DE THIDAP ANMA TRAN THI THU TN THPT 2011

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IZK5# RX ( )S > (2;1;1)I 5#Y"#HPG& G)1NMKL/0%Z?+= 1 2 x x+ F5 1 2 ,x x !*## >60 2 3 2 3 2 0x x- + = IH\#9]+G+# G)1ENIKL/0%Z?+<"*LCOxyz (2;1; 1), ( 4; 1;3), (1; 2;3)A B C- - - - MZK5# UWAB& IZK5# RX ( )S >C5#Y"UWAB&+ LC5# UWAB"RX ( )S & G)1ENMKL/0%Z?9# >6J#)#0 2 4 8z z i+ = QQQQQQQQQQFQQQQQQQQQQ Thí sinh không được sử dụng tài liệu. Giám thị coi thi không giải thích gì thêm. ,J=0&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ?)FS0&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& IQZ4$0&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& IQZ4%0&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& 12@C@K+0% G) 2@C@ 2/0% ,)0 3 2 ( ) 2 3 3 x y f x x x= = - + - +#40 D = Ă [L0 2 4 3y x x  = - + - I 2 1 0 4 3 0 3 x y x x x ộ = ờ  = - + - = ờ = ờ ở 0y  > JH$\;G ,)[OJH$\;G 0y  < JH]\$GH;\_G ^OJH]\$GH;\_G ,)L/LLP; I[ 0y = L/LP$ CT 4 3 y =- 9"L0 ; lim lim x x y y đ- Ơ đ+Ơ = +Ơ = - Ơ OF5J x ] $ ; _ y  ] L _ L ] y _ . 4 3 - ] [)0 2 2 4 0 2 3 y x x y  = - + = = ị = - & [)34!0 2 2; 3 I ổ ử ữ ỗ ữ - ỗ ữ ỗ ố ứ 9"`0 0 0; 3y x x= = = 9"`0 0 0x y= ị = O40x . $ % ; 7 y . ]7a; ]%a; . ]7a; [34) 20 0 0 0 0 16 ( ) 6 2 4 6 1 3 f x x x y  = - + = = - ị = LKIP LKIP LKIP LKP LKP LKIP LKP 2 0 ( ) ( 1) ( 1) 4( 1) 3 8f x f   = - = - - + - - = - - 5#65X ! 16 8 8( 1) 8 3 3 y x y x- = - + =- - LKIP LKIP 2 2 log ( 3) log ( 1) 3x x- + - = [M*0 3 0 3 3 1 0 1 x x x x x ỡ ỡ ù ù - > > ù ù > ớ ớ ù ù - > > ù ù ợ ợ &B 2 2 2 log ( 3) log ( 1) 3 log ( 3)( 1) 3 ( 3)( 1) 8x x x x x x ộ ự - + - = - - = - - = ở ỷ 2 2 1( ) 3 3 8 4 5 0 5 x loai x x x x x x ộ = - ờ - - + = - - = ờ = ờ ở K6# bB*S6'0xPE 0 (2 1)sinI x xdx p = - ũ [R 2 1 2. sin cos u x dx dx dv xdx v x ỡ ỡ ù ù = - = ù ù ị ớ ớ ù ù = = - ù ù ợ ợ &+6<=#>c#X (0 0 0 0 (2 1)cos ( 2cos ) (2 1) 1 2sinI x x x dx x p p p p= - - - - = - - + ũ (2 1) 1 2.0 2 2p p= - - + = - + 9+d^9+^^) 3 2 2 3 12 2y x x x= + - + JL [ 1;2]- ,) 3 2 2 3 12 2y x x x= + - + !J`JL [ 1;2]- 2 6 6 12y x x  = + - I H!G 2 2 [ 1;2] 0 6 6 12 0 1 [ 1;2] x y x x x ộ = - ẽ - ờ  = + - = ờ = ẻ - ờ ở +B 3 2 (1) 2.1 3.1 12.1 2 5f = + - + = - 3 2 3 2 ( 1) 2.( 1) 3.( 1) 12.( 1) 2 15 (2) 2.2 3.2 12.2 2 6 f f - = - + - - - + = = + - + = +)J) 5- :')$E!"'& K6 khi khi [ 1;2] [ 1;2] min 5 2, max 15 1y x y x - - = - = = = - LKIP LKP LKIP LKP LKP LKP LKP 9O!> <ABCD&@S&ABCD! B# MJ ( )SO ABCD^ ?6OB! 5<BSB!J#HABCDG @B ã 0 60SBO = &5(# 2 2 a r OB= = 60 LKIP LKIP 0 2 6 .tan60 3 2 2 a a h SO OB= = = × = @*=A B0  2 2 . . 2 2 xq a S r l a ap p p= = × × = HSG +=)B0 2 3 2 1 1 6 6 . . 3 3 2 2 12 a a a V r h p p p= = × × = HG LKIP LKIP 1H  \#9]+)^ #HQGA (1;1; 2)A - <B"dJB# (2;1; 1) d n u= = - r r K6-++e#HQG0 2( 1) 1( 1) 1( 2) 0x y z- + - - + = 2 5 0x y zÛ + - - = fRX ( )S B>! (2;1;1)I @ ( )S 5#Y"# ( ) : 3 2 6 0P x y z- + + = J ( )S BF= 2 2 2 2 3.1 2.1 6 7 14 ( ,( )) 2 14 1 ( 3) 2 R d I P - + + = = = = + - + - RX 2 2 2 7 ( ) :( 2) ( 1) ( 1) 2 S x y z- + - + - = LKP LKP LKP LKP 1H  2 3 2 3 2 0x x- + = +B 2 2 ( 2 3) 4.3.2 12 24 12 (2 3)iD = - - = - = - = - bB%*#0 1,2 2 3 2 3 2 3 2 3 3 3 2.3 6 6 3 3 i x i i ± = = ± = ± +cB 2 2 2 2 1 2 3 3 3 3 2 6 3 3 3 3 3 x x æ ö æ ö æ ö æ ö ÷ ÷ ÷ ÷ ç ç ç ç ÷ ÷ ÷ ÷ ç ç ç ç + = + + + - = ÷ ÷ ÷ ÷ ç ç ç ç ÷ ÷ ÷ ÷ ç ç ç ç è ø è ø è ø è ø LKP LKP 1HE \#9]+G+# [J UWAB0 (2;1; 1)A - #UWAB0 ( 6; 2;4)u AB= = - - uuur r ?6-++?UWAB0 2 6 1 2 ( ) 1 4 x t y t t z t ì ï = - ï ï ï = - Î í ï ï = - + ï ï î ¡ fR#WHPGA0 (1; 2;3)C - K  ( )P AB^ J0##HPG!0 ( 6; 2;4)n AB= = - - uuur r K6-++e# ( )P 0 0 0 0 ( ) ( ) ( ) 0A x x B y y C z z- + - + - = 6( 1) 2( 2) 4( 3) 0 6 2 4 10 0 x y z x y z Û - - - + + - = Û - - + - = +6#AB-++e#HPG(0 LKP LKP 6(2 6 ) 2(1 2 ) 4( 1 4 ) 10 0 1 56 26 0 0,5 2 t t t t t Û - - - - + - + - = Û - = Û = = +6tP.E# )AB(0 1; 0; 1x y z= - = = K6LC 5X ! ( 1;0;1)H - K RXHSG>C5#Y"UWABJBAH +>RX0 (1; 2;3)C - O=RX0 2 2 2 (1 1) ( 2 0) (3 1) 2 3R CH= = + + - - + - = K6# RX0 2 2 2 ( 1) ( 2) ( 3) 12x y z- + + + - = LKP LKP 1HE  2 4 8z z i+ = [R 2 2 2 2 2 z a bi z a b z a b= + Þ = + Þ = + &+6# J (0 2 2 2 2 2 2 2 2 2 2 4 8 4( ) 8 4 4 8 2 4 0 4 0 4 4 0 2 4 8 2 2 z z i a b a bi i a b a bi i a a b a a b a a a b b b b + = Û + + + = Û + + + = ì ì ì ì ï ï ï ï = - + + = + + = + + = ï ï ï ï ï ï ï Û Û Û Û í í í í ï ï ï ï = = = = ï ï ï ï î ï ï ï î î î K6zP]%_%i LKP LKP 1/0%`&/@E9a" +9:/E/b,#& 2/c] .94+)db%> >+1eG% . >6J#)#0 2 4 8z z i+ = QQQQQQQQQQFQQQQQQQQQQ Thí sinh không được sử dụng tài liệu. Giám thị coi thi không giải thích gì thêm. ,J=0&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&