{"id":1127,"date":"2021-10-08T13:18:07","date_gmt":"2021-10-08T13:18:07","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1127"},"modified":"2021-10-14T22:10:29","modified_gmt":"2021-10-14T15:10:29","slug":"bang-luong-giac-kien-thuc-co-ban-va-cach-hoc-thuoc-nhanh-nhat","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/bang-luong-giac-kien-thuc-co-ban-va-cach-hoc-thuoc-nhanh-nhat\/","title":{"rendered":"B\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c \u2013 Ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 c\u00e1ch h\u1ecdc thu\u1ed9c nhanh nh\u1ea5t"},"content":{"rendered":"\n

Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n

Trong to\u00e1n h\u1ecdc th\u00ec c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c r\u1ea5t ph\u1ed5 bi\u1ebfn, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong c\u00e1c k\u1ef3 thi. Ch\u00ednh v\u00ec v\u1eady b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c b\u1eaft bu\u1ed9c c\u1ea7n h\u1ecdc thu\u1ed9c. Qua b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y ch\u00fang t\u00f4i s\u1ebd t\u1ed5ng h\u1ee3p l\u1ea1i cho c\u00e1c b\u1ea1n nh\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/a> v\u00e0 d\u1ec5 v\u1eadn d\u1ee5ng nh\u1ea5t.<\/p>\n\n\n\n

Nh\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/a> v\u1ec1 b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

B\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c c\u1ef1c k\u1ef3 quan tr\u1ecdng c\u1ee7a m\u00f4n to\u00e1n. B\u1ea1n c\u1ea7n ph\u1ea3i n\u1eafm v\u1eefng \u0111\u01b0\u1ee3c nh\u1eefng ki\u1ebfn th\u1ee9c c\u1ee7a b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u1edbp 9 th\u00ec m\u1edbi c\u00f3 th\u1ec3 v\u1eadn d\u1ee5ng \u0111\u01b0\u1ee3c t\u1ed1t v\u00e0o b\u00e0i t\u1eadp.<\/p>\n\n\n\n

Th\u1ebf n\u00e0o l\u00e0 l\u01b0\u1ee3ng gi\u00e1c?<\/p>\n\n\n\n

L\u01b0\u1ee3ng gi\u00e1c l\u00e0 m\u1ed9t nh\u00e1nh c\u1ee7a to\u00e1n h\u1ecdc s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ecm hi\u1ec3u v\u1ec1 s\u1ef1 li\u00ean k\u1ebft gi\u1eefa c\u1ea1nh c\u1ee7a h\u00ecnh tam gi\u00e1c v\u00e0 nh\u1eefng g\u00f3c \u0111\u1ed9 c\u1ee7a ch\u00fang. L\u01b0\u1ee3ng gi\u00e1c s\u1ebd ch\u1ec9 ra h\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c. H\u00e0m s\u1ed1 c\u1ee7a l\u01b0\u1ee3ng gi\u00e1c s\u1ebd di\u1ec5n t\u1ea3 \u0111\u01b0\u1ee3c nh\u1eefng m\u1ed1i li\u00ean k\u1ebft v\u00e0 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c ch\u00fang v\u00e0o \u0111\u1ec3 h\u1ecdc hi\u1ec7n t\u01b0\u1ee3ng c\u00f3 chu k\u1ef3, v\u00ed d\u1ee5 nh\u01b0 s\u00f3ng \u00e2m.<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

Nh\u00e1nh to\u00e1n n\u00e0y \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn t\u1eeb th\u1ebf k\u1ef7 3 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean. Ban \u0111\u1ea7u ch\u00fang l\u00e0 hai nh\u00e1nh to\u00e1n c\u1ee7a h\u00ecnh h\u1ecdc \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 nghi\u00ean c\u1ee9u ch\u1ee7 y\u1ebfu thi\u00ean v\u0103n. Ng\u00e0y nay, l\u01b0\u1ee3ng gi\u00e1c c\u0169ng l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ec1n m\u00f3ng \u0111\u1ec3 ph\u00e1t tri\u1ec3n ng\u00e0nh ngh\u1ec7 thu\u1eadt \u1ee9ng d\u1ee5ng tr\u1eafc \u0111\u1ecba.<\/p>\n\n\n\n

C\u00e1c c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c c\u1ea7n nh\u1edb<\/p>\n\n\n\n

K\u00fd hi\u1ec7u c\u01a1 b\u1ea3n c\u1ee7a b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0: sin, cos, tan, cot. 4 \u0111\u1ea1i l\u01b0\u1ee3ng n\u00e0y \u0111\u1ec1u c\u00f3 m\u1ed9t m\u1ed1i li\u00ean h\u1ec7 m\u1eadt thi\u1ebft v\u1edbi nhau. D\u1ef1a v\u00e0o nh\u1eefng \u0111\u1ecbnh l\u00fd \u0111\u00e3 ch\u1ee9ng minh \u0111\u01b0\u1ee3c th\u00ec b\u1ea1n \u1ee9ng d\u1ee5ng lu\u00f4n nh\u1eefng c\u00f4ng th\u1ee9c v\u1ec1 l\u01b0\u1ee3ng gi\u00e1c \u0111\u1ec3 l\u00e0m b\u00e0i t\u1eadp. Ngo\u00e0i ra th\u00ec b\u1ea3ng gi\u00e1 tr\u1ecb l\u01b0\u1ee3ng gi\u00e1c t\u1eeb 0 \u0111\u1ebfn 360 \u0111\u1ed9 c\u0169ng \u0111\u01b0\u1ee3c c\u00e1c b\u1ea1n s\u1eed d\u1ee5ng nhi\u1ec1u \u1edf qu\u00e1 tr\u00ecnh h\u1ecdc. Khi \u0111\u00e3 \u00e1p d\u1ee5ng \u0111\u00fang c\u00f4ng th\u1ee9c th\u00ec b\u1ea1n s\u1ebd t\u00ecm ra \u0111\u01b0\u1ee3c l\u1eddi gi\u1ea3i c\u1ee7a nh\u1eefng b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian ho\u1ea1t h\u00ecnh ph\u1eb3ng theo \u0111\u00fang h\u01b0\u1edbng.<\/p>\n\n\n\n

M\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n:<\/p>\n\n\n\n

Gi\u00e1 tr\u1ecb l\u01b0\u1ee3ng gi\u00e1c c\u00e1c cung li\u00ean quan \u0111\u1eb7c bi\u1ec7t<\/p>\n\n\n\n

B\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c c\u00e1c cung \u0111\u1eb7c bi\u1ec7t<\/p>\n\n\n\n

C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<\/p>\n\n\n\n

C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<\/p>\n\n\n\n

C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c n\u00e2ng cao<\/p>\n\n\n\n

H\u00e0m l\u01b0\u1ee3ng gi\u00e1c n\u00e2ng cao<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c nghi\u1ec7m ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

Ph\u01b0\u01a1ng ph\u00e1p gi\u00fap ghi nh\u1edb nh\u1eefng c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

Khi ch\u00fang ta h\u1ecdc v\u1ec1 b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u1edbp 9 c\u1ea7n \u00e1p d\u1ee5ng m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ec3 c\u00f3 th\u1ec3 d\u1ec5 nh\u1edb h\u01a1n.<\/p>\n\n\n\n

D\u00f9ng th\u01a1 \u0111\u1ec3 h\u1ecdc c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

B\u1edfi nh\u1eefng c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c kh\u00e1 l\u00e0 gi\u1ed1ng nhau n\u00ean c\u00f3 th\u1ec3 d\u1ec5 nh\u1ea7m l\u1eabn, v\u00ec v\u1eady, \u0111\u1ec3 c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng ghi nh\u1edb, b\u1ea1n c\u00f3 th\u1ec3 d\u00f9ng nh\u1eefng b\u00e0i th\u01a1 v\u1ea7n v\u1edbi nhau \u0111\u1ec3 h\u1ecdc thu\u1ed9c. Nh\u1eefng b\u00e0i th\u01a1 n\u00e0y c\u0169ng \u0111\u00e3 \u0111\u01b0\u1ee3c r\u1ea5t nhi\u1ec1u th\u1ebf h\u1ec7 h\u1ecdc sinh<\/a> \u00e1p d\u1ee5ng ph\u1ed5 bi\u1ebfn.<\/p>\n\n\n\n

C\u00e1ch h\u1ecdc qua th\u01a1 s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 h\u1ecdc h\u01a1n, nh\u1edb nhanh h\u01a1n v\u00e0 h\u1ea1n ch\u1ebf \u0111\u01b0\u1ee3c nh\u1ea7m l\u1eabn. Th\u01a1 l\u00e0 v\u1ea7n \u0111i\u1ec7u n\u00ean r\u1ea5t d\u1ec5 thu\u1ed9c, ch\u00fang s\u1ebd gi\u00fap cho m\u00f4n to\u00e1n tr\u1edf n\u00ean d\u1ec5 h\u1ecdc, \u0111\u1ee1 kh\u00f4 khan v\u00e0 th\u00eam ph\u1ea7n h\u1ee9ng th\u00fa.<\/p>\n\n\n\n

D\u00f9ng th\u01a1 \u0111\u1ec3 h\u1ecdc to\u00e1n kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed9t c\u00e1ch h\u1ecdc m\u1edbi, m\u00e0 \u0111\u00e2y \u0111\u01b0\u1ee3c coi l\u00e0 c\u00e1ch h\u1ecdc d\u1ec5 v\u00e0 \u0111\u01b0\u1ee3c nhi\u1ec1u th\u1ea7y c\u00f4 d\u00f9ng nh\u1ea5t. Khi \u0111\u00e3 hi\u1ec3u \u0111\u01b0\u1ee3c b\u1ea3n ch\u1ea5t c\u1ee7a v\u1ea5n \u0111\u1ec1 th\u00ec th\u01a1 s\u1ebd gi\u00fap b\u1ea1n h\u1ecdc nhanh v\u00e0 d\u1ec5 nh\u1ea5t.<\/p>\n\n\n\n

M\u1ed9t s\u1ed1 b\u00e0i th\u01a1 v\u1ea7n \u0111\u1ec3 h\u1ecdc c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c:<\/p>\n\n\n\n

Sin b\u00f9, Cos \u0111\u1ed1i,Tan Pi,<\/p>\n\n\n\n

Ph\u1ee5 nhau Sin Cos, \u1eaft th\u00ec ph\u00e2n chia<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c c\u1ed9ng<\/p>\n\n\n\n

Cos c\u1ed9ng cos b\u1eb1ng hai cos cos<\/p>\n\n\n\n

cos tr\u1eeb cos b\u1eb1ng tr\u1eeb hai sin sin<\/p>\n\n\n\n

Sin c\u1ed9ng sin b\u1eb1ng hai sin cos<\/p>\n\n\n\n

sin tr\u1eeb sin b\u1eb1ng hai cos sin.<\/p>\n\n\n\n

Sin th\u00ec sin cos cos sin<\/p>\n\n\n\n

Cos th\u00ec cos cos sin sin d\u1ea5u tr\u1eeb<\/p>\n\n\n\n

Tang t\u1ed5ng th\u00ec l\u1ea5y t\u1ed5ng tang<\/p>\n\n\n\n

Chia m\u1ed9t tr\u1eeb v\u1edbi t\u00edch tang, d\u1ec5 \u00f2m.<\/p>\n\n\n\n

Bi\u1ebfn \u0111\u1ed5i t\u1ed5ng th\u00e0nh t\u00edch trong l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c nh\u00e2n 3:<\/p>\n\n\n\n

Nh\u00e2n ba m\u1ed9t g\u00f3c b\u1ea5t k\u1ef3,<\/p>\n\n\n\n

sin th\u00ec ba b\u1ed1n, cos th\u00ec b\u1ed1n ba,<\/p>\n\n\n\n

d\u1ea5u tr\u1eeb \u0111\u1eb7t gi\u1eefa hai ta,<\/p>\n\n\n\n

l\u1eadp ph\u01b0\u01a1ng ch\u1ed7 b\u1ed1n, th\u1ebf l\u00e0 ok.<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c g\u1ea5p \u0111\u00f4i:<\/p>\n\n\n\n

Sin g\u1ea5p \u0111\u00f4i = 2 sin cos<\/p>\n\n\n\n

Cos g\u1ea5p \u0111\u00f4i = b\u00ecnh cos tr\u1eeb b\u00ecnh sin = tr\u1eeb 1 c\u1ed9ng hai l\u1ea7n b\u00ecnh cos = c\u1ed9ng 1 tr\u1eeb hai l\u1ea7n b\u00ecnh sin.<\/p>\n\n\n\n

Tang g\u1ea5p \u0111\u00f4i<\/p>\n\n\n\n

Tang \u0111\u00f4i ta l\u1ea5y 2 tang<\/p>\n\n\n\n

Chia 1 tr\u1eeb l\u1ea1i b\u00ecnh tang, ra li\u1ec1n.<\/p>\n\n\n\n

C\u00e1ch nh\u1edb c\u00f4ng th\u1ee9c: tan(a+b)=(tan+tanb)\/1-tana.tanb l\u00e0<\/p>\n\n\n\n

tan m\u1ed9t t\u1ed5ng hai t\u1ea7ng cao r\u1ed9ng<\/p>\n\n\n\n

tr\u00ean th\u01b0\u1ee3ng t\u1ea7ng tan c\u1ed9ng tan tan<\/p>\n\n\n\n

d\u01b0\u1edbi h\u1ea1 t\u1ea7ng s\u1ed1 1 ngang t\u00e0ng<\/p>\n\n\n\n

d\u00e1m tr\u1eeb m\u1ed9t t\u00edch tan tan oai h\u00f9ng<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c bi\u1ebfn t\u00edch th\u00e0nh t\u1ed5ng:<\/p>\n\n\n\n

Cos cos n\u1eeda cos-c\u1ed9ng, c\u1ed9ng cos-tr\u1eeb<\/p>\n\n\n\n

Sin sin n\u1eeda cos-tr\u1eeb tr\u1eeb cos-c\u1ed9ng<\/p>\n\n\n\n

Sin cos n\u1eeda sin-c\u1ed9ng c\u1ed9ng sin-tr\u1eeb<\/p>\n\n\n\n

C\u00f4ng th\u1ee9c bi\u1ebfn t\u1ed5ng th\u00e0nh t\u00edch:<\/p>\n\n\n\n

sin t\u1ed5ng l\u1eadp t\u1ed5ng sin c\u00f4<\/p>\n\n\n\n

c\u00f4 t\u1ed5ng l\u1eadp hi\u1ec7u \u0111\u00f4i c\u00f4 \u0111\u00f4i ch\u00e0ng<\/p>\n\n\n\n

tan t\u1ed5ng l\u1eadp t\u1ed5ng hai tan<\/p>\n\n\n\n

m\u1ed9t tr\u1eeb tan t\u00edch m\u1eabu mang th\u01b0\u01a1ng s\u1ea7u<\/p>\n\n\n\n

g\u1eb7p hi\u1ec7u ta ch\u1edb lo \u00e2u,<\/p>\n\n\n\n

\u0111\u1ed5i tr\u1eeb th\u00e0nh c\u1ed9ng ghi s\u00e2u v\u00e0o l\u00f2ng<\/p>\n\n\n\n

Th\u01b0\u1eddng xuy\u00ean l\u00e0m b\u00e0i t\u1eadp v\u1ec1 b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c<\/p>\n\n\n\n

M\u00f4n to\u00e1n \u0111\u00f2i h\u1ecfi c\u00e1c b\u1ea1n c\u1ea7n hi\u1ec3u v\u1ec1 b\u1ea3n ch\u1ea5t v\u1ea5n \u0111\u1ec1. N\u1ebfu nh\u01b0 b\u1ea1n kh\u00f4ng \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c v\u00e0o b\u00e0i t\u1eadp th\u00ec s\u1ebd g\u1eb7p nhi\u1ec1u kh\u00f3 kh\u0103n. H\u01a1n n\u1eefa, b\u00e0i t\u1eadp v\u1ec1 l\u01b0\u1ee3ng gi\u00e1c r\u1ea5t \u0111a d\u1ea1ng v\u00ec v\u1eady, n\u1ebfu kh\u00f4ng th\u01b0\u1eddng xuy\u00ean t\u1eadp luy\u1ec7n th\u00ec b\u1ea1n s\u1ebd r\u1ea5t kh\u00f3 \u0111\u1ec3 ghi nh\u1edb v\u00e0 gi\u1ea3i \u0111\u01b0\u1ee3c nh\u1eefng b\u00e0i t\u1eadp v\u1ec1 l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n\n\n\n

N\u1eafm ch\u1eafc l\u00fd thuy\u1ebft<\/p>\n\n\n\n

C\u00e1c b\u1ea1n c\u1ea7n ho\u00e0n th\u00e0nh h\u1ebft nh\u1eefng d\u1ea1ng b\u00e0i t\u1eadp \u1edf s\u00e1ch gi\u00e1o khoa c\u00f9ng v\u1edbi s\u00e1ch b\u00e0i t\u1eadp. Khi \u0111\u00e3 n\u1eafm ch\u1eafc \u0111\u01b0\u1ee3c nh\u1eefng c\u00f4ng th\u1ee9c v\u1ec1 l\u01b0\u1ee3ng gi\u00e1c m\u1ed9t c\u00e1ch nhu\u1ea7n nhuy\u1ec5n th\u00ec h\u00e3y chuy\u1ec3n \u0111\u1ebfn nh\u1eefng b\u00e0i t\u1eadp n\u00e2ng cao \u0111\u1ec3 c\u00f3 th\u1ec3 \u00f4n luy\u1ec7n.<\/p>\n\n\n\n

H\u1ecdc to\u00e1n hay h\u1ecdc c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c ch\u00fang ta c\u1ea7n ph\u1ea3i c\u00f3 m\u1ed9t qu\u00e1 tr\u00ecnh r\u00e8n luy\u1ec7n. l\u01b0\u1ee3ng gi\u00e1c l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn r\u1ea5t nhi\u1ec1u ki\u1ebfn th\u1ee9c \u1edf trong h\u00ecnh h\u1ecdc v\u00e0 \u0111\u1ea1i s\u1ed1 nh\u01b0 s\u1ed1 ph\u1ee9c b\u1eb1ng l\u01b0\u1ee3ng gi\u00e1c, nguy\u00ean h\u00e0m l\u01b0\u1ee3ng gi\u00e1c, \u0111\u00f4 th\u1ecb l\u01b0\u1ee3ng gi\u00e1c, t\u00edch ph\u00e2n. V\u00ec th\u1ebf b\u1ea1n c\u1ea7n n\u1eafm v\u1eefng \u0111\u01b0\u1ee3c ki\u1ebfn th\u1ee9c n\u00e0y th\u00ec m\u1edbi c\u00f3 th\u1ec3 v\u1eadn d\u1ee5ng \u0111\u01b0\u1ee3c m\u1ed9t c\u00e1ch nhanh nh\u1ea5t v\u00e0o t\u1ea5t c\u1ea3 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp.<\/p>\n\n\n\n

B\u00e0i vi\u1ebft tr\u00ean \u0111\u00e2y l\u00e0 nh\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/a> v\u00e0 n\u00e2ng cao v\u1ec1 b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c c\u0169ng nh\u01b0 c\u00e1ch th\u1ee9c l\u00e0m sao \u0111\u1ec3 h\u1ecdc thu\u1ed9c l\u01b0\u1ee3ng gi\u00e1c m\u1ed9t c\u00e1ch nhanh nh\u1ea5t. N\u1ebfu b\u1ea1n c\u00f2n c\u00f3 c\u00e2u h\u1ecfi g\u00ec c\u1ea7n gi\u1ea3i \u0111\u00e1p hay mu\u1ed1n \u0111\u0103ng k\u00fd tham gia c\u00e1c kh\u00f3a h\u1ecdc th\u00ec c\u00f3 th\u1ec3 li\u00ean h\u1ec7 tr\u1ef1c ti\u1ebfp v\u1edbi ch\u00fang t\u00f4i th\u00f4ng qua s\u1ed1 Hotline: +84 96-6989-538 ho\u1eb7c t\u1ea1i \u0111\u1ecba ch\u1ec9 website: Vietlearn.org\/ \u0111\u1ec3 \u0111\u01b0\u1ee3c gi\u1ea3i \u0111\u00e1p m\u1ed9t c\u00e1ch t\u1eadn t\u00ecnh, chu \u0111\u00e1o nh\u1ea5t.<\/p>\n\n\n\n

<\/p><\/blockquote>\n\n\n\n

T\u1ec9 s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a g\u00f3c nh\u1ecdn \u2013 H\u1ecdc t\u1ed1t to\u00e1n h\u00ecnh c\u00f9ng Vietlearn<\/p>\n\n\n\n

S\u1ef1 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1eddng tr\u00f2n t\u00ednh ch\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"

Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Trong to\u00e1n h\u1ecdc th\u00ec c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c r\u1ea5t ph\u1ed5 bi\u1ebfn, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong c\u00e1c k\u1ef3 thi. Ch\u00ednh v\u00ec v\u1eady b\u1ea3ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c b\u1eaft bu\u1ed9c c\u1ea7n h\u1ecdc thu\u1ed9c. Qua b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y ch\u00fang t\u00f4i s\u1ebd t\u1ed5ng h\u1ee3p l\u1ea1i cho c\u00e1c b\u1ea1n […]<\/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-1127","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\/1127","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=1127"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1127\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}