Đề thi tuyển sinh lớp 10 THPT tỉnh Tây Ninh năm học 2012 - 2013 môn Toán




  ! "
#$%&'()Không chuyên*
 + 
 
,&-%(k
hông kể thời gian giao
đề)
./1điểm
 
./ 1 điểm !
./"1 điểm !
./0 1 điểm "#$#%&'%(
)
 
./1 1 điểm*+",-.'/
./2 1 điểm01 !
    "#       (
!
23 .
 "413 -56.
#%&!
./+ 1 điểm "#",-'/7
8%9"#(%":;<!
./3 1 điểm01=>0?%@9=
("1=A!01B3!A4 ":C
"1=A!
./41 điểm01=>0?%@9=!D"E"F=>7>09G!H%=G
6:"#I!/>I?F1C7=09J!0&&0GIJ:&:B!

./1 điểmH"EKC:CL %=>(M%CF@"N"F!
O"-?-."#PH%Q'11% ?=P>(-Q6!
= R! S=
> T U RV= +
R
R S Vx x− − =
R U
T WV
x y
x y
− =


+ =

x
R
W
Xx −
R
< x−
R
y x=
( )
R R
R  W  T Vx x− + + + =
W
x
R
x

W R W R
= x x x x= + +
T  Wy x= + −
=> T
=
=0 <
=
»
=>
YZ[\
56
./1điểm!

!
./ 1 điểm !
!
3!
3!
*]!
./"1 điểm !
!
*] 
"41(C%6
!
./0 1 điểm "#$#%&'%()
()  !
()!
./1 1 điểm*+",-.'/!
>
V W R

< W V W <
./2 1 điểm
!
      "#       (
!
!
^ (
!
 -56.#%&!
_M%F!
`1*a(b!
!
Floi? F@5"M%F!
PcF ? 
!
= R! S Wd <= = =
> T U RV T U R U U U= + = + =
R
R S Vx x− − =
( ) ( )
R
e W W! S X V∆ = − − − = >
e X T∆ = =
W
W T <x = + =
R
W T Rx = − = −
{ }
f g <b R −
R U U WU T T

T WV T WV X WV W
x y x x x
x y x y y y
− = = = =
   
⇔ ⇔ ⇔
   
+ = + = + = =
   
( )
TbW
x
R
W
Xx −
R
X Vx⇔ − ≠
R
Xx⇔ ≠
Tx
⇔ ≠ ±
R
< x−
R
< Vx⇔ − ≥
R
<x⇔ ≤
R Rx
⇔ − ≤ ≤
R

y x=
x
R−
W−
R
y x=
( )
R R
R  W  T Vx x− + + + =
( )
( )
R
R R R
e  W W!  T  R W  T R R∆ = + − + = + + − − = −
e V
⇔ ∆ ≥
R R V
⇔ − ≥
 W
⇔ ≥
W R W R
= x x x x= + +
 W≥
W R
R Rx x+ = +
R
W R
 Tx x = +
( )
R

R R
W R W R
= R R  T  R U  W < <x x x x= + + = + + + = + + = + + ≥
⇒

= <=
 W V
+ =
 W
⇔ = −
 W≥
( ) ( )
R R
=  W < W W <= + + ≥ + +
 W≥
= S
⇒ ≥
F!
Kt lunh ="9-56
?!
78& _M%F!
`1*a(b!
!
* H
*]F!
./+ 1 điểm
_,-'/78%9"#(
%":;<!
!
*]-i !

./3 1 điểm
(
!
!
78& 

!
!
./41 điểm

33D7>0
9G33>I7
=09J!
hj 0GIJ:&:B
(
(("k1"E!
PcF(:B!

&   0GIJ : B "l (
1;("/1!
./1 điểm

3  CL  =>
F@  "N3  3
%Q!
hj
 ?-PH%Q=>"#%?
=P>(-Q6!
⇒


= S=
 W=
 W=

= S=
 W≥
W R
R Rx x+ = +
R
W R
 Tx x = +
R R
W R W R
= R R  T  R Ux x x x= + + = + + + = + +
 W≥
R R
=  R U W R!W U= + + ≥ + +
= S
≥

= S=
 W=
T  Wy x= + −
 W <
⇔ − =
 U
⇔ =
 U
=
( )

R R R R
>0 => =0 T < U = + = + =
=A!>0 =>!=0
=
( )
=>!=0 T!<
=A R3< 
>0 U
⇒ = = =
R R R
W W W
=A => =0
= +
R R R R R R
R
R R R R R
=> !=0 T !< T !<
=A
=> =0 T < U
⇒ = = =
+ +
( )
T!<
=A R3< 
U
⇒ = =
=>0
∆
µ
V

= XV=
=>
Kb
R
 

 ÷
 
»
I =G∈
µ
¼
¼
( )
¼
¼
( )
»
W W W
0 '"=> '"=IG '"=G> '"=IG '">G
R R R
= − = − =
µ
0
·
»
W
>IG '">G
R
=

·
>IG
·
µ
»
W
>IG 0 '">G
R
= =
⇒
( )
K
=> Rm<
»
P =>∈
2^%?!(!
G1=>F@"NH!
G1CL=>F@"NHF@"N!
_cF@"N!
H"/.P=6"#0'1
1!
L9P(19"kL
F@"N!
_#0 "19=>
/"-CQ:(F@
"N;!
0%:%&(CH"19=> /"-!
? !
=0"F.%
&((H!

C1LnP!
P"#o.%
Q!
*]FP"#o.
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P=>∆
^ g P= p P> p =>
q
^
⇔
( )
q
P= p P>
¼
=>
¼
'"=>
α
=
P> g P0
P>0
⇒ ∆
µ
µ
W
W
P R0⇒ =
P>0
∆
µ

µ
¼ ¼
W
W
W W W W W
0 P '"=> '"=>
R R R < <
α
⇒ = = × = =
W
<
α
⇒
W
<
α
P= p P> g P= p P0 g =0
P> g P0
⇒
( )
q
P= p P>
q
=0⇔
⇔
·
V
=>0 XV⇒ =
µ µ
µ

µ
V
W R
V
W
W
> > XV
0 = XV

+ =

⇒

+ =


µ
µ
W R
= >⇒ =
µ µ
W
W
> 0=
=P>
⇒ ∆
P= g P>
⇒
¼
¼

P= P>⇒ =
⇒
»
=>
»
=>
P=>∆