Tham khảo Toán BGD&HD số 19

ÔN TỐT NGHIỆP MÔN TOÁN http://ductam_tp.violet.vn/ BỘ GIÁO DỤC VÀ ĐÀO TẠO ĐỀ THI TỐT NGHIỆP THPT NĂM 2010 ( ĐỀ THAM KHẢO) MÔN:TOÁN – Trung học phổ thông Thời gian:150 phút, không kể thời gian giao đề Ba ̀ i 1( 3,0 điê ̉ m):             = = − + − + + −y f x m x m x mx m      1.                   2.         !  !" #     $      % Ba ̀ i 2( 3,0 điê ̉ m): 1.&'  (  )  *  +  !  (  )    +  $       ( ) ,   = = − +y f x x x )   - . /−  2.0  1*()'  2 ( ) ( )        3log logx x + + + − = 3.&'  24  3   x e x xdx π + ∫ Ba ̀ i 3( 1,0 điê ̉ m):  1    = −z i &'    z z−  Ba ̀ i 4( 1,0 điê ̉ m):'    1  (  5678    9678  '  !$(     56!$( (  !*    9   5  !*    9  (  3 3 &'    '  $  %    15678 Ba ̀ i 5(2,0 điê ̉ m): &)(%((Oxyz*  (:  (;  1*()'         x y z+ − − = = − − !  :   1:  ( ( ) α   1*()'     , 3x y z− + + =  1.&'      (  <$  *  (:  (;!  :  1:  ( ( ) α  2. =  1*()'  *  (:  (;>:  )(:  1:  ( ( ) α :  !  !$((  !*  *  (:  (; ----------- H ê ́ t ----------- ĐÁP ÁN VÀ BIỂU ĐIỂM \Ba ̀ i 1( 3,0 điê ̉ m): 1. ( 1,0 điê ̉ m):&  9>?  @,?@ 9AB?@,? C          % ⇔     < = 3D 3E y y ⇔  , F  =⇔      < = m m m  2. ( 2,0 điê ̉ m):2 xxy   +−=  &+  1    28G &    E  = − +y x 9>3    −=⇒−= =⇒= ⇔   yx yx  0*    2 +∞= −∞→ x y  −∞= +∞→ x y  7  (   2  http://ductam_tp.violet.vn/  H ∞ H@ ∞ 9> H3@3H 9 @ ∞  CT  −  CÑ   H ∞ ÔN TỐT NGHIỆP MÔN TOÁN http://ductam_tp.violet.vn/   I    +    $   ( ) 3.3O   +    ( Ba ̀ i 2( 3,0 điê ̉ m): 1.( 1,0 điê ̉ m): ( ) ,   = = − +y f x x x )   - . /−  &)   - . /−   2 J>,  H,.J>3 ⇔ 3   x x x =   =   = −   J3J?  KJ  KJJ? =+  9 - . /        Kf x f f − = − = =  - . /       f x f f − = − = =  2. (1,0 điê ̉ m): I  $%  2 x > −  I:   ( )  logt x= + 1*()'   # )*    2     3  t t t t =  + − = ⇔  = −  ( )     = ⇒ + = ⇒ =logt x x  x > −  ( )  B    F = − ⇒ + = − ⇒ = −logt x x  x > −  3.( 1,0 điê ̉ m): &  24  3   x e x xdx π + ∫   3  x e xdx π ∫ @ 3 x xdx π ∫  @&'  4    3  x e xdx π ∫   3    x e d x π − ∫   3 π − x e   −e e  @&'  4   3 x xdx π ∫ I:     u x du dx dv xdx v x = =   ⇒   = = −     ⇒ 4   3 3 H   π π + ∫ x x xdx  π  =+  944  @4    e e π + −  Ba ̀ i 4( 1,0 điê ̉ m): http://ductam_tp.violet.vn/  H  H3  9 3H33 6  5 7 8 3 3  ÔN TỐT NGHIỆP MÔN TOÁN http://ductam_tp.violet.vn/ &   ( ) ( ) · ( ) · 3 3,SA ABCD SC ABCD SCA⊥ ⇒ = = HL$M%NO15678P2 3  B 3    tan a SA AC a= = = H8QRS!$(678TP2  ABCD S a= H&URM%NO156782     B B    V ABCD a a V S SA a= = = Ba ̀ i 5( 2,0 điê ̉ m):  1.(1,0 điê ̉ m):W*()'    $  ;  2      x t y t z t = − +   = −   = −  &    (!*  (  <  (  $  1*()'  2 ( ) ( )        , 3  3 t t t t t− + − − + − + = ⇔ − + = ⇔ = =+  9 ( ) K..3 −− M 2. (1,0 điê ̉ m)2&  2 ( ) EK..3 dM ∈−− !   ( ) ( ) 3 K 3 K   3 ' ; ; ; ; d d u u u α = ∧ = − − = − uur uur uur   !"*'  1*( $  ;>!*   ( ) ( )       ; ; ; ; d u u α  = − −   = −   uur uur http://ductam_tp.violet.vn/ . ÔN TỐT NGHIỆP MÔN TOÁN http://ductam_tp.violet.vn/ BỘ GIÁO DỤC VÀ ĐÀO TẠO ĐỀ THI TỐT NGHIỆP THPT NĂM 2010 ( ĐỀ THAM KHẢO) MÔN:TOÁN – Trung học phổ thông. H ∞ ÔN TỐT NGHIỆP MÔN TOÁN http://ductam_tp.violet.vn/   I