

SỞ GIÁO DỤC & ĐÀO TẠO KIÊN GIANG
TRƯỜNG THPT HÀ TIÊN



ĐỀ 1
Bài 1. !"#$%&
Bài 2.'()*+,+-./,012
3
&40./,012525&
Bài 3.67879:;<=893;:=9>3;:=&
:?@ABCD678&
3?@++,"D678&
Bài 4.678E&
:?CAFGHG#IG,J7E8&

AB
uuur
K
DC
uuur
13
MN
uuuur

AC
uuur
K
DB

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13
MN
uuuur
3?L 0JMN*O7EP*O8Q
HA
HD
1
KB
KC
1
2
1
&

HK
uuur
1
3
1
93
AB
uuur
K
DC
uuur
=&
ĐỀ 2
Bài 1. ,01R92=12
3

−S2K<&
:?T-./,01R92=&
3?E)+,./UVIV66/D20≥<&
Bài 2. :?CQ6V#$
?2
3
>93
2
K:=2K3K
3
1&
?2>W12
3
>X2KY&
3?Z/JV#$
?
x m
x 1
+
−
K
x 3
x
+
13+[&
?2K:1<2K>:"0 &
Bài 3. CQ6V#$
:?
2 2
x xy y 7

x y 5

− + =

+ =

 3?
2
2
2y
3
16
4x 3
3y
5
11
2x 5

+ =



− =

&
Bài 4. :?@\V]A!^20J79:;3=+,89>S;X=&
?'6/A!JJ^G,AB678&
?'6/A!JEJ
DA
uuur

K
DO
uuur
1
BA
uuur
&
3?678&CA_G,J*O88_1
3
1
8+,`G,Jab
CE
uuur
13
AB
uuur
&7_`],&
ĐÊ
̀
3
Bài 1. CQV#$2
3
−W2−::132−3&
Bài 2. :?T-[
c

d
,[
e
01

2
x 4x 1, neáu x 5
x 1, neáu x 5

− − ≤

+ >

&
3?'6
d
*
f
V#$9−:=2
3
K32−3K13*
d
VB2
:
2
3
a
2
1
x
K
2
2
x
1

X&
Bài 3.gU78E+,JFh0i&
:?F7
3
KF
3
1F8
3
KFE
3
&
3?
MA
uuuur
&
MC
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1
MB
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&
MD
uuuur
&
Bài 4.@\Vj
f
A!^2079><;>k=893;X=9>l;Y=P92;:=&
:?@m
c


d
[d+n$
u
r

u
r
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AB
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1
AC
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&
3?@2J7P],&
ĐỀ 4
Bài 1. CQ+,GU6V#$n:?9
3
K=21
3
−:
3?
x m
x 1
−
−
K
x 1
x m
−

−
13&
Bài 2.CQ+,GUV#$
Tổ Toán - Trường THPT Hà Tiên 3
:?
{
(m 1)x my 2
2mx y m 1
+ + =
+ = +
&
3?
{
mx 2y 1
x (m 1)y m
+ =
+ − =
&
Bài 3. ,012
3
K2K./G,9o=&
:?@J9o=pJ79;3=89:;=9>:;W=&
3?Tq#Ib02()*+,+-./,&
<?Eh./GUDV#$2
3
−<2KS−r1&
Bài 4.678O&@*O7887GHG#IG 06JFo
BM
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1

2
1
BA
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
BN
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1
1
3
BC
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
AP
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1
5
8
AC
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&
:?@
AB
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&
CA
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&
3?8J/
MP

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
AN
uuur
n
AB
uuur
+,
AC
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&
<?NFo+[+q7&
ĐỀ 5
Bài 1.CQV#$322−<132&
Bài 2.@J
:?o#$2
3
K39K:=2K9−:=132
:
2
3
a
2
1
x
K
2
2
x
1S&

3?o#$X2−3K<132−<K"0 &
Bài 3. 793;:=89W;<=9<;S=E9k;3=&
:?N78G,6+[BO&@"678&
3?N678E8G,h&
<?'6/B+,6r#stOV678&
Bài 4.+[78EO&
CAFG,3JN*O88F11
4
1
&@
DM
uuuur
&
DN
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n&
ĐỀ 6
Bài 1. ,012
3
>S2K<&
:?'()*+,+-./9o=D,&
3?E)+,./9o=b0GUnDV#$
2
3
>S2Kk>19:=
Bài 2.CQ+,GB
d
V#$92K:=1
3
−W−32&

Bài 3.678&
:?@*8G 0JF+,_
MB
uuur
1<
MC
uuuur
+,
IB
uur
K
IC
uur
1
0
r
&Mb0J/
AM
uuuur
n
AI
uur
+,
AC
uuur
&
3?@UVIVJFaF7
3
>F8
3

K7
3
>8
3
1&
Bài 4.@\V]A!^20793;>X=89>:;<=+,9X;X=&
:?78G,uD!6&
3?@O!Jv
FA
uuur
−S
FB
uuur
1
BC
uuur
&
<?@O!J!w^0
NA
uuur
K
NB
uuur
K
NC
uuur
x &
ĐỀ 7
Bài 1. '()*+,+-./9o=D,01
2

x
2
−2K:&
Bài 2. CQ+,GU6V#$n
:?
3
92−:=K<219
3
K<=2−:
3?−3K
4m 1
x 2
−
−
1&
Bài 3.678&CA_yPG,Ja
AI
uur
13
AB
uuur

BJ
uur
13
BC
uuur
+,
CK
uuur

13
CA
uuur
&
NAB678zG,AB6_yP&
Bài 4.678781l71k81X&
:?@
BA
uuur
&
BC
uuur
&408&
3?@*O78G 0JE,7E1<&@
BD
uuur
&
BC
uuur
&
ĐỀ 8
Tổ Toán - Trường THPT Hà Tiên <
Bài 1.,012
3
>S9−:=2K<&
:?'()*+,+-./9o=D,r1&
3?@J,.*rQ9−3;K∞=&
Bài 2.CQ6V#$+,V#$
:?32−X12K:
3?

4 x 1 3 y 2
x 1 5 y 11

+ − = −

+ + =

&
Bài 3. 678E&CAFGHG#IG,JD7E8+,_yGHG#IG,JD7+,
8E&
:?N
?
AB
uuur
K
DC
uuur
13
MN
uuuur
&
?
AB
uuur
K
CB
uuur
K
AD
uuur

K
CD
uuur
1S
IJ
ur
&
3?CA^G,Ja
OM
uuuur
1−3
ON
uuur
&
OA
uuur
K3
OB
uuur
K3
OC
uuur
K
OD
uuur
1
0
r
&
Bài 4.@\V]A!^2079<;S=89S;:=93;<=&

:?@A!ABCD678&
3?@A!J_a
IA
uur
K<
IB
uur
KS
IC
uur
1
0
r
&
<?@J`*#s]01−3J78`],&
ĐỀ 9
Bài 1. @0*JV#$"0 92;0=+q20G,0*
{
mx y 2m
x my m 1
+ =
+ = +
&
Bài 2. T-./+,GUVQ*D,012
3
−S2−3&
Bài 3.CQ+,GUV#$n
2
x mx m 1
x 1

− + +
+
1
x 1+
&
Bài 4.+[78E#s781360Gq81<60a7E1&
:?@6+[#q
AB
uuur
&
CD
uuur

BD
uuur
&
BC
uuur
+,
AC
uuur
&
BD
uuur
&
3?CA_G,JE&N7_+[+q8E&
Bài 5.@\V]A!^2067879S;<=893;k=9−<;−l=&
:?@A!DABC)BM+,B_D#stAVD678&
3?NCM_],&
ĐỀ 10

Câu 1: Giải các phương trình sau: (2 điểm)
&
:<
:
k3
−=
−
+
x
x
x
b)
k<<X
−=+
xx
Câu 2: a. Lập bảng biến thiên và vẽ Parabol: y=x
2
+x-6 (2 điểm)
b. Xác đònh hàm số bậc hai y=ax
2
-4x+c,biết rằng đồ thò của nó có hoành đỉnh là -3 và đi qua điểm A(-
2;1) (1 điểm)
Câu 3:Giải hệ bất phương trình: (1 điểm)





+−>++
+<+

−
=:3=9:9=:93
<
:
3
<
33
3
xxxx
xx
x
Câu 4: Xét tính chẵn lẻ của hàm số: y=f(x)=
x
x 3
3
+
(1 điểm)
Câu 5: Cho ngũ giác ABCDE,chứng minh rằng: (1 điểm)
a.
ABCBCEDCDEAC
=+−−+
b.
DEAECDBCAB
−=++
Tổ Tốn - Trường THPT Hà Tiên S
Câu 6: Cho tam giác ABC có A(-2;1) ,B(2;3),C(0;-1) (2 điểm)
a. Chứng minh tam giác ABC cân
b. Tìm điểm E sao cho tứ giác ABEC là hình bình hành
Câu 7:Tìm m để phương trình: mx
2

+(2m+1)x+m-2=0 có 1 nghiệm (1 điểm)
ĐỀ 11
7&oM{M|CM^@}@~•@M€4_M
Câu 193J=,
<2S20
3
+−=
= T-./9o=D,&
= @O!JD9o=+q#s]01<2•<&
Câu 293J=CQ6V#$
=
:
S2
S
32
:
32
l2
3
+
−
=
+
−
−
+
=
W2332<
+=+
Câu 39<J=@\V]O!^2079S;:=89:;S=93;•:=

= N678G,6+[&
= @O!B_+,6r‚D#stOV678&
= @O!JMG,+[D7*8&
Câu 4:  9:J=N+qAG,)r6G[
( )
S

:

:

33
33
≥






++
&
8&oM{‚_ƒC
Câu 5a9:J=CQV#$
:23:2W
3
+=+
Câu 6a9:J=V#$
( )
:232:

3
=−+++
@6/DJV#$VB
3:
22

X22
3
3
3
:
=+
Câu 5b9:J=CQ+,GUV#$ 9+qG,=
( )
<2
2
<2
22<
+
−
=
−
−++
Câu 6b9:J=@6/DJV#$



=+++
=+−
30=<92=<9

0X2=39
ĐỀ 12
Bài 1 : =@@'ZD,
:
0
2 3 < 32
=
− − −
.
=F‚+qA)*SKXG,G„G,G„&
Bài 2 : &CQ+,GUV#$
92 2 3=92 := − + + =
&
&CQ+,GUV#$
3
9 :=2 39 3=2  < − − + + + =
&
Bài 3 : =PQ6+,+-./,
3
0 2 32 3= − − −
&
=E)+,./,J#s]01•<2•3xVG
3
0 2 2 = − +
O3J
VB
Bài 4 : 67879<;•:=89;S=+,ABC9S;•:=&
&Mb026/A!u+,A!)BMD678&
&Mb026/A!JEJ678CEG,,&
'6/BD,&

&@678G,6A06h…
Tổ Tốn - Trường THPT Hà Tiên X
Bài 5 : =
:

<
α = −
&@6/J
<
 
F
< •
α + α
=
α α
&
=@6/J
   
7  3 &&& :W :l= + + + +
ĐỀ 13
Bài 1 :
='(†D
3
o ‡ 2 ‚  2 <2 3 ‡= ∃ ∈ − − ≤
&LUVVD/D&
=
{ } { }
7 2 ‚ ˆ 2 : 81 2 ‚ˆ 5 2 3 5 := ∈ > − ∈ − ≤
&Mb026/6UVIV
7 8;7 87 ˆ 88 ˆ 7∩ ∪

&
Bài 2 : =CQ+,GUV#$
5 <2  5 55: 32 5− = +
&
=CQ+,GUV#$
3
9 :=2 93 :=2  3 + − + + − =
&
Bài 3 : =PQ6+,+-./,
= − − − −
2 2
y x x 6 vaø y=|x x 6 |
&
=E)+,./,
− −
2
y=|x x 6 |
JGUnDV#$
− − =
2
|x x 6 | m
&
Bài 4 : 678O3AFG,JN*O8F813FG,
JD7&
&
= − −
uuuur uuur uuur
1 1
CMR : MN AB AC
3 6

&
&oB
uuuur
AM
n3+($
@
uuur uuur uuuur uuur
AB,AC. AM.MC
&
Bài 5 :@V203J79:;:=89•3;<=&
a. @A!JJ67^8G,,&
b. '6/A!JE^G,AB678E&
c. @A!JF*^29F7KF8=a &
ĐỀ 14
Bài 1 : a)CQV#$
2 2
x y 130
xy x y 47

+ =

− − =

&
=@UV26/D,
3 2
x 1
y
x 4x 4x
+

=
− +
Bài 2= @J,
2
y x (m 1)x m 5= − − + −
.*9•:;<=&
=CQ+,GUV#$
| 4x m | | 2x m |+ = −
&
Bài 3 :V#$
2
(m 2)x 2(m 1)x m 2 0+ − − + − =
9:=
& CQ+,GUV#$9:=&
& '6/JV9:=†:"#$&
Bài 4 : 
&,78EB^FG,JDA8^&Mb0J"‰
AM
uuuur
n
7EAB
uuur uuur
&
&@V20678&ZJ79•3;=89;•S=9•:;•<=&CAFGHG#IG,J
D8+,FAMG,JDF+,7P&Mb026/A!JM+,P&
Bài 5 : 678783;81S;71<&
&@
AB.AC
uuur uuur
&

&CACG,AB678&@
AG.BC
uuur uuur
…
ĐỀ 15
Bài 1=CQ+,GUV
(a 2)x (a 4)y 2
(a 1)x (3a 2)y 1
− + − =


+ + + = −

&
=@@'ZD,
2
y x 1
3 2x
= + +
−
Bài 2V
2
x 2(m 1)x 2(m 2) 0(1)− + − + =
= F‚o9:=G[3/*VB&
= @ Q66/DJJ
2 2
1 2 1 2
A x x x x= + − +
O6/a &
Tổ Toán - Trường THPT Hà Tiên W

Bài 3
a ( 1;1),b ( 2; 1)= − = − −
r r
+,
c (x; 3)= −
r
&
= Mb0VB+($
x ( 4;1)= −
r
n3+n
a,b
r r
&
= @2J+n
c (x; 3)= −
r
+,
a ( 1;1)= −
r
hV#$&
= @J
d (m 1;2m 3)= − +
r
+,
b ( 2; 1)= − −
r
&
Bài 4 : 678FG,J)I26/Š
4AM AB 3AC= +

uuuur uuur uuur
&
& F‚<JF8],&ZJFO8nu,…
& 8
·
0
ABC 60=
+,
AB AM 3 3= =
&@
AM.MC
uuuur uuur
…
Bài 5=2K21
7
&@
S S
 2K 2
…
=678
µ
0
A 60=
1:1<&@*O78G 0JE8E1:&CA`G,
JE&@
AE.BC
uuur uuur
…
ĐỀ 16
Câu 1 : V#$

2 2
2
x y 2(a 1)
(x y) 4

+ = +


+ =


&CQV+q13&
&@66/DJV*"0 &
&@66/DJV*+[&
Bài 2 : . @JV
x m x 2
2
x 1 x
+ −
+ =
+
0*"#$&
&CQ+,GUV#$
2 2
(m 2m 3)x 9 m 0+ − + − =
&
Bài 3: @V2067879:;3=89•3;•<=9S;•:=&
&@!",#s7MD
ABC∆
&@‹0"

ABC∆
&
&@A!B#stOV
ABC∆
&
Bài 4 : &CQV#$
2 2
4x 12x 5 4x 12x 11 5 0− − − + + =
&
&CQV
x 1 2x 1 x 3 2x 3+ + − = − + +
Bài 5 : T-9o=
2
y 2x 3x 2= + −
+,9"=0132K:&'6/A!JD9o=+,9"=&E)+,
./GV
2
2x x 3 m 0− − + − =
&
ĐỀ 17
Câu 1 : CQ6V&
x x
1.
x 1 x 4
+ =
+ +
&
15 x 3 x 2− = − +
&
Câu 2 : 

@ Q66/DJV#$"0 
(m 1)(m 2)x
m 2
2x 1
− +
= +
+
&
Câu 3 : 678*O8G 03J_y8_1_y1y&
&N
2 1
AI AB AC
3 3
= +
uur uuur uuur
&
&8
µ
0
A 90=
+,81W\
u AB AI AJ AC= + + +
r uuur uur uur uuur
&@!",D+($
u
r
&
Câu 4 : CQ+,GUVn
x my 3m
mx y 2m 1

+ =


+ = +

&
@JG*g2+,0r[Vw!+,&
Câu 5 :
@JV
2
mx 2(m 1)x m 0− − + =
3VB+,,0 VSGHr&
ĐỀ 18
Bài 1 : CQ+,GU6V#$
&
2
m x 6 4x 3m.+ = +
&
(x 1)(x mx 2) 0− − + =
Bài 2 : CQ+,GUV#$
x m x 2
0
x 1 x 1
− −
− =
− +
&
Bài 3 : @V2079•<;<=+,89S;S=
&@JF!278],&
Tổ Toán - Trường THPT Hà Tiên k

&@J!0678+[O&
Bài 4 : @*6O7887D678GHG#IG 06JFo
1 1 1
AM AB,BN BC,CP CA
3 3 3
= = =
uuuur uuur uuur uuur uuur uuur
&F‚3678+,FohAB&
Bài 5 : 67879;•:=89:;3=9S;:=&
&F‚678G,6+[B&
&'6/B#stOV678&
ĐỀ 19
Bài 1 : @@'ZD,
2 3
0
3 < 32
−
=
− −
.
Bài 2 :
& @ Q66/DJV#$
3
2 9 <=2  W − − − + =
:
"#$&
& CQ+,GUV#$
3
2 39 :=2  < + − + + =
&

Bài 3 : . CAFGHG#IG,JD78+,E&F‚
2MN AC BD= +
uuuur uuur uuur
&
&678UVIV6JFab
| MA MB | | MA MC |+ = +
uuuur uuur uuuur uuur

Bài 4 : =
:
2K21
S
&@6/J
S S
 2  2+
&
&678E793;=89;•S=9X;•<=E9W;W=&Mb026/A!JD3#s
(&
BÀI TẬP ÔN CHUYÊN ĐỀ
1&F‚+q
:
3
m∀ ≠
VG
3
93 := < :y m x mx= − + +
G[pJ/&
2.
3
9 =  S <P y x x= − +

+,
3
9 =  3d y mx m= −
&
=@A!JD
9 =9 =P d
r
:m
=
&
=@
m
J
9 =P
x
9 =d
OJVB
A B
&@UVIVJ
I
DO
AB
&
3.CQŒ
: 3
x x
G,6Do@
3 3
9 3= x mx m− + − =
&@C@C@LDJ

: 3 : 3
3 3F x x x x= + +
&
4.CA
: 3 <
 x x x
G,6DV#$
< 3 3 3
93 <= 93 Y= 3 < k x m x m m x m m− + + − + − + − =
&
@6/Gq 6/a D
3 3 3
: 3 < : 3 <
A x x x x x x= + + +
&
5.o@
3
3 x x m− + =
+,
3
3 < x x m+ − =
&@
m
Jo@
=& =@#$#$& =62nr-&
6.
3
S S
9 <= 3 <
mx y m

x m y m

+ = +

+ + = +

=CQ+,GUn
m
&
=@#sIV"0 
 
9 ; =x y
b0!G*g
 
x y

r[Vw!+,
m
&
7.@h0n6/
a
b06/a DJ
3 3
9 < 3= 93 l=A x y x ay= − + + + +
&
8.CQ
=
3 3
3 3
3 < 3

3 < 3
x x y
y y x

− = −


− = −


=
3 3
3 3
< 3 ::
3 < :k
x xy y
x xy y

+ + =


+ + =


=
3 3
3 l 3
S
x y xy
x y


+ + =


+ =


&
9.@
m
J
:
3 <
x y
x x y y m

+ =


+ = −


&
10.CQ6o@
=
3 3 3
: 3 3 <x x x x x− + + − = + −
=
3 3
3 X 3 3& 3 X W :x x x x+ + − + + =

&
=
3 < X 3x x x+ − − = −
"=
3
Y Y Yx x x x+ − = − + +
&
Tổ Toán - Trường THPT Hà Tiên l