ĐỀ THI TUYỂN SINH ĐẠI HỌC- MÔN TOÁN

21 đề thi thử ĐH môn toán có đáp án

WWW.ToanPhoThong.TK ĐỀ THI TUYỂN SINH ĐẠI HỌC (Đề 10) MÔN TOÁN  ! PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7 điểm) Câu I"!#$%"&' (   ! ) *) y f x= = − + +,$& &-./01%1234#!5%"&'+ +6-1%$34#!78.9:;<=$"&'9"5>?@A (   $& * $& c x c x m− + = 1B CD Ex π ∈ + Câu II"! +F,>?@A ( )  :$     x x x x   − − = −  ÷   +F,9>?@A       x y x y y x y  + + − =   − =   Câu III"!GH9G5"IB.J >  K ( Ky x x= − 1% y x= + Câu IV"!#$ALM" ;$/"AN;. G@$ @>B+GGALM./@O 8:BP 8Q+ Câu V"!4">?@A&;L9"  (&)&)R($& ) $& )R $& )R  ( ( ( c c m π π π       − + =  ÷  ÷  ÷       PHẦN RIÊNG (3 điểm):Thí sinh chỉ làm một trong hai phần (Phần 1 hoặc phần 2) 1. Theo chương trình chuẩn. Câu VI.a"! +#$ ∆ S#LTSD!U>@;;8/V   x y+ + = 1%W @$ #6  x y+ − = + X/>?@A>I#+ +@$1B9Y)8ZU$>I6!L>?@A"&'     x t y t z t = − +   = −   = +  +F ∆ :%>I[;"S(DD!&$&$1B6!1%\DD!:%A/; 1;L5S @06!+@$ "]I[; ∆ U781/ >?@A5"] IL$, /6!:% :BP+ Câu VII.a   "!  #$  )U  8U  Z  :%    &'  -  ;  DE+  #^  "  @O    _   xy yz zx x y z + + ≤ + + + + + 2. Theo chương trình nâng cao. Câu VI.b"! WWW.ToanPhoThong.TK  WWW.ToanPhoThong.TK +#$A.A%S#6LH9G.O(+/SD!UD!1%$"\5 >`$O"@0>I8a)+A"T#1%6+ +@$1B9Y)8ZU$"SD_D!UDDb!1%>I ∆  L>?@A"&'     x t y t z t = − +   = −   =  +V"V8c@0>I ∆ U) 414@G 5"V;1" VS @4QP+ Câu VII.b"!#$U.U:%." +#^"          b c a a b a c a b c a c a b   + + + + <  ÷ + + + + + +   ĐÁP ÁN ĐỀ THI SỐ 10 Câu Ý Nội dung Điểm I 2,00 1 1,00 R<) 4 D = ¡ U_ Rd-./0 • FB :" D :" x x y y →−∞ →+∞ = +∞ = +∞ •  ( )   e ) )a) b) *y = − −  e   ( x y x =   = ⇔  = ±  U_ • ,./0+ ( )  (*  (* D D   (  (  CT CT y y y y y y     = − = − = = − = =  ÷  ÷     C§ U_ • 34 U_ WWW.ToanPhoThong.TK  WWW.ToanPhoThong.TK 2 1,00 f`>?@A (   $& * $& c x c x m− + = 1B CD Ex π ∈ ! ] $&)t c= U>?@A!@J% (   *  !t t m− + = XA CD Ex π ∈ 0 C DEt ∈ − Ug)1%L&->?^"'"UH$L&' 9"5>?@A!1%!.O;+ U_ L (  !  *   !t t m⇔ − + = − F#  ! (   * y t t= − + 1B C DEt ∈ − 1%6!8ah"+ i>?@A!:%>?@A$%$"5#  !1%6!+ #j@O#  !'>34#!@$"  t− ≤ ≤ + U_ 6-1%$34L/:;<&; •   m >  i>?@A7$19"+ +   m =  i>?@A7$L9"+ •    m≤ < i>?@A7$L(9"+ •  m < <  i>?@A7$L9"+ • m =  i>?@A7$L9"+ • "k i>?@A7$19"+ U_ II 2,00 1 1,00 i>?@A7$>?>?   :$ :$          :$ :  :          x x x x x x x x x x x x  − =  = − =                 ⇔ ⇔ − = − =   − =  ÷   ÷   ÷                  > >  − >        U_     :$        :         x x x x x x x x x x x x x =  = =       =   =  =               ⇔ ⇔ ⇔ ⇔ =         − =  − = =       ÷                   > > >       U_ 2 1,00 WWW.ToanPhoThong.TK  WWW.ToanPhoThong.TK ;9 K K K Kx y≥ ]   D u x y u v x y  = − ≥   = +   D x y= − Q90)` x y≠ − L    u y v v   = −  ÷   + l9>?@A7$LH     u v u u v v + =      − =  ÷     U_  (  u v =  ⇔  =  $]  * u v =   =  R   ( (   u x y v x y  =  − =  ⇔   = + =    \! R     * * u x y v x y  =  − =  ⇔   = + =    \\! U_ F,9\!U\\!+ U_ d;Lm /[;,:U>m<9"59>?@A. N;:% ( ) ( ) { } _D U _D(S = U_ III 1,00 69G"IB.J  K ( K  !y x x C= − 1% ( )  d y x= i>?@A$%$"5#!1%H!         K ( K   (  b  b (    x x x x x x x x x x x x x x x x x x ≥ ≥   =       − = ⇔ ⇔ ⇔ = − = − =         = − = − − =      d;8@H9GNG ( ) ( )  b     (  ( S x x x dx x x x dx= − − + − − ∫ ∫ U_ G ( )    K ( K I x x x dx= − − ∫ XA [ ]  D U ( x x x∀ ∈ − ≤ 0   K ( K (x x x x− = − + ⇒  ( )    ( (   I x x x dx= − + − = ∫ U_ G ( ) b   K ( K K x x x dx= − − ∫ XA [ ]  D( U ( x x x∀ ∈ − ≤ 1% [ ]  (Db U ( x x x∀ ∈ − ≥ 0 ( ) ( ) ( b    ( (  (  bK x x x dx x x x dx= − − + − − = − ∫ ∫ + U_ WWW.ToanPhoThong.TK ( WWW.ToanPhoThong.TK X<8 ( _ b   S = + = 1,00 IV U_ FlUln:%W"5 " ;S#USnn#n+F\U\n:%@; "5SUSnn+L ( ) ( ) ( ) e e e e e e AB IC AB CHH ABB A CII C AB HH ⊥  ⇒ ⊥ ⇒ ⊥  ⊥  d;8@AN;/ALM%8/)1B 8lUln 1%/)1B"].0SnSn!" eK II∈ + U_ F):% 8QU=$,/):% 8:B+L     e e e e e D  b   x x I K I H I C IK IH IC= = = = = = " \Y\n1;JY0       e + + b@ b  x x I K IK OK r x= ⇒ = ⇒ = U_ GALMG.J ( ) e + e  h V B B B B= + + @$L      ()   @   b@ D e D @ ( (  x B x B h= = = = = = U_ oLUL      @ @  @  @ +  b@  b@ +     V    ÷ = + + =  ÷   U_ V 1,00 L Rp ( ) (&)&)a $&)$&() D Rp ( ) ( $& ) $& )R  $& ) $&()  & )R$&() ( (  c c c c π π π         = + =  ÷  ÷  ÷           Rp ( )    $& )R  $& ()R  & () (    c c π π       = + = −  ÷  ÷  ÷       6$L>?@A7$>?>? ( )    $&)R&) & ()R"  !   c + = ] $&)R&)a  $& ) ( t c c π   =  ÷   ;9  t− ≤ ≤ !+ U_ WWW.ToanPhoThong.TK _ WWW.ToanPhoThong.TK L  & ()a&)$&)a − +i>?@A!@J%  (   t t m+ + − = !1B  t− ≤ ≤  ! (  t t m⇔ + = − W8:%;?@A$%$"5>  !   D y m= − :%>&$&$1BY)1%q@M;" L;h"!1%i!  (y t t= + 1B  t− ≤ ≤ + U_ @$$ D    −   U%"&'  (y t t= +  @4QP:%  ( −  t = − 1% @4:BP:%  ( +  t = + U_ 6$L80;N;5.%$ Q"71%T  (     ( m− ≤ − ≤ +    m⇔ − ≤ ≤ + U_ VI a 2,00 1 1,00 " ( )    DC CD x y C t t∈ + − = ⇒ − + d;8@@;"V5S#:%   D   t t M + −    ÷   + U_ " ( )          r rD   t t M BM x y t C + −   ∈ + + = ⇒ + + = ⇔ = − ⇒ −  ÷   U_ U_ oSD!Us   AK CD x y⊥ + − = \" K BC ∈ !+ d;8@ ( ) ( )      AK x y x y− − − = ⇔ − + = + "\Q9 ( )   D   x y I x y + − =  ⇒  − + =  + " S#W#0\:%@;"5S ⇒ 5 ( ) DK − + >I#[;#U0L>?@A  (  (  r   x y x y + = ⇔ + + = − +  2 Fi!:%"]I[; >I ∆ UA  ! pp !P D $]  !  !P D⊃ +Fl:%A/; 1;L5\@0i!+:; L IH IA≤ 1% IH AH⊥ + WWW.ToanPhoThong.TK b WWW.ToanPhoThong.TK V]  ( ) ( ) ( ) ( ) ( ) ( ) U Ud D P d I P IH H P  = =   ∈   @$"]I ( ) P U IH IA≤ DH$L )\la\S l Sm ⇔ ≡ +t%8i! J14@Gi  !1;L1B\SS+ X=? ;8/5i  !:% ( ) bDD n IA= = − r uur Uu>?1B ( ) DD v = − r + i>?@A5"]Ii  !:% ( ) ( )  ( +  )Z*ax z− − + = + VIIa j@O ( ) ( ) ( ) ( )    xy x y x y+ − + = − − ≥ D 1%>?-vL   yz y z zx z x + ≥ +   + ≥ +  U_ XA1<8L ( )               Z)R8  _   _ _ x y z x y z xy yz zx yz zx xy x y z yz xy z z y x yz zx y xy z z y x z y y z   + + + + ≤ + + + + +  ÷ + + + + + +   ≤ + + + + +   = − − +  ÷ + + +     ≤ − − +  ÷ + +   = 11 1,00 L ( ) D _AB AB= − ⇒ = uuur +i>?@A5S:%   x y+ − = + ( ) ( )  DI d y x I t t∈ = ⇒ +\:%@;"5S#1%60L ( ) ( )  D U  D C t t D t t− − + U_ V]  6 + ( ABC S AB CH= = #l;$! ( _ CH⇒ = + U _ w$%@ ( ) ( ) ( ) ( _    D U D K b ( K (      D _ _  D U D  t C D t d C AB CH t C D      = ⇒ −  ÷  ÷  = ⇔ = ⇔       = ⇒ − −  U_  WWW.ToanPhoThong.TK r WWW.ToanPhoThong.TK X<85#1%6:% _    D U D     C D      ÷  ÷     $] ( ) ( ) D U D C D− − 2 1,0 0 Fi:%;15" VSAiaSRSVRV+ XASc0iQP1%TSVRVQ P+ >I ∆ L>?@A"&'     x t y t z t = − +   = −   =  + " M ∈∆ 0 ( )   D DM t t t− + − + ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )                   (  *    _ (   b  * b _b  b  _   _  b  _ AM t t t t t BM t t t t t t AM BM t t = − + + − − + = + = + = − + + − − + − + = − + = − + + = + + − + U _ @$"]IY)8U)`1=? ( )  D _u t= r 1% ( )  bD _v t= − + r + L ( ) ( ) ( ) ( )     K K   _ K K  b  _ u t v t  = +     = − +   r r d;8@ K K K KAM BM u v+ = + r r 1% ( ) bD( _ K K  *u v u v+ = ⇒ + = r r r r V] U1B1=? Uu v r r :;L K K K K K Ku v u v+ ≥ + r r r r w>1<8  *AM BM+ ≥ U _ I^),8@1%T Uu v r r u>B   _   b  _ t t t ⇔ = ⇔ = − + ( ) DDM⇒ 1% ( ) "  *AM BM+ = + U _ X<8VDD!A"ia ( )   *+ U _ VIIb 1,00 WWW.ToanPhoThong.TK  WWW.ToanPhoThong.TK XAU.U:%." 0 a b c b c a c a b + >   + >   + >  + ] ( ) U U U U  U U   a b c a x y a z x y z x y z y z x z x y + + = = = > ⇒ + > + > + > + X/@ 1/:     a b a c a x y z VT a c a b a b c y z z x x y + + = + + = + + + + + + + + + U_  L ( ) ( )   z z x y z z x y z z x y x y z x y + > ⇔ + + < + ⇔ > + + + + >?-   D + x x y y y z x y z z x x y z < < + + + + + + 6$L ( )   x y z x y z y z z x x y x y z + + + + < = + + + + + + ^:%          b c a a b a c a b c a c a b   + + + + <  ÷ + + + + + +   U_  ĐỀ THI TUYỂN SINH ĐẠI HỌC 11 MÔN TOÁN  ! PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7 điểm) Câu I"!#$%"&' (   ! y f x x x= = − +,$& 1%1234#!5%"&'+ +@0#!:P8"W.9S1%L$%:N:>m:%1%.+A";9 '1B1%. /;8/5#!S1%&$&$1B;+ Câu II"! +F,>?@A:>m  ( )  $& &   $  $  x x x x x − = + − +F,.P>?@A ( )        :$ _ b :$  :$   x x x x− + + − > + Câu III"!GGW ( )  ( (  $&  & $&I x x x dx π = + ∫ WWW.ToanPhoThong.TK * WWW.ToanPhoThong.TK Câu IV"!#$"A@M@x)$81%A1;S#6LT:0 /SUO"@0>@x 8^P5A@MUTx:O"@0>@x  8^5A@M+V]IS#6!$1B 8A@ML(_  +GH9G );[;1%G5A@M+ Câu V"!#$>?@A ( ) ( )  (     x x m x x x x m+ − + − − − = A"">?@AL"9"H;8P+ PHẦN RIÊNG (3 điểm):Thí sinh chỉ làm một trong hai phần (Phần 1 hoặc phần 2) 1. Theo chương trình chuẩn. Câu VI.a"! +@$"]I1B9Y)8U$>@x#!1%>I ∆ 4.J    ! (  D    C x y x y x y+ − − = ∆ + − = +A""V@0 ∆ &$$oV12>m1B #!/ ;8/:<1B;"Lb  + +@$1B9Y)8ZU$^H9S#61BSDD!UDD!U #DD!U6DD!+A" W"1%. G5"]N;$/^H9S#6+ Câu VII.a"!#L10.QL. G ;U_10.)L. G  ;1%10.1%L. G ;+lQL.$0; @*10.L5 ."%;y 2. Theo chương trình nâng cao. Câu VI.b"! +@$"]IY)8U$Ag<S#6LH9G.OUW"\ ;>I ( )   d x y− − = 1%L$% *  I x = U@;"5":% $"5H!1%@MY)+A" T5Ag<+ +@$1B9Y)8ZU$"]N;d!1%"]Ii!L>? @A:%     !  (  b _ U  !    b S x y z x y z P x y z+ + − + − + = + − + = + "VH@0d!1%"wH@0i!+GH%qP5$ IVw+f 414 @G5VUw>?^+ Câu VII.b"!#$ U Ua b c :%g&'H>?Q"7    a b c+ + = +#^".P I^       ( ( ( r r ra b b c c a a b c + + ≥ + + + + + + + + ĐÁP ÁN ĐỀ THI SỐ 11 Câ u Ý Nội dung Điểm I 2,00 1 1,00 RVf D = ¡ U_ WWW.ToanPhoThong.TK  . WWW.ToanPhoThong.TK ĐỀ THI TUYỂN SINH ĐẠI HỌC (Đề 10) MÔN TOÁN . a b a c a b c a c a b   + + + + <  ÷ + + + + + +   U_  ĐỀ THI TUYỂN SINH ĐẠI HỌC 11 MÔN TOÁN 