \u221a2; \u221a3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>S\u1ed1 h\u1eefu t\u1ec9 v\u00e0 s\u1ed1 v\u00f4 t\u1ec9 h\u1ee3p l\u1ea1i t\u1ea1o th\u00e0nh t\u1eadp s\u1ed1 th\u1ef1c R, t\u1ee9c l\u00e0 Q \u2282 R. N\u1ebfu mu\u1ed1n t\u00ecm hi\u1ec3u s\u00e2u h\u01a1n v\u1ec1 t\u1eadp s\u1ed1 bao tr\u00f9m n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 xem th\u00eam b\u00e0i vi\u1ebft v\u1ec1 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc\/\">s\u1ed1 th\u1ef1c<\/a>.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-cosin\/\">\u0110\u1ecbnh l\u00fd cosin l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c, ch\u1ee9ng minh v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng chi ti\u1ebft<\/a><\/strong><br \/>\n<img decoding=\"async\" class=\"size-full wp-image-569653 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-3.jpg\" alt=\"so-huu-ti-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>\u00c1p d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c tr\u00ean, b\u1ea1n h\u00e3y th\u1eed l\u00e0m v\u00e0 \u0111\u1ed1i chi\u1ebfu v\u1edbi l\u1eddi gi\u1ea3i chi ti\u1ebft d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<p><strong>B\u00e0i 1:<\/strong> S\u1ed1 0,75 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 kh\u00f4ng?<\/p>\n<p><em>L\u1eddi gi\u1ea3i:<\/em> Ta c\u00f3 0,75 = 75\/100 = 3\/4, l\u00e0 ph\u00e2n s\u1ed1 c\u1ee7a hai s\u1ed1 nguy\u00ean v\u1edbi m\u1eabu kh\u00e1c 0. V\u1eady 0,75 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> \u0110\u1ed5i s\u1ed1 th\u1eadp ph\u00e2n 0,4 sang ph\u00e2n s\u1ed1 t\u1ed1i gi\u1ea3n r\u1ed3i cho bi\u1ebft n\u00f3 thu\u1ed9c t\u1eadp s\u1ed1 n\u00e0o.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: 0,4 = 4\/10.<\/li>\n<li>B\u01b0\u1edbc 2: r\u00fat g\u1ecdn: 4\/10 = 2\/5.<\/li>\n<li>K\u1ebft lu\u1eadn: 0,4 = 2\/5 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 (thu\u1ed9c Q).<\/li>\n<\/ul>\n<p><strong>B\u00e0i 3:<\/strong> So s\u00e1nh hai s\u1ed1 h\u1eefu t\u1ec9 5\/6 v\u00e0 7\/9.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: quy \u0111\u1ed3ng v\u1ec1 m\u1eabu 18, ta \u0111\u01b0\u1ee3c 5\/6 = 15\/18 v\u00e0 7\/9 = 14\/18.<\/li>\n<li>B\u01b0\u1edbc 2: so s\u00e1nh t\u1eed: 15 &gt; 14 n\u00ean 15\/18 &gt; 14\/18.<\/li>\n<li>K\u1ebft lu\u1eadn: 5\/6 &gt; 7\/9.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 4 (tr\u1eafc nghi\u1ec7m):<\/strong> T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 g\u00ec? A. N &nbsp; B. Z &nbsp; C. Q &nbsp; D. R.<\/p>\n<p><em>\u0110\u00e1p \u00e1n:<\/em> C. T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 k\u00fd hi\u1ec7u l\u00e0 Q.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569654 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-4.jpg\" alt=\"so-huu-ti-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-huu-ti-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 s\u1ed1 h\u1eefu t\u1ec9<\/h2>\n<h3>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec?<\/h3>\n<p>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 a\/b v\u1edbi a, b l\u00e0 s\u1ed1 nguy\u00ean v\u00e0 b kh\u00e1c 0; t\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 k\u00fd hi\u1ec7u l\u00e0 Q.<\/p>\n<h3>T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 k\u00fd hi\u1ec7u l\u00e0 g\u00ec?<\/h3>\n<p>T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 Q.<\/p>\n<h3>S\u1ed1 nguy\u00ean c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 kh\u00f4ng?<\/h3>\n<p>C\u00f3. M\u1ecdi s\u1ed1 nguy\u00ean a \u0111\u1ec1u vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh a\/1 n\u00ean \u0111\u1ec1u l\u00e0 s\u1ed1 h\u1eefu t\u1ec9.<\/p>\n<h3>S\u1ed1 h\u1eefu t\u1ec9 c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n nh\u01b0 th\u1ebf n\u00e0o?<\/h3>\n<p>S\u1ed1 h\u1eefu t\u1ec9 lu\u00f4n c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n.<\/p>\n<h3>S\u1ed1 0 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 kh\u00f4ng?<\/h3>\n<p>C\u00f3. S\u1ed1 0 vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh 0\/1, n\u00ean l\u00e0 s\u1ed1 h\u1eefu t\u1ec9; tuy nhi\u00ean 0 kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng c\u0169ng kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 \u00e2m.<\/p>\n<h3>S\u1ed1 h\u1eefu t\u1ec9 kh\u00e1c s\u1ed1 v\u00f4 t\u1ec9 \u1edf \u0111i\u1ec3m n\u00e0o?<\/h3>\n<p>S\u1ed1 h\u1eefu t\u1ec9 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng a\/b v\u00e0 c\u00f3 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c tu\u1ea7n ho\u00e0n; s\u1ed1 v\u00f4 t\u1ec9 kh\u00f4ng vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng a\/b v\u00e0 c\u00f3 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n nh\u01b0 \u03c0 hay \u221a2.<\/p>\n<h3>0,333\u2026 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 hay s\u1ed1 v\u00f4 t\u1ec9?<\/h3>\n<p>0,333\u2026 l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 v\u00ec n\u00f3 b\u1eb1ng 1\/3, t\u1ee9c l\u00e0 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 a\/b v\u1edbi a, b l\u00e0 s\u1ed1 nguy\u00ean v\u00e0 b kh\u00e1c 0; t\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 k\u00fd hi\u1ec7u l\u00e0 Q.\"}},{\"@type\":\"Question\",\"name\":\"T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 k\u00fd hi\u1ec7u l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 Q.\"}},{\"@type\":\"Question\",\"name\":\"S\u1ed1 nguy\u00ean c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 kh\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"C\u00f3. 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S\u1ed1 0 vi\u1ebft \u0111\u01b0\u1ee3c th\u00e0nh 0\/1 n\u00ean l\u00e0 s\u1ed1 h\u1eefu t\u1ec9; tuy nhi\u00ean 0 kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u01a1ng c\u0169ng kh\u00f4ng ph\u1ea3i s\u1ed1 h\u1eefu t\u1ec9 \u00e2m.\"}},{\"@type\":\"Question\",\"name\":\"S\u1ed1 h\u1eefu t\u1ec9 kh\u00e1c s\u1ed1 v\u00f4 t\u1ec9 \u1edf \u0111i\u1ec3m n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"S\u1ed1 h\u1eefu t\u1ec9 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng a\/b v\u00e0 c\u00f3 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c tu\u1ea7n ho\u00e0n; s\u1ed1 v\u00f4 t\u1ec9 kh\u00f4ng vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng a\/b v\u00e0 c\u00f3 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n kh\u00f4ng tu\u1ea7n ho\u00e0n nh\u01b0 s\u1ed1 pi hay c\u0103n b\u1eadc hai c\u1ee7a 2.\"}},{\"@type\":\"Question\",\"name\":\"0,333... l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 hay s\u1ed1 v\u00f4 t\u1ec9?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"0,333... l\u00e0 s\u1ed1 h\u1eefu t\u1ec9 v\u00ec n\u00f3 b\u1eb1ng 1\/3, t\u1ee9c l\u00e0 th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n.\"}}]}\n<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, s\u1ed1 h\u1eefu t\u1ec9 l\u00e0 s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 a\/b (b \u2260 0), k\u00fd hi\u1ec7u Q, c\u00f3 th\u1eadp ph\u00e2n h\u1eefu h\u1ea1n ho\u1eb7c v\u00f4 h\u1ea1n tu\u1ea7n ho\u00e0n. N\u1eafm v\u1eefng kh\u00e1i ni\u1ec7m n\u00e0y gi\u00fap b\u1ea1n ph\u00e2n lo\u1ea1i, bi\u1ec3u di\u1ec5n v\u00e0 so s\u00e1nh s\u1ed1 ch\u00ednh x\u00e1c. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-so-nguyen-z-la-gi-giai-ma-toan-dien-ve-z-trong-toan-hoc\/\">t\u1eadp h\u1ee3p s\u1ed1 nguy\u00ean Z l\u00e0 g\u00ec<\/a><\/strong> v\u00e0 <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/a><\/strong> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a <strong>Ho\u00e0ng H\u00e0 Mobile<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 m\u1ed9t trong nh\u1eefng kh\u00e1i ni\u1ec7m n\u1ec1n t\u1ea3ng c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7, xu\u1ea5t hi\u1ec7n trong h\u1ea7u h\u1ebft c\u00e1c b\u00e0i to\u00e1n v\u1ec1 s\u1ed1 v\u00e0 ph\u00e9p t\u00ednh sau n\u00e0y. Hi\u1ec3u \u0111\u00fang s\u1ed1 h\u1eefu t\u1ec9 gi\u00fap b\u1ea1n ph\u00e2n lo\u1ea1i s\u1ed1, so s\u00e1nh gi\u00e1 tr\u1ecb v\u00e0 l\u00e0m quen v\u1edbi t\u1eadp s\u1ed1 th\u1ef1c m\u1ed9t c\u00e1ch [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":569650,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"s\u1ed1 h\u1eefu t\u1ec9","_yoast_wpseo_title":"S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec? V\u00ed d\u1ee5 v\u00e0 c\u00e1ch so s\u00e1nh","_yoast_wpseo_metadesc":"S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec? 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