{"id":911,"date":"2021-10-07T23:42:05","date_gmt":"2021-10-07T23:42:05","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=911"},"modified":"2021-10-14T22:10:41","modified_gmt":"2021-10-14T15:10:41","slug":"cach-chia-da-thuc-mot-bien-da-sap-xep-hoc-tot-toan-cung-toppy","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/cach-chia-da-thuc-mot-bien-da-sap-xep-hoc-tot-toan-cung-toppy\/","title":{"rendered":"C\u00e1ch chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp \u2013 h\u1ecdc t\u1ed1t to\u00e1n"},"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\">\u1ede trong <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n<\/a> l\u1edbp 8 ch\u00fang ta \u0111\u00e3 \u0111\u01b0\u1ee3c b\u1eaft \u0111\u1ea7u l\u00e0m quen v\u1edbi c\u00e1c \u0111\u01a1n th\u1ee9c, \u0111a th\u1ee9c v\u00e0 nh\u1eefng ph\u00e9p t\u00ednh li\u00ean quan \u0111\u1ebfn ch\u00fang. B\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y s\u1ebd gi\u00fap c\u00e1c b\u1ea1n t\u00ecm hi\u1ec3u th\u00eam v\u1ec1 l\u00fd thuy\u1ebft v\u00e0 nh\u1eefng b\u00e0i t\u1eadp c\u1ee7a ph\u1ea7n chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp. C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u \u0111\u1ec3 gi\u00fap b\u1ea1n c\u00f3 m\u1ed9t k\u1ebft qu\u1ea3 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> cao nh\u1ea5t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mu\u1ed1n th\u1ef1c hi\u1ec7n gi\u1ea3i m\u1ed9t b\u00e0i to\u00e1n 8 chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp ch\u00fang ta c\u1ea7n hi\u1ec3u \u0111\u01b0\u1ee3c l\u00fd thuy\u1ebft c\u1ee7a ch\u00fang c\u0169ng nh\u01b0 ph\u00e2n bi\u1ec7t \u0111\u01b0\u1ee3c d\u1ea1ng b\u00e0i t\u1eadp.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn A Cho m\u1ed9t \u0111a th\u1ee9c B m\u1ed9t bi\u1ebfn v\u1edbi \u0111i\u1ec1u ki\u1ec7n B#0, \u0111\u1ea7u ti\u00ean ch\u00fang ta c\u1ea7n s\u1eafp x\u1ebfp nh\u1eefng \u0111a th\u1ee9c n\u00e0y theo l\u0169y th\u1eeba m\u1ed9t c\u00e1ch gi\u1ea3m d\u1ea7n c\u00f9ng m\u1ed9t bi\u1ebfn. Sau \u0111\u00f3 s\u1ebd th\u1ef1c hi\u1ec7n chia nh\u01b0 nh\u1eefng ph\u00e9p chia v\u1edbi c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Chuy\u00ean \u0111\u1ec1 chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi hai \u0111a th\u1ee9c A v\u00e0 B t\u00f9y \u00fd c\u1ee7a m\u1ed9t bi\u1ebfn, B#0. S\u1ebd t\u1ed3n t\u1ea1i hai \u0111a th\u1ee9c duy nh\u1ea5t l\u00e0 R v\u00e0 Q, sao cho A= B.Q+R.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong \u0111\u00f3:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R=0 ho\u1eb7c b\u1eadc c\u1ee7a R s\u1ebd th\u1ea5p h\u01a1n b\u1eadc c\u1ee7a B.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>N\u1ebfu R=0 th\u00ec A chia cho B l\u00e0 ph\u00e9p chia h\u1ebft.<\/li><li>N\u1ebfu R\u22600 th\u00ec A chia cho B l\u00e0 ph\u00e9p chia c\u00f3 d\u01b0.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c d\u1ea1ng to\u00e1n th\u01b0\u1eddng g\u1eb7p<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng 1: T\u00ecm s\u1ed1 d\u01b0, th\u01b0\u01a1ng c\u1ee7a ph\u00e9p chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i: Ta c\u1ea7n s\u1eafp x\u1ebfp nh\u1eefng \u0111a th\u1ee9c n\u00e0y theo s\u1ef1 gi\u1ea3m d\u1ea7n c\u1ee7a l\u0169y th\u1eeba c\u00f9ng m\u1ed9t bi\u1ebfn v\u00e0 th\u1ef1c hi\u1ec7n chia nh\u01b0 nh\u1eefng s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea1ng 2: X\u00e1c \u0111\u1ecbnh c\u00e1c h\u1eb1ng s\u1ed1 a v\u00e0 b sao cho th\u1ecfa m\u00e3n ph\u00e9p chia l\u00e0 ph\u00e9p chia h\u1ebft.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1ng ph\u00e1p: d\u00f9ng t\u00ednh ch\u1ea5t c\u1ee7a ph\u00e9p chia R=0 \u0111\u1ec3 t\u00ecm \u0111\u01b0\u1ee3c a v\u00e0 b.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p> Chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c<\/p><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u1eefng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p v\u1ec1 chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp chia \u0111a th\u1ee9c 1 bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp ch\u00fang ta th\u01b0\u1eddng g\u1eb7p \u0111\u00f3 l\u00e0:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 1: Th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp sbt:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (2&#215;3 \u2013 26x \u2013 24):(x2 + 4x + 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x3 \u2013 9&#215;2 + 28x \u2013 30):( x \u2013 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u01b0\u1edbng d\u1eabn:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) Ta c\u00f3 ph\u00e9p chia<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady (2&#215;3 \u2013 26x \u2013 24) = (x2 + 4x + 3)(2x \u2013 8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) Ta c\u00f3 ph\u00e9p chia<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady (x3 \u2013 9&#215;2 + 28x \u2013 30) = (x \u2013 3)(x2 \u2013 6x + 10)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 2: T\u00ednh nhanh c\u00e1c ph\u00e9p chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) (4&#215;2 \u2013 9y2) : (2x \u2013 3y); b) (27&#215;3 \u2013 1) : (3x \u2013 1);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) (8&#215;3 + 1) : (4&#215;2 \u2013 2x + 1); d) (x2 \u2013 3x + xy -3y) : (x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) (4&#215;2 \u2013 9y2) : (2x \u2013 3y) = [(2x)2 \u2013 (3y)2] : (2x \u2013 3y) = (2x \u20133y)(2x +3y) : (2x \u20133y) = 2x + 3y;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) (27&#215;3 \u2013 1) : (3x \u2013 1) = [(3x)3 \u2013 1] : (3x \u2013 1) = (3x \u2013 1) [(3x)2 + 3x + 1] : (3x \u2013 1) = 9&#215;2+ 3x + 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) (8&#215;3 + 1) : (4&#215;2 \u2013 2x + 1) = [(2x)3 + 1] : (4&#215;2 \u2013 2x + 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (2x + 1)[(2x)2 \u2013 2x + 1] : (4&#215;2 \u2013 2x + 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (2x + 1)(4&#215;2 \u2013 2x + 1) : (4&#215;2 \u2013 2x + 1) = 2x + 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) (x2 \u2013 3x + xy -3y) : (x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= [(x2 + xy) \u2013 (3x + 3y)] : (x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= [x(x + y) \u2013 3(x + y)] : (x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x + y)(x \u2013 3) : (x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x \u2013 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 3: T\u00ecm c\u00e1c s\u1ed1 nguy\u00ean n \u0111\u1ec3 th\u1ecfa m\u00e3n gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c sau: n3 + 6n2 -7n + 4 s\u1ebd chia h\u1ebft cho bi\u1ec3u th\u1ee9c n \u2013 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u01b0\u1edbng d\u1eabn:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u1ede \u0111\u00e2y, ta s\u1ebd th\u1ef1c hi\u1ec7n \u0111\u1eb7t ph\u00e9p chia \u0111\u1ec3 t\u00ecm s\u1ed1 d\u01b0 v\u00e0 t\u00ecm gi\u00e1 tr\u1ecb \u0111i\u1ec1u ki\u1ec7n c\u1ee7a n \u0111\u1ec3 th\u1ecfa m\u00e3n \u0111\u1ec1 b\u00e0i. Nh\u01b0ng b\u00e0i n\u00e0y ch\u00fang ta c\u00f3 th\u1ec3 l\u00e0m theo c\u00e1ch bi\u1ebfn \u0111\u1ed5i sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3 n3 + 6n2 -7n + 4 = (n3 \u2013 3n2.2 + 3.n.22 \u2013 8) + 12n2 \u2013 19n + 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (n \u2013 2)3 + 12n(n \u2013 2) + 5(n \u2013 2) + 22<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Khi \u0111\u00f3 ta c\u00f3: (n3 + 6n2 \u2013 7n + 4)\/(n \u2013 2) = (n \u2013 2)2 + 12n + 5 + 22\/(n \u2013 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c n3 + 6n2 -7n + 4 chia h\u1ebft cho gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c n \u2013 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d4 (n \u2013 2) \u2208 UCLN(22) = {\u00b1 1; \u00b1 2; \u00b1 11; \u00b1 22}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 n \u2208 {- 20; \u2013 9;0;1;3;4;13;24}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady c\u00e1c gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a n c\u1ea7n t\u00ecm l\u00e0 n \u2208 {- 20; \u2013 9;0;1;3;4;13;24}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ec3 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> hi\u1ec7u qu\u1ea3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 c\u00f3 m\u1ed9t <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc<\/a> to\u00e1n hi\u1ec7u qu\u1ea3, \u0111\u1eb7c bi\u1ec7t l\u00e0 n\u1eafm ch\u1eafc \u0111\u01b0\u1ee3c ki\u1ebfn th\u1ee9c \u0111\u1ec3 gi\u1ea3i nh\u1eefng b\u00e0i t\u1eadp d\u1ea1ng chia \u0111a th\u1ee9c cho m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp th\u00ec ch\u00fang ta c\u1ea7n l\u01b0u \u00fd m\u1ed9t s\u1ed1 v\u1ea5n \u0111\u1ec1 sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1eafm ch\u1eafc \u0111\u01b0\u1ee3c c\u00e1c \u0111\u1ecbnh ngh\u0129a v\u00e0 l\u00fd thuy\u1ebft<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00f4ng gi\u1ed1ng nh\u01b0 nh\u1eefng m\u00f4n x\u00e3 h\u1ed9i l\u00e0 ph\u1ea3i h\u1ecdc thu\u1ed9c l\u00f2ng nh\u01b0ng v\u1edbi m\u00f4n to\u00e1n th\u00ec b\u1ea1n c\u1ea7n ph\u1ea3i n\u1eafm ch\u1eafc nh\u1eefng \u0111\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c, t\u00ednh ch\u1ea5t th\u00ec m\u1edbi c\u00f3 th\u1ec3 v\u1eadn d\u1ee5ng \u0111\u01b0\u1ee3c \u0111\u1ec3 l\u00e0m b\u00e0i t\u1eadp.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00f4ng d\u1ed3n v\u00e0o \u0111\u1ec3 h\u1ecdc<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi nh\u1eefng m\u00f4n t\u1ef1 nhi\u00ean \u0111\u1eb7c bi\u1ec7t l\u00e0 to\u00e1n th\u00ec b\u1ea1n c\u1ea7n ph\u1ea3i n\u1eafm v\u1eefng nh\u1eefng ki\u1ebfn th\u1ee9c c\u1ee7a b\u00e0i tr\u01b0\u1edbc th\u00ec m\u1edbi h\u1ecdc t\u1ed1t \u0111\u01b0\u1ee3c b\u00e0i sau. V\u00ec th\u1ebf, h\u1ecdc d\u1ed3n l\u00e0 m\u1ed9t vi\u1ec7c kh\u00f4ng th\u1ec3 l\u00e0m \u0111\u1ed1i v\u1edbi m\u00f4n h\u1ecdc n\u00e0y. To\u00e1n l\u00e0 m\u1ed9t m\u00f4n h\u1ecdc c\u1ea7n ph\u1ea3i c\u00f3 qu\u00e1 tr\u00ecnh \u00e1p d\u1ee5ng v\u00e0 trao d\u1ed3i m\u1ed7i ng\u00e0y. Mu\u1ed1n ghi nh\u1edb l\u00e2u c\u1ea7n \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c nh\u1eefng ki\u1ebfn th\u1ee9c v\u00e0o gi\u1ea3i b\u00e0i t\u1eadp.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">Ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc<\/a> m\u00f4n to\u00e1n hi\u1ec7u qu\u1ea3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ghi ch\u00e9p v\u00e0 l\u1eafng nghe gi\u1ea3i b\u00e0i<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ec khi gi\u1ea3ng b\u00e0i kh\u00f4ng ph\u1ea3i th\u1ea7y c\u00f4 gi\u1ea3ng \u0111\u1ec1u n\u1eb1m trong s\u00e1ch n\u00ean b\u1ea1n c\u1ea7n ghi ch\u00e9p l\u1ea1i \u0111\u1ea7y \u0111\u1ee7 b\u1edfi ch\u00fang r\u1ea5t c\u1ea7n thi\u1ebft. N\u1ebfu nh\u01b0 ch\u1ec9 nghe m\u00e0 kh\u00f4ng ghi l\u1ea1i th\u00ec ch\u00fang ta c\u00f3 th\u1ec3 s\u1ebd nhanh qu\u00ean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Khi ch\u01b0a hi\u1ec3u m\u1ea1nh d\u1ea1n h\u1ecfi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Qu\u00e1 tr\u00ecnh <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> \u1edf tr\u00ean l\u1edbp ch\u1eafc ch\u1eafn r\u1eb1ng s\u1ebd c\u00f3 nh\u1eefng v\u1ea5n \u0111\u1ec1 b\u1ea1n ch\u01b0a n\u1eafm r\u00f5. V\u00ec v\u1eady h\u00e3y m\u1ea1nh d\u1ea1n h\u1ecfi tr\u1ef1c ti\u1ebfp th\u1ea7y c\u00f4 \u0111\u1ec3 h\u1ecd c\u00f3 th\u1ec3 gi\u1ea3i th\u00edch l\u1ea1i. Khi b\u1ea1n \u0111\u00e3 hi\u1ec3u s\u00e2u v\u1ec1 v\u1ea5n \u0111\u1ec1 th\u00ec ch\u1eafc ch\u1eafn r\u1eb1ng s\u1ebd ghi nh\u1edb \u0111\u01b0\u1ee3c r\u1ea5t l\u00e2u.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u00ean \u0111\u1ecdc b\u00e0i m\u1edbi tr\u01b0\u1edbc \u1edf nh\u00e0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ecdc b\u00e0i tr\u01b0\u1edbc \u1edf nh\u00e0 l\u00e0 m\u1ed9t c\u00e1ch ti\u1ebfp thu b\u00e0i m\u1edbi r\u1ea5t t\u1ed1t. N\u1ebfu nh\u01b0 c\u00f3 s\u1ef1 chu\u1ea9n b\u1ecb tr\u01b0\u1edbc b\u1ea1n s\u1ebd d\u1ec5 d\u00e0ng b\u1eaft k\u1ecbp \u0111\u01b0\u1ee3c b\u00e0i \u1edf tr\u00ean l\u1edbp. H\u01a1n n\u1eefa, \u0111\u1ecdc tr\u01b0\u1edbc s\u1ebd \u0111\u01b0a ra \u0111\u01b0\u1ee3c nh\u1eefng c\u00e2u h\u1ecfi th\u1eafc m\u1eafc \u0111\u1ec3 l\u00ean l\u1edbp h\u1ecfi \u0111\u01b0\u1ee3c th\u1ea7y c\u00f4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ngo\u00e0i h\u1ecdc l\u00fd thuy\u1ebft c\u1ea7n l\u00e0m nhi\u1ec1u b\u00e0i t\u1eadp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Khi l\u00e0m b\u00e0i t\u1eadp th\u00ec b\u1ea1n s\u1ebd \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c m\u1ecdi c\u00f4ng th\u1ee9c m\u00ecnh \u0111\u00e3 h\u1ecdc. C\u00e0ng ti\u1ebfp x\u00fac v\u00e0 l\u00e0m nhi\u1ec1u d\u1ea1ng b\u00e0i t\u1eadp b\u1ea1n s\u1ebd r\u00fat ra cho m\u00ecnh \u0111\u01b0\u1ee3c nhi\u1ec1u kinh nghi\u1ec7m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ef1 h\u1ecdc<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u1ea1n c\u1ea7n c\u00f3 t\u00ednh ch\u1ee7 \u0111\u1ed9ng b\u1edfi khi t\u1ef1 h\u1ecdc s\u1ebd gi\u00fap b\u1ea1n nh\u1edb l\u1ea1i v\u00e0 n\u1eafm v\u1eefng \u0111\u01b0\u1ee3c ki\u1ebfn th\u1ee9c h\u01a1n. Khi c\u00f3 m\u1ed9t b\u00e0i to\u00e1n d\u1ec5 nh\u01b0ng kh\u00f4ng ph\u1ea3i do m\u00ecnh gi\u1ea3i c\u0169ng tr\u1edf th\u00e0nh kh\u00f3, v\u00ec v\u1eady, h\u00e3y gi\u1ea3i nh\u1eefng b\u00e0i d\u1ec5 nh\u1ea5t r\u1ed3i sang nh\u1eefng b\u00e0i kh\u00f3. B\u1ea1n c\u1ea7n ki\u00ean tr\u00ec ch\u1eafc ch\u1eafn s\u1ebd c\u00f3 m\u1ed9t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u00ean \u0111\u00e2y l\u00e0 nh\u1eefng l\u00fd thuy\u1ebft v\u00e0 b\u00e0i t\u1eadp v\u1ec1 chia \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 s\u1eafp x\u1ebfp. 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 class=\"wp-block-paragraph\">T\u00ecm hi\u1ec3u th\u00eam:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u00e2n th\u1ee9c \u0111\u1ea1i s\u1ed1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c \u2013 H\u1ecdc t\u1ed1t to\u00e1n 8 c\u00f9ng Topp<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn \u1ede trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n l\u1edbp 8 ch\u00fang ta \u0111\u00e3 \u0111\u01b0\u1ee3c b\u1eaft \u0111\u1ea7u l\u00e0m quen v\u1edbi c\u00e1c \u0111\u01a1n th\u1ee9c, \u0111a th\u1ee9c v\u00e0 nh\u1eefng ph\u00e9p t\u00ednh li\u00ean quan \u0111\u1ebfn ch\u00fang. B\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y s\u1ebd gi\u00fap c\u00e1c b\u1ea1n t\u00ecm hi\u1ec3u th\u00eam v\u1ec1 l\u00fd thuy\u1ebft v\u00e0 nh\u1eefng b\u00e0i t\u1eadp c\u1ee7a ph\u1ea7n [&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-911","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\/911","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=911"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/911\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=911"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=911"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=911"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}