{"id":1117,"date":"2021-10-08T13:16:31","date_gmt":"2021-10-08T13:16:31","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1117"},"modified":"2021-10-14T22:10:30","modified_gmt":"2021-10-14T15:10:30","slug":"vi-tri-tuong-doi-cua-duong-thang-va-duong-tron-hoc-hinh-toan-9","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/vi-tri-tuong-doi-cua-duong-thang-va-duong-tron-hoc-hinh-toan-9\/","title":{"rendered":"V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n \u2013 H\u1ecdc h\u00ecnh to\u00e1n 9"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi m\u1ed9t ch\u01b0\u01a1ng m\u1edbi v\u1ec1 \u0111\u01b0\u1eddng tr\u00f2n \u1edf h\u00ecnh h\u1ecdc l\u1edbp 9, v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng v\u00f4 c\u00f9ng quan tr\u1ecdng \u0111\u1ec3 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho c\u00e1c b\u00e0i t\u1eadp sau n\u00e0y. B\u00e0i to\u00e1n kh\u00f4ng ch\u1ec9 \u1edf nh\u1eefng d\u1ea1ng l\u1edbp 9 m\u00e0 c\u00f2n xuy\u00ean su\u1ed1t nh\u1eefng n\u0103m h\u1ecdc c\u1ea5p 3 c\u00f9ng v\u1edbi h\u00ecnh kh\u00f4ng gian v\u00e0 thi \u0110\u1ea1i h\u1ecdc. B\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y, Vietlearn s\u1ebd gi\u00fap c\u00e1c b\u1ea1n hi\u1ec3u k\u0129 h\u01a1n v\u1ec1 ph\u1ea7n l\u00fd thuy\u1ebft n\u00e0y v\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp li\u00ean quan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00e1i ni\u1ec7m v\u1ec1 \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 c\u00f3 th\u1ec3 hi\u1ec3u v\u1ec1 c\u00e1c ki\u1ebfn th\u1ee9c s\u00e2u h\u01a1n, ta c\u1ea7n ph\u1ea3i n\u1eafm ch\u1eafc v\u1ec1 nh\u1eefng kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n. Sau \u0111\u00e2y, Vietlearn s\u1ebd gi\u1edbi thi\u1ec7u cho c\u00e1c b\u1ea1n nh\u1eefng \u0111\u1ecbnh ngh\u0129a c\u01a1 b\u1ea3n nh\u1ea5t v\u1ec1 \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n trong h\u00ecnh h\u1ecdc ph\u1eb3ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng th\u1eb3ng l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a, l\u00e0 m\u1ed9t c\u01a1 s\u1edf \u0111\u1ea7u ti\u00ean \u0111\u1ec3 x\u00e2y d\u1ef1ng c\u00e1c kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc kh\u00e1c. \u0110\u01b0\u1eddng th\u1eb3ng c\u00f3 \u0111\u1eb7c \u0111i\u1ec3m l\u00e0 kh\u00f4ng c\u00f3 chi\u1ec1u r\u1ed9ng v\u00e0 kh\u00f4ng cong t\u1ea1i m\u1ecdi \u0111i\u1ec3m. M\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u01b0\u1ee3c xem l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng d\u00e0i, m\u1ecfng, th\u1eb3ng v\u00e0 ch\u1ec9 c\u00f3 m\u1ed9t \u0111\u01b0\u1eddng duy nh\u1ea5t \u0111i qua hai \u0111i\u1ec3m b\u1ea5t k\u00ec.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng tr\u00f2n l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m tr\u00ean c\u00f9ng m\u1ed9t m\u1eb7t ph\u1eb3ng v\u00e0 c\u00e1ch \u0111\u1ec1u t\u00e2m (\u0111i\u1ec3m cho tr\u01b0\u1edbc) m\u1ed9t kho\u1ea3ng c\u00e1ch nh\u1ea5t \u0111\u1ecbnh. \u0110\u01b0\u1eddng tr\u00f2n t\u00e2m O b\u00e1n k\u00ednh R \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0 (O;R).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sau khi \u0111\u00e3 hi\u1ec3u r\u00f5 c\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 hai y\u1ebfu t\u1ed1 ch\u00ednh c\u1ee7a b\u00e0i h\u1ecdc to\u00e1n 9 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n. Vietlearn s\u1ebd ti\u1ebfp t\u1ee5c gi\u1edbi thi\u1ec7u nh\u1eefng <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/a> c\u1ee7a c\u00e1c v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u00fd thuy\u1ebft v\u1ec1 ba lo\u1ea1i v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ba tr\u01b0\u1eddng h\u1ee3p v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 : \u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau t\u1ea1i hai \u0111i\u1ec3m . \u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac vu\u00f4ng g\u00f3c t\u1ea1i m\u1ed9t \u0111i\u1ec3m duy nh\u1ea5t. \u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng giao nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e2y l\u00e0 d\u1ea1ng \u0111\u1ea7u ti\u00ean c\u1ee7a ba v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n. Tr\u01b0\u1eddng h\u1ee3p x\u1ea3y ra khi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng a b\u1ea5t k\u00ec c\u1eaft \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O b\u00e1n k\u00ednh R t\u1ea1i hai \u0111i\u1ec3m chung.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u01b0 v\u1eady ta c\u00f3 th\u1ec3 n\u00f3i, \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n (O;R) c\u1eaft nhau m\u1ed9t kho\u1ea3ng t\u1eeb O k\u1ebb vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng a. G\u1ecdi H l\u00e0 ch\u00e2n \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c v\u00e0 OH l\u00e0 kho\u1ea3ng c\u00e1ch gi\u1eefa t\u00e2m v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau t\u1ea1i m\u1ed9t \u0111i\u1ec3m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1eddng h\u1ee3p m\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n ch\u1ec9 ti\u1ebfp x\u00fac t\u1ea1i 1 \u0111i\u1ec3m chung duy nh\u1ea5t \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111i\u1ec3m C th\u00ec ta c\u00f3 th\u1ec3 n\u00f3i \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n (O;R) ti\u1ebfp x\u00fac v\u1edbi nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng th\u1eb3ng a trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00f3. Kho\u1ea3ng c\u00e1ch OC c\u0169ng \u0111\u01b0\u1ee3c coi l\u00e0 b\u00e1n k\u00ednh c\u1ee7a h\u00ecnh tr\u00f2n (O;R).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f3 m\u1ed9t \u0111\u1ecbnh l\u00fd cho tr\u01b0\u1eddng h\u1ee3p v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n n\u00e0y nh\u01b0 sau: N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng a l\u00e0 \u0111\u01b0\u1eddng ti\u1ebfp tuy\u1ebfn c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n (O;R) th\u00ec \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh R v\u00e0 ti\u1ebfp x\u00fac \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1i ti\u1ebfp \u0111i\u1ec3m C.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng ti\u1ebfp x\u00fac v\u1edbi nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e2y l\u00e0 tr\u01b0\u1eddng h\u1ee3p cu\u1ed1i c\u00f9ng trong ba tr\u01b0\u1eddng h\u1ee3p v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n. L\u00e0 khi m\u00e0 gi\u1eefa hai y\u1ebfu t\u1ed1 \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng h\u1ec1 c\u00f3 m\u1ed9t \u0111i\u1ec3m chung n\u00e0o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 th\u1ee9c cho ba v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb c\u00e1c tr\u01b0\u1eddng h\u1ee3p nh\u01b0 tr\u00ean, c\u00f3 th\u1ec3 r\u00fat ra ki\u1ebfn th\u1ee9c trong b\u1ea3ng sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea3ng h\u1ec7 th\u1ee9c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i t\u1eadp m\u1eabu<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng 1: x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n d\u1ef1a v\u00e0o h\u1ec7 th\u1ee9c n\u00eau tr\u00ean. T\u1eeb \u0111\u00f3, d\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t c\u1ee7a t\u1eebng b\u00e0i t\u1eadp m\u00e0 t\u00ednh theo y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng 2: t\u00ednh to\u00e1n d\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t ti\u1ebfp tuy\u1ebfn. \u0110\u00e2y l\u00e0 d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p v\u00e0 c\u00f3 th\u1ec3 c\u00f3 d\u1ea1ng n\u00e2ng cao. Khi g\u1eb7p \u0111\u1ec1 b\u00e0i to\u00e1n n\u00e0y, th\u01b0\u1eddng c\u00f3 m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 l\u00e0 ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n, sau \u0111\u00f3 k\u1ebb th\u00eam h\u00ecnh v\u00e0 t\u00ednh k\u1ebft qu\u1ea3 c\u00e1c c\u1ea1nh. Th\u01b0\u1eddng \u00e1p d\u1ee5ng th\u00eam \u0111\u1ecbnh l\u00fd Py-ta-go.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng 3: T\u00ecm t\u1eadp h\u1ee3p \u0111i\u1ec3m cho s\u1eb5n theo y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i. D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c, \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c, \u0111\u01b0\u1eddng song song \u0111\u1ec3 ch\u1ee9ng minh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i b\u00e0i t\u1eadp trong tr\u1ee5c t\u1ecda \u0111\u1ed9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ebfu cho m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n (O;R) v\u1edbi R=d. \u0110\u01b0\u1eddng th\u1eb3ng a ch\u1ec9 ti\u1ebfp x\u00fac v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n O khi kho\u1ea3ng c\u00e1ch t\u1eeb O t\u1edbi a b\u1eb1ng v\u1edbi b\u00e1n k\u00ednh R.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u1ee5c tung Oy c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh x=0 n\u00ean \u0111\u01b0\u1eddng tr\u00f2n O ti\u1ebfp x\u00fac Oy khi v\u00e0 ch\u1ec9 khi kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e2m O t\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng a b\u1eb1ng b\u00e1n k\u00ednh R.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u1ee5c ho\u00e0nh Ox c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh y=0 n\u00ean \u0111\u01b0\u1eddng tr\u00f2n O ti\u1ebfp x\u00fac Ox khi v\u00e0 ch\u1ec9 khi kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e2m O t\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng a b\u1eb1ng b\u00e1n k\u00ednh R.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01b0\u1eddng tr\u00f2n O ti\u1ebfp x\u00fac c\u1ea3 2 \u0111\u01b0\u1eddng th\u1eb3ng khi Ox=Oy=R.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng a c\u00f3 d\u1ea1ng : ax + bx + c = 0 v\u1edbi ti\u1ebfp \u0111i\u1ec3m l\u00e0 C(x0;y0). Kho\u1ea3ng c\u00e1ch trong tr\u1ee5c t\u1ecda \u0111\u1ed9 \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi k\u1ebft<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i \u0111\u1ecdc Vietlearn \u0111\u00e3 kh\u00e1i qu\u00e1t cho b\u1ea1n nh\u1eefng <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/a> \u0111\u1ec3 h\u00ecnh th\u00e0nh n\u00ean c\u00e1c tr\u01b0\u1eddng h\u1ee3p t\u01b0\u01a1ng giao gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n. T\u1eeb kh\u00e1i ni\u1ec7m c\u00e1c \u0111\u01b0\u1eddng cho t\u1edbi \u0111\u1eb7c \u0111i\u1ec3m c\u00e1c tr\u01b0\u1eddng h\u1ee3p. Mong r\u1eb1ng qua b\u00e0i vi\u1ebft v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n n\u00e0y s\u1ebd gi\u00fap cho c\u00e1c b\u1ea1n <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 b\u00e0i h\u1ecdc v\u00e0 l\u00e0m t\u1ed1t b\u00e0i t\u1eadp c\u1ee7a m\u00ecnh. Ch\u00fac c\u00e1c b\u1ea1n h\u1ecdc t\u1ed1t!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Li\u00ean h\u1ec7 gi\u1eefa d\u00e2y v\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e2m \u0111\u1ebfn d\u00e2y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ednh ch\u1ea5t c\u1ee7a hai ti\u1ebfp tuy\u1ebfn c\u1eaft nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Li\u00ean h\u1ec7 gi\u1eefa cung v\u00e0 d\u00e2y \u2013 L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb c\u00f9ng Vietlearn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S\u1ef1 x\u00e1c \u0111\u1ecbnh \u0111<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn V\u1edbi m\u1ed9t ch\u01b0\u01a1ng m\u1edbi v\u1ec1 \u0111\u01b0\u1eddng tr\u00f2n \u1edf h\u00ecnh h\u1ecdc l\u1edbp 9, v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng v\u00f4 c\u00f9ng quan tr\u1ecdng \u0111\u1ec3 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho c\u00e1c b\u00e0i t\u1eadp sau n\u00e0y. B\u00e0i to\u00e1n kh\u00f4ng ch\u1ec9 \u1edf nh\u1eefng [&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-1117","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\/1117","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=1117"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1117\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}