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K× THI TUYÓN SINH líp 10 THPT
N¨M häc 2011 - 2012
M¤N THI: TOÁN
Thời gian làm bài: 120 phút không kể thời gian giao đề
Câu 1 (2 điểm):
 
25 9+

2
( 5 1) 5− −
 
2
1
:
x y xy
x y x y
+ +
+ −
 !"# !$%

#
&'(!)($%#(!))
Câu 2 ((2điểm):
*+, /01."12&%-34#
(
$%#56(
1.71-128+
Câu 3 (2 điểm):
 1.9%'8:;"<=9%>=.)-$%1.9%-?1@A
B78:;C%D-
 8--1E@>F(


x
G-!H/-EI/
Câu 4 (2 điểm)
J71@AKLMN$%1-O-7%1@AK*P<E#<"J$1@A
KL"JC%:P<E1-N
 J-MJC%.P<EQ+$*P<E#<"J
 RC%1@AS1@AKLMNJ-JRTTM
 J7M("US1@AK.P<E-J
Câu 5 (2 điểm)
8-34V+<GWLN(!))"71HWLNC%X:34
HƯỚNG DẪN GIẢI
Câu 1 (2 điểm):
 
25 9+
DG5Y

2
( 5 1) 5− −

( 5 1) 5 5 1 5 1− − = − − = −

2
1
:
x y xy
x y x y
+ +
+ −
 !"# !$%


#

2
2 ( )
1
: .( ) ( )( )
x y xy x y
x y x y x y x y
x y x y x y
+ + +
= − = + − = −
+ − +

'(!)($%#(!)) )
Câu 2 ((2điểm):
*+, /01."12&%-34#
(
$%#56(
1.71-128+
N *12&+, /0
x -2 -1 0 1 2
y = x
2
4 1 0 1 4
*#5F(
J7! #F(J7) #)
ZWV$*
Z7%1.71-12&%-34#
(
$%#56(C%/-E@>8


(
5F(
(
F5G(!
HGG! 
)
) #
)
)

(
( #
(
[
;#1.71-128+C%L))N$%L([N
Câu 3 (2 điểm):
 \=9%C%L-NL]^ )N"=.3*C%6)L-N
81.9%-?1@AB78:;C%D-_E90#7H

(
GLF)N
(
D
(

(
G
(
F(G)6(D!

(
(
6(6([!
(
F6)(!
W#
)
[L`N

(
F5LC7'N
;#=9%C%[-"=.C%5-


R
J
 8--1E@>F(
x
G-!L)NH/-EI/
]a
x
L]^

!N
L)N
(
6(G-!L(N
]EL)NH(/-EI/8EL(NEbH/-9@>
EL(NH/-9@>
'

1 2
1 2
1 m 0
x x 2 0 0 m 1
x .x m 0

∆ = − ≥

+ = > ⇔ < ≤


= >

;#$
0 m 1< ≤
EL)NH(/-EI/
Câu 4 (2 điểm)
H
·
0
ABO 90=
LTC%PP<E#<N
·
0
ACO 90=
LTPP<E#<NcZM
 
·
·
0

ABO ACO 180+ =
;#MJ.P<E1@AK1@ASM
F*1@AK1@ASM"1@AK%#
dLMN'$%J
- Q4JHP<E#<e$*
\ZC%71-J$%M
fB

JHJ 

JI'
R71HZ12A$gC%1@AEI"1@A7"1@AV

J ZZJ
fB

JRHZZJLJ`+N
MMJLN
 MZC%1@A8

JR
 JRTTMZ#JRTTM
c.
ABC∆
C%-I MZT( cC%71-M$%LMN97M(+cC%
1-M"-%cTZ(T5+cC%I--J$%hC%I-1@AK.P<E

ABC∆
"$;#S1@AK.P<EcZT(
Câu 5 (2 điểm)

8-34V+<GWLN(!))"71HWLNC%X:34
Q<H)"("5:348GWLNi)!!!GjGjGji(!))
<HD:34kC+8GWLN )!!!! (!))
;#H[:34
n abcd=
97i(!))+)7a(
TH1:(H<
b 0≠
7a
c 0≠
8GWLN (!))l
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200d 2 d 2011+ + =
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d 9≤
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83
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⇒ ≥
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