{"id":1095,"date":"2021-10-08T13:13:23","date_gmt":"2021-10-08T13:13:23","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1095"},"modified":"2021-10-14T22:10:31","modified_gmt":"2021-10-14T15:10:31","slug":"phep-doi-xung-tam-noi-dung-ly-thuyet-va-cac-dang-bai-tap","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/phep-doi-xung-tam-noi-dung-ly-thuyet-va-cac-dang-bai-tap\/","title":{"rendered":"Ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m \u2013 N\u1ed9i dung l\u00fd thuy\u1ebft v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp"},"content":{"rendered":"\n<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p>M\u1ed9t trong nh\u1eefng b\u00e0i h\u1ecdc c\u00e1c em kh\u00f4ng th\u1ec3 b\u1ecf qua trong To\u00e1n h\u1ecdc l\u1edbp 8 ch\u00ednh l\u00e0 b\u00e0i h\u1ecdc v\u1ec1 ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m. B\u00e0i h\u1ecdc n\u00e0y, Vietlearn s\u1ebd gi\u1edbi thi\u1ec7u \u0111\u1ebfn c\u00e1c em ph\u1ea7n l\u00fd thuy\u1ebft chung v\u00e0 ph\u1ea7n th\u1ef1c h\u00e0nh li\u00ean quan nh\u00e9.<\/p>\n\n\n\n<p>N\u1ed9i dung l\u00fd thuy\u1ebft v\u1ec1 ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m c\u1ea7n ch\u00fa \u00fd<\/p>\n\n\n\n<p>\u0110\u1ec3 h\u1ecdc t\u1ed1t n\u1ed9i dung n\u00e0y, c\u00e1c em c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c c\u00e1c ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft c\u01a1 b\u1ea3n sau \u0111\u00e2y.<\/p>\n\n\n\n<p>\u0110\u1ecbnh ngh\u0129a ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m<\/p>\n\n\n\n<p>Trong l\u00fd thuy\u1ebft v\u1ec1 \u0111\u1ed1i x\u1ee9ng t\u00e2m l\u1edbp 8, vi\u1ec7c \u0111\u01b0a ra \u0111\u1ecbnh ngh\u0129a ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m th\u00f4ng qua vi\u1ec7c \u0111\u1ecbnh ngh\u0129a c\u00e1c ph\u00e9p \u0111\u1ed1i x\u1ee9ng v\u1ec1 \u0111i\u1ec3m, h\u00ecnh \u0111\u1ed1i x\u1ee9ng hay h\u00ecnh c\u00f3 t\u00e2m \u0111\u1ed1i x\u1ee9ng. Song khi h\u1ecdc \u0111\u1ebfn c\u00e1c l\u1edbp cao h\u01a1n, c\u1ee5 th\u1ec3 l\u00e0 l\u1edbp 11, c\u00e1c em s\u1ebd h\u1ecdc v\u1ec1 ph\u00e9p bi\u1ebfn h\u00ecnh trong \u0111\u00f3 c\u00f3 \u0111\u1ed1i x\u1ee9ng t\u00e2m. C\u00e1c \u0111\u1ecbnh ngh\u0129a \u1edf \u0111\u00e2y s\u1ebd r\u00f5 r\u00e0ng h\u01a1n v\u00e0 c\u00f2n c\u00f3 c\u00e1c k\u00fd hi\u1ec7u c\u0169ng nh\u01b0 bi\u1ec3u th\u1ee9c t\u1ecda \u0111\u1ed9.<\/p>\n\n\n\n<p>V\u00ec th\u1ebf, c\u00e1c em n\u00ean hi\u1ec3u \u0111\u01a1n gi\u1ea3n n\u1ebfu ph\u00e9p bi\u1ebfn h\u00ecnh bi\u1ebfn M th\u00e0nh M\u2019 sao cho I l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng MM\u2019 th\u00ec \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m I.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/10\/Hinh-anh-hai-diem-doi-xung-qua-mot-duong-thang.jpg\" alt=\"H\u00ecnh \u1ea3nh hai \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t t\u00e2m\" class=\"wp-image-2292\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Hinh-anh-hai-diem-doi-xung-qua-mot-duong-thang.jpg 600w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Hinh-anh-hai-diem-doi-xung-qua-mot-duong-thang-300x200.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><figcaption><em>H\u00ecnh \u1ea3nh hai \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t t\u00e2m<\/em><\/figcaption><\/figure>\n\n\n\n<p>Trong tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t, M tr\u00f9ng v\u1edbi I th\u00ec bi\u1ebfn h\u00ecnh \u0111\u1ed1i x\u1ee9ng t\u00e2m s\u1ebd bi\u1ebfn I th\u00e0nh ch\u00ednh n\u00f3. I \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00e2m, c\u00f3 k\u00fd hi\u1ec7u l\u00e0 \u0110i<\/p>\n\n\n\n<p>V\u00ec l\u00e0 m\u1ed9t ph\u00e9p d\u1eddi h\u00ecnh, n\u00ean t\u1ea5t c\u1ea3 t\u00ednh ch\u1ea5t c\u1ee7a ph\u00e9p d\u1eddi h\u00ecnh c\u0169ng c\u00f3 \u1edf trong ph\u00e9p n\u00e0y. C\u1ee5 th\u1ec3 \u0111\u00f3 l\u00e0 n\u1ebfu I l\u00e0 t\u00e2m c\u1ee7a h\u00ecnh H ch\u00ednh l\u00e0 \u0111\u1ed1i x\u1ee9ng qua t\u00e2m c\u1ee7a H c\u0169ng ch\u00ednh l\u00e0 H. Hay nh\u01b0 M\u2019 l\u00e0 \u1ea3nh qua ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m I c\u1ee7a M ch\u1ee9ng t\u1ecf M l\u00e0 \u1ea3nh c\u1ee7a M\u2019 c\u1ee7a ph\u00e9p bi\u1ebfn h\u00ecnh \u0111\u1ed1i x\u1ee9ng t\u00e2m I v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/p>\n\n\n\n<p>Hai \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m<\/p>\n\n\n\n<p>Tr\u01b0\u1edbc ti\u00ean, l\u00fd thuy\u1ebft c\u00e1c em c\u1ea7n ph\u1ea3i hi\u1ec3u \u0111\u00f3 ch\u00ednh l\u00e0 hai \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m. N\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u1ed1i x\u1ee9ng nhau qua \u0111i\u1ec3m O n\u1ebfu O l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng n\u1ed1i hai \u0111i\u1ec3m \u0111\u00f3.<\/p>\n\n\n\n<p>Quy \u01b0\u1edbc: \u0110i\u1ec3m \u0111\u1ed1i x\u1ee9ng v\u1edbi O qua \u0111i\u1ec3m O c\u0169ng l\u00e0 O.<\/p>\n\n\n\n<p>H\u00ecnh \u1ea3nh hai \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t t\u00e2m<\/p>\n\n\n\n<p>Hai \u0111i\u1ec3m A v\u00e0 A\u2019 \u0111\u1ed1i x\u1ee9ng nhau qua \u0111i\u1ec3m O. Nh\u01b0 v\u1eady. A, O v\u00e0 A\u2019 th\u1eb3ng h\u00e0ng v\u00e0 OA\u2019=OA.<\/p>\n\n\n\n<p>Hai h\u00ecnh \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m<\/p>\n\n\n\n<p>Hai h\u00ecnh g\u1ecdi l\u00e0 \u0111\u1ed1i x\u1ee9ng v\u1edbi nhau qua \u0111i\u1ec3m O n\u1ebfu m\u1ed7i \u0111i\u1ec3m c\u1ee7a h\u00ecnh n\u00e0y \u0111\u1ed1i x\u1ee9ng v\u1edbi m\u1ed9t \u0111i\u1ec3m thu\u1ed9c h\u00ecnh kia qua \u0111i\u1ec3m O v\u00e0 ng\u01b0\u1ee3c l\u1ea1i. Nh\u01b0 v\u1eady, n\u1ebfu x\u00e9t c\u00e1c \u0111i\u1ec3m A, B, C \u0111\u1ed1i x\u1ee9ng qua O th\u00ec s\u1ebd c\u00f3 A\u2019, B\u2019, C\u2019 l\u00e0 c\u00e1c \u0111\u1ec9nh c\u1ee7a h\u00ecnh tam gi\u00e1c.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/10\/Hai-hinh-doi-xung-qua-mot-diem.jpg\" alt=\"Hai h\u00ecnh \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m\" class=\"wp-image-2293\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Hai-hinh-doi-xung-qua-mot-diem.jpg 600w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Hai-hinh-doi-xung-qua-mot-diem-300x200.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><figcaption> Hai h\u00ecnh \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m <\/figcaption><\/figure>\n\n\n\n<p>Hai h\u00ecnh \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m<\/p>\n\n\n\n<p>T\u1eeb \u0111\u1ecbnh ngh\u0129a tr\u00ean, ch\u00fang ta s\u1ebd th\u1ea5y \u0111\u01b0\u1ee3c n\u1ebfu hai h\u00ecnh \u0111\u1ed1i x\u1ee9ng qua m\u1ed9t \u0111i\u1ec3m th\u00ec c\u00e1c \u0111i\u1ec3m (v\u00ed d\u1ee5 A, B) s\u1ebd c\u00f3 \u0111\u1ea7y \u0111\u1ee7 t\u00ednh ch\u1ea5t nh\u01b0:<\/p>\n\n\n\n<p>AB = A\u2019B\u2019<\/p>\n\n\n\n<p>AB v\u00e0 A\u2019B\u2019 \u0111\u1ed1i x\u1ee9ng v\u1edbi nhau qua O.<\/p>\n\n\n\n<p>M\u1ed9t \u0111i\u1ec3m \u0111\u00e1ng l\u01b0u \u00fd trong \u0111\u1ed1i x\u1ee9ng t\u00e2m to\u00e1n 8 ch\u00ednh l\u00e0 h\u00ecnh \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 \u0111\u01b0\u1eddng tr\u00f2n b\u1eb1ng n\u00f3, c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi n\u00f3, c\u1ee7a m\u1ed9t g\u00f3c l\u00e0 m\u1ed9t g\u00f3c b\u1eb1ng n\u00f3 v\u00e0 m\u1ed9t tam gi\u00e1c c\u0169ng l\u00e0 m\u1ed9t tam gi\u00e1c b\u1eb1ng n\u00f3.<\/p>\n\n\n\n<p>H\u00ecnh c\u00f3 t\u00e2m \u0111\u1ed1i x\u1ee9ng<\/p>\n\n\n\n<p>Nh\u00ecn v\u00e0o th\u1ef1c t\u1ebf, ch\u00fang ta s\u1ebd th\u1ea5y m\u1ed9t v\u00e0i h\u00ecnh c\u00f3 t\u00e2m \u0111\u1ed1i x\u1ee9ng v\u00f4 c\u00f9ng quen thu\u1ed9c trong \u0111\u1eddi s\u1ed1ng h\u1eb1ng ng\u00e0y. V\u00ed d\u1ee5 nh\u01b0 \u0111\u01b0\u1eddng tr\u00f2n (t\u00e2m \u0111\u1ed1i x\u1ee9ng ch\u00ednh l\u00e0 t\u00e2m c\u1ee7a n\u00f3); h\u00ecnh b\u00ecnh h\u00e0nh (t\u00e2m \u0111\u1ed1i x\u1ee9ng l\u00e0 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o). Nh\u01b0 v\u1eady, giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh \u0111\u00f3.<\/p>\n\n\n\n<p>T\u00f3m l\u1ea1i, \u0111i\u1ec3m O \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00ecnh H n\u1ebfu \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng c\u1ee7a m\u1ed7i \u0111i\u1ec3m thu\u1ed9c h\u00ecnh H qua \u0111i\u1ec3m O c\u0169ng thu\u1ed9c h\u00ecnh H.<\/p>\n\n\n\n<p>Nh\u01b0 v\u1eady, ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m qua m\u1ed7i h\u00ecnh, m\u1ed7i \u0111i\u1ec3m s\u1ebd \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a kh\u00e1c nhau. B\u00ean c\u1ea1nh nh\u1eefng \u0111\u1ecbnh ngh\u0129a tr\u00ean, c\u00e1c em c\u00f2n \u0111\u01b0\u1ee3c ti\u1ebfp x\u00fac v\u1edbi kh\u00e1i ni\u1ec7m t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 trong nh\u1eefng b\u00e0i h\u1ecdc \u1edf l\u1edbp cao h\u01a1n.<\/p>\n\n\n\n<p>C\u00e1c d\u1ea1ng b\u00e0i to\u00e1n v\u1ec1 ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m<\/p>\n\n\n\n<p>T\u1eeb l\u00fd thuy\u1ebft \u1edf tr\u00ean, c\u00f3 r\u1ea5t nhi\u1ec1u d\u1ea1ng b\u00e0i t\u1eadp kh\u00e1c nhau \u00e1p d\u1ee5ng ph\u00e9p bi\u1ebfn h\u00ecnh n\u00e0y. C\u00e1c em c\u00f3 th\u1ec3 th\u1ea5y c\u00e1c d\u1ea1ng b\u00e0i sau nh\u00e9.<\/p>\n\n\n\n<p>D\u1ea1ng 1: X\u00e1c \u0111\u1ecbnh \u1ea3nh c\u1ee7a m\u1ed9t h\u00ecnh. \u0110\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c b\u00e0i to\u00e1n n\u00e0y, c\u00e1c em ph\u1ea3i s\u1eed d\u1ee5ng \u0111\u1ebfn bi\u1ec3u th\u1ee9c t\u1ecda \u0111\u1ed9 v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a n\u00f3 \u0111\u1ec3 \u00e1p d\u1ee5ng gi\u1ea3i.<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i d\u1ea1ng to\u00e1n x\u00e1c \u0111\u1ecbnh \u1ea3nh c\u1ee7a m\u1ed9t h\u00ecnh<\/p>\n\n\n\n<p>D\u1ea1ng 2: X\u00e1c \u0111\u1ecbnh t\u00e2m \u0111\u1ed1i x\u1ee9ng khi bi\u1ebft \u1ea3nh v\u00e0 t\u1ea1o \u1ea3nh. N\u00f3 l\u00e0 b\u00e0i c\u0169ng c\u1ea7n \u00e1p d\u1ee5ng v\u1ec1 \u0111\u1ecbnh ngh\u0129a l\u00fd thuy\u1ebft c\u0169ng nh\u01b0 bi\u1ec3u th\u1ee9c t\u1ecda \u0111\u1ed9 \u0111\u1ec3 l\u00e0m to\u00e1n.<\/p>\n\n\n\n<p>D\u1ea1ng 3: T\u00ecm t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a m\u1ed9t h\u00ecnh. \u1ede d\u1ea1ng b\u00e0i n\u00e0y, h\u00e3y \u00e1p d\u1ee5ng \u0111\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh c\u00f3 t\u00e2m \u0111\u1ed1i x\u1ee9ng \u0111\u1ec3 gi\u1ea3i<\/p>\n\n\n\n<p>D\u1ea1ng 4: S\u1eed d\u1ee5ng ph\u00e9p bi\u1ebfn h\u00ecnh \u0111\u1ed1i x\u1ee9ng t\u00e2m \u0111\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n d\u1ef1ng h\u00ecnh. L\u00fac n\u00e0y, ph\u01b0\u01a1ng ph\u00e1p \u00e1p d\u1ee5ng ch\u00ednh l\u00e0 xem \u0111i\u1ec3m c\u1ea7n d\u1ef1ng l\u00e0 giao c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng c\u00f3 s\u1eb5n v\u00e0 \u1ea3nh c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng kh\u00e1c \u0111i qua ph\u00e9p quay \u0110i n\u00e0o \u0111\u00f3.<\/p>\n\n\n\n<p>D\u1ea1ng 5: Gi\u1ea3i b\u00e0i to\u00e1n h\u1ee3p \u0111i\u1ec3m.<\/p>\n\n\n\n<p>C\u00f3 t\u1edbi 5 d\u1ea1ng b\u00e0i \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i c\u00e1c ph\u00e9p bi\u1ebfn h\u00ecnh \u0111\u1ed1i x\u1ee9ng t\u00e2m. V\u00ec th\u1ebf, ph\u1ea7n l\u00fd thuy\u1ebft v\u00f4 c\u00f9ng quan tr\u1ecdng \u0111\u1ec3 gi\u00fap cho c\u00e1c em c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng v\u00e0o t\u1eebng b\u00e0i m\u1ed9t c\u00e1ch nhu\u1ea7n nhuy\u1ec5n.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/10\/Vi-du-ve-phuong-phap-giai-dang-toan-xac-dinh-anh-cua-mot-hinh.jpg\" alt=\"V\u00ed d\u1ee5 v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i d\u1ea1ng to\u00e1n x\u00e1c \u0111\u1ecbnh \u1ea3nh c\u1ee7a m\u1ed9t h\u00ecnh\" class=\"wp-image-2294\" width=\"735\" height=\"490\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Vi-du-ve-phuong-phap-giai-dang-toan-xac-dinh-anh-cua-mot-hinh.jpg 600w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/10\/Vi-du-ve-phuong-phap-giai-dang-toan-xac-dinh-anh-cua-mot-hinh-300x200.jpg 300w\" sizes=\"(max-width: 735px) 100vw, 735px\" \/><figcaption><em>V\u00ed d\u1ee5 v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i d\u1ea1ng to\u00e1n x\u00e1c \u0111\u1ecbnh \u1ea3nh c\u1ee7a m\u1ed9t h\u00ecnh<\/em><\/figcaption><\/figure>\n\n\n\n<p>Nh\u01b0 v\u1eady, ch\u00fang ta \u0111\u00e3 c\u00f9ng nhau tr\u1ea3i qua c\u00e1c l\u00fd thuy\u1ebft c\u1ea7n n\u1eafm v\u1eefng v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh cho n\u1ed9i dung ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m. Ch\u00fac c\u00e1c em th\u00e0nh c\u00f4ng v\u00e0 gi\u1ea3i nh\u1eefng b\u00e0i to\u00e1n t\u01b0\u01a1ng t\u1ef1 m\u1ed9t c\u00e1ch thu\u1ea7n th\u1ee5c.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m ( LT ) - H\u00ecnh 11 - Th\u1ea7y Nguy\u1ec5n C\u00f4ng Ch\u00ednh\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/xY4A05Ko5gk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn M\u1ed9t trong nh\u1eefng b\u00e0i h\u1ecdc c\u00e1c em kh\u00f4ng th\u1ec3 b\u1ecf qua trong To\u00e1n h\u1ecdc l\u1edbp 8 ch\u00ednh l\u00e0 b\u00e0i h\u1ecdc v\u1ec1 ph\u00e9p \u0111\u1ed1i x\u1ee9ng t\u00e2m. B\u00e0i h\u1ecdc n\u00e0y, Vietlearn s\u1ebd gi\u1edbi thi\u1ec7u \u0111\u1ebfn c\u00e1c em ph\u1ea7n l\u00fd thuy\u1ebft chung v\u00e0 ph\u1ea7n th\u1ef1c h\u00e0nh li\u00ean quan nh\u00e9. N\u1ed9i dung l\u00fd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9],"tags":[],"class_list":["post-1095","post","type-post","status-publish","format-standard","hentry","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1095","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=1095"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1095\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1095"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1095"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1095"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}