ĐỀ THI THỬ ĐẠI HỌC NĂM 2011 MÔN TOÁN KHỐI A, B pot - Pdf 18

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''''''''''''''''#()*+!, /)0123Thi gian lm bi: 180 pht, không k thi gian pht đ)
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:;
&< 
 

x
y
x

=

$<  !"#$% &'()#*+,- &'.#

/
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  2  3/  4  
  
x
x x x
π π
+ + = + +
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7 3  
3 

a b b c c a
ab c bc a ca b
+ + +
+ + ≥
+ + +
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0< .@.AB. .;C
:;=<D
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6RM3'M7;4/
8%OP+@&P!S#G#

!S#G#?@

T C&#=7U
4
/
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!S#G#

  6
  3
x y z
d
+
= =
− −

 7

+
 C
\
 d
B?@J59#?@Q<C]/
:;=<F
8$#)A##C5OPQR'V(D G#6
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!S#G#


6



−x
;

+y
;
3
z
/0O


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(

 -−∞

- +∞
cF)A#=$
c0CB
x
Limy
+

= +∞

x
Limy


= −∞

x
Lim y
→+∞
=


x
Lim y
→−∞
=
f=5dN#6R;(5d##';
c@#
R


  
x
x

⇔ =
+ −

#!T#5
4
4x =

4
x =
c &'g%6
 4x y+ − =

U 4x y+ − =
4/U
4/U
4/U
4/U
/ c@h !"#$%L!"#!"#C

 3  4   2 4
2
c x x c x
π
− + + + =


c x
π
+ = −
!T#5


x k
π
π
= +

U

2
x k
π
π
= − +
4/U
4/U
4/U
4/U
/
c@h5!"#!"#C
  3
3 
  
  
x xy x y
x y x xy

c05$!T#5&-<-4X-X3
c8*=#!T#5R-'<-4X-4
4/U
4/U
4/U
4/U
3 cfD;R
89J;XRJR(hdR;4%;(
7
x
π
=
%


t =
8*=



 



< <t t
I dt dt
t t
= − =
∫ ∫
cfD


4/U
4/U
4/U
4/U
7 c%
c0OF<$&#+@(N#
 SH ABC⊥
clm##=#ID G#>?@(>?CD'<

4
24SEH SFH= =
cn
HK SB⊥
(<d <&d&'$#=#ID G#>?@>@
.#
HKA
/
cod <&d9!T?;?@;(


a
HA =
(
4
3
 24

a
SH HF= =

4/U
U
c@h
 
   
a b c c
ab c ab b a a b
+ − −
= =
+ + − − − −
4/U
c8*=
  
        
c b a
VT
a b c a c b
− − −
= + +
− − − − − −
p((J!"#MM;((&P)#4-;qX(X(X
J!"#
c Jj#]G#NAJ!"#!T
3
  
3/ / /
        
c b a
VT
a b c a c b

 3 -   A t t⇒ − − +

c8=?@-

;7U
4


 - 

c AB u⇔ =
uuuur ur

/


/
AB u
AB u
⇔ =
uuuur ur
ur


U 3
2b U2 7U 4
3 3
t t t t⇔ − − = ⇔ = ∨ = −
c+g%<
 

(
 
4--7M M =
uuuuuuur
ls
   
- / 2 7 4u u M M
 
= − + =
 
uur uur uuuuuuur
 JJZ# G#/
c0O^<D G#NJJZ;q^= 
-- n = −
ur

k&W

= !"#$%
  4x y z+ − + =
cpt]'+W-X-&Pu^(*== 
4/U
4/U
4/U
4/U
r/ cfv&)56Rq4
c8F6RsR;<#5
c8F6Rs
x ≠
(h !"#$%!"#!"#C


 3
/7  x x⇔ + =
c
xd]'

r
x =
<#5c
x&

r
x >
%8cq
4/U
4/U
4/U
4/U
x&

r
x <
%8cy(d'c=#5J&']

r
x =
c<&d6#5 !"#$%L<R;

r
x =


3
x t
y t
z t
= −


= − +


=

c


= !"#$%

U 3
x s
y s
z s
= +


= +


=


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ur
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