Đề thi thử Đại học cao đẳng năm 2013 môn Toán đề 3

    ! "   "  !"#$% &'!()*+,-$%.!/  ! + 0 ! "# - 01  !"#2  !#34452*6  !$# #78/9:7%9: ;!$<!=9>9:6& ?;!5=@8/A?B!89:89C!=>? B!%!7DE E /34<!7!F?B!89:8:/  !$#&&;G !HIJJ6+/K!".!2  %&    !"# '" ()*+(, /012.((!3.  !$"4 3"!?B!LMNO%) 9+,+P!B!2-OJQ%JR6E/ 3#LM):$MP!B! P!B!9:S>$!7RT E /  !$"45#3"!'<!!>1LMNO%U&)V+,W+,+ P!B! K!2)V&G&GXC! ."M?B!/  !"#?B!7/  !$"4 0 !"#2 ()*+(, /012.(  ./+4*  !$"6 3"!?B!LMNO% P!"Y&P!B!/3# )Z=9:G14!9:N;>[/  !$"6 3"!'<!!>1LMNO%U&?B!2 \2-O]%JUJ+6E&^2O]%J-UJQ6E&_2OJ-%]QUJ+6E - + + x y x − = − - - +` -  +D - Q/  -E   - - +- x x x x π π + + = + + R Q - - Q - + + x x y x y x y x xy  − + =   − + = −   R E  /;   x x dx x π ∫ Q a b b c c a ab c bc a ca b + + + + + ≥ + + + ∆ ∆∆ +   2 + - Q x y z d + = = − − + R  a 2 + - T x y z d − − = = - - - -R + -R + -R + ;! ;! + + + + = x x x x x log x x x - -   2 +C x y+ =   2 Ed x y m+ + = m  C  d P!B!266/0L;! $%\^/  !"#P!B!G $<!!7>_ZP! B!&/  !$"6 0[ !"#2 ;! O ;! Q b O ]`-+ WWWWWWWWWWAWWWWWWWW ÁP ÁN VÀ THANG I MĐ Đ Ể  !7 89:!./ 9;< + ∆ - - − −x + ++y Q z - ∆ + ∆ - ∆ ≤ +/+ c3dO2 c34 A!" '! cA'<!7" c0>=   e71dK!2O6+& 1d!!%6- c:! c E/-T E/-T E/-T E/-T +/- c3$%= )7 !"#  A%c c!( )*+,-$%c.!  !S!1 c$%f#2 E/-T E/-T E/-T E/-T -/+ c:g !"#I ! !>    0 S;= c0S!1 E/-T E/-T E/-T E/-T -/- c:g1 ! ! > ce?hi&S1 c01"S!1 $,;+,EW-,WQ c3(7!S!1O,%;+,EW+,E E/-T E/-T E/-T { } j +D = ¡ - + a E  + y x D x − = < ∀ ∈ −  ,+−∞+, +∞ +x Limy + → = +∞ +x Limy − → = −∞ - x Lim y →+∞ = - x Lim y →−∞ = E E  ,    M x f x C∈ E E E a    y f x x x f x= − + - - E E E  + - - + Ex x y x x+ − − + − = - E R E - - - +  + x x − ⇔ = + − E Ex = E -x = + Ex y+ − = T Ex y+ − = - Q - +E   D E D c x x c x π − + + + = -  T   Q E Q D c x c x π π ⇔ + + + + = - -    T   - E D D c x c x π π ⇔ + + + + = +   D - c x π + = −   - D c x π + = − +   D - c x π + = − - - x k π π = + T - D x k π π = − + - - Q Q -   +   + x xy x y x y x xy  − = −   − − = −   - Q x xy u x y v  − =   =   - + + u v v u  = −  − = −  E/-T Q ce?6O 34G6WOGO&gdO6E #6+&# 3(7 ce? 8$%" ck$ E/-T E/-T E/-T E/-T R c# c0LA;"$!):& K! clm!!7!F?B!89:&89>?%;  cn&;d;$d$%"!7 !F?B!89:8: .!/ cod;$d4S 969:6&& c3!8A $<!=A7 c3!9A $<!=A7  E/-T E/-T E/-T E/-T T c:g c3(7 p&&G !JJ6+&&$M'!E,+6q+W&+W&+W G ! cGi![B!K<G !S E/-T E/-T E/-T E/-T R x π = + - t = + + - - - + + - ; ;t t I dt dt t t = − = ∫ ∫ - + ; ,u t dv dt t = = + + ,du dt v t t ⇒ = = − + - + - + + + + - + ; ; - + + - - - I t dt t t t = − + = − − ∫ - - + ; - - I = − −  SH ABC⊥ E DESEH SFH= = HK SB⊥ HKA - - a HA = E Q  DE - a SH HF= = - - - + + + Q +E KH a HK HS HB = + ⇒ = - -E -  Q Q +E a AH AK H KH a = = = Q  -Q AK H⇒ = + + + + +  a b c c ab c ab b a a b + − − = = + + − − − − + + + + +  + +  + +  c b a VT a b c a c b − − − = + + − − − − − − Q + + + Q/ / / + +  + +  + +  c b a VT a b c a c b − − − ≥ − − − − − − 6Q eB!KO%"'@ ' D/ c7 !"# 7 c9$M c379:,6RT E   c)f #; E/-T E/-T E/-T E/-T `/ cGk$7 GXk$7 c37& lr  GGX !B!/ c0L\;?B!K GGX6q\7 k$V + 7 !"# cps[%)V+,W+,+$Mt\&(77 E/-T E/-T E/-T E/-T u/ cev$'12OqE c3A+2OrO6+;!1 c3A-2Or&g !"#  ! !>  e?&S !"# !S6+6W -wQ c>6+ !"#% <!1 c>6W-wQ c xd[%;!1 c x$#3cq+ x$#3cy+&d%c7 !1G$%[ c;$d2!1  !"#I;O6+ E/-T E/-T E/-T E/-T + Q a b c= = = ∆ + Q - - x t y t = −   = − +   Q,-u = − ur ∆ + Q , - - A t t⇒ − − + ∆ +  ,  - c AB u⇔ = uuuur ur / + - / AB u AB u ⇔ = uuuur ur ur - +T Q +Db +TD RT E +Q +Q t t t t⇔ − − = ⇔ = ∨ = − + - Q- R Q-  , &  ,  +Q +Q +Q +Q A A− − + E, +,EM − + +, -, Qu = − − uur - E,+,RM - +,-,Tu = uur - - - -R + -R + -R + ;! ;! + + + + = x x x x x log x x x + - E,-,RM M = uuuuuuur + - + - , / +D +R Eu u M M   = − + =   uur uur uuuuuuur +,-, +n = − ur - - Ex y z+ − + = +x ≠ + - + + -;! -R + - ;! -R + ;! -R + x x x x x x + = + + + + + ;!  + x x t+ = + - + + - -t t t + = + + ;!  + + x x⇒ + = - ;!  + Q x x⇒ + = − - Q /-R + +x x⇔ + = + u x = + u x > + u x < + u x = + u x = D/ c75NE,E&'4_6+ cGZ=)5 1 c37 3(7G1 4! 9N:;>['@'   E/-T E/-T E/-T E/-T `/ c7 !"# c7 !"# c0z c&t_7 cC! !   cGk$7 6qG7 !"# E/-T E/-T E/-T E/-T u/ cev$'12!S #q+I !  !>    c;$dd!12 E/-T E/-T E/-T E/-T  ,  +d O d⇔ < + + + / / / - - - OAB S OAOB AOB AOB= = ≤ E bEAOB = +  ,  - d I d⇔ = +m⇔ = ± + ∆ - - + Q x t y t z t = −   = − +   =  - ∆ - T Q x s y s z s = +   = +   =  + - ,d A d B∩ ∆ = ∩ ∆ = - - , + ,Q :-J,TJQ,A t t t⇒ − − +  - ,Q D, Q AB s t s t s t= + − + − uuuur +,-, Qn = − ur   {d R AB n⊥ ⇔ uuuur ur - Q D Q + - Q s t s t s t+ − + − ⇔ = = − -Q -R t⇒ = + + -Q  , ,  +- +- u A +,-, Qn = − ur -Q + + u +- +- + - Q z x y − − − = = − Q E ;! b `- E b `- E x x x >   − >   − >  b ;! `Qx > b ;! `Qx > Q ;! b `- x x− ≤ b `- Q x x ⇔ − ≤ Q u Q b x x  ≥ −  ⇔  ≤   -x⇔ ≤ b ;! `-,-|T = . !"# '" ()*+(, /012.(( !3.  !$"4  3& quot;!?B!LMNO%) 9+,+P!B!2-OJQ%JR6E/  3# LM):$MP!B!. !$"6 3& quot;!?B!LMNO% P!"Y&P!B!/ 3#  )Z=9:G14!9:N;>[/  !$"6 3& quot;!'<!!>1LMNO%U&?B!2 2-O]%JUJ+6E&^2O]%J-UJQ6E&_2OJ-%]QUJ+6E -. c# c0LA;"$!):& K! clm!!7!F?B!89:&89>?%;  cn&;d;$d$%"!7 !F?B!89:8: .!/ cod;$d4S 969:6&& c3!8A $<!=A7 c3!9A $<!=A7  E/-T E/-T E/-T E/-T T c:g c3(7 p&&G !JJ6+&&$M'!E,+6q+W&+W&+W G