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http://ductam_tp.violet.vn/ Đ THI THỬ ĐI HC KHI A NĂM 2010 Đ RA 3 2 1 2 3 3 y x mx x m= − − + + !"#$%&'()'*'%+,'*'-./','0 1%+,'*2' 3 3 cos sinx x m− = 3%+,'*2' %+,'*2'4'*'*( ; 4 4 x π π ∈ − $1 3%+,'*2' 2 2 2 log 9 log log 3 2 .3 x x x x= − 5'5%&' 2 4 4 2 4 sin cos (tan 2tan 5) xdx x x x π π − − + ∫ 6$ 2'*7'**'!"89:;<=>%+,'*2' ( ) ( ) ( ) 2 2 2 1 2 3 14x y z+ + + + + = ? ( ) 1; 3; 2M − − − @A%%+,'*2';%B'*CD=C >E-*=8F'.+G'* 2H''5''I'J 2'*;%B'*!"8: ( ) 1;3A 'K'*L 2 2 6 2 6 0x y x y+ − + + = MF%+,'*2' +G'*B'*ND=O #?O 01 2' ( ) 5 2 3 15 0 1 15 1 x x x a a x a x+ + + = + + + ( 9 a P2' ::QRST'*'2K'* 3 3 3 3 (1 )(1 ) (1 )(1 ) (1 )(1 ) 4 a b c b c c a a b + + ≥ + + + + + + ĐP N U>V* WI 3 2 1 2 0 3 3 x mx x m⇔ − − + + = $'*(%&'(I 2 2 2 1 2 3 15x x x+ + > ( ) ( ) 2 1 (1 3 ) 2 3 0x x m x m⇔ − + − + + = $'*(%&'(I 2 2 2 1 2 3 15x x x+ + > 1m⇔ > 1 :%+,'*2'2X' ( ) ( ) cos sin 1 cos sin 1x x x x− + = − Y; cos sinx x− SZ=(' 2t ≤ '*( ( ) 2 , 2 2 x k k l x l π π π π = + ∈ = + ¢ ( ) ( ) cos sin 1 cos sinx x x x m⇔ − + = Y; cos sinx x− SZ=(' 2t ≤ http://ductam_tp.violet.vn/ ; 0; 2 4 4 x t π π ∈ − ⇒ ∈ %+,'*2'EL 3 3 2t t m− = K'*A%*2?F2:=82%+,'*2'4'*'*( ; 4 4 x π π ∈ − ?[ 2 ;1 2 m ∈ ÷ ÷ $ YL"QR %+,'*2' 2 2 2 2 log 9 log log 3 log 2 2 .3 3 1 x x x x x x= − ⇔ = − Y; 2 log 2 t x x⇒ = C+,'*2'2X' 3 1 3 4 1 1 1 2 4 4 t t t t t x = − ⇔ + = ⇒ = ⇒ = ÷ ÷ 2 4 4 2 4 sin cos (tan 2tan 5) xdx I x x x π π − = − + ∫ Y; 2 tan 1 dt t x dx t = ⇒ = + 1 1 2 2 2 1 1 2 2 ln 3 3 2 5 2 5 t dt dt I t t t t − − = = + − − + − + ∫ ∫ 5' 1 1 2 1 2 5 dt I t t − = − + ∫ Y; 0 1 4 1 1 tan 2 2 8 t u I du π π − − = ⇒ = = ∫ MA8 2 3 2 ln 3 8 I π = + − 6J8\=-Z'2'*P>?>& ( ) 1; 2; 3 , 14I R− − − = ]: CD=\ >E-*=8F'.+G'*2H''5''I'J 2 2 R IH⇔ − 'I'JU.'F=?=7'**P^2_';%B'*C IH⇔ ./''J ( ) 0;1; 1M H IM⇔ ≡ ⇔ = − uuur .MCPC MA8C%+,'*2'.89`R E8_=<=' , ,A B C⇒ B'*'*?O3a 2 1 ( ; ), ( ; ) 2 1 m a B a b C m n n b = − ⇒ = − ]:'K2_''_' 2 2 2 2 3 6 2 6 0 1 5 6 2 6 0 1 a a b a b b m m n m n n = + − + + = = ⇒ = + − + + = = − ; 7 5 1 5 9 5 13 5 a b m n = = = = − MA8+G'*B'*Ib'8_=<='."`86R?c"`8RR 0 http://ductam_tp.violet.vn/ ( ) ( ) ( ) 5 5 5 5 2 3 2 5 10 0 0 1 1 1 k m k m k m x x x x x C C x + = = + + + = + + = ∑∑ N 9 a +,'*T'*`d >=82 0 9 1 8 2 7 3 6 4 5 5 4 5 10 5 10 5 10 5 10 5 10 5 10 9 5005a C C C C C C C C C C C C= + + + + + = e%Nf'*JB'*T7: ( ) 3 3 3 1 1 3 (1 )(1 ) 8 8 4 1 1 3 (1 )(1 ) 8 8 4 1 1 3 (1 )(1 ) 8 8 4 3 1 (1) 4 2 a c b a b c b c a b c a c a b c a b VT a b c + + + + ≥ + + + + + + ≥ + + + + + + ≥ + + ⇒ + ≥ + + ]J=K'*"82 1 1 1 1 8 8 8 1 a c b a b c abc + + + = = ⇒ = = = = MA8 3 3 3 (1) (1) 2 4 4 VT VT≥ − ⇔ ≥ ⇒ Z=%T'*' . )(1 ) 8 8 4 1 1 3 (1 )(1 ) 8 8 4 1 1 3 (1 )(1 ) 8 8 4 3 1 (1) 4 2 a c b a b c b c a b c a c a b c a b VT a b c + + + + ≥ + + + + + + ≥ + + + + + + ≥ + + ⇒ + ≥ + + ]J=K'*" 8 2 1. − ; 7 5 1 5 9 5 13 5 a b m n = = = = − MA8+G'*B'*Ib' 8_ =<='." `8 6R?c" `8 RR 0 http://ductam_tp.violet.vn/ (. ∫ 5' 1 1 2 1 2 5 dt I t t − = − + ∫ Y; 0 1 4 1 1 tan 2 2 8 t u I du π π − − = ⇒ = = ∫ MA8 2 3 2 ln 3 8 I π = + − 6J8=-Z'2'*P>?>& (
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