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):
*+, /01."12&%-34#
(
$%#56(
1.71-128+
Câu 3 (2 điểm):
1.9%'8:;"<=9%>=.)-$%1.9%-?1@A
B78:;C%D-
8--1E@>F(
x
G-!H/-EI/
Câu 4 (2 điểm)
J71@AKLMN$%1-O-7%1@AK*P<E#<"J$1@A
KL"JC%:P<E1-N
J-MJC%.P<EQ+$*P<E#<"J
RC%1@AS1@AKLMNJ-JRTTM
J7M("US1@AK.P<E-J
Câu 5 (2 điểm)
8-34V+<GWLN(!))"71HWLNC%X:34
HƯỚNG DẪN GIẢI
Câu 1 (2 điểm):
25 9+
DG5Y
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):
*+, /01."12&%-34#
(
$%#56(
1.71-128+
N *12&+, /0
x -2 -1 0 1 2
y = x
2
4 1 0 1 4
*#5F(
J7! #F(J7) #)
ZWV$*
Z7%1.71-12&%-34#
(
$%#56(C%/-E@>8
(
5F(
(
F5G(!
HGG!
)
) #
)
)
(
( #
(
[
;#1.71-128+C%L))N$%L([N
Câu 3 (2 điểm):
\=9%C%L-NL]^ )N"=.3*C%6)L-N
81.9%-?1@AB78:;C%D-_E90#7H
(
GLF)N
(
D
(
(
G
(
F(G)6(D!
(
(
6(6([!
(
F6)(!
W#
)
[L`N
(
F5LC7'N
;#=9%C%[-"=.C%5-
R
J
8--1E@>F(
x
G-!L)NH/-EI/
]a
x
L]^
≥
!N
L)N
(
6(G-!L(N
]EL)NH(/-EI/8EL(NEbH/-9@>
EL(NH/-9@>
'
1 2
1 2
1 m 0
x x 2 0 0 m 1
x .x m 0
∆ = − ≥
+ = > ⇔ < ≤
= >
;#$
0 m 1< ≤
EL)NH(/-EI/
Câu 4 (2 điểm)
H
·
0
ABO 90=
LTC%PP<E#<N
·
0
ACO 90=
LTPP<E#<NcZM
·
·
0
ABO ACO 180+ =
;#MJ.P<E1@AK1@ASM
F*1@AK1@ASM"1@AK%#
dLMN'$%J
- Q4JHP<E#<e$*
\ZC%71-J$%M
fB
∆
JHJ
∆
JI'
R71HZ12A$gC%1@AEI"1@A7"1@AV
∆
J ZZJ
fB
∆
JRHZZJLJ`+N
MMJLN
MZC%1@A8
∆
JR
JRTTMZ#JRTTM
c.
ABC∆
C%-I MZT( cC%71-M$%LMN97M(+cC%
1-M"-%cTZ(T5+cC%I--J$%hC%I-1@AK.P<E
ABC∆
"$;#S1@AK.P<EcZT(
Câu 5 (2 điểm)
8-34V+<GWLN(!))"71HWLNC%X:34
Q<H)"("5:348GWLNi)!!!GjGjGji(!))
<HD:34kC+8GWLN )!!!! (!))
;#H[:34
n abcd=
97i(!))+)7a(
TH1:(H<
b 0≠
7a
c 0≠
8GWLN (!))l
Q+!$%!S1H
200d 2 d 2011+ + =
mCn$8oKCp
TH2:)"<ij8GWLNi)j!!G)G5ji(!))
Q+j"S1HL)j!!G)!G9NG)GjGG9(!))
Z#))G(9)!)97
d 9≤
+)!)))G(9
≥
))G)Y
83
c
11
⇒ ≥
+Y7aj
<Y8))YG(9)!)
⇒
9)5T($mCn
$;#j
⇒
9)
qC')jj)G)GjGjG)(!))7b-r;#(!))