{"id":1077,"date":"2021-10-08T13:10:52","date_gmt":"2021-10-08T13:10:52","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1077"},"modified":"2021-10-14T22:10:33","modified_gmt":"2021-10-14T15:10:33","slug":"bat-phuong-trinh-bac-nhat-mot-an-ly-thuyet-va-cach-giai-bai-tap","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/bat-phuong-trinh-bac-nhat-mot-an-ly-thuyet-va-cach-giai-bai-tap\/","title":{"rendered":"B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n \u2013 L\u00fd thuy\u1ebft v\u00e0 c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp"},"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\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a m\u1ed9t \u1ea9n r\u1ea5t quen thu\u1ed9c \u0111\u1ed1i v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc c\u1ee7a c\u00e1c b\u1ea1n <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a>, sinh vi\u00ean. Kh\u00f4ng ch\u1ec9 trong To\u00e1n h\u1ecdc, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y c\u00f2n r\u1ea5t c\u1ea7n thi\u1ebft \u0111\u1ed1i v\u1edbi nhi\u1ec1u m\u00f4n h\u1ecdc kh\u00e1c. Th\u00f4ng qua b\u00e0i vi\u1ebft sau \u0111\u00e2y c\u1ee7a Vietlearn, c\u00e1c b\u1ea1n \u0111\u1ecdc s\u1ebd \u0111\u01b0\u1ee3c t\u00ecm hi\u1ec3u v\u1ec1 kh\u00e1i ni\u1ec7m b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n v\u00e0 t\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Th\u1ebf n\u00e0o l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1edbc ti\u00ean, h\u00e3y c\u00f9ng t\u00ecm hi\u1ec3u th\u1ebf n\u00e0o l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh nh\u00e9. B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a d\u1ef1a tr\u00ean kh\u00e1i ni\u1ec7m m\u1ec7nh \u0111\u1ec1 m\u1ed9t bi\u1ebfn (hay c\u00f2n g\u1ecdi l\u00e0 h\u00e0m m\u1ec7nh \u0111\u1ec1).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh th\u01b0\u1eddng bao g\u1ed3m nh\u1eefng lo\u1ea1i sau \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n (trong \u0111\u00f3, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n l\u1edbp 8 l\u00e0 d\u1ea1ng to\u00e1n \u0111\u00e3 xu\u1ea5t hi\u1ec7n trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc t\u1eeb r\u1ea5t s\u1edbm).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai m\u1ed9t \u1ea9n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n l\u00e0 g\u00ec?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00e1i ni\u1ec7m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1edbc khi t\u00ecm hi\u1ec3u v\u1ec1 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t 1 \u1ea9n, c\u00e1c b\u1ea1n c\u1ea7n n\u1eafm r\u00f5 kh\u00e1i ni\u1ec7m v\u1ec1 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n l\u00e0 m\u1ed9t m\u1ec7nh \u0111\u1ec1 so s\u00e1nh gi\u1eefa 2 h\u00e0m s\u1ed1 f(x) v\u00e0 h\u00e0m s\u1ed1 g(x) tr\u00ean m\u1ed9t tr\u01b0\u1eddng s\u1ed1 th\u1ef1c, l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u1edbp 8 c\u01a1 b\u1ea3n trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc. Vi\u1ec7c gi\u1ea3i t\u1ed1t to\u00e1n 8 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n s\u1ebd t\u1ea1o n\u00ean nh\u1eefng ti\u1ec1n \u0111\u1ec1 quan tr\u1ecdng trong vi\u1ec7c t\u00ecm hi\u1ec3u c\u00e1c b\u00e0i to\u00e1n v\u1ec1 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n. B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 ch\u1ee9a m\u1ed9t \u1ea9n th\u01b0\u1eddng \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n d\u01b0\u1edbi 1 trong c\u00e1c d\u1ea1ng sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f(x) &lt; g (x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f(x) &gt; g(x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f(x) \u2264 g(x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f(x) \u2265 g(x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n c\u00f3 4 d\u1ea1ng c\u01a1 b\u1ea3n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 t\u00ecm t\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 m\u1ed9t \u1ea9n, ta c\u1ea7n ph\u1ea3i t\u00ecm \u0111i\u1ec3m giao gi\u1eefa 2 t\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a 2 h\u00e0m s\u1ed1 f(x) v\u00e0 g(x). T\u1ea5t c\u1ea3 c\u00e1c b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n \u0111\u1ec1u c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chuy\u1ec3n v\u1ec1 d\u1ea1ng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng (\u0111i\u1ec3n h\u00ecnh nh\u01b0 f(x) &gt; 0, f(x) \u2265 0).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh 1 \u1ea9n, bi\u1ebfn x s\u1ebd \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u1ea9n. Nh\u01b0 v\u1eady, khi nh\u00ecn v\u00e0o m\u1ed9t b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f(x) &gt; 0, v\u1edbi gi\u00e1 tr\u1ecb x = a v\u00e0 f(a) &gt; 0 l\u00e0 m\u1ed9t b\u1ea5t \u0111\u1eb3ng th\u1ee9c \u0111\u00fang th\u00ec a s\u1ebd c\u00f3 t\u00ean g\u1ecdi ch\u00ednh x\u00e1c l\u00e0 nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 m\u1ed9t \u1ea9n. Vi\u1ec7c gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u1edbp 8 th\u00e0nh th\u1ea1o s\u1ebd gi\u00fap \u00edch r\u1ea5t nhi\u1ec1u cho <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> trong vi\u1ec7c gi\u1ea3i c\u00e1c lo\u1ea1i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u01b0 Vietlearn \u0111\u00e3 \u0111\u1ec1 c\u1eadp, b\u1ea1n c\u00f3 th\u1ec3 chuy\u1ec3n b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 ch\u1ee9a m\u1ed9t \u1ea9n v\u1ec1 d\u1ea1ng f(x) &gt; 0 ho\u1eb7c f(x) \u2265 0. Khi ph\u00e2n lo\u1ea1i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 m\u1ed9t \u1ea9n ngh\u0129a l\u00e0 ph\u00e2n lo\u1ea1i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh theo h\u00e0m f(x).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u1eefng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 t\u1ef7 \u2013 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh khai c\u0103n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169 l\u00e0 nh\u1eefng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u00e0 tr\u00ean l\u0169y th\u1eeba c\u00f3 ch\u1ee9a bi\u1ebfn hay c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 h\u00e0m m\u0169.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh logarit l\u00e0 nh\u1eefng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 ch\u1ee9a bi\u1ebfn b\u00ean trong d\u1ea5u logarit.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc k l\u00e0 nh\u1eefng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a f(x) l\u00e0 m\u1ed9t \u0111a th\u1ee9c b\u1eadc k.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t 1 \u1ea9n l\u00e0 m\u1ed9t lo\u1ea1i thu\u1ed9c c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh 1 \u1ea9n, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t c\u00f3 m\u1ed9t \u1ea9n th\u01b0\u1eddng \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng sau \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ax + b &lt; 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ax + b &gt; 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ax + b 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ax + b 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong d\u1ea1ng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y, a v\u00e0 b l\u00e0 2 s\u1ed1 \u0111\u00e3 \u0111\u01b0\u1ee3c cho tr\u01b0\u1edbc v\u00e0 a \u2260 0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t 1 \u1ea9n l\u00e0 m\u1ed9t d\u1ea1ng nh\u1ecf c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh 1 \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1eafm \u0111\u01b0\u1ee3c c\u00e1ch gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n l\u00e0 v\u00f4 c\u00f9ng quan tr\u1ecdng, gi\u00fap c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 ti\u1ebfp c\u1eadn \u0111\u01b0\u1ee3c nhi\u1ec1u d\u1ea1ng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n t\u1eeb nh\u1eefng ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u1eefng quy t\u1eafc khi bi\u1ebfn \u0111\u1ed5i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 bi\u1ebfn \u0111\u1ed5i BPT b\u1eadc nh\u1ea5t 1 \u1ea9n, b\u1ea1n c\u1ea7n ph\u1ea3i th\u1ef1c hi\u1ec7n theo 2 quy t\u1eafc quan tr\u1ecdng l\u00e0 quy t\u1eafc chuy\u1ec3n v\u1ebf ho\u1eb7c quy t\u1eafc nh\u00e2n v\u1edbi m\u1ed9t s\u1ed1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc chuy\u1ec3n v\u1ebf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc chuy\u1ec3n v\u1ebf \u0111\u01b0\u1ee3c ph\u00e1t bi\u1ec3u r\u1ea5t \u0111\u01a1n gi\u1ea3n, khi b\u1ea1n chuy\u1ec3n m\u1ed9t h\u1ea1ng t\u1eed trong b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh t\u1eeb m\u1ed9t v\u1ebf sang v\u1ebf c\u00f2n l\u1ea1i, b\u1ea1n c\u1ea7n ph\u1ea3i \u0111\u1ed5i d\u1ea5u c\u1ee7a h\u1ea1ng t\u1eed \u0111\u00f3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc nh\u00e2n v\u1edbi m\u1ed9t s\u1ed1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc nh\u00e2n v\u1edbi m\u1ed9t s\u1ed1 ngh\u0129a l\u00e0 b\u1ea1n nh\u00e2n 2 v\u1ebf c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t c\u00f3 m\u1ed9t \u1ea9n v\u1edbi c\u00f9ng m\u1ed9t s\u1ed1 kh\u00e1c 0. Khi \u0111\u00f3, b\u1ea1n c\u1ea7n ph\u1ea3i.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1eef nguy\u00ean chi\u1ec1u c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh nh\u01b0 c\u0169 n\u1ebfu s\u1ed1 \u0111\u01b0\u1ee3c nh\u00e2n l\u00e0 s\u1ed1 d\u01b0\u01a1ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ed5i chi\u1ec1u c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh sang chi\u1ec1u ng\u01b0\u1ee3c l\u1ea1i n\u1ebfu s\u1ed1 \u0111\u01b0\u1ee3c nh\u00e2n l\u00e0 s\u1ed1 \u00e2m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c1p d\u1ee5ng gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sau khi \u0111\u00e3 \u00e1p d\u1ee5ng 2 quy t\u1eafc chuy\u1ec3n v\u1ebf v\u00e0 quy t\u1eafc nh\u00e2n v\u1edbi m\u1ed9t s\u1ed1 v\u00e0o c\u00e1c v\u1ebf c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 b\u1eaft \u0111\u1ea7u gi\u1ea3i BPT b\u1eadc nh\u1ea5t 1 \u1ea9n nh\u01b0 sau: B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 d\u1ea1ng ax + b &gt; 0 \u21d2 ax &gt; -b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ebfu a &gt; 0 th\u00ec b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh s\u1ebd c\u00f3 nghi\u1ec7m l\u00e0 x &gt; -b\/a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ebfu a &lt; 0 th\u00ec b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh s\u1ebd c\u00f3 nghi\u1ec7m l\u00e0 x &lt; b\/a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u01b0 v\u1eady, b\u00e0i vi\u1ebft tr\u00ean \u0111\u00e3 t\u1ed5ng h\u1ee3p t\u1ea5t c\u1ea3 nh\u1eefng ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n c\u0169ng nh\u01b0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i nh\u1eefng d\u1ea1ng b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh. \u0110\u1ec3 t\u00ecm hi\u1ec3u th\u00eam v\u1ec1 nh\u1eefng th\u00f4ng tin h\u1eefu \u00edch kh\u00e1c, h\u00e3y truy c\u1eadp ngay v\u00e0o trang web Vietlearn.org\/ nh\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch l\u1eadp ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a m\u1ed9t \u1ea9n r\u1ea5t quen thu\u1ed9c \u0111\u1ed1i v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc c\u1ee7a c\u00e1c b\u1ea1n h\u1ecdc sinh, sinh vi\u00ean. Kh\u00f4ng ch\u1ec9 trong To\u00e1n h\u1ecdc, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y c\u00f2n r\u1ea5t c\u1ea7n thi\u1ebft \u0111\u1ed1i v\u1edbi nhi\u1ec1u m\u00f4n h\u1ecdc kh\u00e1c. Th\u00f4ng qua b\u00e0i vi\u1ebft sau \u0111\u00e2y c\u1ee7a Vietlearn, c\u00e1c [&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-1077","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\/1077","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=1077"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1077\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}