ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 9<\/a>, c\u00e1c em s\u1ebd g\u1eb7p m\u1ed9t b\u00e0i h\u1ecdc v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n. B\u00e0i h\u1ecdc n\u00e0y v\u00f4 c\u00f9ng quan tr\u1ecdng kh\u00f4ng ch\u1ec9 \u1edf trong ch\u01b0\u01a1ng h\u1ecdc c\u1ee7a l\u1edbp 9 m\u00e0 c\u00f2n trong c\u00e1c b\u00e0i thi chuy\u1ec3n c\u1ea5p. Ch\u00ednh v\u00ec th\u1ebf, h\u00f4m nay Vietlearn s\u1ebd gi\u1edbi thi\u1ec7u cho c\u00e1c em l\u00fd thuy\u1ebft v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p, h\u01b0\u1edbng d\u1eabn c\u00e1ch l\u00e0m qua \u0111\u00f3 gi\u00fap c\u00e1c em qua m\u00f4n v\u00e0 v\u01b0\u1ee3t c\u1ea5p d\u1ec5 d\u00e0ng h\u01a1n nh\u00e9.<\/p>\n\n\n\n\u0110\u01b0\u1eddng n\u1ed1i t\u00e2m<\/p>\n\n\n\n
Tr\u01b0\u1edbc ti\u00ean, ch\u00fang ta s\u1ebd xem \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m l\u00e0 \u0111\u01b0\u1eddng nh\u01b0 th\u1ebf n\u00e0o. C\u00f9ng x\u00e9t hai \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 t\u00e2m kh\u00f4ng tr\u00f9ng nhau, trong \u0111\u00f3 O l\u00e0 t\u00e2m c\u1ee7a h\u00ecnh tr\u00f2n s\u1ed1 1 v\u00e0 O\u2019 l\u00e0 t\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n s\u1ed1 2. \u0110\u01b0\u1eddng n\u1ed1i t\u00e2m ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng gi\u1eefa t\u00e2m O v\u00e0 t\u00e2m O\u2019. V\u00e0 \u0111o\u1ea1n n\u1ed1i t\u00e2m ch\u00ednh l\u00e0 \u0111o\u1ea1n OO\u2019.<\/p>\n\n\n\n
H\u01a1n th\u1ebf n\u1eefa, \u0111\u01b0\u1eddng k\u00ednh l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng tr\u00f2n n\u00ean \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m c\u0169ng ch\u00ednh l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00ecnh g\u1ed3m hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00f3<\/p>\n\n\n\n
Ba v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n
Khi x\u00e9t v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n (O;R) v\u00e0 (O\u2019, r) R>r; ch\u00fang ta t\u00ecm th\u1ea5y ba v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i nh\u01b0 sau:<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau<\/p>\n\n\n\n
\u0110\u00e2y l\u00e0 v\u1ecb tr\u00ed \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c nh\u1eafc \u0111\u1ebfn khi n\u00f3i v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a 2 h\u00ecnh tr\u00f2n.<\/p>\n\n\n\n
H\u00ecnh \u1ea3nh hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau khi c\u00f3 hai \u0111i\u1ec3m chung. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y A v\u00e0 B l\u00e0 hai giao \u0111i\u1ec3m, \u0111o\u1ea1n th\u1eb3ng AB l\u00e0 d\u00e2y chung, O1, O2 l\u00e0 \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m, \u0111o\u1ea1n th\u1eb3ng O1O2 l\u00e0 \u0111o\u1ea1n n\u1ed1i t\u00e2m. Khi \u0111\u1eb7t O1A = R; O2A = r khi \u0111\u00f3: |R \u2013 r| < O1O2 < R + r.<\/p>\n\n\n\n
C\u0169ng theo t\u00ednh ch\u1ea5t c\u1ee7a v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i n\u00eau \u1edf tr\u00ean, \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ee5c c\u1ee7a d\u00e2y chung.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau<\/p>\n\n\n\n
M\u1ed9t v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i kh\u00e1c ch\u00ednh l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, c\u00f3 th\u1ec3 v\u1ebd th\u00e0nh 2 tr\u01b0\u1eddng h\u1ee3p. M\u1ed9t tr\u01b0\u1eddng h\u1ee3p ch\u00ednh l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng thu\u1ed9c nhau v\u00e0 c\u00f3 ti\u1ebfp x\u00fac t\u1ea1i 1 \u0111i\u1ec3m. Tr\u01b0\u1eddng h\u1ee3p th\u1ee9 hai ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng tr\u00f2n (O2,r) thu\u1ed9c \u0111\u01b0\u1eddng tr\u00f2n (O1,R) v\u00e0 c\u00f3 ti\u1ebfp x\u00fac t\u1ea1i 1 \u0111i\u1ec3m A.<\/p>\n\n\n\n
H\u00ecnh \u1ea3nh v\u1ec1 hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau<\/p>\n\n\n\n
Nh\u01b0 v\u1eady, hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau khi n\u00f3 c\u00f3 1 \u0111i\u1ec3m chung duy nh\u1ea5t. Khi \u0111\u00f3, A \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ti\u1ebfp \u0111i\u1ec3m. V\u00e0 hai tr\u01b0\u1eddng h\u1ee3p \u1edf tr\u00ean \u0111\u01b0\u1ee3c g\u1ecdi nh\u01b0 sau: tr\u01b0\u1eddng h\u1ee3p 1 l\u00e0 ti\u1ebfp x\u00fac ngo\u00e0i t\u1ea1i A: O1O2 = R + r v\u00e0 ti\u1ebfp x\u00fac trong t\u1ea1i A: O1O2 = |R \u2013 r|.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng giao nhau<\/p>\n\n\n\n
H\u00ecnh \u1ea3nh hai \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng giao nhau trong v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n
V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i th\u1ee9 ba c\u00f3 th\u1ec3 g\u1eb7p ch\u00ednh l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng h\u1ec1 giao nhau, t\u1ee9c l\u00e0 kh\u00f4ng c\u00f3 b\u1ea5t k\u1ef3 m\u1ed9t \u0111i\u1ec3m chung n\u00e0o.<\/p>\n\n\n\n
C\u00f3 3 tr\u01b0\u1eddng h\u1ee3p x\u1ea3y ra, ho\u1eb7c l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n ngo\u00e0i nhau: O1O2 > R + r; ho\u1eb7c l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u1ef1ng nhau: O1O2 < |R \u2013 r|; ho\u1eb7c l\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u1ed3ng t\u00e2m O1O2 = 0.<\/p>\n\n\n\n
Ba 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
T\u01b0\u01a1ng t\u1ef1 nh\u01b0 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n, 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 c\u0169ng c\u00f3 3 v\u1ecb tr\u00ed nh\u01b0 sau:<\/p>\n\n\n\n
\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau: X\u1ea3y ra khi \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 2 \u0111i\u1ec3m chung v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n. L\u00fac n\u00e0y, \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft \u0111\u01b0\u1eddng tr\u00f2n \u1edf 2 v\u1ecb \u0111i\u1ec3m ph\u00e2n bi\u1ec7t<\/p>\n\n\n\n
H\u00ecnh \u1ea3nh \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau<\/p>\n\n\n\n
\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau: x\u1ea3y ra khi \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 m\u1ed9t \u0111i\u1ec3m chung v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n.<\/p>\n\n\n\n
\u0110\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng giao nhau: l\u00fac n\u00e0y, \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n kh\u00f4ng c\u00f3 \u0111i\u1ec3m chung. Khi \u0111\u00f3 OH>R.<\/p>\n\n\n\n
Ti\u1ebfp tuy\u1ebfn chung c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n
M\u1ed9t n\u1ed9i dung ti\u1ebfp theo trong b\u00e0i h\u1ecdc v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n ch\u00ednh l\u00e0 hi\u1ec3u v\u1ec1 \u0111\u1ecbnh ngh\u0129a c\u1ee7a ti\u1ebfp tuy\u1ebfn chung c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n. \u1ede \u0111\u00e2y c\u00f3 th\u1ec3 hi\u1ec3u l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng ti\u1ebfp x\u00fac v\u1edbi c\u1ea3 hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00f3.<\/p>\n\n\n\n
Ti\u1ebfp tuy\u1ebfn chung trong l\u00e0 ti\u1ebfp tuy\u1ebfn chung c\u1eaft \u0111o\u1ea1n n\u1ed1i t\u00e2m. Ti\u1ebfp tuy\u1ebfn chung ngo\u00e0i l\u00e0 ti\u1ebfp tuy\u1ebfn chung kh\u00f4ng c\u1eaft \u0111o\u1ea1n n\u1ed1i t\u00e2m.<\/p>\n\n\n\n
S\u1ed1 ti\u1ebfp tuy\u1ebfn chung c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n \u1edf m\u1ed9t s\u1ed1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i nh\u01b0 sau:<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau: 2 ti\u1ebfp tuy\u1ebfn chung ngo\u00e0i.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac ngo\u00e0i: 2 ti\u1ebfp tuy\u1ebfn chung ngo\u00e0i v\u00e0 1 ti\u1ebfp tuy\u1ebfn chung trong.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac trong: 1 ti\u1ebfp tuy\u1ebfn chung.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n \u1edf ngo\u00e0i nhau: 2 ti\u1ebfp tuy\u1ebfn chung ngo\u00e0i v\u00e0 2 ti\u1ebfp tuy\u1ebfn chung trong.<\/p>\n\n\n\n
Hai \u0111\u01b0\u1eddng tr\u00f2n ch\u1ee9a nhau v\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u1ed3ng t\u00e2m: kh\u00f4ng c\u00f3 ti\u1ebfp tuy\u1ebfn chung.<\/p>\n\n\n\n
C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn<\/p>\n\n\n\n
V\u1edbi b\u00e0i h\u1ecdc n\u00e0y, c\u00f3 4 d\u1ea1ng b\u00e0i ph\u1ed5 bi\u1ebfn nh\u01b0 sau:<\/p>\n\n\n\n
D\u1ea1ng 1: X\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/p>\n\n\n\n
V\u1edbi d\u1ea1ng b\u00e0i 1, ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ch\u00ednh l\u00e0 x\u00e1c \u0111\u1ecbnh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n n\u1ed1i t\u00e2m, sau \u0111\u00f3 x\u00e1c \u0111\u1ecbnh h\u1ec7 th\u1ee9c li\u00ean h\u1ec7 gi\u1eefa \u0111\u1ed9 l\u1edbn c\u00e1c b\u00e1n k\u00ednh v\u00e0 \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n n\u1ed1i t\u00e2m<\/p>\n\n\n\n
D\u1ea1ng 2: B\u00e0i to\u00e1n v\u1edbi hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac nhau<\/p>\n\n\n\n
B\u00e0i to\u00e1n v\u1ebd h\u00ecnh c\u0169ng kh\u00e1 ph\u1ed5 bi\u1ebfn trong c\u00e1c b\u00e0i t\u1eadp li\u00ean quan. \u0110\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c b\u00e0i to\u00e1n n\u00e0y, c\u00e1c em c\u1ea7n v\u1ebd \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m, s\u1eed d\u1ee5ng t\u00ednh ch\u1ea5t c\u1ee7a ti\u1ebfp \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m; \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00ecnh g\u1ed3m c\u1ea3 hai \u0111\u01b0\u1eddng tr\u00f2n, s\u1eed d\u1ee5ng h\u1ec7 th\u1ee9c l\u00e0 \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n n\u1ed1i t\u00e2m.<\/p>\n\n\n\n
Trong tr\u01b0\u1eddng h\u1ee3p c\u1ea7n thi\u1ebft, c\u00e1c em c\u0169ng c\u00f3 th\u1ec3 v\u1ebd ti\u1ebfp tuy\u1ebfn chung t\u1ea1i ti\u1ebfp \u0111i\u1ec3m \u0111\u1ec3 s\u1eed d\u1ee5ng t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a hai ti\u1ebfp tuy\u1ebfn c\u1eaft nhau.<\/p>\n\n\n\n
D\u1ea1ng 3: B\u00e0i to\u00e1n v\u1edbi hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau<\/p>\n\n\n\n
\u0110\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c c\u00e1c b\u00e0i to\u00e1n d\u1ea1ng n\u00e0y, c\u00e1c em v\u1ebd d\u00e2y chung, v\u1ebd \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m. Sau \u0111\u00f3, ch\u1ec9 c\u1ea7n s\u1eed d\u1ee5ng t\u00ednh ch\u1ea5t c\u1ee7a \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m l\u00e0 trung tr\u1ef1c c\u1ee7a d\u00e2y chung l\u00e0 ra \u0111\u00e1p \u00e1n. B\u00e0i to\u00e1n n\u00e0y c\u00e1c em ch\u1ec9 c\u1ea7n n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft l\u00e0 c\u00f3 th\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c.<\/p>\n\n\n\n
D\u1ea1ng 4: Ch\u1ee9ng minh c\u00e1c quan h\u1ec7 h\u00ecnh h\u1ecdc (song song, vu\u00f4ng g\u00f3c, th\u1eb3ng h\u00e0ng\u2026)<\/p>\n\n\n\n
\u0110\u00e2y l\u00e0 d\u1ea1ng b\u00e0i t\u01b0\u01a1ng \u0111\u1ed1i ph\u1ed5 bi\u1ebfn v\u00e0 c\u00e1c em th\u01b0\u1eddng g\u1eb7p. L\u00fac n\u00e0y, h\u00e3y x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai h\u00ecnh tr\u00f2n xem n\u00f3 thu\u1ed9c v\u1ecb tr\u00ed n\u00e0o. Sau \u0111\u00f3m h\u00e3y v\u1eadn d\u1ee5ng c\u00e1c t\u00ednh ch\u1ea5t chung c\u1ee7a ti\u1ebfp tuy\u1ebfn, ti\u1ebfp tuy\u1ebfn chung, d\u00e2y vu\u00f4ng g\u00f3c\u2026 \u0111\u1ec3 gi\u1ea3i.<\/p>\n\n\n\n
Nh\u01b0 v\u1eady, ki\u1ebfn th\u1ee9c c\u1ee7a v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n kh\u00e1 d\u00e0i, m\u1ed7i v\u1ecb tr\u00ed l\u1ea1i c\u00f3 \u0111\u1ecbnh ngh\u0129a, \u0111\u1eb7c tr\u01b0ng ri\u00eang. V\u00ec th\u1ebf c\u00e1c em \u0111\u1eebng nh\u1ea7m l\u1eabn c\u00e1c v\u1ecb tr\u00ed v\u1edbi nhau nh\u00e9.<\/p>\n\n\n\n
<\/p>\n\n\n\n
T\u00ednh ch\u1ea5t hai ti\u1ebfp tuy\u1ebfn c\u1eaft nhau<\/p>\n\n\n\n
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
S\u1ef1 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1eddng tr\u00f2n t\u00ednh ch\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u01b0\u1edd<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"
Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Trong ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 9, c\u00e1c em s\u1ebd g\u1eb7p m\u1ed9t b\u00e0i h\u1ecdc v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n. B\u00e0i h\u1ecdc n\u00e0y v\u00f4 c\u00f9ng quan tr\u1ecdng kh\u00f4ng ch\u1ec9 \u1edf trong ch\u01b0\u01a1ng h\u1ecdc c\u1ee7a l\u1edbp 9 m\u00e0 c\u00f2n trong c\u00e1c b\u00e0i thi chuy\u1ec3n c\u1ea5p. Ch\u00ednh v\u00ec th\u1ebf, h\u00f4m […]<\/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-1097","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\/1097","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=1097"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1097\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1097"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1097"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}