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{"id":3228,"date":"2016-03-18T12:43:46","date_gmt":"2016-03-18T05:43:46","guid":{"rendered":"https:\/\/onthitot.com\/?p=3228"},"modified":"2016-03-18T12:43:46","modified_gmt":"2016-03-18T05:43:46","slug":"cach-on-thi-mon-toan-thpt-quoc-gia-hieu-qua","status":"publish","type":"post","link":"https:\/\/onthitot.com\/cach-on-thi-mon-toan-thpt-quoc-gia-hieu-qua\/","title":{"rendered":"C\u00e1ch \u00f4n thi m\u00f4n To\u00e1n THPT Qu\u1ed1c gia hi\u1ec7u qu\u1ea3"},"content":{"rendered":"

\u00d4n t\u1eadp sao \u0111\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t trong k\u1ef3 thi THPT qu\u1ed1c gia s\u1eafp t\u1edbi l\u00e0 m\u1ed1i quan t\u00e2m c\u1ee7a t\u1ea5t c\u1ea3 h\u1ecdc sinh l\u1edbp 12 trong giai \u0111o\u1ea1n n\u00e0y.<\/p>\n

C\u00e1ch \u00f4n thi m\u00f4n To\u00e1n k\u1ef3 thi THPT Qu\u1ed1c Gia<\/h2>\n

1. Ch\u00fa \u00fd d\u1ea1ng \u0111\u1ec1 thi<\/h3>\n

Theo th\u1ea1c s\u0129 Ho\u00e0ng H\u1eefu Vinh, Tr\u01b0\u1edfng khoa C\u01a1 B\u1ea3n Tr\u01b0\u1eddng C\u0110 Kinh T\u1ebf TP.HCM, \u0111\u1ec3 \u00f4n t\u1eadp c\u00f3 hi\u1ec7u qu\u1ea3 m\u00f4n to\u00e1n cho k\u1ef3 thi THPT qu\u1ed1c gia s\u1eafp t\u1edbi, th\u00ed sinh c\u1ea7n n\u1eafm r\u00f5 hai \u0111i\u1ec1u sau: S\u1ef1 kh\u00e1c bi\u1ec7t v\u1ec1 t\u00ednh ch\u1ea5t c\u1ee7a k\u1ef3 thi THPT qu\u1ed1c gia n\u0103m v\u1eeba qua v\u00e0 n\u0103m nay so v\u1edbi c\u00e1c k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT v\u00e0 c\u00e1c k\u1ef3 thi tuy\u1ec3n sinh \u0110H, C\u0110 nh\u1eefng n\u0103m tr\u01b0\u1edbc \u0111\u00f3.<\/p>\n

Do t\u00ednh ch\u1ea5t c\u1ee7a k\u1ef3 thi THPT qu\u1ed1c gia l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a k\u1ef3 thi \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng cho vi\u1ec7c x\u00e9t t\u1ed1t nghi\u1ec7p THPT l\u1eabn x\u00e9t tuy\u1ec3n v\u00e0o c\u00e1c tr\u01b0\u1eddng \u0110H, C\u0110 n\u00ean n\u1ed9i dung v\u00e0 \u0111\u1ed9 kh\u00f3 c\u1ee7a \u0111\u1ec1 thi c\u00f3 s\u1ef1 thay \u0111\u1ed5i c\u1ea7n ch\u00fa \u00fd nh\u01b0 sau:<\/p>\n

V\u1ec1 n\u1ed9i dung, ch\u00fang ta th\u1ea5y to\u00e0n b\u1ed9 c\u00e1c ph\u00e2n m\u00f4n to\u00e1n trong ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 12 \u0111\u1ec1u c\u00f3 m\u1eb7t trong \u0111\u1ec1 thi (gi\u1ed1ng nh\u01b0 trong \u0111\u1ec1 thi t\u1ed1t nghi\u1ec7p ph\u1ed5 th\u00f4ng c\u00e1c n\u0103m tr\u01b0\u1edbc). \u0110\u1ed1i v\u1edbi c\u00e1c n\u1ed9i dung thu\u1ed9c ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 10 v\u00e0 11 nh\u01b0 gi\u1ea3i t\u00edch t\u1ed5 h\u1ee3p, l\u01b0\u1ee3ng gi\u00e1c c\u0169ng xu\u1ea5t hi\u1ec7n trong \u0111\u1ec1 thi ch\u1ee9 kh\u00f4ng ph\u1ea3i n\u0103m c\u00f3 n\u0103m kh\u00f4ng nh\u01b0 trong \u0111\u1ec1 thi tuy\u1ec3n sinh tr\u01b0\u1edbc \u0111\u00e2y. B\u00e0i to\u00e1n l\u01b0\u1ee3ng gi\u00e1c kh\u00f4ng ch\u1ec9 cho gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u00e0 c\u00f3 th\u1ec3 cho c\u1ea3 ph\u1ea7n t\u00ednh to\u00e1n, r\u00fat g\u1ecdn m\u1ed9t bi\u1ec3u th\u1ee9c (nh\u01b0 \u0111\u00e3 cho trong \u0111\u1ec1 thi m\u1eabu v\u00e0 \u0111\u1ec1 thi ch\u00ednh th\u1ee9c c\u1ee7a B\u1ed9 v\u1eeba qua). B\u00e0i to\u00e1n kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 trong c\u00e1c \u0111\u1ec1 thi tuy\u1ec3n sinh tr\u01b0\u1edbc \u0111\u00e2y th\u00ec ph\u1ea7n y\u00eau c\u1ea7u v\u1ebd \u0111\u1ed3 th\u1ecb v\u00e0 b\u00e0i to\u00e1n li\u00ean quan th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u0111\u1eb7t ra v\u1edbi c\u00f9ng m\u1ed9t h\u00e0m s\u1ed1, nay t\u00e1ch ra th\u00e0nh 2 c\u00e2u trong \u0111\u00f3 h\u00e0m s\u1ed1 \u1edf c\u00e2u 2 c\u00f3 th\u1ec3 kh\u00f4ng ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 \u0111\u00e3 \u0111\u1ef1\u01a1c y\u00eau c\u1ea7u v\u1ebd \u0111\u1ed3 th\u1ecb \u1edf c\u00e2u 1.<\/p>\n

\"cach-on-thi-mon-toan-thpt-quoc-gia\"<\/a><\/p>\n

V\u1ec1 \u0111\u1ed9 kh\u00f3, n\u00f3i chung c\u00e1c c\u00e2u h\u1ecfi thu\u1ed9c ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 12 th\u01b0\u1eddng l\u00e0 nh\u1eefng c\u00e2u h\u1ecfi d\u1ec5 ho\u1eb7c trung b\u00ecnh. C\u00e1c c\u00e2u h\u1ecfi d\u1ec5 th\u01b0\u1eddng li\u00ean quan \u0111\u1ebfn s\u1ed1 ph\u1ee9c (0,5 \u0111i\u1ec3m), ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169, log (0,5 \u0111i\u1ec3m), kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 (1 \u0111i\u1ec3m). C\u00e2u h\u1ecfi c\u00f3 \u0111\u1ed9 kh\u00f3 trung b\u00ecnh li\u00ean quan \u0111\u1ebfn vi\u1ec7c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh ch\u00f3p ho\u1eb7c h\u00ecnh l\u0103ng tr\u1ee5 (0,5 \u0111i\u1ec3m), b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 (\u0111\u01a1n \u0111i\u1ec7u, c\u1ef1c tr\u1ecb, min, max, ti\u1ebfp tuy\u1ebfn, s\u1ef1 t\u01b0ong giao) (1 \u0111i\u1ebfm), t\u00ednh t\u00edch ph\u00e2n(1 \u0111i\u1ec3m), b\u00e0i to\u00e1n v\u1ec1 h\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch trong kh\u00f4ng gian (1 \u0111i\u1ec3m), l\u1ef1\u01a1ng gi\u00e1c (0,5 \u0111i\u1ec3m), gi\u1ea3i t\u00edch t\u1ed5 h\u1ee3p (nh\u1ecb th\u1ee9c Newton ho\u1eb7c x\u00e1c su\u1ea5t) (0,5 \u0111i\u1ec3m). C\u00e2u h\u1ecfi h\u01a1i kh\u00f3 li\u00ean quan \u0111\u1ebfn b\u00e0i to\u00e1n kho\u1ea3ng c\u00e1ch trong h\u00ecnh h\u1ecdc kh\u00f4ng gian (0,5 \u0111i\u1ec3m), c\u00e2u h\u1ecfi kh\u00f3 li\u00ean quan \u0111\u1ebfn vi\u1ec7c gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh ho\u1eb7c gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a c\u0103n (1 \u0111i\u1ec3m), b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc ph\u1eb3ng (1 \u0111i\u1ec3m). C\u00e2u h\u1ecfi r\u1ea5t kh\u00f3 l\u00e0 b\u00e0i to\u00e1n t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a m\u1ed9t bi\u1ec3u th\u1ee9c ho\u1eb7c ch\u1ee9ng minh m\u1ed9t b\u1ea5t \u0111\u1eb3ng th\u1ee9c (1 \u0111i\u1ec3m).<\/p>\n

C\u0103n c\u1ee9 v\u00e0o n\u1ed9i dung v\u00e0 \u0111\u1ed9 kh\u00f3 c\u1ee7a t\u1eebng d\u1ea1ng to\u00e1n \u0111\u00e3 n\u00eau \u1edf tr\u00ean v\u00e0 t\u00f9y theo n\u0103ng l\u1ef1c c\u1ee7a b\u1ea3n th\u00e2n, c\u00e1c em h\u00e3y ch\u1ecdn cho m\u00ecnh c\u00e1c n\u1ed9i dung c\u1ea7n \u0111\u01b0\u1ee3c \u01b0u ti\u00ean d\u00e0nh nhi\u1ec1u th\u1eddi gian \u0111\u1ec3 \u00f4n t\u1eadp v\u00e0 r\u00e8n luy\u1ec7n.<\/p>\n

2. \u00d4n theo t\u1eebng ph\u1ea7n<\/h3>\n

Thi\u1ebft ngh\u0129 c\u00e1c em c\u00f3 s\u1ee9c h\u1ecdc t\u1eeb trung b\u00ecnh tr\u1edf xu\u1ed1ng n\u00ean c\u1ed1 g\u1eafng t\u1eadp kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb th\u1eadt ho\u00e0n h\u1ea3o ba d\u1ea1ng h\u00e0m s\u1ed1: b\u1eadc ba, tr\u00f9ng ph\u01b0\u01a1ng v\u00e0 nh\u1ea5t bi\u1ebfn. R\u00e8n luy\u1ec7n vi\u1ec7c t\u00ednh to\u00e1n s\u1ed1 ph\u1ee9c, v\u00e0 vi\u1ec7c gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u0169, log (khi gi\u1ea3i c\u1ea7n ch\u00fa \u00fd \u0111\u1eb7t \u0111\u1ea7y \u0111\u1ee7 c\u00e1c \u0111i\u1ec1u ki\u1ec7n). Ph\u1ea7n n\u00e0y n\u1ebfu c\u00e1c em thu\u1ed9c c\u00f4ng th\u1ee9c v\u00e0 bi\u1ebfn \u0111\u1ed5i c\u1ea9n th\u1eadn l\u00e0 c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft \u0111\u01b0\u1ee3c d\u1ec5 d\u00e0ng.<\/p>\n

T\u1eadp t\u00ednh t\u00edch ph\u00e2n b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn v\u00e0 t\u1eebng ph\u1ea7n. Ch\u1ec9 c\u1ea7n l\u00e0m nh\u1eefng b\u00e0i t\u00edch ph\u00e2n \u0111\u01a1n gi\u1ea3n, kh\u00f4ng sa \u0111\u00e0 v\u00e0o vi\u1ec7c t\u00ednh to\u00e1n c\u00e1c t\u00edch ph\u00e2n qu\u00e1 ph\u1ee9c t\u1ea1p ho\u1eb7c c\u00f3 nh\u1eefng c\u00e1ch \u0111\u1ed5i bi\u1ebfn qu\u00e1 l\u1ea1, qu\u00e1 c\u1ea7u k\u1ef3. \u00d4n c\u00e1ch v\u1ebd c\u00e1c d\u1ea1ng h\u00ecnh ch\u00f3p v\u00e0 c\u00e1ch t\u00ednh th\u1ec3 t\u00edch m\u1ed9t kh\u1ed1i ch\u00f3p. R\u00e8n luy\u1ec7n m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n thu\u1ed9c m\u00f4n h\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch trong kh\u00f4ng gian nh\u01b0 vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng, ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng, c\u00e1ch t\u00ednh kho\u1ea3ng c\u00e1ch, g\u00f3c, c\u00e1ch t\u00ecm h\u00ecnh chi\u1ec1u c\u1ee7a m\u1ed9t \u0111i\u1ec3m, c\u1ee7a m\u00f4t \u0111\u01b0\u1eddng.<\/p>\n

C\u00e1c h\u1ecdc sinh c\u00f3 h\u1ecdc l\u1ef1c trung b\u00ecnh kh\u00e1 n\u00ean d\u00e0nh th\u1eddi gian \u00f4n l\u1ea1i l\u01b0\u1ee3ng gi\u00e1c v\u00e0 gi\u1ea3i t\u00edch t\u1ed5 h\u1ee3p c\u1ee7a l\u1edbp 11. \u0110\u1ed1i v\u1edbi h\u1ecdc sinh kh\u00e1 c\u00e1c em r\u00e8n luy\u1ec7n th\u00eam c\u00e1ch t\u00ednh c\u00e1c lo\u1ea1i kho\u1ea3ng c\u00e1ch trong b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian (ch\u00fa \u00fd r\u1eb1ng n\u1ebfu vi\u1ec7c gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p s\u01a1 c\u1ea5p qu\u00e1 kh\u00f3 th\u00ec c\u00f3 th\u1ec3 g\u1eafn h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 v\u00e0o \u0111\u1ec3 gi\u1ea3i).<\/p>\n

H\u1ecdc sinh kh\u00e1 gi\u1ecfi ph\u1ea3i n\u1eafm v\u1eefng c\u00e1c c\u00e1ch gi\u1ea3i m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 d\u1ea1ng th\u01b0\u1eddng ho\u1eb7c d\u1ea1ng \u0111\u1eb7c bi\u1ec7t, c\u00e1ch gi\u1ea3i m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a c\u0103n. Ph\u1ea3i t\u1eadp l\u00e0m th\u1eadt nhi\u1ec1u b\u00e0i t\u1eadp \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng v\u00e0 s\u1ef1 nh\u1ea1y b\u00e9n trong vi\u1ec7c \u0111\u1ecbnh h\u01b0\u1edbng c\u00e1ch gi\u1ea3i. C\u00e1c em c\u0169ng c\u1ea7n \u00f4n luy\u1ec7n b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc ph\u1eb3ng v\u00e0 c\u1ea7n h\u1ec7 th\u1ed1ng l\u1ea1i c\u00e1c t\u00ednh ch\u1ea5t h\u00ecnh h\u1ecdc c\u1ee7a c\u00e1c \u0111i\u1ec3m \u0111\u1eb7c bi\u1ec7t trong tam gi\u00e1c, c\u00e1c t\u00ednh ch\u1ea5t li\u00ean quan \u0111\u1ebfn h\u00ecnh thang, h\u00ecnh b\u00ecnh h\u00e0nh, h\u00ecnh thoi, h\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh vu\u00f4ng v\u00e0 c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n. V\u00e0 ch\u1ec9 h\u1ecdc sinh th\u1eadt s\u1ef1 xu\u1ea5t s\u1eafc m\u1edbi n\u00ean d\u00e0nh nhi\u1ec1u th\u1eddi gian cho vi\u1ec7c gi\u1ea3i b\u00e0i to\u00e1n b\u1ea5t \u0111\u1eb3ng th\u1ee9c<\/p>\n

V\u1edbi b\u00e0i vi\u1ebft chia s\u1ebb c\u00e1ch \u00f4n thi m\u00f4n To\u00e1n THPT Qu\u1ed1c Gia tr\u00ean, hy v\u1ecdng c\u00e1c em c\u00f3 th\u1ec3 tham kh\u1ea3o \u0111\u1ec3 gi\u00fap cho m\u00ecnh m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p \u00f4n thi m\u00f4n To\u00e1n hi\u1ec7u qu\u1ea3<\/p>\n","protected":false},"excerpt":{"rendered":"

\u00d4n t\u1eadp sao \u0111\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t trong k\u1ef3 thi THPT qu\u1ed1c gia s\u1eafp t\u1edbi l\u00e0 m\u1ed1i quan t\u00e2m c\u1ee7a t\u1ea5t c\u1ea3 h\u1ecdc sinh l\u1edbp 12 trong giai… <\/p>\n","protected":false},"author":1,"featured_media":3229,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts\/3228"}],"collection":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/comments?post=3228"}],"version-history":[{"count":0,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts\/3228\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/media\/3229"}],"wp:attachment":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/media?parent=3228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/categories?post=3228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/tags?post=3228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}