De thi tham khao HK I (CB va NC)



 !
"#$

%!&'()
*

+

*
,-./0123
45-

−∞
 
∩

∪
!"#
$%&'(&)*+)'(,
∃
-
∈
¡


- -  + − <

.
45-/

"01

2 - 3- = + +
+456*7"&8379
 !"33:69+4;<=
>
?!
@
+
A
68<
B
+
A
-C
A
7
@
-
DE9
FG
@
=
>
+<
>
9!
@
CH
@

6I
>
2
-

45-
G
@

A
68
B
+<
>
&=
>
&CH68G
@


& - & J- − = −
+
A
=
B
6<2
@
2
A
-

6<
B
+
¡

 KL&CH68 0<
-   -  F - F J− − − + − =

456-
8M6&N6OPQ-2+G
@
3G
@

@
Q!H
A
?F
!
@
=
>
R+<
>
CH
@
+S
A
!
@

Q
 6
B

B
+
A
+!
@

G
A
+<!G
@
3G
@

@
Q
FTU'6T+G
@
3G
@

@
Q
%!&7(-.80123
%9:;<=>$?@=:5A=-$B
*
C=D

E
:456F
E
:456
456-
7
@

B
6=
>
6<
B
+CH
@
68
@
Q
B
6=
A
&6
A
+=
@
<
+
B

C

A
8I
@

   FQ+ + =
uuuur uuur uuur uuuur
G
A

  + +
uuuur uuur uuur

456-
&CH68 
( )
( )
 
  -  J - F − + − − =
 &CH68 +4'
 !"#

DVW68*"+)UCH6 &CH68 +4
B
6'3I
@
X
 '+
@
7
B


%9:;<=>$?@==4=>:$B
*
C=D
E
:456GF
E
:456G
456G-
!S+6H
a
r
!
@

b
r
Y
A
+
0
r
Y+<
@
&CHG
@
0
A
-0+
!S+6H

p 2a b= +
r r r
!
@

q a xb= +
r r r
7
@
+<
@
&CH
7
@

B
6=
>
6<
B
+CH
@
68
@
Q
B
6=
A
&6
A

+=
@
<
+
B
G
A

  + +
uuuur uuur uuur

456G-
K
>
!
@
3=
B
7<Z
B
&CH68G
@

( )
( )
 
  -  J - F 
− + − − =
[\
A


H(:5
*
-$
%
&'(
)
*&'
+
,
)
*
%
*-
)
.
%
$
%
*
/
.01
)
*
+


)

%

,
)
*2
/
"
/

)
*30
%
34
I (JKL
MN
%!)
E
'(
45 OP5=> 2
45
.0Q13
.0/Q123
∪ = −∞A B ( ; 2009)
∩ =A B [12; 25)
=A \ B [25; 2009)
.0Q123
∀ ∈ + − ≥¡
2
A :" x : x x 2 0"
0Q
0Q
0Q

0Q
45
.0/Q13
.0/Q123
]L6:60<28'&CH68 
 3 F
J 3 
+ = −


+ =

KL'6C^+!"3?J
.0Q123
DS
_

@
6
B
<
A

F.0Q123
? `S
A
62-!H
A
-
≥

a<286bP
? `S
A
62?-!H
A
-
<
a<286bP
0QR
0Q
0Q
0Q
0Q
45
.013
S.0/Q123
cC!(&6
( )

& J - & − = −

0Q
0Q
 !"#

9CH68G
@
+
A
=

B
6<2
@
2
A
-
∈
¡
Y

& J 
&  

− =

− =

K
>
=
B
&CH68G
@
CH
B
+&
S.0Q123
`S
A
6&CH68G

@
686C
@
Y
>

- ≤ 0<28'+)&CH68G
@


 - < ≤
0<28'+)&CH68G
@


 - F< ≤
0<28'+)&CH68G
@

-dF0<28'+)&CH68G
@

e:67<%6Z
B
&=
B
a
0Q
0Q
0Q

0Q
0Q
0Q
456
.013
3.0Q123
G
@
CH
B
+6
B

B
=
>
J
G
@
CH
B
+6
B

B
=
>
FJ
3.0/Q123
G

A

B
U
@
+
B
QF
G
A

B
U
@
+
B
Q
G
A
+<!&QfQg
83.0/Q123
G
A
+=
@
<+QJ
h=
B
6G
A

+G
@
3G
@

@
aQQ

0Q
0Q
0Q
0Q
0Q
0Q
0Q
%!)
E
7(
456
.013
S.0123

   Q Q Q Q Q Q+ + = + + + + +
uuuur uuur uuur uuuur uuur uuuur uuur uuuur uuur

   FQ Q Q Q+ + = + + +
uuuur uuur uuur uuuur uuur uuur uuur

   FQ+ + =
uuuur uuur uuur uuuur

!G
@
Q7
@
68
B
6Z6
A
+
S.0123
G
A
3
A
YG
A
CH
@
68
@

B
6=
A
&6
A
+3I
@

a 3

3

+
A

  + +
uuuur uuur uuur
F
MO
uuuur
F
a 3
3

a 3
0Q
0Q
0Q
0Q
0Q
0Q
456
.013
S.0Q123
9CH68G
@
+
A
=
B

Y!
@
+G
>
Y
' 0∆ ≥

1≠ ±

2
2
4m 4m 1 0− + ≥

1
≠ ±

0Q
 !"#


( )
2
2m 1 0⇔ − ≥
!H
A

B

1≠ ±
DZ

B
2
1
≠ ±
6G
@
&CH68G
@
7<+
A
=
B

S.0Q123
+
A
&CH68 +4'-=
2
m 2m 8 0+ − =
K
>
&CH68G
@
CH
B
+Z
B
?J7
B


DH
A
6G
@
=
B
+
@
7
B
-?
0Q
0Q
0Q
456G 
.013
S.0123
+
A

p
r
!
@

q
r
+<
@
&CH=6

@
6
B
0
A
6C
B
+0+
p mq=
r r


⇔

2a b+
r r

a xb+
r r

(2 m)a (1 mx)b 0⇔ − + − =
r r r
DG
@
!S+6H
a
r
!
@


b
r
Y
A
+
0
r
!
@
Y+<
@
&CH=
2 m 0
1 mx 0

− =

− =

K
>
=
B
6CH
B
+-
1
2

S.0123

C
A
CH
B
+

   FQ+ + =
uuuur uuur uuur uuuur
!G
@
Q7
@
68
B
6Z6
A
+
G
A
3
A
YG
A
CH
@
68
@

B
6=

A
&6
A
+3I
@

a 3
3

+
A

  + +
uuuur uuur uuur
F
MO
uuuur
F
a 3
3

a 3
0Q
0Q
0Q
0Q
0Q
0Q
0Q
0Q

456G
.013
DH
A

1≠ ±
+
A

'
∆

2
4m 4m 1 0− + ≥

( )
2
' 2m 1 0⇔ ∆ = − ≥
!H
A

B

1
≠ ±
    DZ
B
2  &CH  68G
@
  7<  +

A
   =
B
  &Z  3=
B
6
−
= =
− +
1 2
1 3
x ; x
m 1 m 1
!H
A

B

1
≠ ±
 DH
A
        6G
@
 &CH  68G
@
  68H
>
 6
@

  ?-  i  F    
2-
3
2
−

 DH
A
      ?  6G
@
 &CH  68G
@
  68H
>
 6
@
  ?g-  i  F    
2-
1
2
−

0Q
0Q
0Q
0Q
 !"#

j
B

+
A
+
>
Y
A
+=
A
<<
A
6G
A
0CH
B
+CH
>
68
B
=
>
0
A
+<
>
+Z<
 !"#