ĐỀ THI THỬ ĐẠI HỌC - 2013

   Thời gian làm bài: 180 phút  !"#$(7,0 điểm) %&(2 điểm)      x y x − = −   !"#$% &'()#*+,- &'.#  / %&(2 điểm)  0 !"#$%  1   2  3/  4      x x x x π π + + = + +  05 !"#$%6 7 3   3    x x y x y x y x xy  − + =   − + = −   %&(1 điểm)'899 :6,; 7 4  /<   x x dx x π ∫ %&((1 điểm)' %= >/?@='?@<#&A#B?C?@;(D< #:BE>/FD G#>?@>?H#BCD G#'#=24 4 /89I #=#JD G#>?@>@/ %&('(1 điểm)((<K!"#LMNN;/O#$.#6  3 a b b c c a ab c bc a ca b + + + + + ≥ + + + (3 điểm)Thí sinh chỉ được làm một trong hai phần (phần A hoặc B) ) *+,-*./01230**&40 %&(5(1 điểm) 8$#D G#PQRS'+?-!T#G# ∆ 6SN3'N7;4/ 8 U PQ+@&Q!T#G# ∆ !T#G#?@ ∆ V C&#W7X 4 / %&(5(1 điểm6'8$#)A##C5PQRS'Y(+Z-[- !T#G#    6   3 x y z d + = = − −   7  \6   X x y z d − − = = O#6+Z(K(K]H#.$QD G#/ !"#^D G#=/ %&(5(1 điểm) 0 !"#^6    7  7  7  <# <# + + + + = x x x x x log x x x  *+,-*./012780*%01-5, %&(9(1 điểm) 8$#D G#PQRS'!T#L_`    6 C x y+ = (!T#G#   6 4d x y m+ + = /8 U % m +  C a  d B?@K59#?@R<Cb/ %&(9(1 điểm) 8$#)A##C5PQRS'Y(D G#6 c6Sd'NYN;4(e6Sd'NYN3;4(f6SN'd3YN;4 !T#G#  ∆ 6   − −x ;  +y ; 3 z /0P  ∆ <#&'ce/  !"#$%!T#G#K&A##=Cfa!T#G#  ∆ (  ∆ / %&(9(1 điểm) 0b !"#$%6<# S <# 3 g S d1 ≤  [[[[[[[[[[F[[[[[[[[[[  %&':h8i S6 { } j D = ¡ h89   \ 4   y x D x − = < ∀ ∈ − F#$)#  -−∞  - +∞ hF)A#=$ h0CB x Limy + → = +∞  x Limy − → = −∞   x Lim y →+∞ =   x Lim y →−∞ = k=5iO#6S;(5i##'; h@# h %&':;8 &'B+ 4 4  -    M x f x C∈ = !"#$% 4 4 4 \    y f x x x f x= − + F'   4 4 4      4x x y x x+ − − + − = h h#*+,- &'h.#   4 7 4       x x − ⇔ = + −  #!V#5 4 4x =  4 x = i'6 &'l%6  4x y+ − =  X 4x y+ − = %&':h@m !"#$%=!"#!"#C  3  4   2 4 2 c x x c x π − + + + =    X   3 4 3 2 c x c x π π ⇔ + + + + =      X    4 2 2 c x c x π π ⇔ + + + + = /0!V    2  c x π + = −     2 c x π + = − <B h0    2  c x π + = − !V#5   x k π π = +  X  2 x k π π = − + %&':h@m5!"#!"#C   3 3        x xy x y x y x xy  − = −   − − = −   hkDn I  3 x xy u x y v  − =   =   (!V5    u v v u  = −  − = −  h05$!V#5&-<6-4 [-[3h8*=#!V#5S-'<-4[-4 %&';<22=-,>?89K;[SKS(miS;4o;( 7 x π = %   t = 8*=         < <t t I dt dt t t = − = ∫ ∫ hkD   < -u t dv dt t = =    -du dt v t t ⇒ = = − >&'$           < <       I t dt t t t = − + = − − ∫ hp&    <   I = − −  %&@';(A*80* h0PF<$&#+@(O#  SH ABC⊥ hqW##=#JD G#>?@(>?CD'< 4 24SEH SFH= = hr HK SB⊥ (<i <&i&'$#=#JD G#>?@>@.# HKA / hsi <&i9!V?;?@;(   a HA = ( 4 3  24  a SH HF= = h8#>F&A#BF=       3 4 KH a HK HS HB = + ⇒ = h8#?F&A#BF=  4   3 3 4 a AH AK H KH a = = =  3  3 AKH⇒ =  %&B6h@m       a b c c ab c ab b a a b + − − = = + + − − − − h8*=             c b a VT a b c a c b − − − = + + − − − − − − t((K!"#NN;((&Q)#4-;u[([([K!"# h KI#bG#OAK!"#!V 3    3/ / /          c b a VT a b c a c b − − − ≥ − − − − − − ;3  kG#OS'$)E)  3 a b c= = = %&C5'h ∆ = !"#$%  3   x t y t = −   = − +  =   3-u = − ur h?&Q ∆   3 -   A t t⇒ − − + h8=?@- ∆ ;7X 4    -   c AB u⇔ = uuuur ur  /   / AB u AB u ⇔ = uuuur ur ur   X 3 2g X2 7X 4 3 3 t t t t⇔ − − = ⇔ = ∨ = − h+l%<   3 7  3  - (  -  3 3 3 3 A A− − %&D5';EKp&  4- -4M − =   - - 3u = − − uur K]p&  4--7M =   --Xu = uur h8=   -  7- v-7u u O   = − − ≠   uur uur ur (   4--7M M = uuuuuuur qw     - / 2 7 4u u M M   = − + =   uur uur uuuuuuur  KK]# G#/ h0Pc<D G#OKK];ucW  -- n = − ur p&Z  = !"# $%   4x y z+ − + = htxb'+Z-[-&Qyc(*==  %&F5'hkz&)56Su4 h8F6SwS;<#5 h8F6Sw x ≠ (m !"#$%!"#!"#C      <# 7   <# 7  <# 7  x x x x x x + = + + + + + kD <#   x x t+ = (!V !"#$%6      t t t + = + + #!V;;[{3 hC; <#    x x⇒ + =  !"#$%'A#5 hC;[{3  <#   3 x x⇒ + = −   3 /7  x x⇔ + = h |ib'  v x = <#5h|&  v x > %8hu |&  v x < %8h}(i'h=#5K&'b  v x = h<&i6#5 !"#$%=<S;  v x = %&C9';E=:R4-4()9f;hKaB+ :5  -  d O d⇔ < h8=    / / /    OAB S OAOB AOB AOB= = ≤ 8*=K59#?R@<Cb)E) 4 g4AOB =   -   d I d⇔ =  m ⇔ = ± %&D9'h  ∆ = !"#$%    3 x t y t z t = −   = − +   =  h  ∆ = !"#$%  X 3 x s y s z s = +   = +   =  h0~   -d A d B∩ ∆ = ∩ ∆ =    -  -3 @N-XN3-A t t t⇒ − − + h   -3 2- 3 AB s t s t s t= + − + − uuuur (yf=  -- 3n = − ur h   •d R AB n⊥ ⇔ uuuur ur H# !"#  3 2 3   3 s t s t s t+ − + − ⇔ = = − 3 7 t⇒ = hKp&   3  - -    v A =  -- 3n = − ur ;uK= !"#$% 3   v     3 z x y − − − = = − %&F9';GH&IGJ06 3 4 <# g 1 4 g 1 4 x x x >   − >   − >  #!V g <# 13x > % g <# 13x > u =!"#!"#C 3 <# g 1 x x− ≤  g 1 3 x x ⇔ − ≤  3 v 3 g x x  ≥ −  ⇔  ≤    x ⇔ ≤ h<&ii #56 g <# 1-€T = . 3  - (  -  3 3 3 3 A A− − %&D5';EKp&   4- -4 M − =    - - 3u = − − uur K]p&   4- -7 M =    - -Xu = uur h8=   -. +   = +   =  h0~   -d A d B∩ ∆ = ∩ ∆ =    -  -3 @N-XN3 - A t t t⇒ − − + h   -3 2- 3 AB s t s t s t= + − + − uuuur (yf=   - - 3n = − ur h   •d R AB n⊥. −  h05$!V#5& ;- <6 -4  [ -[ 3h8*=#!V#5S-'< -4 [ -4  %&';<22 =-, >?89K;[SKS(miS;4o;( 7 x π = %   t