{"id":1037,"date":"2021-10-08T13:04:59","date_gmt":"2021-10-08T13:04:59","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1037"},"modified":"2021-10-14T22:10:36","modified_gmt":"2021-10-14T15:10:36","slug":"ly-thuyet-cung-chua-goc-cach-giai-cac-dang-bai-tap-thuong-gap","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/ly-thuyet-cung-chua-goc-cach-giai-cac-dang-bai-tap-thuong-gap\/","title":{"rendered":"L\u00fd thuy\u1ebft cung ch\u1ee9a g\u00f3c \u2013 C\u00e1ch gi\u1ea3i c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p"},"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\">Cung ch\u1ee9a g\u00f3c l\u00e0 m\u1ed9t chuy\u00ean \u0111\u1ec1 h\u00ecnh h\u1ecdc n\u1ed5i b\u1eadt trong <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n<\/a> 9. \u0110\u00e2y l\u00e0 chuy\u00ean \u0111\u1ec1 quan tr\u1ecdng, c\u00f3 nhi\u1ec1u li\u00ean quan t\u1edbi c\u00e1c chuy\u00ean \u0111\u1ec1 to\u00e1n h\u1ecdc kh\u00e1c. V\u1eady cung ch\u1ee9a g\u00f3c l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp cho ph\u1ea7n l\u00fd thuy\u1ebft n\u00e0y th\u1ebf n\u00e0o? H\u00e3y c\u00f9ng Vietlearn t\u00ecm hi\u1ec3u chi ti\u1ebft qua b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cung ch\u1ee9a g\u00f3c l\u00e0 m\u1ed9t chuy\u00ean \u0111\u1ec1 h\u00ecnh h\u1ecdc n\u1ed5i b\u1eadt<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u00fd thuy\u1ebft v\u1ec1 cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cung ch\u1ee9a g\u00f3c hay c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c. V\u1eady qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c l\u00e0 g\u00ec v\u00e0 c\u00e1ch v\u1ebd th\u1ebf n\u00e0o?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cung ch\u1ee9a g\u00f3c l\u00e0 m\u1ed9t chuy\u00ean \u0111\u1ec1 h\u00ecnh h\u1ecdc. Trong \u0111\u00f3, qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c \u0111\u01b0\u1ee3c hi\u1ec3u nh\u01b0 sau: cho m\u1ed9t \u0111o\u1ea1n th\u1eb3ng AB bi\u1ebft tr\u01b0\u1edbc v\u00e0 g\u00f3c \u03b1, v\u1edbi \u03b1 l\u00e0 g\u00f3c t\u00f9, l\u1edbn h\u01a1n 0 \u0111\u1ed9 v\u00e0 nh\u1ecf h\u01a1n 180 \u0111\u1ed9. V\u1eady qu\u1ef9 t\u00edch c\u00e1c \u0111i\u1ec3m M th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n: g\u00f3c AMB = \u03b1 l\u00e0 hai cung ch\u1ee9a g\u00f3c \u03b1 tr\u00ean \u0111o\u1ea1n th\u1eb3ng AB.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi m\u1ed9t \u0111o\u1ea1n th\u1eb3ng s\u1ebd c\u00f3 nhi\u1ec1u g\u00f3c AMB th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n, qua \u0111\u00f3 t\u1ea1o th\u00e0nh m\u1ed9t qu\u1ef9 t\u00edch c\u00e1c \u0111i\u1ec3m M. Hai cung ch\u1ee9a g\u00f3c \u03b1 c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB s\u1ebd t\u1ea1o th\u00e0nh 2 cung tr\u00f2n. V\u00e0 hai cung tr\u00f2n n\u00e0y s\u1ebd n\u1eb1m \u0111\u1ed1i x\u1ee9ng nhau th\u00f4ng qua \u0111o\u1ea1n th\u1eb3ng AB. Qu\u1ef9 t\u00edch n\u00e0y c\u0169ng s\u1ebd bao g\u1ed3m c\u1ea3 2 \u0111i\u1ec3m A v\u00e0 B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ngo\u00e0i ra, b\u1ea1n c\u1ea7n l\u01b0u \u00fd, qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c v\u1edbi c\u00e1c \u0111i\u1ec3m M s\u1ebd nh\u00ecn \u0111o\u1ea1n th\u1eb3ng AB d\u01b0\u1edbi m\u1ed9t g\u00f3c 90 \u0111\u1ed9. \u0110\u00e2y ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 \u0111\u01b0\u1eddng k\u00ednh l\u00e0 \u0111o\u1ea1n th\u1eb3ng AB.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Minh h\u1ecda cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch v\u1ebd<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sau khi t\u00ecm hi\u1ec3u v\u1ec1 qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c, ch\u1eafc h\u1eb3n b\u1ea1n \u0111ang th\u1eafc m\u1eafc, v\u1eady l\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 v\u1ebd \u0111\u01b0\u1ee3c cung ch\u1ee9a g\u00f3c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a c\u00e1c \u0111i\u1ec3m M? \u0110\u1ec3 bi\u1ebft c\u00e1ch v\u1ebd qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c n\u00e0y, h\u00e3y c\u00f9ng t\u00ecm hi\u1ec3u b\u00e0i to\u00e1n sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cho \u0111o\u1ea1n th\u1eb3ng AB v\u00e0 g\u00f3c \u03b1 v\u1edbi \u0111i\u1ec1u ki\u1ec7n 0o &lt; \u03b1 &lt; 180o. \u0110\u1ec3 t\u00ecm t\u1eadp h\u1ee3p c\u00e1c \u0111i\u1ec3m M th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n: g\u00f3c AMB = \u03b1, ta c\u1ea7n th\u1ef1c hi\u1ec7n c\u00e1c b\u01b0\u1edbc sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 1: v\u1ebd \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB, \u0111\u01b0\u1eddng trung tr\u1ef1c n\u00e0y g\u1ecdi l\u00e0 d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 2: v\u1ebd t\u1ea1i Ax, trong \u0111\u00f3 tia Ax ti\u1ebfp x\u00fac v\u1edbi AB t\u1ea1i \u0111i\u1ec3m A v\u00e0 t\u1ea1o th\u00e0nh m\u1ed9t g\u00f3c \u03b1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 3: Ti\u1ebfp theo, t\u1ea1i \u0111i\u1ec3m A, v\u1ebd m\u1ed9t tia Ay t\u1ea1o v\u1edbi tia Ax m\u1ed9t g\u00f3c 90 \u0111\u1ed9. K\u00e9o d\u00e0i tia Ay \u0111\u1ec3 ti\u1ebfp x\u00fac v\u1edbi \u0111\u01b0\u1eddng trung tr\u1ef1c d t\u1ea1i \u0111i\u1ec3m O.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 4: v\u1ebd cung AmB v\u1edbi t\u00e2m l\u00e0 \u0111i\u1ec3m O v\u00e0 c\u00f3 b\u00e1n k\u00ednh l\u00e0 \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n OA. H\u00e3y l\u01b0u \u00fd, cung Amb ph\u1ea3i n\u1eb1m \u1edf ph\u00eda m\u1eb7t ph\u1eb3ng b\u1edd l\u00e0 \u0111o\u1ea1n AB v\u00e0 kh\u00f4ng n\u1eb1m c\u00f9ng ph\u00eda v\u1edbi tia Ax.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sau 4 b\u01b0\u1edbc, cung Amb \u1edf tr\u00ean ch\u00ednh l\u00e0 cung ch\u1ee9a g\u00f3c \u03b1 c\u1ea7n t\u00ecm. L\u00fac n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng quan s\u00e1t \u0111\u01b0\u1ee3c t\u1eadp h\u1ee3p \u0111i\u1ec3m M.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch v\u1ebd cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i b\u00e0i to\u00e1n li\u00ean quan<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Th\u00f4ng th\u01b0\u1eddng, c\u00e1c b\u00e0i t\u1eadp v\u1ec1 qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c s\u1ebd y\u00eau c\u1ea7u b\u1ea1n ch\u1ee9ng minh t\u1eadp h\u1ee3p c\u00e1c \u0111i\u1ec3m M th\u1ecfa m\u00e3n t\u00ednh ch\u1ea5t n\u00e0o \u0111\u00f3. Ch\u1eb3ng h\u1ea1n nh\u01b0 t\u1eadp h\u1ee3p \u0111i\u1ec3m M n\u00e0y th\u1ecfa m\u00e3n t\u00ednh ch\u1ea5t T v\u00e0 l\u00e0 m\u1ed9t h\u00ecnh H n\u00e0o \u0111\u00f3. \u0110\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp n\u00e0y, ch\u00fang ta c\u1ea7n th\u1ef1c hi\u1ec7n ch\u1ee9ng minh 2 ph\u1ea7n l\u00e0 ph\u1ea7n thu\u1eadn v\u00e0 ph\u1ea7n \u0111\u1ea3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u1ea7n thu\u1eadn: ch\u1ee9ng minh t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m c\u00f3 t\u00ednh ch\u1ea5t T th\u00ec s\u1ebd thu\u1ed9c h\u00ecnh H.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u1ea7n \u0111\u1ea3o: ch\u1ee9ng minh m\u1ecdi \u0111i\u1ec3m thu\u1ed9c h\u00ecnh H \u0111\u1ec1u c\u00f3 t\u00ednh ch\u1ea5t T.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c \u0111i\u1ec3m th\u1ecfa m\u00e3n c\u1ea3 2 \u0111i\u1ec1u ki\u1ec7n tr\u00ean s\u1ebd thu\u1ed9c qu\u1ef9 t\u00edch \u0111i\u1ec3m M s\u1ebd c\u00f3 t\u00ednh ch\u1ea5t T v\u00e0 t\u1ea1o th\u00e0nh m\u1ed9t h\u00ecnh H.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u01b0u \u00fd: v\u1edbi d\u1ea1ng b\u00e0i t\u1eadp n\u00e0y, b\u1ea1n n\u00ean d\u1ef1 \u0111o\u00e1n tr\u01b0\u1edbc h\u00ecnh H l\u00e0 h\u00ecnh g\u00ec tr\u01b0\u1edbc khi ti\u1ebfn h\u00e0nh ch\u00fang minh hai ph\u1ea7n thu\u1eadn v\u00e0 \u0111\u1ea3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp li\u00ean quan<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 hi\u1ec3u h\u01a1n v\u1ec1 cung ch\u1ee9a g\u00f3c, b\u1ea1n c\u1ea7n l\u00e0m c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp li\u00ean quan t\u1edbi chuy\u00ean \u0111\u1ec1 to\u00e1n h\u1ecdc n\u00e0y. Hi\u1ec7n nay, khi l\u00e0m v\u1ec1 qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c, b\u1ea1n c\u00f3 th\u1ec3 th\u01b0\u1eddng xuy\u00ean g\u1eb7p 3 d\u1ea1ng b\u00e0i t\u1eadp d\u01b0\u1edbi \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng b\u00e0i t\u1eadp qu\u1ef9 t\u00edch l\u00e0 cung ch\u1ee9a g\u00f3c \u03b1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Khi c\u1ea7n t\u00ecm t\u1eadp h\u1ee3p \u0111i\u1ec3m M t\u1ea1o th\u00e0nh cung ch\u1ee9a g\u00f3c \u03b1, b\u1ea1n c\u1ea7n th\u1ef1c hi\u1ec7n 3 b\u01b0\u1edbc d\u01b0\u1edbi \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ecm \u0111o\u1ea1n th\u1eb3ng c\u1ed1 \u0111\u1ecbnh cho tr\u01b0\u1edbc trong h\u00ecnh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ed1i \u0111i\u1ec3m ph\u1ea3i t\u00ecm v\u1edbi 2 \u0111\u1ea7u c\u1ee7a \u0111o\u1ea1n th\u1eb3ng v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c. T\u1eeb \u0111\u00f3 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c g\u00f3c \u03b1 \u0111\u01b0\u1ee3c t\u1ea1o b\u1edfi 2 \u0111o\u1ea1n th\u1eb3ng v\u1eeba n\u1ed1i. G\u00f3c \u03b1 n\u00e0y s\u1ebd kh\u00f4ng \u0111\u1ed5i.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u1eb3ng \u0111\u1ecbnh \u0111i\u1ec3m v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c thu\u1ed9c qu\u1ef9 t\u00edch cung ch\u1ee9a g\u00f3c \u03b1 tr\u00ean \u0111o\u1ea1n th\u1eb3ng c\u1ed1 \u0111\u1ecbnh \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng ch\u1ee9ng minh nhi\u1ec1u \u0111i\u1ec3m c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 ch\u1ee9ng minh nhi\u1ec1u \u0111i\u1ec3m c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n, b\u1ea1n c\u1ea7n ch\u1ee9ng minh c\u00e1c \u0111i\u1ec3m \u0111\u00f3 c\u00f9ng n\u1eb1m tr\u00ean m\u1ed9t n\u1eeda m\u1eb7t ph\u1eb3ng c\u00f3 b\u1edd l\u00e0 \u0111o\u1ea1n th\u1eb3ng AB cho tr\u01b0\u1edbc. \u0110\u1ed3ng th\u1eddi, c\u00e1c \u0111i\u1ec3m n\u00e0y c\u00f9ng nh\u00ecn v\u1ec1 \u0111o\u1ea1n AB d\u01b0\u1edbi m\u1ed9t g\u00f3c \u03b1 kh\u00f4ng \u0111\u1ed5i. \u0110\u00e2y l\u00e0 d\u1ea1ng b\u00e0i t\u1eadp ch\u1ee7 y\u1ebfu khi t\u00ecm hi\u1ec3u v\u1ec1 chuy\u00ean \u0111\u1ec1 cung ch\u1ee9a g\u00f3c. H\u00e3y luy\u1ec7n t\u1eadp nhu\u1ea7n nhuy\u1ec5n \u0111\u1ec3 vi\u1ec7c ch\u1ee9ng minh d\u1ec5 d\u00e0ng h\u01a1n nh\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng b\u00e0i t\u1eadp d\u1ef1ng cung ch\u1ee9a g\u00f3c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 d\u1ef1ng cung ch\u1ee9a g\u00f3c, b\u1ea1n ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng \u0111\u1ea7y \u0111\u1ee7 c\u00e1c b\u01b0\u1edbc v\u1ebd cung ch\u1ee9a g\u00f3c \u0111\u00e3 \u0111\u01b0\u1ee3c gi\u1edbi thi\u1ec7u \u1edf tr\u00ean. \u0110\u00e2y l\u00e0 m\u1ed9t d\u1ea1ng b\u00e0i t\u1eadp kh\u00f4ng kh\u00f3, b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o th\u00eam c\u00e1c b\u00e0i gi\u1ea3ng cung ch\u1ee9a g\u00f3c l\u1edbp 9, luy\u1ec7n t\u1eadp v\u1edbi m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp c\u01a1 b\u1ea3n l\u00e0 \u0111\u00e3 c\u00f3 th\u1ec3 nhanh ch\u00f3ng d\u1ef1ng cung ch\u1ee9a g\u00f3c.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u00ean \u0111\u00e2y l\u00e0 l\u00fd thuy\u1ebft v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp li\u00ean quan t\u1edbi cung ch\u1ee9a g\u00f3c. H\u00e3y l\u01b0u \u00fd th\u1eadt k\u1ef9 chuy\u00ean \u0111\u1ec1 n\u00e0y nh\u00e9. \u0110\u00e2y l\u00e0 m\u1ed9t chuy\u00ean \u0111\u1ec1 kh\u00f4ng kh\u00f3 nh\u01b0ng n\u1ebfu kh\u00f4ng c\u00f3 s\u1ef1 t\u1eadp trung, b\u1ea1n c\u00f3 th\u1ec3 s\u1ebd g\u1eb7p ph\u1ea3i kh\u00f3 kh\u0103n khi ch\u1ee9ng minh, d\u1ef1ng h\u00ecnh. N\u1ebfu c\u00f3 b\u1ea5t c\u1ee9 c\u00e2u h\u1ecfi n\u00e0o, h\u00e3y chia s\u1ebb v\u1edbi Vietlearn nh\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f3c t\u1ea1o b\u1edfi tia ti\u1ebfp tuy\u1ebfn v\u00e0 d\u00e2y cung<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Cung ch\u1ee9a g\u00f3c l\u00e0 m\u1ed9t chuy\u00ean \u0111\u1ec1 h\u00ecnh h\u1ecdc n\u1ed5i b\u1eadt trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n 9. \u0110\u00e2y l\u00e0 chuy\u00ean \u0111\u1ec1 quan tr\u1ecdng, c\u00f3 nhi\u1ec1u li\u00ean quan t\u1edbi c\u00e1c chuy\u00ean \u0111\u1ec1 to\u00e1n h\u1ecdc kh\u00e1c. V\u1eady cung ch\u1ee9a g\u00f3c l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp cho ph\u1ea7n l\u00fd thuy\u1ebft n\u00e0y th\u1ebf [&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-1037","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\/1037","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=1037"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1037\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1037"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1037"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1037"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}