{"id":2549,"date":"2021-10-14T21:03:54","date_gmt":"2021-10-14T14:03:54","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=2549"},"modified":"2021-10-14T22:11:15","modified_gmt":"2021-10-14T15:11:15","slug":"mat-phang-toa-do-toan-lop-7-la-chuyen-nho","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/mat-phang-toa-do-toan-lop-7-la-chuyen-nho\/","title":{"rendered":"M\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 \u2013 To\u00e1n l\u1edbp 7 l\u00e0 chuy\u1ec7n nh\u1ecf"},"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\">Trong b\u00e0i h\u1ecdc s\u1ed1 6, c\u00e1c b\u00e9 \u0111\u01b0\u1ee3c l\u00e0m quen v\u1edbi kh\u00e1i ni\u1ec7m r\u1ea5t m\u1edbi l\u00e0 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9. \u0110\u00e2y l\u00e0 n\u1ed9i dung ki\u1ebfn th\u1ee9c kh\u00e1 m\u1edbi \u0111\u1ed1i v\u1edbi <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a>. C\u1ea3m nh\u1eadn ban \u0111\u1ea7u c\u1ee7a c\u00e1c b\u00e9 l\u00e0 s\u1ef1 b\u1ee1 ng\u1ee1 b\u1edfi kh\u00e1i ni\u1ec7m n\u00e0y c\u00f2n kh\u00e1 xa l\u1ea1 v\u00e0 c\u00f3 t\u00ednh tr\u1eebu t\u01b0\u1ee3ng cao. Tuy nhi\u00ean, th\u1ef1c t\u1ebf \u0111\u00e2y l\u00e0 n\u1ed9i dung kh\u00e1 d\u1ec5, c\u00f3 \u1ee9ng d\u1ee5ng r\u1ea5t nhi\u1ec1u trong th\u1ef1c t\u1ebf, c\u00e1c b\u00e9 h\u1eb3n \u0111\u00e3 t\u1eebng ti\u1ebfp x\u00fac qua m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9. V\u1eady l\u00e0m sao \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh m\u1eb7t ph\u1eb3ng c\u0169ng nh\u01b0 c\u00e1ch x\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 c\u00e1c \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng? H\u00e3y c\u0169ng Vietlearn t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft sau \u0111\u00e2y.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 l\u00e0 g\u00ec<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>V\u00ed d\u1ee5:<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ed d\u1ee5: Tr\u00ean m\u1ed7i b\u00e0n c\u1edd vua \u0111\u1ec1u c\u00f3 8 c\u1ed9t t\u1eeb a-h v\u00e0 8 h\u00e0ng t\u1eeb 1-8. M\u1ed7i \u00f4 trong b\u00e0n c\u1edd \u0111\u1ec1u t\u01b0\u01a1ng \u1ee9ng v\u1edbi 1 c\u1eb7p gi\u00e1 tr\u1ecb c\u1ed9t v\u00e0 h\u00e0ng. D\u1ef1a v\u00e0o s\u1ed1 h\u00e0ng v\u00e0 c\u1ed9t ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c v\u1ecb tr\u00ed c\u1ee7a qu\u00e2n c\u1edd.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eadn d\u1ee5ng: X\u00e1c \u0111\u1ecbnh h\u00e0ng v\u00e0 c\u1ed9t c\u1ee7a qu\u00e2n xe tr\u00ean b\u00e0n c\u1edd vua khi bi\u1ebft c\u00e1c th\u00f4ng tin sau: a1, a7, g4, h3, c3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+a1: qu\u00e2n xe \u0111ang \u1edf c\u1ed9t a, h\u00e0ng th\u1ee9 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+a7: qu\u00e2n xe \u0111ang \u1edf c\u1ed9t a, h\u00e0ng th\u1ee9 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+g4: qu\u00e2n xe \u0111ang \u1edf c\u1ed9t g, h\u00e0ng th\u1ee9 4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+h3: qu\u00e2n xe \u0111ang \u1edf c\u1ed9t h, h\u00e0ng th\u1ee9 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+c3: qu\u00e2n xe \u0111ang \u1edf c\u1ed9t c, h\u00e0ng th\u1ee9 3<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\"><li>M\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9:<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ef1a tr\u00ean v\u00ed d\u1ee5 v\u1ec1 b\u00e0n c\u1edd, ta c\u00f3 nh\u1eefng h\u00ecnh dung ban \u0111\u1ea7u v\u1ec1 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9. Theo \u0111\u00f3, ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed c\u1ee7a 1 \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng. Ta c\u00f3 m\u1ed9t s\u1ed1 kh\u00e1i ni\u1ec7m li\u00ean quan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00e1i ni\u1ec7m v\u1ec1 m\u1eb7t ph\u1eb3ng : Trong to\u00e1n h\u1ecdc, m\u1eb7t ph\u1eb3ng l\u00e0 m\u00f4 h\u00ecnh hai chi\u1ec1u k\u00e9o d\u00e0i v\u00f4 t\u1eadn. M\u1eb7t ph\u1eb3ng c\u00f3 chi\u1ec1u d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ecda \u0111\u1ed9: L\u00e0 v\u1ecb tr\u00ed x\u00e1c \u0111\u1ecbnh c\u1ee7a \u0111i\u1ec3m tr\u00ean m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1ee3c bi\u1ec3u th\u1ecb b\u1eb1ng c\u00e1c gi\u00e1 tr\u1ecb quy \u01b0\u1edbc tr\u00ean b\u1ea3n \u0111\u1ed3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb nh\u1eefng ki\u1ebfn th\u1ee9c b\u00ean tr\u00ean, ta c\u00f3 \u0111\u1ecbnh ngh\u0129a v\u1ec1 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\"><li>C\u00e1ch v\u1ebd<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u00ean m\u1ed9t m\u1eb7t ph\u1eb3ng v\u1ebd hai tr\u1ee5c Ox v\u00e0 Oy vu\u00f4ng g\u00f3c v\u1edbi nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; H\u1ec7 tr\u1ee5c Oxy \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c th\u00e0nh ph\u1ea7n c\u1ee7a h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+Ox: \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 tr\u1ee5c ho\u00e0nh, c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 y= 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+Oy: \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 tr\u1ee5c tung, c\u00f3 \u0111\u1ed3 th\u00ec l\u00e0 0 = x<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong \u0111\u00f3, tr\u1ee5c ho\u00e0ng th\u01b0\u1eddng n\u1eb1m ngang, tr\u1ee5c tung \u0111\u01b0\u1ee3c v\u1ebd theo chi\u1ec1u th\u1ea3ng \u0111\u1ee9ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+O \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 g\u1ed1c t\u1ecda \u0111\u1ed9, c\u00f3 tung \u0111\u1ed9 v\u00e0 ho\u00e0nh \u0111\u1ed9 \u0111\u1ec1u b\u1eb1ng 0.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Hai tr\u1ee5c Ox v\u00e0 Oy chia m\u1eb7t ph\u1eb3ng th\u00e0nh 4 ph\u1ea7n<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">M\u1eb7t ph\u1eb3ng Oxy<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 nh\u1ea5t \u2013 I: L\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng bao g\u1ed3m c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 v\u00e0 ho\u00e0ng \u0111\u1ed9 \u0111\u1ec1u d\u01b0\u01a1ng<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 hai \u2013 II: L\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng bao g\u1ed3m c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 d\u01b0\u01a1ng v\u00e0 ho\u00e0ng \u0111\u1ed9 \u00e2m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 ba \u2013 III: L\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng bao g\u1ed3m c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 v\u00e0 ho\u00e0ng \u0111\u1ed9 \u0111\u1ec1u \u00e2m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 t\u01b0 \u2013 IV: L\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng bao g\u1ed3m c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 \u00e2m v\u00e0 ho\u00e0ng \u0111\u1ed9 d\u01b0\u01a1ng<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\"><li>M\u1eb9o ghi nh\u1edb<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">M\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 bao g\u1ed3m tr\u1ee5c tung Oy v\u00e0 tr\u1ee5c ho\u00e0nh Ox: c\u00e1c \u0111i\u1ec3m tr\u00ean tr\u1ee5c tung Oy lu\u00f4n c\u00f3 ho\u00e0nh \u0111\u1ed9 b\u1eb1ng 0. Ng\u01b0\u1ee3c l\u1ea1i, c\u00e1c \u0111i\u1ec3m tr\u00ean tr\u1ee5c ho\u00e0nh Ox lu\u00f4n c\u00f3 tung \u0111\u1ed9 b\u1eb1ng 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ed1c t\u1ecda \u0111\u1ed9 O l\u00e0 \u0111i\u1ec3m giao nhau gi\u1eefa Ox v\u00e0 Oy, c\u00f3 t\u1ecda \u0111\u1ed9 l\u00e0 0:0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ox v\u00e0 Oy chia m\u1eb7t ph\u1eb3ng th\u00e0nh 4 g\u00f3c ph\u1ea7n t\u01b0 kh\u00e1c nhau: G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 nh\u1ea5t c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 v\u00e0 ho\u00e0ng \u0111\u1ed9 \u0111\u1ec1u d\u01b0\u01a1ng. G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 hai c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 d\u01b0\u01a1ng v\u00e0 ho\u00e0ng \u0111\u1ed9 \u00e2m. G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 ba c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 v\u00e0 ho\u00e0ng \u0111\u1ed9 \u0111\u1ec1u \u00e2m. G\u00f3c ph\u1ea7n t\u01b0 th\u1ee9 t\u01b0 c\u00e1c \u0111i\u1ec3m c\u00f3 tung \u0111\u1ed9 \u00e2m v\u00e0 ho\u00e0ng \u0111\u1ed9 d\u01b0\u01a1ng<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\"><li>B\u00e0i t\u1eadp v\u1ec1 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9:<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i t\u1eadp 32 s\u00e1ch gi\u00e1o khoa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. T\u1ecda \u0111\u1ed9 c\u00e1c \u0111i\u1ec3m l\u00e0:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M(-3, 2), N(2, -3), P(0, -2), Q(-2, 0)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. V\u1edbi c\u1eb7p \u0111i\u1ec3m M v\u00e0 N, m\u1eb7c d\u00f9 \u0111\u1ec1u c\u00f3 1 gi\u00e1 tr\u1ecb \u00e2m v\u00e0 1 gi\u00e1 tr\u1ecb d\u01b0\u01a1ng nh\u01b0ng 2 \u0111i\u1ec3m n\u00e0y l\u1ea1i n\u1eb1m \u1edf hai m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 \u0111\u1ed1i di\u1ec7n nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi c\u1eb7p \u0111i\u1ec3m P v\u00e0 Q, hai \u0111i\u1ec3m \u0111\u1ec1u c\u00f3 1 gi\u00e1 tr\u1ecb b\u1eb1ng 0, v\u00e0 \u0111\u1ec1u n\u1eb1m tr\u00ean c\u00e1c tr\u1ee5c c\u1ee7a m\u1eb7t ph\u1eb3ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i t\u1eadp 34 s\u00e1ch gi\u00e1o khoa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. M\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u1ef3 tr\u00ean tr\u1ee5c ho\u00e0ng c\u00f3 tung \u0111\u1ed9 b\u1eb1ng 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a tr\u1ee5c ho\u00e0nh l\u00e0 y = f(x) v\u1edbi y b\u1eb1ng 0. Do \u0111\u00f3, v\u00f3i m\u1ecdi gi\u00e1 tr\u1ecb x, ta lu\u00f4n nh\u1eadn \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb y = 0 =&gt; tung \u0111\u1ed9 lu\u00f4n b\u1eb1ng 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. M\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u1ef3 tr\u00ean tr\u1ee5c tung c\u00f3 ho\u00e0nh \u0111\u1ed9 b\u1eb1ng 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3 \u0111\u1ed3 th\u1ecb tr\u1ee5c tung l\u00e0 y = f(x) v\u1edbi x = 0. Do \u0111\u00f3 \u0111i\u1ec3m b\u1ea5t k\u00fd tr\u00ean tr\u1ee5c tung lu\u00f4n c\u00f3 ho\u00e0nh \u0111\u1ed9 b\u1eb1ng 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i t\u1eadp 35 s\u00e1ch gi\u00e1o khoa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb c\u00e1c \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c v\u00e0 h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00e3 cho, k\u1ebb c\u00e1c \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c v\u1edbi tr\u1ee5c tung v\u00e0 tr\u1ee5c ho\u00e0ng t\u01b0\u01a1ng \u1ee9ng.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi h\u00ecnh ch\u1eef nh\u1eadt ABCD, t\u1ecda \u0111\u1ed9 c\u00e1c \u0111\u1ec9nh l\u00e0: A(0,5 , 2); B(2, 2); C(2, 0); D(0,5 , 0)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi h\u00ecnh tam gi\u00e1c PQR, t\u1ecda \u0111\u1ed9 c\u00e1c \u0111\u1ec9nh l\u00e0: P(-3, 3); Q(-1, 1); R(-3, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 38 s\u00e1ch gi\u00e1o khoa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ef1a v\u00e0o m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9, ta x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ed3ng 11 tu\u1ed5i cao 14dm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hoa 13 tu\u1ed5i cao 14dm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e0o 14 tu\u1ed5i cao 15dm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Li\u00ean 14 tu\u1ed5i cao 13dm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. \u0110\u00e0o l\u00e0 ng\u01b0\u1eddi cao nh\u1ea5t<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. \u0110\u00e0o cao 15dm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c. H\u1ed3ng l\u00e0 ng\u01b0\u1eddi \u00edt tu\u1ed5i nh\u1ea5t<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d. H\u1ed3ng 11 tu\u1ed5i<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e. H\u1ed3ng cao h\u01a1n Li\u00ean<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f. Li\u00ean nhi\u1ec1u tu\u1ed5i h\u01a1n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi k\u1ebft:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hy v\u1ecdng v\u1edbi nh\u1eefng n\u1ed9i dung tr\u00ean, Vietlearn \u0111\u00e3 gi\u00fap c\u00e1c b\u00e9 hi\u1ec3u v\u00e0 n\u1eafm \u0111\u01b0\u1ee3c n\u1ed9i dung ki\u1ebfn th\u1ee9c v\u1ec1 m\u1eb7t ph\u1eb3ng \u0111\u1ed3 th\u1ecb. H\u00e3y nh\u1edb \u00f4n luy\u1ec7n ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft v\u00e0 l\u00e0m c\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng \u0111\u1ec3 c\u1ee7ng c\u1ed1 n\u1ed9i dung b\u00e0i h\u1ecdc, n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c. B\u00ean c\u1ea1nh \u0111\u00f3, \u0111\u1eebng qu\u00ean th\u01b0\u1eddng xuy\u00ean theo d\u00f5i Vietlearn \u0111\u1ec3 c\u1eadp nh\u1eadt nh\u1eefng b\u00e0i h\u1ecdc b\u1ed5 \u00edch.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1ec1 Vietlearn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ecdc tr\u1ef1c tuy\u1ebfn t\u1ea1i Vietlearn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vietlearn l\u00e0 c\u00f4ng ty Edtech v\u1ec1 gi\u00e1o d\u1ee5c tr\u1ef1c tuy\u1ebfn, cung c\u1ea5p tr\u1ea3i nghi\u1ec7m <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> c\u00e1 nh\u00e2n cho h\u00e0ng tr\u0103m ngh\u00ecn <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a>, sinh vi\u00ean v\u00e0 nh\u00e0 tr\u01b0\u1eddng \u0111\u1ec3 gi\u1ea3i \u0111\u00e1p nh\u1eefng y\u00eau c\u1ea7u trong vi\u1ec7c <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> Anh ng\u1eef th\u00f4ng qua m\u1ea1ng l\u01b0\u1edbi c\u00e1c <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">chuy\u00ean gia<\/a> v\u00e0 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">gi\u00e1o vi\u00ean<\/a> kh\u1eafp to\u00e0n c\u1ea7u m\u00e0 ch\u00fang t\u00f4i g\u1ecdi l\u00e0 c\u00e1c <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">gia s\u01b0<\/a> h\u1ecdc thu\u1eadt qu\u1ed1c t\u1ebf.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vietlearn mong mu\u1ed1n tr\u1edf th\u00e0nh h\u1ec7 th\u1ed1ng h\u1ecdc t\u1eadp th\u00edch \u1ee9ng s\u1eed d\u1ee5ng c\u00f4ng ngh\u1ec7 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o (AI) v\u00e0 d\u1eef li\u1ec7u l\u1edbn h\u00e0ng \u0111\u1ea7u \u0110\u00f4ng Nam \u00c1. S\u1ee9 m\u1ec7nh c\u1ee7a Vietlearn l\u00e0 truy\u1ec1n c\u1ea3m h\u1ee9ng, truy\u1ec1n l\u1eeda, v\u00e0 b\u1ed3i d\u01b0\u1ee1ng th\u1ebf h\u1ec7 tr\u1ebb. Vietlearn mong mu\u1ed1n t\u1ea1o ra s\u1ef1 thay \u0111\u1ed5i v\u1ec1 tr\u00ed tu\u1ec7, nh\u1eadn th\u1ee9c x\u00e3 h\u1ed9i truy\u1ec1n c\u1ea3m h\u1ee9ng , gi\u00fap c\u00e1c em ph\u00e1t huy h\u1ebft ti\u1ec1m n\u0103ng trong vi\u1ec7c h\u1ecdc c\u0169ng nh\u01b0 \u0111i\u1ec3m m\u1ea1nh c\u1ee7a m\u00ecnh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u0103ng k\u00fd kh\u00f3a h\u1ecdc cho con ngay h\u00f4m nay!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb vu\u00f4ng g\u00f3c \u0111\u1ebfn song song \u2013 To\u00e1n l\u1edbp 7 l\u00e0 chuy\u1ec7n nh\u1ecf<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Trong b\u00e0i h\u1ecdc s\u1ed1 6, c\u00e1c b\u00e9 \u0111\u01b0\u1ee3c l\u00e0m quen v\u1edbi kh\u00e1i ni\u1ec7m r\u1ea5t m\u1edbi l\u00e0 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9. \u0110\u00e2y l\u00e0 n\u1ed9i dung ki\u1ebfn th\u1ee9c kh\u00e1 m\u1edbi \u0111\u1ed1i v\u1edbi h\u1ecdc sinh. C\u1ea3m nh\u1eadn ban \u0111\u1ea7u c\u1ee7a c\u00e1c b\u00e9 l\u00e0 s\u1ef1 b\u1ee1 ng\u1ee1 b\u1edfi kh\u00e1i ni\u1ec7m n\u00e0y c\u00f2n kh\u00e1 [&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":[9,4],"tags":[],"class_list":["post-2549","post","type-post","status-publish","format-standard","hentry","category-toan-hoc","category-trung-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2549","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=2549"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2549\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=2549"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=2549"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=2549"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}