{"id":110,"date":"2015-04-02T14:40:39","date_gmt":"2015-04-02T07:40:39","guid":{"rendered":"http:\/\/luyenthitructuyen.edu.vn\/blog\/?p=110"},"modified":"2015-04-02T14:42:44","modified_gmt":"2015-04-02T07:42:44","slug":"phan-tich-de-thi-thpt-quoc-gia-2015-mon-toan-de-thi-mau","status":"publish","type":"post","link":"http:\/\/luyenthitructuyen.edu.vn\/blog\/phan-tich-de-thi-thpt-quoc-gia-2015-mon-toan-de-thi-mau.html","title":{"rendered":"Ph\u00e2n t\u00edch \u0111\u1ec1 thi THPT qu\u1ed1c gia 2015 m\u00f4n To\u00e1n (\u0111\u1ec1 thi m\u1eabu)"},"content":{"rendered":"

\u0110\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh luy\u1ec7n thi \u0111\u1ea1i h\u1ecdc v\u00e0 gi\u00e1o vi\u00ean c\u00f3 th\u1ec3 tham kh\u1ea3o, \u0111\u00e2y l\u00e0 b\u00e0i ph\u00e2n t\u00edch, \u0111\u00e1nh gi\u00e1 \u0111\u1ec1 thi THPT qu\u1ed1c gia m\u00f4n To\u00e1n m\u1eabu m\u00e0 b\u1ed9 GD-\u0110T v\u1eeba c\u00f4ng b\u1ed1 c\u00f9ng v\u1edbi c\u00e1c \u0111\u1ec1 thi m\u1eabu THPT qu\u1ed1c gia m\u00f4n kh\u00e1c nh\u01b0 V\u0103n, L\u00fd, H\u00f3a, Sinh, Anh V\u0103n, ti\u1ebfng Trung, ti\u1ebfng Ph\u00e1p…
\n<\/p>\n

T\u1ed5ng h\u1ee3p \u0111\u1ec1 thi m\u1eabu THPT qu\u1ed1c gia 2015 t\u1eeb b\u1ed9 GD-\u0110T<\/a><\/strong><\/em><\/span><\/h2>\n
\"Ph\u00e2n<\/a>

Ph\u00e2n t\u00edch \u0111\u1ec1 thi THPT qu\u1ed1c gia 2015 m\u00f4n To\u00e1n (\u0111\u1ec1 thi m\u1eabu)<\/p><\/div>\n

C\u1ea5u tr\u00fac \u0111\u1ec1 thi THPT qu\u1ed1c gia m\u00f4n To\u00e1n<\/h2>\n

C\u0169ng gi\u1ed1ng nh\u01b0 \u0111\u1ec1 thi \u0111\u1ea1i h\u1ecdc n\u0103m 2014, \u0111\u1ec1 thi m\u1eabu THPT qu\u1ed1c gia n\u0103m 2015 ch\u1ec9 bao g\u1ed3m 1 ph\u1ea7n chung cho t\u1ea5t c\u1ea3 c\u00e1c th\u00ed sinh v\u1edbi 10 c\u00e2u h\u1ecfi.<\/p>\n

S\u1ef1 ph\u00e2n b\u1ed5 ki\u1ebfn th\u1ee9c theo l\u1edbp trong \u0111\u1ec1 thi THPT m\u00f4n To\u00e1n 2015<\/h3>\n

L\u1edbp 10<\/strong><\/span>: Chi\u1ebfm 3 \u0111i\u1ec3m<\/p>\n

– B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 t\u1ec9 (1\u0111)
\n– Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t – B\u1ea5t \u0111\u1eb3ng th\u1ee9c (1\u0111)
\n– H\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch ph\u1eb3ng (1\u0111)<\/p>\n

L\u1edbp 11<\/strong><\/span>: Chi\u1ebfm 1 \u0111i\u1ec3m
\n– T\u1ed5 h\u1ee3p x\u00e1c su\u1ea5t (0,5 \u0111)
\n– Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c, bi\u1ebfn \u0111\u1ed5i l\u01b0\u1ee3ng gi\u00e1c (0,5 \u0111)<\/p>\n

L\u1edbp 12<\/strong><\/span>: Chi\u1ebfm 6 \u0111i\u1ec3m
\n– Kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 (2\u0111)
\n– S\u1ed1 ph\u1ee9c (0,5 \u0111)
\n– T\u00edch ph\u00e2n (1\u0111)
\n– Ph\u01b0\u01a1ng tr\u00ecnh logarit (0,5\u0111)
\n– H\u00ecnh h\u1ecdc kh\u00f4ng gian (1\u0111)
\n– T\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian (1\u0111)<\/p>\n

<\/i> V\u1ec1 \u0111\u1ed9 kh\u00f3<\/h3>\n

T\u1ec9 l\u1ec7 D\u1ec5\/TB\/Kh\u00f3 v\u00e0 C\u1ef1c kh\u00f3 l\u00e0 : 5\/3\/2. V\u1edbi t\u1ec9 l\u1ec7 n\u00e0y, \u0111\u1ec1 thi \u0111\u1ea3m b\u1ea3o t\u00ednh ph\u00e2n lo\u1ea1i th\u00ed sinh cho 2 m\u1ee5c ti\u00eau x\u00e9t t\u1ed1t nghi\u1ec7p v\u00e0 l\u00e0m c\u01a1 s\u1edf \u0111\u1ec3 tuy\u1ec3n sinh v\u00e0o c\u00e1c tr\u01b0\u1eddng \u0111\u1ea1i
\nh\u1ecdc.
\n– Nh\u1eefng c\u00e2u h\u1ecfi kh\u00f3 mang t\u00ednh v\u1eadn d\u1ee5ng cao m\u1edf r\u1ed9ng t\u1eeb chuy\u00ean \u0111\u1ec1 B\u1ea5t \u0111\u1eb3ng th\u1ee9c sang th\u00eam chuy\u00ean \u0111\u1ec1 H\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch ph\u1eb3ng, m\u1ed7i c\u00e2u chi\u1ebfm 1 \u0111i\u1ec3m.
\n\u0110\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c 2 c\u00e2u n\u00e0y,h\u1ecdc sinh c\u1ea7n ph\u1ea3i ph\u00e1t huy kh\u1ea3 n\u0103ng v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c t\u1ed5ng h\u1ee3p v\u00e0o gi\u1ea3i quy\u1ebft m\u1ed9t v\u1ea5n \u0111\u1ec1 thay v\u00ec l\u00e0m theo khu\u00f4n m\u1eabu n\u00e0o \u0111\u00f3.
\n– Nh\u1eefng c\u00e2u h\u1ecfi D\u1ec5 v\u1eabn thu\u1ed9c c\u00e1c chuy\u00ean \u0111\u1ec1 c\u00f3 t\u00ednh \u201ctruy\u1ec1n th\u1ed1ng\u201d nh\u01b0 c\u00e1c n\u0103m tr\u01b0\u1edbc nh\u01b0ng c\u00f3 s\u1ef1 d\u1ecbch chuy\u1ec3n nh\u1eb9 \u1edf c\u00e2u h\u1ecfi l\u01b0\u1ee3ng gi\u00e1c v\u00e0 x\u00e1c su\u1ea5t.<\/p>\n

<\/i> Ph\u00e2n t\u00edch t\u1eebng chuy\u00ean \u0111\u1ec1 To\u00e1n (c\u00e2u h\u1ecfi)<\/h2>\n

<\/i> C\u00e2u 1<\/strong><\/span>: Kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 l\u00e0 h\u00e0m nh\u1ea5t bi\u1ebfn. C\u00e2u h\u1ecfi ph\u1ee5 thu\u1ed9c d\u1ea1ng vi\u1ebft ti\u1ebfp tuy\u1ebfn t\u1ea1i \u0111i\u1ec3m, \u0111\u1ed9 kh\u00f3 ch\u1ec9 \u1edf m\u1ee9c \u0111\u1ed9 d\u1ec5 gi\u1ed1ng nh\u01b0 \u0111\u1ec1 thi \u0111\u1ea1i h\u1ecdc 2014.<\/p>\n

<\/i> C\u00e2u 2<\/strong><\/span>:
\n– \u00dd a: Bi\u1ebfn \u0111\u1ed5i l\u01b0\u1ee3ng gi\u00e1c: h\u1ecdc sinh ch\u1ec9 c\u1ea7n th\u00e0nh th\u1ea1o c\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i l\u01b0\u1ee3ng gi\u00e1c l\u00e0 c\u00f3 th\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c, \u0111\u1ed9 kh\u00f3 m\u1ee9c \u0111\u1ed9 d\u1ec5. Tuy l\u00e0 1 c\u00e2u d\u1ec5 nh\u01b0ng c\u00e1ch th\u1ee9c ra \u0111\u1ec1 m\u1edbi thu\u1ed9c d\u1ea1ng ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng c\u1ee7a l\u01b0\u1ee3ng gi\u00e1c \u0111\u00f3 l\u00e0 d\u1ea1ng to\u00e1n t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a c\u1ee7a bi\u1ec3u th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c, kh\u00f4ng gi\u1ed1ng v\u1edbi d\u1ea1ng gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c lu\u00f4n c\u00f3 trong \u0111\u1ec1 thi c\u1ee7a c\u00e1c n\u0103m g\u1ea7n \u0111\u00e2y. M\u1ee9c \u0111\u1ed9 ki\u1ebfn th\u1ee9c gi\u1ea3m, nh\u01b0ng l\u00e0 d\u1ea1ng to\u00e1n m\u1edbi th\u00ec v\u1edbi nh\u1eefng h\u1ecdc sinh ch\u01b0a n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n d\u1ec5 l\u00e0m sai ho\u1eb7c nh\u1ea7m.
\n– \u00dd b: S\u1ed1 ph\u1ee9c: \u1ede m\u1ee9c \u0111\u1ed9 d\u1ec5 t\u01b0\u01a1ng \u0111\u01b0\u01a1ng nh\u01b0 c\u00e1c \u0111\u1ec1 thi n\u0103m tr\u01b0\u1edbc.<\/p>\n

<\/i> C\u00e2u 3, c\u00e2u 4<\/strong><\/span>: thu\u1ed9c chuy\u00ean \u0111\u1ec1 Ph\u01b0\u01a1ng tr\u00ecnh \u2013 B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh – H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n

– C\u00e2u 3<\/span><\/em>: gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit thu\u1ed9c m\u1ee9c \u0111\u1ed9 d\u1ec5, ch\u1ec9 c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 c\u00e1c c\u00f4ng th\u1ee9c v\u1ec1 logarit SGK l\u00e0 gi\u1ea3i quy\u1ebft \u0111\u01b0\u1ee3c.
\n– C\u00e2u 4<\/span>: gi\u1ea3i BPT thu\u1ed9c m\u1ee9c \u0111\u1ed9 tr\u00ean trung b\u00ecnh, ch\u1ec9 c\u1ea7n s\u1eed d\u1ee5ng c\u00e1c k\u0129 thu\u1eadt gi\u1ea3i th\u00f4ng th\u01b0\u1eddng v\u00e0 k\u1ebft h\u1ee3p v\u1edbi ph\u00e2n t\u00edch h\u1ea1ng t\u1eed li\u00ean h\u1ee3p l\u00e0 c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft t\u1ed1t b\u00e0i to\u00e1n. V\u1ec1 m\u1ee9c th\u00ec \u0111\u1ed9 kh\u00f3 c\u00f3 gi\u1ea3m so v\u1edbi \u0111\u1ec1 thi c\u00e1c n\u0103m tr\u01b0\u1edbc.<\/p>\n

<\/i> C\u00e2u 5<\/strong><\/span>: T\u00edch ph\u00e2n \u0111\u1ec1 k\u1ebft h\u1ee3p gi\u1eefa t\u00edch ph\u00e2n h\u00e0m \u0111a th\u1ee9c v\u1edbi t\u00edch ph\u00e2n t\u1eebng ph\u1ea7n trong 1 b\u00e0i to\u00e1n, d\u1ea1ng \u0111\u1ec1 gi\u1ed1ng nh\u01b0 \u0111\u1ec1 thi c\u00e1c n\u0103m tr\u01b0\u1edbc, \u0111\u1ec1u \u1edf m\u1ee9c \u0111\u1ed9 d\u1ec5, c\u01a1 b\u1ea3n.<\/p>\n

<\/i> C\u00e2u 6<\/strong><\/span>: H\u00ecnh h\u1ecdc kh\u00f4ng gian c\u00e2u h\u1ecfi \u0111\u1ec1u nh\u1eefng v\u1ea5n \u0111\u1ec1 quen thu\u1ed9c: t\u00ednh th\u1ec3 t\u00edch v\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb 1 \u0111i\u1ec3m \u0111\u1ebfn 1 m\u1eb7t ph\u1eb3ng v\u00e0 c\u00f3 \u0111\u1ed9 kh\u00f3 \u1edf m\u1ee9c \u0111\u1ed9 trung b\u00ecnh nh\u01b0 c\u00e1c n\u0103m tr\u01b0\u1edbc.<\/p>\n

<\/i> C\u00e2u 7<\/strong><\/span>: H\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch ph\u1eb3ng thu\u1ed9c m\u1ee9c \u0111\u1ed9 kh\u00f3. Ng\u01b0\u1eddi ra \u0111\u1ec1 d\u1ef1a tr\u00ean nh\u1eefng b\u00e0i to\u00e1n v\u00e0 t\u00ednh ch\u1ea5t h\u00ecnh h\u1ecdc \u1edf c\u1ea5p 2. H\u01a1n n\u1eefa, trong c\u00e2u c\u00f3 k\u1ebft h\u1ee3p s\u1eed d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c \u00edt \u00f4n luy\u1ec7n, ki\u1ebfn th\u1ee9c kh\u00f4ng tr\u1ecdng t\u00e2m, \u00edt \u0111\u01b0\u1ee3c nh\u1eafc \u0111\u1ebfn trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc tr\u00ean l\u1edbp=> th\u01b0\u1eddng v\u1edbi nh\u1eefng h\u1ecdc sinh \u1edf ban c\u01a1 b\u1ea3n s\u1ebd kh\u00f4ng nh\u1edb v\u1ec1 ki\u1ebfn th\u1ee9c \u201c\u0111\u01b0\u1eddng tr\u00f2n b\u00e0ng ti\u1ebfp\u201d t\u1eeb \u0111\u00f3 vi\u1ec7c gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n tr\u1edf n\u00ean b\u1ea5t kh\u1ea3 thi. Ch\u1ec9 c\u00f3 c\u00e1c h\u1ecdc sinh kh\u00e1 – gi\u1ecfi th\u01b0\u1eddng xuy\u00ean ti\u1ebfp x\u00fac v\u1edbi ph\u1ea7n ki\u1ebfn th\u1ee9c n\u00e0y v\u00e0 c\u00f3 t\u00ecm t\u00f2i c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh h\u1ecdc ph\u1eb3ng \u1edf c\u1ea5p 2 th\u00ec m\u1edbi gi\u1ea3i quy\u1ebft t\u1ed1t c\u00e2u n\u00e0y.<\/p>\n

<\/i> C\u00e2u 8<\/strong><\/span>: T\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian v\u1edbi m\u1ee9c \u0111\u1ed9 c\u00e2u h\u1ecfi gi\u1ed1ng c\u00e1c \u0111\u1ec1 thi n\u0103m tr\u01b0\u1edbc \u0111\u1ec1u \u1edf m\u1ee9c \u0111\u1ed9 trung b\u00ecnh kh\u00f4ng \u0111\u00e1nh \u0111\u1ed1, ch\u1ec9 c\u1ea7n h\u1ecdc sinh bi\u1ebft v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n l\u00e0 c\u00f3 th\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c.<\/p>\n

<\/i> C\u00e2u 9<\/strong><\/span>: X\u00e1c su\u1ea5t \u2013 Nh\u1ecb th\u1ee9c Newton: C\u00e2u n\u00e0y c\u00f3 m\u1ee9c \u0111\u1ed9 trung b\u00ecnh v\u00e0 \u0111\u1ed9 kh\u00f3 t\u0103ng l\u00ean so v\u1edbi \u0111\u1ec1 thi 2014. H\u1ecdc sinh c\u1ea7n bi\u1ebft v\u1eadn d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c th\u1ef1c ti\u1ec5n m\u1edbi l\u00e0m \u0111\u01b0\u1ee3c.<\/p>\n

<\/i> C\u00e2u 10<\/strong><\/span>: Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t: thu\u1ed9c m\u1ee9c \u0111\u1ed9 r\u1ea5t kh\u00f3 v\u00e0 \u1edf c\u1ea5p \u0111\u1ed9 t\u01b0 duy v\u1eadn d\u1ee5ng cao. Theo \u0111\u00e1p \u00e1n c\u1ee7a b\u1ed9 th\u00ec ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i \u0111\u00f3 l\u00e0 s\u1ef1 k\u1ebft h\u1ee3p h\u00ecnh h\u1ecdc c\u01a1 s\u1edf v\u00e0 b\u1ea5t \u0111\u1eb3ng th\u1ee9c vecto \u0111\u1ec3 gi\u1ea3i. Ch\u1ec9
\nc\u00f3 nh\u1eefng h\u1ecdc sinh th\u1ef1c s\u1ef1 xu\u1ea5t s\u1eafc m\u1edbi c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft \u0111\u01b0\u1ee3c c\u00e2u h\u1ecfi n\u00e0y.<\/p>\n

Tham kh\u1ea3o th\u00eam:<\/p>\n

\u0110\u00e1nh gi\u00e1 \u0111\u1ec1 thi THPT qu\u1ed1c gia m\u00f4n V\u0103n 2015 (\u0111\u1ec1 thi m\u1eabu)<\/a><\/h2>\n

Ngu\u1ed3n: tham kh\u1ea3o<\/strong><\/em><\/p>\n

<\/div>","protected":false},"excerpt":{"rendered":"

\u0110\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh luy\u1ec7n thi \u0111\u1ea1i h\u1ecdc v\u00e0 gi\u00e1o vi\u00ean c\u00f3 th\u1ec3 tham kh\u1ea3o, \u0111\u00e2y l\u00e0 b\u00e0i ph\u00e2n t\u00edch, \u0111\u00e1nh gi\u00e1 \u0111\u1ec1 thi THPT qu\u1ed1c gia m\u00f4n To\u00e1n m\u1eabu m\u00e0 b\u1ed9 GD-\u0110T v\u1eeba c\u00f4ng b\u1ed1 c\u00f9ng v\u1edbi c\u00e1c \u0111\u1ec1 thi m\u1eabu THPT qu\u1ed1c gia m\u00f4n kh\u00e1c nh\u01b0 V\u0103n, L\u00fd, H\u00f3a, Sinh, Anh V\u0103n, 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