Đề thi thử ĐH năm 2011 môn Toán

Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 1 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I ( )   ++++= xmmxxy    !"#$%&  '()*"#+,-#!"./01%& 2,34 Câu II5+67)*()1%)189  1 5+67)*(  + x 8 x − %    − x 1 ∈ : Câu III'*)$;))<=>0?1-@6A)B)C D  C       − = − = − zyx D  C    =−+− =+−− EFGG EGGH zyx zyx  I)*J)D  D  K,  5>L)#D  D  '(>03MN6O,0D  D   )L3MP.L/D=QJ) 9 9  Câu IV 'QQ+PL% ∫ − +      x xdx 5+67)*(  9  π −x e %)1 PHẦN RIÊNG Thí sinh chỉ được làm 1 trong 2 câu: V.a hoặc V.b Câu V.a. Theo chương tr;nh KHÔNG phân ban  R+O+S% { } FH9E TU/,V)!9W$ ,6OR+XW#SY  '*)Z+B)<=>0?1-)3M6A)$[X\M 6A)+P)*)#)/3N6O/+67)*(189-8E%E1&-8 %E4]E4,06A)B)3M!)A0$)J)   '(>0\,)3M Câu V.b. Theo chương tr;nh phân ban  5^+67)*()   E   )  ≥       + + x x  (/+_3M/-)3M,;)P.\MM3%M% (,,;))/#_*Z+B)-3M*,)S#3M_S% 5>L`N6O*,)#S_4]D0)*#M3 )/S ] a % α  α bcE E T(,,;))/#_*]'Q Q#$ID=STL`d α ( α Q/<^ Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 2 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I Fe 9 +−= xxy    !"#  '()*"#6A)B)-%1fc+1g<!"#  Câu II5+67)*(    9  9  +       −=       − ππ xx 5^+67)*(         x x x − >+ − Câu III'*)$;))<=>0?1-@Z+B)hC18-f@8%E 6A)B)  H c  C + == − zyx d 394E4M&4&444G  i+67)*(ZN,_2,3M/P,0Z+B)h  i+67)*(Z+B)jI6A)B)DKZN,_d06A) *k/$Q<^ Câu IV'QQ+P  9   E ∫ −+ = π xx xdx I I)*J)+67)*( ( ) 99  =+ x x /g))=+P= PHẦN RIÊNG Thí sinh chỉ được làm 1 trong 2 câu: V.a hoặc V.b Câu V.a. Theo chương tr;nh KHÔNG phân ban  '(=#.)I1 H *)$*"Il,7#81  *J) EE  =+ nn AA ),-D67) k n A \O+R+$#+Nm  '*)Z+B)<=>0?1-6A)*kC   =+ yx '()*" #*6A)B)-%!.g)Xn/$[6O +,-<)/)W+,-/J)GE   Câu V.b. Theo chương tr;nh phân ban 1. 5+67)*(  G c) )          −=+ x x x x 2. (/+_3MnZ0),;)_3%_M%_%5>l ]SN6O*,)#.3M3M4o1I)#_2,S4L )#6A)B)3o<Z+B)_]lI)*J)3o,;))/ <_LQdQ#$ID=]M_L Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 3 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I 3 1 (1). 1 x x + +   !"#  'QD=Q#).p*q>0+,-<!". ]&4H Câu II5+67)*( E99 99 =+++ xxxx 5^+67)*(181&   ++− xx bf1&   Câu III'*)$;))<=>0?1-@Z+B)  α C1f-8@8%E6A)B)DC      − = − = − zyx  '(>0)#D< α 4Q#)/)WD α   i+67)*(ZN,/P,0D+1g<Z+B) α ?1- Câu IV'QQ+PL%  9  E   dx x x xe x ∫         − − 1-UrE  π ≤≤ x E  π ≤≤ y I)*J) 18- ≤ 81- PHẦN RIÊNG Thí sinh chỉ được làm 1 trong 2 câu:V.a hoặcV.b Câu V.a. Theo chương tr;nh KHÔNG phân ban  I)B)I   E  8& &   1 n C 8s8  − n n % & ),-D67) k n tO+R+$#+Nm  '*)Z+B)<=>0?1-6A)*kC1&9  8-  %9S94 '(>0]**q,)X]$[6O+,-]3]M6A) *k<3M+6A)B)3M2,S Câu V.b. Theo chương tr;nh phân ban  5^+67)*( EG 9  ≤−− −−−− xxxx  ID=3Mo]lhN6O,0.MMo3M% 9M]3%3hMo%Ml]Z+B)]lhK3o.j'Qu AD AQ u Q+N#$ID=3Mo6O+PpZ+B)]lh Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 4 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I        y x x m m x= − − + − <   !"#$%E  '()*"#/)*"*"v)D^, Câu II5+67)*(      G  x x π π     + − − =  ÷  ÷      5+67)*( E   H c 9  x x x x + + − = + + − x∈ ¡  Câu III'*)$;))<=>0?1-@3H494MG4F4 6A)B)     C     x y z d − − − = =  i+67)*(6A)B)D   2,3MI)*J)6A) B)D  D  w,  '(,0D  )3M/D=QU^'Q)*"U^ / Câu IV'QQ+P  E   9  x I dx x + = + ∫ D67)1-@Ur=I   yz x y z x + + = I)*J)      G x y z − ≤ + PHẦN RIÊNG:Thí sinh chỉ được làm 1 trong 2 câu : V.a hoặc V.b. Câu V.a Theo chương tr;nh KHÔNG phân ban (2 điểm)  ),-UrB)I   H    n n A C n n + = − − x  k k n n A C N6O \O+tO+R+$#+NmTr-Qt)            n n n n n S C C n C = − + + −  '*)Z+B)<=>0?1-)3M< H  4 AB C = − − 6A) B)3M/+67)*(18-f%E*>)P#)3M,06A) B)18-f%ETr-(>0\3M Câu V.b Theo chương tr;nh phân ban (2 điểm)  5+67)*(    )   ) c  x x+ + − =  (/+_3Mo/-3Mo(,;).J) SA a= _3 ,;))/<Z+B)-'QdQ$ID=_3oQ# )/)W6A)B)_M3 Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 5 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I        x m x m y x + − + − = + <  !"#$% '()*"#!)*X)$)1"#/ Câu II5+67)*(    1%91   x x x + + 5=+67)*(  9  e     9 x y x x y R x y  − − = −  ∈  − =   Câu III'*)$;))<=>0?1-@ 34E4&M44&446A)B)DC  E 9 E x y x y z − + =   + + − =   '(>0o,06A)B)DQ#$ID=3Mo J)  i+67)*(#6A)B)2,*PT#)3M ,;))/<Z+B)3M Câu IV'QQ+P    E  9 x dx I x = − ∫ ),-x$;)P1-I)*J)     n n n n n n x y x y + + + + ≥ + yB)I1-*$Y PHẦN RIÊNG : Thí sinh chỉ được làm 1 trong 2 câu: V.a hoặc V.b. Câu V.a. Theo chương tr;nh KHÔNG phân ban (2 điểm)  I)*J) E     E              n n n n n n n n n C C C C n n n − − + − + + + + = + +  ),-D67) k n C tO+R+$#+Nm  '*)Z+B)<=>0?1-34EME49I) *J)6A)*k0+)?3M+1g<6A)*k2,*,) .#)?3M Câu V.b. Theo chương tr;nh phân ban (2 điểm)  5^+67)*(       HG E x x x + + − − ≤  ID=3Mo/Z3M3Mo)z,. Z3oMo,;))/<,Tr-QdQ$ID= 3MoQ#)/)W6A)B)3oM Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 6 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I ()     y x x mx= − + + −    !"#$%E  '()*"#!)*$)E4 Câu II ()  5+67)*(        9 tg x tgx x tg x π +   = +  ÷ +   '(^)*"#+67)*(  9  9 x x x m + + − + = /g) 0)= Câu III () '*)$;))<=>0?1-@3H4H4E6A)B)   F C    9 x y z d + + − = = −  '(>03 { 1I)<32,6A)B)D  '(>0M,0D)3M,;).M% c  Câu IV () 'QQ+P   E   x I x x e dx = + + ∫  5=+67)*(       G GE H E G GE H E G GE H E x y x y y z y z z x z x  − + =  − + =   − + =  PHẦN RIÊNG. Thí sinh chỉ được làm 1 trong 2 câu: V.a hoặc V.b Câu V.a Theo chương tr;nh KHÔNG phân ban ()  /,)!9W$,nz,<7HEE  '*)Z+B)<=>0?1-(>0\#)3M*J) 6A)B)3M6A)$[X36A)*,),-$[XMN6O/+67) *(189-f%E1f-8F%E18-fc%E Câu V.b Theo chương tr;nh phân ban ()  5+67)*( ( ) ( ) H   H    x x x + + − =  (/+_3M/-3M),;)P.\M3M%_3% _3,;))/<Z+B)-]Z+B)2,3,;))/<_K_M_ N6O.T'QdQ$ID=_3T Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 7 I. PHẦN CHUNG CHO TẤT CẢ THÍ SINH (7,0 điểm) Câu I (2,0 điểm):    x y x + = +    !"#r  I)*J)<>|E6A)B)-%18,;K!". +P=*)//0)/0U7& Câu II (2,0 điểm): 1) 5+67)*( ( )         x x x x − + = − + 5^+67)*(   )  )   H 9EE + + < x x  Câu III (1,0 điểm): ( ) ( ) ( )    x f x x e = + +  'QD=Q#(+B))<.p!"#}1*q*q,) 6A)B)1% Câu IV (1,0 điểm):~w(/+_3Mo/_3%_M%_o%o3%3M%M%o% MQ#$/+_3MoJ)   G a Q0D._d Câu V (1,0 điểm):=#1 9 1 H 1 G *)$*I#,I 81  dI/R+0^+0)'(),-D67) II. PHẦN RIÊNG (3,0 điểm) 'Q\6O0*)+N+NZ+N  'd67)*(,• Câu VI.a (2,0 điểm):  '*)Z+B)<=>0?1-6A)B) D  C18-f%ED  C18-f9%ED  C1f-f%E i+67)*(6A)*k/P,0D  +1g!)A<D  D    '*)$;))<=>0?1-@344&6A)B)D/ +67)*(C      x t y t z t = − +   = −   = − +  i+67)*(#6A)B) ∆ 2,3K,;))/<D Câu VII.a (1,0 điểm):/HI)D0$(,-P#0;)-€ +N)6A6nI)E+)(D$Q*)n+)(/ 0P,U$*+)($,)P,U$,4I)> 0+)(*)/1"P,U$*#(M*J)+)(/ (I))=,0EP,U$*DI)6, r-Q1,^HP,UHI)>;0$,  'd67)*(lP) Câu VI.b (2,0 điểm):  '*)Z+B)<=>0?1-)3M/6A)+P)$[X3 6A)*,),-$[XM6A)$[XN6O/+67)*(C -%E91f-f%E18-%ETr-1">0#\3M  '*)$;))<=>0?1-@6A)B)D/+67)*(C       x y z − − + = = − Z+B)C hC18-f@8%EjC1&-f@8%Ei+67)*(ZN,/P,0D +1g!)A<Z+B)hj Câu VII.b (1,0 điểm):'(+N+N#+I@    z i= − +  Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 8 I. PHẦN CHUNG CHO TẤT CẢ THÍ SINH (7,0 điểm) Câu I (2,0 điểm):-%1 9 f1  f   !"#r  o!"=,Rd)=#+67)*(1 9 f 1  ff9%E Câu II (2,0 điểm):  5+67)*(1f1%e1  18  5^+67)*( ( )  c    )  )  )  x x+ − − − < Câu III (1,0 điểm): ( ) ( )   f x x x= +  'QD=Q(+B))<.p!"#}16A)B)1%1 %d  *q Câu IV (1,0 điểm): (/+_3M/-3M),;).MM% 3%4._3,;))/<Z+B)-/0DJ) a 5>T (,,;))/#3*6A)B)_M'QQ#$ID= T3Md Câu V (1,0 điểm): '(^)*"#^+67)*(,/ )=C ( )      x x a x x+ − ≤ − −  II. PHẦN RIÊNG (3,0 điểm) Thí sinh chỉ được làm một trong hai phần (phần 1 hoặc 2) 1. Theo chương tr;nh Chuẩn Câu VI.a (2,0 điểm): '*)Z+B)<=>0?1-6A)B)D  C1 8-f%E D  C1f-8%E'*D  ^-]*D  ^-l  EOM ON + = uuuur uuur r '( >0#]l '*)$;))<=>0?1-@(+I)z,_3Mo/_%4 493%44%4E4'(>0PZN,).+(/+r Câu VII.a (1,0 điểm): '.0,-.>B)/E+k)4)!H+k)n+k) /HQH+k)k.n+k)/GQ_,0,t0+/) *,-z(>)•,HQ+U)^5mnQz,/ 1,^6O>+U)^6,Q1,^HQ6O>+U) ^,0v)0+k) 2. Theo chương tr;nh Nâng cao Câu VI.b (2,0 điểm):  '*)Z+B)<=>0?1-d+S/+67)*(    G c x y + = i +67)*(QK#6A)B)D2,L4KS. ]lL*,)#.B)]l  '*)$;))<=>0?1-@3446A)B)C   9 C 4       C     − = = − − + = = − x y z d x y z d i+67)*(QK#6A)B)D2,3KD  ,;))/<D   Câu VII.b (1,0 điểm):5+67)*(1  8Hf918f%E*R++I Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 9 I. PHẦN CHUNG CHO TẤT CẢ THÍ SINH (7,0 điểm) Câu I (2,0 điểm):-%&1 9 81     !"#r  o!"(^)*"#+67)*( 9   9 Ex x m − + − = /)=+P= Câu II (2,0 điểm):  5+67)*( 9 1f1%8111  5+67)*( ( )  c    )  )  )  x x+ − − − =  Câu III (1,0 điểm):'QD=Q#(+B))<.p!"# ( )  y x x= + 6A)B)1%1%d  *q Câu IV (1,0 điểm):(/+_3M/-3M)P.M3% · E EABC = M*J)_3%_M%_)/)W6A)B)_3Z+B)3M J)GE E 'QQ#$/+_3Md Câu V (1,0 điểm):'(^)*"#^+67)*(,/ )=C ( )      + − ≤ − −x x a x x  II. PHẦN RIÊNG (3,0 điểm) Thí sinh chỉ được làm một trong hai phần (phần 1 hoặc 2) 1. Theo chương tr;nh Chuẩn Câu VI.a (2,0 điểm):  '*)Z+B)<=>0?1-6A)B)C1&  8-8  %c 6A)B)DC1f-8%E'*^-]*D^-l) >0?*,)#]l'(>0#]l  '*) $;))  <=>  0?1-@]44   6A)B)   C    x t d y t z t = +   = +   =  '(>0#]{1I)<]2,6A)B)D Câu VII.a (1,0 điểm):yz67);R+,‚;ƒ"m<+/9EP,Uyz ,‚)!P,U*)9EP,/]0>)-\;E P,*)z67)5mnP,Uz,/1,^6O>z6, Q1,^P,U#z,‚z,J*)EP,U> /*r; 2. Theo chương tr;nh Nâng cao Câu VI.b (2,0 điểm):  '*)Z+B)<=>0?1-6A)*kC18  8-&  % 6A)B)DC1f-f%E'*^-]*D^-l] l1I)<,2,*q?1'(>0#]l  '*)$;)) <=> 0 ?1-@ 34&49 6A)B)    C    x y z d − + − = = − i+67)*(ZN,P3+1g<D Câu VII.b (1,0 điểm): +I@Ur      i z i − = − '(;,#+I z iz + . Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 1 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I ( )   ++++=. (/+_3M/-)3M,;)P.MM3%M% (,,;))/#_*Z+B)-3M*,)S#3M_S% 5>L`N6O*,)#S_4]D0)*#M3 )/S ] a % α  α bcE E T(,,;))/#_*]'Q Q#$ID=STL`d α ( α Q/<^ Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 2 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I Fe 9 +−=. (/+_3MnZ0),;)_3%_M%_%5>l ]SN6O*,)#.3M3M4o1I)#_2,S4L )#6A)B)3o<Z+B)_]lI)*J)3o,;))/ <_LQdQ#$ID=]M_L Đ ÔN THI TUYN SINH ĐI HC, Môn TON - Đ 3 PHẦN CHUNG CHO TẤT CẢ THÍ SINH Câu I 3 1 (1). 1 x x + + 