ĐÁP ÁN VÀ ĐỀ THI THỬ ĐẠI HỌC - TRƯỜNG THPT NGUYỄN HUỆ - ĐẮK LẮK - ĐỀ SỐ 151 docx

 TRƯỜNG THPT NGUYỄN HUỆ ĐỀ THI THỬ ĐẠI HỌC MÔN TOÁN NĂM 2012 - 2013 Thời gian làm bài: 180 phút. I. PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7,0 điểm) Câu 1.(2,0 điểm)    y x x= − + −  ( ) C a !"#!$#%%&'()*+, b. -'.'/0#12#13456789:;*<'() ( ) C =!'!.>?# !@A7B:C DC,*E***@1F**+,!">G5"#%H!'() ( ) C =!D%'=1!I)#J#K Câu 2.(2,0 điểm)!!**>/L#1I-#,G4 a.  !#  * M!# 7 :*   N *  x x x x x − − + − + + = + b. ( ) OMN    +−=+ xxx Câu 3.(1,0 điểm)E#4 ∫ + dx x x  *N ,# Câu 4.(1,0 điểm)-#*F>AD*FPAD%GQ#1*?#=!CAD6,C  NOa SB = R! SIR#1?PADC ⊥ 7AD:E#.E*T!*F>AD%T#1**U'!.D '"#>7A: Câu 5.(1,0 điểm)*,C C*3/L#1J,V#,; ;*6W#1!#IX#14       N    a b c a b b c c a + + ≥ + + + II. PHẦN RIÊNG (3,0 điểm): Thí sinh chọn một trong hai phần ( A hoặc B) A. Theo chương trình chuẩn Câu 6.a(1,0 điểm)   9 5 YS!>7Z:4 N N[ M + =  %'!.A78MB8N:CD78NBN:\*')#R,'] '!.^G]*7Z:,*3!@#E*P^DASH##K Câu 7a.(1,0 điểm)!!>/L#1I-#4S1  79  _O:;S1  79;:  8S1  79_:  6O Câu 8.a(1,0 điểm)W#1!#IX#14 :`#7:N7 a#N### # OO #  #  # ∈∀+=++++ − B. Theo chương trình nâng cao Câu 6.b(1,0 điểm)I#1b>2#1R,']95C*-#%GQ#1ADC'!.7B8:%'!. AG]*'/0#12#1349;586cR!^SIG#1'!.*+,DC'/0#12#1^>/L#1 I-#49_5_6c \*')#R,']**'!.ACDC Câu 7.b(1,0 điểm)!!>/L#1I-#4 cd:N97S1:N97:N97S1:N9[7     N =−+−+++ Câu 8.b(1,0 điểm)I#1T,!I!.# NO O :M7 − *F ,#!$G=#1SeGf Hết Cán bộ coi thi không giải thích gì thêm gR%$#E!#4 3,# CÂU Ý NỘI DUNG ĐIỂM Câu 1 a. 8\46h 8 !"#!$#4;!H!=#=!%Q**4 B S! S! x x y y →−∞ →+∞ = +∞ = −∞ ;!iG !"#!$#4   9 c 5j 9 ;[9B 5j c  9  =  = − = ⇔  =  g#1)* !"#I$#k!T#178lBc:%7B;l:C'(#1 !"# I$#7cB: g'=**!.G=!96cB5  68B'=**'=!=!96B5  6  8D#1 !"#!$#4  9 8lc;l 5m 8c;c8 5 ;l  88l  cCM cCM cCM  ()4^]'!.G]*'()47NBc:C78NB:C7B8:  cCM b. n/L#1I-##']1!,'!.*+,3%7:4 89  ;9  86789:;7N:    =−−−= = ⇔ :7c99:97o 9  cCM /0#12#13*<'()(C)=!'!.>?# !@ ⇔ >7N:*F#1!@ >?# !@ ⇔ >7:*F#1!@>?# !@T*      ≠ −> ⇔    ≠− >+ ⇔    ≠ >∆ ⇔ c O p  c cpO c:7o c cCM g#']'!.D%S#1!@*+,>7: ,*F49 D ;9  6N%9 D 9  688 E*@1F**+,!">G5"#%H!'()(C)=!D%S4 5m79 D :5m79  :679 D   8[  9 D :79    8[9  : 6p7;N:  8pq8p { } cr:B O p 7 +∞ − ∈∀ KGs6s9t5I,T! cCM cCM 68Nu55m79 D :5m79  :#J#K X#18p'='/v*T!68N CÂU Ý NỘI DUNG ĐIỂM Câu 2 a. !iGT!@#4   9* −≠  n/L#1I-#'V*/L#1'/L#1%H!4  c9*9!#M9*9!# =+−−−       =+ = ⇔=−+−⇔ =+−+−⇔ 9!#9*  N 9!# c:9!#9*:7N9!#7 c9!#M9!#9*9*9!#  cCM cCM π+ π =⇔= π +⇔=+       π+ π = π+ π = ⇔= T [ 9N:  9!#79!#9* T [ M 9 T [ 9  N 9!# !*!"G'!iGT!@#6w#1!@*+,>/L#1I-#S π+ π = T [ 9  cCM cCM b. n/L#1I-#'V*/L#1'/L#1%H!4 O99MN99 O +−=++  :979O:979  +−=+⇔ b   :979:979:979   =+⇒+=⇒+= n/L#1I-#Ix#    = −= ⇔=−+⇔−=  O cyO     cCM cCM 9 9 c9 cy99 c9 O:979O O  −=⇔    = < ⇔    =−+ < ⇔−=+⇒−= N9 N9 c9 c99 c9 :979  O  +−=⇔    +−= > ⇔    =−+ > ⇔=+⇒= cCM cCM Câu 3  ∫ ∫∫ + = + = + = 39 :9*N79* 9*9!# 39 :9*N79* 9!# 39 9*N 9,#   b6*  x6w368!#x*x3x  N N N N 7 :  7 N:  N dt I dt t t t t = − = − + + ∫ ∫ N N N 7S# z Nz S# z z: S# z z   t t t c c t + = + − + = +   N N * S#7 :  x c cox x + = + cCM cCM cCM cCM CÂU Ý NỘI DUNG ĐIỂM Câu 4 Câu 5 a.  D A8  R!SIG#1'!.*+,AD6w  ,   ,  ==>= PD%GQ#1=!6wD  6  ;D  6  ,M  PD%GQ#1=!6w  6D  8D   6,  6w6, O , ,  ,   N ,  N   N   ADAD  === ∆ {||D7∈A:⇒A⊥7:⇒⊥A P%GQ#1*?#=!⇒6!#OM c 6  ,  P%GQ#1=!⇒  [,   =+=  PA%GQ#1=!⇒  , AA  =+=   PA  O , A  N  ==    7 B7 ::  S ABC SAC V d B SAC a S ∆ = =  , p O p  , :N,,7 p  , ,   , ,  ,  , , ,  , , ,    [      −−= ++−≥ −=−≥ ++ −= + /L#14  *, p O , p  * ,* * B * p O * p  *     −−≥ + −−≥ + 'F  N  :* ,7 p O  d :*, *, 7 p O :* ,7 p  :* ,7 ,* * * , ,        = ++ −≥ ++−++−++≥ ++ + + cCM cCM cCM cCM cCM cCM cCM cCM CÂU Ý NỘI DUNG ĐIỂM Câu 6a n/L#1I-#'/0#12#1AD4985;6c AD6 M !}^79  B5  :∈7Z:⇒M9   ;N[5    6yc M z59z cc +− = AB)d(M; z59z:ADB^73AD  N cc^ −−== ∆ S AB ,*F4 pz59zp59 [59[[z59z [:5N[9M:7 O N M N 7:5O  N 9M M N 7 cccc cccc  c  c  cc ≤+−⇒≤+−≤−⇔ ≤−≤−⇔≤−⇒ =++≤−        −= = ⇔    =− −= ⇔        =+− − = ⇔= ∆  M 5  y 9 [59 5y9M p59  N 5O M N 9M p c c cc cc cc ^ S AB u5'!.^*~#-S4       −  M B  y ^ cCM cCM cCM cCM Câu 7a !iGT!@#9wb*9•8 n/L#1I-#'V*/L#1'/L#1%H!4 S1  79  _O:  ;S1  79;:  8S1  79_:  6O  ⇔ OS1  79;:  6O ⇔S1  79;:  6N⇔79;:  6 ⇔9  ;O9;N6c     −−= +−= ⇔ 9 9 !*!"G%H!'!iGT!@#⇒#1!@*+,>/L#1I-#S9688  cCM cCM cCM cCM Câu 8a ,*F4 7N;9: # 6 ## # N#N# N#  # N # c # 9999 +++++ −− − 7N89: # 6 ## # N#N# N#  # N # c # 9999 +−−+− −− −  [ ] ## #  # c # ## 99:9N7:9N7 +++=−++⇒ 96,'/v*4 #### #  # c # :7O:7 −+=+++  ⇒ :N7  O  #N# ## ## #  # c # += + =+++ − cCM cCM cCM cCM CÂU Ý NỘI DUNG ĐIỂM Câu 6b A∈3⇒A7B8: ,*F437B^:6  N 37AB^:⇒zO8Oz6y⇔z8Nz6    −= = ⇔ N  6⇒A7C8d:7S=!%-AC>!T*>E,'!^: 68N⇒A78NCM:7J,V#: !}7B8: :BM7M :N7:7:d7:N7 c:N:7d7::7N7 A A  ⇒=⇔    ++−=−++ =+−+−+ ⇒      = ⊥ R!S?*+,-#%GQ#1⇒SIG#1'!.*+,A⇒7NBN: SIG#1'!.*+,D⇒D78B8N: cCM cCM cCM cCM Câu 7b !iGT!@#9w8N n/L#1I-#'V*/L#1'/L#1%H!4     =++ −=+ ⇔=−+−+++ d:N97S1:N9[7 N:N97S1 cd:N97S1:[9[7:N97S1:N9[7        N 9  N N9N:N97S1  −=⇔=+⇔−=+ 7J,V#'!iGT!@#:  c N9[ d :N97S1d:N97S1:N9[7  = + −+⇔=++  \€ N9[ d :N97S1:97o  + −+= I$#78NB;l:  j  N O N 7 : c 7 NB : r 7 N: S#  7[ N: [ f x x x x   = + > ∀ ∈ − +∞ −   + +   g'(#1 !"#I$#k!T#1 : [ N BN7 −− % :B [ N 7 +∞− ⇒I$#k!T#1 : [ N BN7 −− % :B [ N 7 +∞− #"G>/L#1I-#o79:6c*F #1!@-'FS#1!@3G5#K =!*Fo7N:6cBo78|O:6c⇒96c%968|OS#1!@*+,>/L#1I-# o79:6c u5>/L#1I-#'V**F#1!@ N  x = − B96cB968|O cCM cCM cCM cCM Câu 8b ,*F4 NO N N NO [ NO O  O  O NO c 7  M:  M 7 N:   M k k k k k C − =   − = − = −  ÷   ∑ cCM cCM =#1W7T;N:SeGf [  O c NO k N k N k N k  − ∈    ∈ ⇔   ∈   ≤ ≤   O c N k i i N i =   ⇔ ∈   ≤ ≤  ⇒!∈•cBNB‚BNƒu5*F=#1eGf cCM cCM .  TRƯỜNG THPT NGUYỄN HUỆ ĐỀ THI THỬ ĐẠI HỌC MÔN TOÁN NĂM 2012 - 2013 Thời gian làm bài: 180 phút. I. PHẦN CHUNG CHO TẤT CẢ CÁC. +∞− #"G>/L#1I-#o79:6c*F #1!@ - 'FS#1!@3G5#K =!*Fo7N:6cBo78|O:6c⇒96c%968|OS#1!@*+,>/L#1I-# o79:6c u5>/L#1I-#'V**F#1!@ N  x. điểm)!!>/L#1I-#4 cd:N97S1:N97:N97S1:N9[7     N =−+−+++ Câu 8.b(1,0 điểm)I#1T,!I!.# NO O :M7 − *F ,#!$G=#1SeGf Hết Cán bộ coi thi không giải thích