SỞ GD-ĐT HÀ TĨNH TRƯỜNG THPT MINH KHAI  ĐỀ THI THỬ ĐẠI HỌC LẦN 1 - NĂM HỌC 2012 - 2013 MÔN THI: TOÁN Thời gian: 180 phút(không kể thời gian giao đề) I. PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7,0 điểm) Câu 1.(2,0 điểm)    y x x= − + −  ( ) C a b.  !"#$#%&'()*+,-. ( ) C / 0123)4,5 6572#809': ( ) C /6/#;<= Câu 2.(2,0 điểm)>0!?#;9& a.     @ ) ,   A   x x x x x − − + − + + = + b. ( ) B@A    +−=+ xxx Câu 3.(1,0 điểm)7& ∫ + dx x x  A  Câu 4.(1,0 điểm)80C368D369E#1/536(5  ABa SB = >F >G;F#1D365C> ⊥ )36,7 7H80C36H#I 6 0)C3, Câu 5.(1,0 điểm)55%!?#<J--(K#;L#&       A    a b c a b b c c a + + ≥ + + + II. PHẦN RIÊNG (3,0 điểm): Thí sinh chọn một trong hai phần ( A hoặc B) A. Theo chương trình chuẩn Câu 6.a(1,0 điểm)   + ' MG0)N,& A AO @ + =   3)*@4*A,56)*A4A,PFQ  R9Q)N,%27DR63G:= Câu 7a.(1,0 điểm)>0!?#;&G#  )+  SB,-G#  )+-,  *G#  )+S,  (B Câu 8.a(1,0 điểm)K#;L#& ,T),A) UA  BB      ∈∀+=++++ − B. Theo chương trình nâng cao Câu 6.b(1,0 điểm);#V0$#FQW+'59E#36X5 )4*,  39Q!"#$#%&+-'*(Y>FRG;9# 65!"#$#XR0!?# ;&+S'S(Y PFQ 3565X Câu 7.b(1,0 điểm)>0!?#;& YZ,A+)G#,A+),A+)G#,A+O)     A =−+−+++ Câu 8.b(1,0 điểm);#H;  AB B ,@) − 89/#G[9\ Hết Cán bộ coi thi không giải thích gì thêm ]F7&C% SỞ GD-ĐT HÀ TĨNH ĐÁP ÁN THI THỬ ĐẠI HỌC LẦN 1 - NĂM HỌC 2012 - TRƯỜNG THPT MINH KHAI  2013 MÔN TOÁN CÂU Ý NỘI DUNG ĐIỂM Câu 1 a. *P^&X(_ *C&->://E& 4 G G x x y y →−∞ →+∞ = +∞ = −∞ -`9&   + Y 'a + -O+4 'a Y  +  =  = − = ⇔  =  ]#;bH#)*c4Y,)4-c,5# ;)Y4, ]/ 9/+(Y4'  (*4///+(4' ^ (  *6#&  + *cY-c 'd *Y-Y* ' -c  **c  Y5@ Y5@ Y5@  ^&RQ 9Q&)A4Y,5)*A4,5)4*,  Y5@ b. e!?#;Q# %),& *+  -+  *()*+,-)A,    =−−−= = ⇔ ,)Y++,+)f +  Y5@ ^!"#$#%.(C)/ 012 ⇔ 0)A,8#2 012 ⇔ 0),8#2012H      ≠ −> ⇔    ≠− >+ ⇔    ≠ >∆ ⇔ Y B g  Y YgB Y,)f Y Y5@ ]Q 6G#20), 8&+ 6 -+  (A+ 6 +  (** 72#809':(C)/6G& Y5@ 'd)+ 6 ,'d)+  ,()+ 6   *O  + 6 ,)+    *O+  , (g)-A,  *gh*g { } Yi,4 B g ) +∞ − ∈∀ X=9j(j+k';H (*Alm''d)+ 6 ,'d)+  ,<=L#*g/!nH(*A Y5@ CÂU Ý NỘI DUNG ĐIỂM Câu 2 a. ^`9H2&   + −≠  e!?#;J!?#!?#:&  Y++@++ =+−−−       =+ = ⇔=−+−⇔ =+−+−⇔ ++  A + Y,++,)A+) Y+@++++  Y5@ Y5@ π+ π =⇔= π +⇔=+       π+ π = π+ π = ⇔= H O +A,  +)++ H O @ + H O +  A + ^9`9H2(o#20!?#;G π+ π = H O +  Y5@ Y5@ b. e!?#;J!?#!?#:& B++@A++ B +−=++  ,+)+B,+)+  +−=+⇔ ^V   ,+)+,+)+,+)+   =+⇒+=⇒+= e!?#;;p    = −= ⇔=−+⇔−=  B YqB     Y5@ Y5@ + + Y+ Yq++ Y+ B,+)+B B  −=⇔    = < ⇔    =−+ < ⇔−=+⇒−= A+ A+ Y+ Y++ Y+ ,+)+  B  +−=⇔    +−= > ⇔    =−+ > ⇔=+⇒= Y5@ Y5@ Câu 3  ∫ ∫∫ + = + = + = %+ ,+A)+ ++ %+ ,+A)+ + %+ +A + r  ^V(  x(o%(*xx%x  A A A A ) ,  ) A,  A dt I dt t t t t = − = − + + ∫ ∫ A A A )G s As G s s, G s s   t t t c c t + = + − + = + Y5@ Y5@ Y5@   A A  G) ,  x c cox x + = + Y5@ CÂU Ý NỘI DUNG ĐIỂM Câu 4 Câu 5 a. C r6 3>*  >FrG;9# 36(o   r>   r ==>= Dr>69E#/r(o>6  (r>  -r6  (  @  DC>69E#/>(oC>  (C6  *>6   (  (oC>( B       A   A C>  A l  3636C C === ∆ t>uu6)∈3,⇒3⊥)C>,⇒C⊥3 D>9E#1/⇒>(>B@ Y (    DC>9E#/>⇒  O >C>C  =+=  D3r9E#/r⇒   rr33  =+=  C DC3  B  3C  A  ==    ) 4) ,,  S ABC SAC V d B SAC a S ∆ = =   g B  g   ,A) g                  O      −−= ++−≥ −=−≥ ++ −= + !?#&   g B  g     4 g B  g         −−≥ + −−≥ + X8 Y5@ Y5@ Y5@ Y5@ Y5@ Y5@ Y5@  A  ,) g B  Z ,) g B ,) g  ,)              = ++ −≥ ++−++−++≥ ++ + + Y5@ CÂU Ý NỘI DUNG ĐIỂM Câu 6a e!?#;!"#$#36&+*'-(Y 36( @ >vR)+  4'  ,∈)N,⇒@+   -AO'    (qY @ s'+s YY +− = AB)d(M; s'+s,364R)%36  A YYR −−== ∆ S AB 8& gs'+sg'+ O'+OOs'+s O,'AO+@,) B A @ A ),'B  A +@ @ A ) YYYY YYYY  Y  Y  YY ≤+−⇒≤+−≤−⇔ ≤−≤−⇔≤−⇒ =++≤−        −= = ⇔    =− −= ⇔        =+− − = ⇔= ∆  @ '  q + O'+ 'q+@ g'+  A 'B @ A +@ g Y Y YY YY YY R S AB lm' RwG&       −  @ 4  q R Y5@ Y5@ Y5@ Y5@ Câu 7a ^`9H2+oV+x* e!?#;J!?#!?#:& G#  )+  SB,  -G#  )+-,  *G#  )+S,  (B  ⇔ BG#  )+-,  (B ⇔G#  )+-,  (A⇔)+-,  ( ⇔+  -B+-A(Y     −−= +−= ⇔ + + ^9:`9H2⇒#20!?#;G+(**  Y5@ Y5@ Y5@ Y5@ Câu 8a 8& )A-+,  (   AA A   A  Y  ++++ +++++ −− − )A*+,  (   AA A   A  Y  ++++ +−−+− −− −  [ ]     Y   ++,+A),+A) +++=−++⇒ Y5@ Y5@ +(!n&     Y  ,)B,) −+=+++  ⇒ ,A)  B  A      Y  += + =+++ − Y5@ Y5@ CÂU Ý NỘI DUNG ĐIỂM Câu 6b 3∈%⇒3)4*, 8&%)4XR,(  A %)34XR,⇒sB*Bs(q⇔s*As(    −= = ⇔ A  (⇒3)5*Z,)G/350H07XR, (*A⇒3)*A5@,)<J, >vX)4*, ,4@)X@ ,A),),Z),A) Y,A,)Z),,)A) X3X X3X  ⇒=⇔    ++−=−++ =+−+−+ ⇒      = ⊥ >FrG19E#⇒rG;9# 3⇒r)A4A, XrG;9# 6X⇒6)*4*A, Y5@ Y5@ Y5@ Y5@ Câu 7b ^`9H2+o*A e!?#;J!?#!?#:&     =++ −=+ ⇔=−+−+++ Z,A+)G#,A+O) A,A+)G# YZ,A+)G#,O+O),A+)G#,A+O)        A +  A A+A,A+)G#  −=⇔=+⇔−=+ )<J`9H2,  Y A+O Z ,A+)G#Z,A+)G#,A+O)  = + −+⇔=++  Py A+O Z ,A+)G#,+)f  + −+= ;)*A4-c,  a  A B A ) , Y ) A4 , i ) A,G  )O A, O f x x x x   = + > ∀ ∈ − +∞ −   + +   ]#;bH# , O A 4A) −−  ,4 O A ) +∞− ⇒;bH# , O A 4A) −−  ,4 O A ) +∞− 90!?#;f)+,(Y8 #28G#2%9'= z/8f)A,(Y4f)*uB,(Y⇒+(Y+(*uBG#20!?#; f)+,(Y lm'0!?#;J8#2 A  x = − 4+(Y4+(*uB Y5@ Y5@ Y5@ Y5@ Câu 8b 8& AB A A AB O AB B  B  B AB Y )  @,  @ ) A,   @ k k k k k C − =   − = − = −  ÷   ∑ C/#K)H-A,G[9\ O  B Y AB k N k N k N k  − ∈    ∈ ⇔   ∈   ≤ ≤   B Y A k i i N i =   ⇔ ∈   ≤ ≤  ⇒∈{Y4A4|4A}lm'8/#[9\ Y5@ Y5@ Y5@ Y5@ . SỞ GD-ĐT HÀ TĨNH TRƯỜNG THPT MINH KHAI  ĐỀ THI THỬ ĐẠI HỌC LẦN 1 - NĂM HỌC 2012 - 2013 MÔN THI: TOÁN Thời gian: 180 phút(không kể thời gian giao đề) I. PHẦN CHUNG CHO TẤT CẢ CÁC. coi thi không giải thích gì thêm ]F7&C% SỞ GD-ĐT HÀ TĨNH ĐÁP ÁN THI THỬ. thêm ]F7&C% SỞ GD-ĐT HÀ TĨNH ĐÁP ÁN THI THỬ ĐẠI HỌC LẦN 1 - NĂM HỌC 2012 - TRƯỜNG THPT MINH KHAI  2013 MÔN TOÁN CÂU Ý NỘI DUNG ĐIỂM Câu 1 a. *P^&X(_ *C&->://E& 4 G