ĐÁP ÁN VÀ ĐỀ THI THỬ ĐẠI HỌC - TRƯỜNG THPT NGUYỄN HUỆ - ĐẮK LẮK - ĐỀ SỐ 20 doc

 TRƯỜNG THPT NGUYỄN HUỆ ĐỀ THI THỬ ĐẠI HỌC MÔN TOÁN NĂM 2012 - 2013 Thời gian làm bài: 180 phút. PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH ( 07 điểm ) Câu I   !  ! ! "   y x mx m= − + 1. #$%&'()%*)++,-%. /0" 2.  1 -%. 2342&252&2%6 78)9:64;<)9%=)9>07? Câu II? "?#@;A)9%BC)D ! ! "E F  )  G2 !  2 H 2  "F 2 x x x x x π + + − = +I J  K    x π π ∈ ?4LMN@;A)9%BC):      =−++ =+−+−  OFH  H yxyx yyxx Câu III"?@;A)9%BC) 7 7 7 ! E ! J 4E ! J  + + + − = 4#@;A)9%BC)/40E 'C4@;A)9%BC)2P23Q%)9R Câu IV"?/ ST)9%BUVW?VXWXX23$>VWS%49$2+6Y)92Z)25)6>[)VW0  ? \]%@=)9VVXW+6Y)9932+I]%@=)9VWVVX0 ! ?32 · ^A AB S932)N)+]%@=)9 VXV%5+I]%@=)9VWQ%932F  ?_)%%_2/ ST)9%BUVW?VXWXX Câu V"? x y `S2$2 %&2a;A)9+%#b)[6/R) "x y z+ + = ?cb>%C9$%B.)d )e%2f4 " " " " " " M x y z = + + + ? PHẦN RIÊNG CHO TỪNG CHƯƠNG TRÌNH ( 03 điểm ) (Thí sinh chỉ chọn một trong hai chương trình Chuẩn hoặc Nâng cao để làm bài.) A/ Phần đề bài theo chương trình chuẩn Câu VI.a:? 1,B)9]%@=)9+IR%5QOxyb>+(%@;A)9%BC)2$225)2f4%49$2ABC'(%%B&2%Z "KH 2Z);<)9245%gP)BS K K %B6)925)ABS !K"M ? 2,CR 2f4 5)9284 F x %B)9/4%B) "  n x x   +  ÷   '(%Bh)9  " " H F n n n A C n − + − = + ? Câu VII.a:"? #@;A)9%BC)D ( ) ( )  ! G  H S9 "  S9 H S9 Hx x x + + = − + + B/ Phần đề bài theo chương trình nâng cao Câu VI.b: ?1, B)9]%@=)9%5Q7>24;<)9%=)9a " DH7i!>i"0+a  DH7j !>i"0?C%5Q%Z+'$)/_);<)9%Bk))Q%(@%49$223!25))h%B*)a " a  %BU2>? 2,MS@lD   7 > " "F O + = +;<)9%=)9a ! D  !7jH>0 a)8)9)Bh)9;<)9%=)9a ! 2m%MS@l%54@Z)'R%V+W?C%5Q43 +Ik4)Q2f4V)dA))Q2f42f4W? b)C\7K>%6Q2l42%49$2\VW23aR)%_2'h)9"? Câu VII.b:"?#R@;A)9%BC)D  S9   G F G  ?! ?! x x y x y y x + − + =    + =    Hết iiiiiiiiiiiiiiiiiii  HƯỚNG DẪN Z6"D"0"%423 !  ! "   y x x= − + . Tập xác định: ¡ Sự biến thiên iI5)%5+Y2&2D S x y →−∞ = −∞  S x y →+∞ = +∞ i[6'()%*)D423  ^ ! !y x x= − K  ^  " x y x =  = ⇔  =  W#)9'()%*) 7 −∞ " +∞ >X jij >  "   +∞   −∞ c -)9'()%B*)/#)9 ( ) K−∞ + ( ) "K+∞ c )9.2'()%B*)/#)9 ( ) K"  i&2%B.Dc 5%2&25%570 "   CÐ y y= = c 5%2&2%6%570" ( ) "  CT y y= = !? Đồ thị:-%.2m%%BU2)%5 " K    −  ÷   K ( ) "K +2m%%BU2%6)9%5 " K     ÷   ?-%.)n)6 ) " " K  H U    ÷   S%Z 78)9? Câu 1: 2 1 -%. 2342&252&2%6 78)9:64;<)9%=)9>07? 423>X0  ! !x mx−   ^  x y x m =  = ⇔  =  -%. 232&252&2%6% 1  ^ y = 234)9R@Z)'R% m ⇔ ≠ ?39#o2$22&252&2%6SD ! K  m A    ÷   + ( ) K B m 423D ! K  m AB m   −  ÷   uuur K%B6)92f4VWSD ! K  H m m I    ÷   M>*62p6'%$)V+W 78)9+I)46:64;<)9%=)9>07% 1 ;<)9%=)9VW+6Y)9932+I D y x∆ = +%B6)92f4VW%6Q2;<)9%=)9 ? AB u I ∆  =  ⇔  ∈∆   uuur uur ! !     H  m m m m m m  − =  =   ⇔ ⇔   = ±   =    2(6[6/R)%423 m = ± Câu 2: 1,423D 2   x x k π π ≠ ⇔ ≠ + I/@%" ⇔  ( ) !   G2 F  )  )  2  "F2x x x x x+ + =   ! H2 !  )  G2x x x⇔ + =  2 !  ) H x x ⇔ + − =  ) !  )  x x⇔ − + = ( ) !    H H x k x k k π π π π ⇔ = + = + ∈¢ n>@;A)9%BC)T223)9R J  K    x π π ∈ S ! O K H H x x π π = = Câu 2: 2 ⇔      =−++ =−+−  H!   xyx yx ⇔      =−−++−+− =−+− !!H H!   xyx yx      =−−++−+− =−+− !!H H!   xyx yx Đặt    =− =− vy ux !   * 4>+%423R@%    =++ =+ GH? H  vuvu vu #PR%4;q2    = =   v u c]2    = =   v u 4>+9#%423    = = !  y x ;    = −= !  y x ;    = = J  y x ;    = −= J  y x  Câu 3 : E ! J    x t + = %r%423@%  G t t a− + = " I40E%423  G t t a− + =  % "% E⇔ = = s;A)9%BC)234)9RS E ! J  7 7 S9 E + = =  )9R2f4@%"S )9R%r2f4@;A)9%BC)  Ga t t= − + S 26)92f4;<)9%=)9>0 4+-%.  Gy t t= − + +I%r Sn@'#)9'()%*)2f43  Gy t t= − + +I%r/(%S6n)@%2P23Q%)9R/40"F]2 a ≤  Câu 4DN?\SC)2(62f4VX%B*)VW+V 23D ⊥ ⇒ ⊥( ' ) ( ) ' ( )AA B ABC A K ABC ? 423VX\ ⊥ V+\ ⊥ V · = 0 ' 60A MK   ='A K x ?%423 = − = − 2 2 2 ' ' 3AK A A A K x  \0 · = − 2 2 sin 3 . 2 AK KAM x \]%/$2 = = 0 ' cot 60 3 x MK A K +n>%423@% − = ⇔ = 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 5D " " "  " " " " " "  x y z M x y x xyz + + + = + + + = ?  H  H  H " H " H " H x x x y z x yz y y x y z xy z z z x y z xyz + = + + + ≥ + = + + + ≥ + = + + + ≥ H H H H  " " " FH x y z x y z M xyz xyz + + + = ≥ ?e607#>B4/70>0`0"t! Câu 6aD"j;<)9%=)9AC +6Y)9932+IHK )*))n)  "K HK = − uuur S+%@%+AC:64K)*)   D  H ?AC x y− + = 42u)9av23D   D   BK x y+ − = ? j A AC B BK∈ ∈ )*)9#o  HK   K   ?A a a B b b− − \]%/$2 !K"M S %B6)92f4AB)*)%423RD  H F  " H ?       a b a b a a b a b b − + = + = =    ⇔ ⇔    + − = − = =    6>B4D HK H K ?A B − j6>B4D  K FAB = − − uuur 6>B4D   D! G AB x y− − = ? j;<)9%=)9BC:64B++6Y)9932+IAH)*))n) !K HHA = uuur 6>B4D   D! H  ?BC x y+ + = Dn>D   D  H − + =AC x y   D! G − − =AB x y    D! H  ?+ + =BC x y Câu 6a:#@;A)9%BC)  " " H F n n n A C n − + − = + KĐiều kiệnD)wK)∈x? s;A)9%BC)%;A)9;A)9+I  "y  " H F y "y n n n n n + − − = + − ⇔  "  " H F  n n n n n + − − = + ⇔)  z"")z"0⇔)0i"5]2)0"? I)0"%423).%82x6%A)D ( ) " H ! " " " "   " " " " "   ? ? ? k k k k k k k k x C x x C x x − − − − = =   + = =  ÷   ∑ ∑  5)9)>284 F x /   " H H ! " k N k k k ∈ ≤ ≤  ⇔ =  − =  ?n>R 2f4 5)9284 F x SD H G " C Câu 7aD ( ) ( )  ! H G  S9 "  S9 H S9 Hx x x+ + = − + + [6/R)D "  H H H  " H  x x x x x + ≠  − < <   − > ⇔   ≠ −   + >  ( ) ( ) ( ) ( )            S9 "  S9 H S9 H S9 "  S9 "F S9 H " S9 "F H " "F x x x x x x x x x ⇔ + + = − + + ⇔ + + = − ⇔ + = − ⇔ + = − jI " Hx − < < %423@;A)9%BC)  H "  !x x+ − = K ( )  Fx x⇔ = = − lo¹i I H "x − < < − %423@;A)9%BC)  H  x x− − = HK ( )  H  Hx x⇔ = − = + lo¹i n>@;A)9%BC)32234)9RS x = ]2 ( )  " Fx = −  Câu 6bD"NVS94a " +a  %42{V!K NWS94a " +I%BU2>%423WKiHNS94a  +I>%423KH NWS;<)9@Z)9$2%B)9932W+I%6Q2V/3%423Ht!K|0Ht!6>B4@%;<)9%Bk) 5QVWS)9R2f4RD   7 > " "F O 3x 4y  + =    + =  n>a ! 2m%l%5@Z)'R% !  V  K    −  ÷    !  W  K    −  ÷   423\7K> ∈ l ⇔ 70H2%+>0!)%+I% ∈ }K π ~ {•DVW0 J  23"0 ∆ \VW 0 "  J  a\VW0 0 "  J  "2 % ") % J + 0" 2%  H π −  ⇒  2%  H π − 0" ⇒ %0 π tHK%0J π tH n>23\%#b)SD " !  \  K     ÷   +  !  \  K    − −  ÷   Câu 7bDs%p6 ⇔ >z7jG0 ( ) F  y x⇔ = %(+@%%84%4;q2D  ! G  ?! ?! x x x x + = G "G ?E x x x ⇔ + = G "G  E E x x     ⇔ + =  ÷  ÷     !    ! ! x x     ⇔ + =  ÷  ÷     ]%D%0  ! x    ÷   /%r %423@%D ( ) ( ) !    "  t t t t t+ − = ⇔ − + + =  "  x t y =  ⇔ = ⇒  =   .  TRƯỜNG THPT NGUYỄN HUỆ ĐỀ THI THỬ ĐẠI HỌC MÔN TOÁN NĂM 201 2 - 201 3 Thời gian làm bài: 180 phút. PHẦN CHUNG. x mx m= − + 1. #$%&'()%*)++, - %. /0" 2.  1  - %. 2342&252&2%6