TON
DE 1


!
"
" # x x x+

$!
x x +

"% &'(
"
) )x x x +
*+,-$&.
" " x x x x+ +
Cõu 2: (3 im)
*+,-$&


" "
x x
x x
+
+
"/&
"
" )
"
x
x x

"x x=
W#W#

" " x x x x+ +
" "
) )x x x x= =
W"#
W"#
Cõu 2:
(3 im)



" " " "
x x x x
x x x x
+ +
= =
+ +
W#
W#
" !Y?Y
"
" W Wx x x
:'
"x

W#
W#
$!

W
aW
MN MQ⊥
F'FI!!CD8\,6,$03  ,5BCD
D/U
MN MQ⊥
B
⊥
CD
WG"#
WG"#
W"#
W"#
WG"#
WG"#
Câu 4:
(1 điểm)
!bZ $
$!D, R,@'
)G"#G)Z""GX
"
m

WG"#
W"#
DE 2
Câu 1"GW
!
#
#X xyyx

−
−−
xx
xx
!0123 
x
&S/457
$!<,567'/3 
x
0&S/M,567$`,

"

Câu 4GW/ ,5BCE-DGFGef/&@'6,3
BCGCGB
!&,6`,&,5BDFe@'0$0'
$!HN ,5BCKB0&,5BDFe@'0,0A<0. /A
!0123  ,5BC&,5BDFe@'0:O,
Câu 5GW
!<NO,&P0LM
$!FQg:8\0LMU1P'@'cWG16Q,@')W
STP3 g:8\UHẾT.
Câu Nội dung yêu cầu Điểm
Câu 1
(2,0 đ)
!
#
#X xyyx
Z
""

WG#
Câu 2
(2,0 đ)

xx X"
"
−
Z
" −xx

"!
""
""# yxyx +−−
Z
"#"
""
−+− yxyx
Z
""
# −− yx
Z
## +−−− yxyx
WG"#
WG"#
""! U
""
""# yxyx +−−
Z
## +−−− yxyx
 T

≠x
WG#
WG#
$!
"
"
"
−
−−
xx
xx
Z

"
⇒
"""
"
−=−− xxxx

WaX
")aX
"
""
=⇒
=+−⇒
−=−−⇒
x
xx
xxxx
WG"#

"

d
"

==
!8\,6,$03  ,5
.T6 FDZFe
bT6 0$0'BDFe@'0/0$0'U
 K21$`, 
WG"#dWG"#
WG"#
WG"#
!Y0$0'BDFe@'0:O,0UBZaW
W
:'
BCZB
 T ,5BC:O,KB
WG#
Câu 5
(1,0 đ)
!bZ $:P: G$@' 283 0LM WG#
$!D3 g:8\@'cW)WZ"WW
"
 WG#
DE 3


BZ)4"4
"

≠
k#
"#
"

#

#

"
−






−
+
+
=
x
x
xx
Q

/ ,5BCG_B2l8\,m,B4./,./,:CG_2l8\,
m,T./,./,:BCGB4nTKD
&,5BCD@'0,0AK. /A
$HN ,5BCKCG0&,5BCD@'0,0AK. /A

– 4x
2
+ 13x – 12
= 4x
2
– 12x + 9 – 4x
2
+ 13x – 12
= x – 3
Câu 2
(3,0 đ)
2.1 Cho biểu thức


"
+
−
=
xx
x
P
a.P được xác định khi x( x + 1)
≠
0
⇔



≠+
≠

xx
=
x
x −
2.2 với x
≠
5; x
≠
0 và x
≠
– 5
"#
"

#

#

"
−






−
+
+
=

"
"#

"#
"
"
"
=
−






−
x
x
x
x
Câu 3
(3,0 đ)
a. Tứ giác ABCD là hình bình hành.
Tại vì: Do AB //Cy và Ax//BC (gt) nên AB//CD và AD//BC
t_U.T6 BCD@'0$0':0U5Kj./,./,
b. Nếu tam giác ABC cân tại B, thì tứ giác ABCD là hình thoi
Tại vì:Theo kNog 0&,5BCD@'0$0'
D/ , BCKC,]CBZC"
_:'".T6 BCD@'0/:0$0'U  21$`,
 

!'"44
"
)4hc
$! 6`,m,&BhC
"
!' 4
"
h)4h)4h"
2/ (0,5đ) Phân tích đa thức sau thành nhân tử:
4
"
h"4ThT
"
kp
"

Câu II
 1!1đ) 0Y?Y3 &

#"
+
+
x
x
2/ (2đ) /&
"
 

x
A

"
h"BChC
"
4
"
h)4h)4h"Z4h"
"
4h"Z4h"
2/ Phân tích các đa thức sau thành nhân tử:
4
"
h"4ThT
"
kp
"
= 4hT
"
p
"
Z4hThp4hTp 
Câu II:

! Y?Y3 &

#"
+
+
x
x
@'

#
 " " " #
"
x
x
x x x
= ⇔ = −
−
⇔ = − ⇔ = ⇒ =

<MT24Z
"
#
0,5673 &B$`,"
Câu III:

Giải
H
M
N
C
B
A
a/4&,5CHU
FHZF,
FCZF,
<MT&,5CHU 8\,/C:'Hn K6,
3 r8\,]&, CH@'0$0'
b/?&,BCHs
HF!!BCFH@'8\,C3  ,5BC

"

W"WZWW
"

DE 5
Câu 1G#A
 !44
"
h"4
$!4k"T4h"T
!% &'()4
"
k"4T
P!ST0123 4&. 457
)
 X
x
x −

Câu 2"G#*+,-
 !
( )
" "
   #x x x x x x
+ + − + − +

$!
"
# 

Câu 4G#
/
∆
BCKBG8\, /BFE-@'6,3 BGH@'
j4&,:Fo 
!&,&,5BHF@'0LMA
$!0123 
∆
BC&,5BHF@'0:O,A
Câu 5GW
/0/BCDG$NBCZ#GBZ@', /3  
8\,/ST:NO,&P0/:'P0/
BCD
Câu Nội dung yêu cầu
Câu 1
(3,5 đ)
!44
"
h"4Z44
"
h4"4h4
Z#4

kX4
"
k4
$!4k"T4
"
h
Z44

   #
# #
x x x x x x
x x x x x x
+ + − + − +
= + + − − − + =
$!
" "
#  #  # 
W  W   # 

"
x x x
x x x
x
+ + +
=
+ + +
+
=
!
( )
" " " "
" "
" "
) ) )
 )   
" "
 "
  " 

" "
#  )IB cm= − =
"


"

X ")  
"
ABCD
S AC BD
cm
=
= =
Câu 5
(1,5 đ)
!D/BZ,GFZH,]BHF@'0$0'
 U
·
W
aWAMC
=
<0BF@'8\, /
BHF@'0$0'UQ,U:O,
⇒
BHF@'0LM
$!<MTBHF@'0LMU K21BF:'F$`, L 
@'0:O,
D/:MTBFZ


$!*+,-&6]d
!0,5673 4&U,567$`,
Câu III
/0 ,BCDBC!!DGE-FGHG%GI@J@89@'6,
3 BCGCDGDB
!&,FH%I@0,0A<0. /A
$!!&,5FH%I@'0/
!HNB
⊥
CD0&,5FH%I@'0,0A<0. /A
Câu IV: (1đ)
/ ,5BCG$NCZ"WG8\, /BZ#
<NO,&P ,5BC
$P ,5BC
N

Bài Nội dung
Câu I

1/ Thực hiện các phép tính :
4
"
4"Z4

"4
"
$BC
"
ZB
"

⇔
4
≠
":'4
≠

"

$!
""
X
−+
+
xx
x
Z
""
"
−+
+
xx
x
Z
"

−x
!Y&BU,567$`,0

"


<MT&,5FH%I@'0$0'
b/ UFHZ
"

B
IFZ
"

CD
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⇒
FHZIF
<MT&,5FH%I@'0/0$0'U"K21$`, 
c/HNB
⊥
CD0&,5FH%I@'0:O,
:0B
⊥
CD
⇒
IF
⊥
FH
⇒
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∠
FZaW
W
<MT&,5FH%I@'0:O,0/U,U:O,@'0:O,
Câu IV:

⊥
B
∈
BP
 ,5BC$NCZG#
Câu 2(3,0 điểm)

" 
 "x x x−
$
"
  x y+

"
 " " )

   
x x x
x x x x
+
   
+ −
 ÷  ÷
+ − − −
   
Câu 3(1,0 điểm)
 % &
"
c cx xy x y− + −
'(

" "
ABC
S AC BH= = =
cm
2
Câu 2
a)
" 
 "x x x−
" " 
 "x x x x= −
=
 #
"x x−
b)
"
  x y+
=
" "
"   x x y y+ +
=
"
  x y+
c)
"
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
   
x x x
x x x x

" "
 

 " 
x x
x x
+ −
− +
=

"
Câu 3
a)
"
c cx xy x y− + −
= x(x – y) + 7(x – y)
= (x – y)(x +7)
b)
"
  "  a   x x x x+ − − − +
= (x
2
– x -2) – (x-3)
= x
2
– 2x +1 = (x – 1)
2
Câu 4 a) Giá trị của phân thức xác định khi (x + 2)(4x – 9)
≠
0


-Vẽ hình đúng

a) Tứ giác AEDF có DE//AF, DF//AE
⇒
AEDF là hình bình hành
Hình bình hành AEDF có một góc vuông (
µ
W
aWA =
)
⇒
AEDF là hình chữ nhật.
b)Tam giác ABC có D là trung điểm của BC, DE//AC, DF//AB
⇒
E là trung điểm của AB, F là trung điểm của AC.
⇒
EF là đường trung bình của tam giác ABC
⇒
EF//BC
Tứ giác CDEF có EF//CD ( do EF//BC) và DE//CF ( do DE//AC)
⇒
CDEF là hình bình hành
b) Tam giác ABC vuông cân tại A thì tứ giác AEDF là hình vuông. Vì khi đó,
AD là đường phân giác của của góc A .
Hình chữ nhật AEDF có đường chéo AD là đường phân giác của góc A nên
AEDF là hình vuông
DE 8
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Câu Nội dung yêu cầu
Câu 1
(2,0 đ)
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Câu 4
(2,0 đ)
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Câu 7
(1,0 đ)
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"
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AHB
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