Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 ĐỀ THI THỬ ĐẠI HỌC SỐ 27 Ngày 16 tháng 1 năm 2013 PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH ( 07 điểm ) Câu I         y x mx m= − + 1.  ! 2. 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A/ Phần đề bài theo chương trình chuẩn Câu VI.a:1 1,"5+P3/+<E'DOxyU03-4+56$$$'$Y&&+$ABC5$M >H $M +$&'ZCBF > K 5(+$'ABF >M 1 2,"6E$Y&'+$*& 9 x 5+ &5   n x x   +  ÷   5[+    ; 9 n n n A C n − + − = + 1 Câu VII.a:1 23-4+567 ( ) ( )   :  ; F+   F+ ; F+ ;x x x + + = − + + B/ Phần đề bài theo chương trình nâng cao Câu VI.b: 11, "5+P3/+'D\)0$& +/+T  7;)]0]!T  7;)^ 0]!1"6'DM R +5_D3&+$$%$'[5T  T  5H$\01 2,@F3`7   ) 0  9 B + =  +/+T  7  )^;0! a)*+5[+ +/+T  $a@F3`'&3MEIJ1"6'D&% <_&D$Y&IW4D$Y&$Y&J1 b)"6O)>0(D$`&$&+$OIJ$%TER$[+1 Câu VII.b:12E3-4+567  F+   : 9 :  1 1 x x y x y y x + − + =    + =    Hết ]]]]]]]]]]]]]]]]]]]  b(0Ec'VA$:;c +b_("d"&V%& Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 HƯỚNG DẪN GIẢI ĐỀ 27 M(7!&$%       y x x= − + .Tập xác định: ¡ Sự biến thiên ]2<''L$$7 F x y →−∞ = −∞  F x y →+∞ = +∞ ]N(7"&$%  Q  y x x= − >  Q   x y x =  = ⇔  =  J+ ) −∞  +∞ 0K ^]^ 0     +∞   −∞ V+5 + ( ) >−∞  ( ) >+∞ V+$5 + ( ) >  ]$57V'$$'')!    CÐ y y= = V'$$(')! ( )   CT y y= = 1 Đồ thị:c$a5H$'  >    −  ÷   > ( ) > $a5H$(+'  >     ÷   1ce(   >  ; U    ÷   FM)*+1 Câu 1: 2" # $%&$$'$$()*+,(& +/+0!)1 "&$%0K!   x mx−   Q  x y x m =  = ⇔  =  c$%$$'$$( #  Q y = $%&+E3ME m⇔ ≠ 1%+f$$$$'$$(F7  >  m A    ÷    ( ) > B m "&$%7  >  m AB m   −  ÷   uuur >5(+g$Y&IJF7  >  ; m m I    ÷   "@0($h(IJ)*+<&(,(& +/+0!) #  +/+IJ(L++%$< 7 y x∆ = 5(+g$Y&IJ(D$ +/+ 1 AB u I ∆  =  ⇔  ∈∆   uuur uur       ;  m m m m m m  − =  =   ⇔ ⇔   = ±   =   c$(N( E&$% m = ± Câu 2: 1,"&$%7 $   x x k π π ≠ ⇔ ≠ + i< 3 ⇔  ( )    :$ 9      $  9$x x x x x+ + =    ;$     :$x x x⇔ + =  $    ; x x ⇔ + − =       x x⇔ − + = ( )     ; ; x k x k k π π π π ⇔ = + = + ∈¢ ie03-4+56G$$%+E =  >    x π π ∈ F  B > ; ; x x π π = = b(0Ec'VA$:;c +b_("d"&V%& Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 Câu 2: 2 ⇔      =−++ =−+−  ;   xyx yx ⇔      =−−++−+− =−+− ; ;   xyx yx      =−−++−+− =−+− ; ;   xyx yx Đặt    =− =− vy ux    * "&0&$%E3    =++ =+ :;1 ;  vuvu vu 2CE&-j$    = =   v u VP$    = =   v u "&0+&$%    = =   y x ;    = −=   y x ;    = = =  y x ;    = −= =  y x  Câu 3 : 8  =    x t + = k&$%3  : t t a− + =  i<&!8&$%  : t t a− + =    8⇔ = = d-4+56$%&+EF 8  =  ) ) F+ 8 + = = l+E$Y&3F+Ek$Y&3-4+56  :a t t= − + F$(+$Y& +/+0! &  :y t t= − + <k Fe3+$Y&%  :y t t= − + <k F(e3$C$%D+E &!9P$ a ≤  Câu 472A1OF6$($Y&IK5IJI $%7 ⊥ ⇒ ⊥( ' ) ( ) ' ( )AA B ABC A K ABC 1 "&$%IKO ⊥ IO ⊥ I · = 0 ' 60A MK   ='A K x 1&$% = − = − 2 2 2 ' ' 3AK A A A K x  O! · = − 2 2 sin 3 . 2 AK KAM x OP $ = = 0 ' cot 60 3 x MK A K e0&$%3 − = ⇔ = 2 2 3 3 . 2 3 5 x x x  Λ = = = . ' ' ' 1 3 5 . ' . . ' 2 10 ABC A B C ABC V S A K AC BC A K Câu 57            x y z M x y x xyz + + + = + + + = 1  ;  ;  ;  ;  ;  ; x x x y z x yz y y x y z xy z z z x y z xyz + = + + + ≥ + = + + + ≥ + = + + + ≥ ; ; ; ;     9; x y z x y z M xyz xyz + + + = ≥ 1mX(!)05& )!0!S!n Câu 6a7^c +/+AC (L++%$<HK e  > HK = − uuur F3AC,(&K   7  ; 1AC x y− + = "&$o+Tp$%7   7   BK x y+ − = 1 ^m A AC B BK∈ ∈ +f  ;>   >   1A a a B b b− − OP $ >M F 5(+$Y&AB&$%E7  ; 9   ; 1       a b a b a a b a b b − + = + = =    ⇔ ⇔    + − = − = =    l(05&7 ;> ; > 1A B − b(0Ec'VA$:;c +b_("d"&V%& Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 ^l(05&7  > 9AB = − − uuur (05&7   7 : AB x y− − = 1 ^c +/+BC,(&B(L++%$<AHe > ;HA = uuur (05&7   7 ;  1BC x y+ + = b7ie07   7  ; − + =AC x y   7 : − − =AB x y    7 ;  1+ + =BC x y Câu 6a:23-4+56    ; 9 n n n A C n − + − = + >Điều kiện7q>∈r1 d-4+56-4+-4+<  s   ; 9 s s n n n n n + − − = + − ⇔     ; 9  n n n n n + − − = + ⇔  tt!⇔!]b'P$!1 i<!&$%*$r(47 ( )  ;               1 1 1 k k k k k k k k x C x x C x x − − − − = =   + = =  ÷   ∑ ∑ l'+0$*& 9 x      ; ;   k N k k k ∈ ≤ ≤  ⇔ =  − =  1ie0E$Y&'+$*& 9 x F7 ; :  C Câu 7a7 ( ) ( )   ; :  F+   F+ ; F+ ;x x x+ + = − + + cN( E7   ; ; ;   ;  x x x x x + ≠  − < <   − > ⇔   ≠ −   + >  ( ) ( ) ( ) ( )            F+   F+ ; F+ ; F+   F+ 9 F+ ;  F+ 9 ;  9 x x x x x x x x x ⇔ + + = − + + ⇔ + + = − ⇔ + = − ⇔ + = − ^i<  ;x− < < &$%3-4+56  ;   x x+ − = > ( )  9x x⇔ = = − lo¹i i< ; x− < < − &$%3-4+56  ;  x x− − = ;> ( )  ;  ;x x⇔ = − = + lo¹i ie03-4+56%$$%&+EF x = P$ ( )   9x = −  Câu 6b72AIF+&T  T  &$uI> 2AJF+&T  <5H$\0&$%J>];2AF+&T  <\0&$%>; 2AJgF +3M+$5++%$J<g(D$\I %&$%g;n>v!;n(05&3 +5_ "'DIJF+E$Y&E7   ) 0  9 B 3x 4y  + =    + =  ie0T  $a`'3ME   I  >    −  ÷      J  >    −  ÷   "&$%O)>0 ∈ ` ⇔ )!;$0!< ∈ w> π x uy7IJ! =  $%!l ∆ OIJ !   =  TOIJ! !   =  $    = + ! $  ; π −  ⇒  $  ; π − ! ⇒ ! π n;>!= π n; ie0$%OUF7    O  >     ÷       O  >    − −  ÷   Câu 7b7dh( ⇔ 0t)^:! ( ) 9  y x⇔ = 3*&&-j$7   :  1 1 x x x x + = : : 18 x x x ⇔ + = : :  8 8 x x     ⇔ + =  ÷  ÷           x x     ⇔ + =  ÷  ÷     cP7!   x    ÷    k &$%37 ( ) ( )       t t t t t+ − = ⇔ − + + =    x t y =  ⇔ = ⇒  =   b(0Ec'VA$:;c +b_("d"&V%& Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 b(0Ec'VA$:;c +b_("d"&V%& . Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 ĐỀ THI THỬ ĐẠI HỌC SỐ 27 Ngày. Thầy giáo:Lê Nguyên Thạch ĐT:01694838727 HƯỚNG DẪN GIẢI ĐỀ 27 M(7!&$%       y x x= − + .Tập xác định: ¡ Sự biến thi n ]2<''L$$7 F x y →−∞ =. VII.a:1 23-4+567 ( ) ( )   :  ; F+   F+ ; F+ ;x x x + + = − + + B/ Phần đề bài theo chương trình nâng cao Câu VI.b: 11, "5+P3/+'D)0$&