bo do thi hoc ky 2 lop 6-7-8-9 - Pdf 16

Trưng THPT Thnh An  
   !"
#!$%&
'


 

y f x x= = −

 f

   
( !"#$%&"

'ax bx c+ + =
()*"#+$&*,- "#
 '  
)/ !"#$%&"

 0 'x x m− − =
()*"#+1"-+$$&23+"(4*

m
≥ −

m

 5 5
*/ !"#$%&"
( )

 
0
A

x x = −

 
@

x x+ =

 
@
A

x x = −
-
·
ABC
"6$ B"#$%C"D-$
·
'
'ABC =
AE("#F"
'
'
G'
'
'
'

 

G
R
π


0
R
π



R
π
'/R67 B"#$%C""#N$$*#K(2()(N"G(

 cm
π

  cm
π

  cm
π

0  cm
π
''$O#K("6$ B"#$%C"DAS&K$-*A
DTDTDTD 

*VK(W"+*X$WH*09QA
-YZX$W)A
(S&*(9$6(*%*-A
345(:(2đ)  !"#$%&"
 
    'x m x m+ − + − =
A
*S&#K$%W(4* !"#$%&"()"#+U

TA
-["#+$O(Y\]$$&"#+U

A
345):(2,5đ)$O#K("6$ B"#$%C"A^*(N"7+"(_$"*
$N/A
*O"#"$*#K(//X"#7N"#A
-O"#"+$O(/A/T/A/A
RKK"
   0 > G @ Q ? '  
           
Trưng THPT Thnh An

6"
!78 9:;(//.<(//"
 =558>4?45"/@AB

`TRẮC NGHIỆM :(3đ)
TaUT

>


 

 
 

A
@
9


 

 
 
/ !"#$%&""*1(_((_" !"#$%&"-(*6$<"U=
A

U,>T' AU,


x
T'
AU

U,T' A

,U

>U

' > 0
x y
x y
= +


= − +

 A
 Q
' > 0
x y
x y
= −


= + −

 A
 Q
' > 0
x y
x y
= +


= − +

A
 Q

'

Q$*#K(g*j" h$$%b"(N"AR23+""
23+"$O#K(g"6$ h(
 A
·
·
Q'ACB BMN+ =
'
 A
·
·
MBN MCN=
 A;*-2k"# A;*-2*
?("#() "#0G
'
$%b" B"#$%C"D B"#3M"H*3]7(_$
$$"(4* B"#$%C"$NJ`ASM"
·
AIB
 A0
'
 AG'
'
 A>G
'
 A@
'

' B"#$%C"D"#N$&":"#()7+"$M(G(


l7+"$M(&"(j$m"##80j"$&$b$M(&"(j$m"##8
AGj" AQj" A0j" A
 
j"
``!$012
i;(K( !"#$%&"*
 *U
0
>U

,0T''@>
 -U

UU

,UT''@>

i/X$WTU

X$WTU,
 *YZ/$%b"(["#6$n$o"#$c*6A'@>
 -S&#*b(4*/'>
g6$"# BUpN$q$f""$f"(K("*>'3AE*)#B'k$
6$"# BUpK(r"#$q""$% F("# BUpN#BASM""$(
eUp-$%."#"$(UpKF"!""$(UpNQ3A>
0&":"#s$6((N"At*3I B"#$o"#:"#
#)(Fs B"#$o"#"(_$(K( B"#$o"#s$p$O$dJ^lA
*O"#"%."#$O#K(^$O#K("6$A
 -SM"

 0
9 x x= ± = ±
,
l$""#+(4*/S,

-U

U\U

,UT''@>
R * h(2/S
U

UT',,
i;k"#/S h(
 
9 x x= − =
,

*YZk"#X$W*/,,
-y h(/S"6#*
U

T\U,
i;k"#/S h(
 

9

x x= − =

·
?'BCD =
'
,,


^(["#$6( B"#$%C" B"#3M"
^*^$O#K("6$ ,,
-
·
·
0>DHC DBC= =
'
 ,

·
0>CHK =
'
&
·
'
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 ,
(
KHC

}
KDB∆
## ,



TaUT


>
x
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>
a'T'9a>T>9a

>T>
^X"#-"3U~'"#W(-"3U5' aUT'$&UT'
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9

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G$UT

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,U

>T'AY"#+(C"N


> ? 

? >
@S%b" B"#$%C"$1D"#)(J$1DT0'

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:"#$O($M"67 B"#$%C"

R
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

R
π


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π
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

R
π


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JgA *O"#"$O#K(s"6$$%"# B"#$%C" 
-O"#"%."#`
×
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!
#IJ;5Ke(1k"#'>
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TU,>
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TU,'>
U



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×
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-YFT$& !"#$%&"$%J$"U



U,T'
&*,-,(T'"b"U

T9U

T
c
a

·
·
'
Q'EBD ECD+ =
)$O#K(s"6$ B"#$%C" '>
-V]$
BIE∆

DIE∆
$*()
·
·
EBC EDC=
#)("6$(["#(_"("#s '>
·
·
BIE DIC=
f" '>
E%*
BIE∆
X"#7N"#F
DIC

##
)
BI IE
DI IC
=

E%*`

A


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(R"*1$6(X$WT

0
U

Ag9 3A090 A/9 OAt090
)/ !"#$%&""*1 !"#$%&"-(*6$<"
A

>
  'x
x
+ − =
3A

>  x x x+ = −
  AU

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0
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T
c
a
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>U0T'
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R
π
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( Yêu cầu vẽ hình trước khi chứng minh)
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A

2
+ x + 1 =0
2/ Nghiệm của hệ phương trình
@  
 G
x y
x y
− =


+ =

A. (x; y) = (3; 1) B. (x; y) = (0; 6) C. (x; y) = (1; 3) D. (x; y) = (1; -3)
3/ Giá trò của a và b để hệ phương trình

  G
ax by
ax by
+ =


− =

có nghiệm là (3; 2) là:
A. a = 2; b =3 B. a = 3; b = -2 C. a = 3; b = 3 D. a = 3; b = -3
4/ Cho hàm số y = 0,1x
2
, điểm "* đây thuộc đồ thò của hàm số
A. (1; 1) B. (3; 0,9) C. (3; 0,09) D. (1; -1)
5/ Phương trình ax

1
= 1; x
2
=
c
a
6/ Phương trình ax
2
+ bx + c = 0 (a

0) có biệt thức

bằng :
A. b
2
- ac B. b
2
– 4ac C. b’
2
- 4ac D. b’ – ac
7/ Từ 1 giờ đến 3 giờ, kim giờ quay được một góc ở tâm bằng bao nhiêu độ?
A. 180
0
B. 90
0
C. 60
0
D. 120
0
8/ Tứ giác ABCD nội tiếp được đường tròn (O) khi  = 60

π
=
C.
C R
π
=
D.

C R
π
=
10/ Cho đường tròn (O) và cung nhỏ AB có số đo bằng 70
0
thì góc t No bởi tia tiếp tuyến
Ax và dây cung AB có số đo bằng :
A. 35
0
B. 140
0
C. 20
0
D. 290
0

11/ Cho đường tròn (O)

có bán kính 3cm
·
AOB
= 60

y x=
và y = 2x - 2 trên cùng một mặt phẳng toạ độ. Tìm
toạ độ giao điểm của hai hàm số trên (2đ)
2/ Giải hệ phương trình :
0 G
  0
x y
x y
+ =


− = −

(1,5đ)
3/ Cho tam giác cân ABC có đáy BC và Â = 20
0
.Trên nửa mặt phẳng bờ AB không chứa
điểm C lấy điểm D sao cho DA = DB và
·
DAB
= 40
0
.Gọi E là giao điểm của AB và CD.
a/ Chứng minh rằng ACBD là tứ giác nội tiếp
b/ Tính
·
AED
(3,5đ).
QR!S 6CD(//.C(//"
  C !.

B.
  + >
C.
  + ≤
D.
  + =
*: Cho a < b hãy so sánh –3a và –3b :
A. –3a > –3b B. –3a < –3b C. –3a = –3b D. –3a

–3b
+: Bất phương trình 2x < 18 có tập nghiệm là :
A.
}
{
 ?x x <
B.
}
{
 ?x x >
C.
}
{
 Qx x <
D.
}
{
 Qx x >
,: Phương trình 3x – 12 = 0 có nghiệm là :
A. x =3 B. x = – 4 C. x = 4 D. x = 9
-: Tập nghiệm của phương trình 3x(x – 4) + 5(x – 4) = 0 là:

09

 −


 


.: Cho AB = 4 cm ; CD = 12 cm . Tỉ số
AB
CD
bằng :
A. 3 B.


C.



D. –3
": Cho
ABC

có DE // BC; AD = 2 cm; DB =3 cm; BC = 6,5 cm. Vậy độ dài DE là:
A. 13 cm B. 1,3 cm C. 26 cm D. 2,6 cm
'/:
ABC∆

DEF∆
với tỉ số đồng dạng là k = 2,khi AB = 6 cm thì DE có độ dài là:

A.


B. 4 C. 2 D.

0
II. PH $ N T 0  LU 2 N: (7 điểm)
345': Giải các phương trình sau :
a/ x –
>  @ 
G 0
x x+ −
=
(1 điểm) b/
  
  >
x x
x x
+ −
=
− +
(1 điểm)
345(: Giải các bất phương trình và biểu diễn tập nghiệm trên trục số :
a/ 2( 3x –1 ) – 2x < 2x +1 (1 điểm) b/ 2x +
0
>
>
?
>
(1 điểm)

?
OAUT

?
*S"#+(4* !"#$%&"UT>U,
AET‚0ƒ 3AET‚0ƒ AET‚Gƒ OAET‚Gƒ
+YF-**-((5'"*~-$&
A*(~-( 3A*(5-( A*(T-( OA*(

-(
,YF-**-((~'"*

-$&
A*(

-( 3A*(~-( A*(

-( OA*(5-(
-S"#+(4*-8$ !"#$%&">U5U'
A‚UU5>ƒ 3A‚UU5>ƒ A‚UU~>ƒ OA‚UU~>ƒ
.S"#+(4*-8$ !"#$%&"U~0U@
A‚UU~0ƒ 3A‚UU~0ƒ A‚UU50ƒ OA‚UU50ƒ
"TT>''(ASf(4**N"$o"#
A
AB
CD
T

>''
3A

( A/tT

0
( OA/tT0(
''

gg



ARo"#$O("*1sai
N
AM AN
AB AC
=
3A
AM AN
MB NC
=
A
AM MN
MB BC
=
OA
AN MN
AC BC
=
'(

X"#7N"#F

  > 
 
x x− +

345)(1,5 điểm)g6$"# BUpK$q"F"$('3k(2"# B8F
"$(0'3"b"$B#*"2M$!"$B#*"#BASM"H|"# B"#A
345*(3 điểm)

:"#$N B"#(*^A$T>(T>(
8SM"67A
?O"#"

^X"#7N"#F


;SM"67^^
AAAAAAAAAAAAAAAAAAAAAAAAAA^$AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
QR!S6CD(//.C(//"
  C !.
( Thi gian làm bài : 60 phút (không kể thi gian phát đề)
#!$%&(3 điểm) :;BIT>=5UAVB:
'YF-**-((5'"*~-$&
A*(

-( 3A*(~-( A*(5-( OA*(T-(
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A*(5-( 3A*(


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"TT>''(ASf(4**N"$o"#
A
AB
CD
T
>

3A
AB
CD
T

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A
AB
CD
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>
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MN
PQ
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MB NC
=
OA
AM MN
MB BC
=
'(

X"#7N"#F

s„ARo"#$O("*1đúng
N
AB DF
DE AC
=
3N
AB AC
DE DF
=
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AB BC
DE DF
=
ON
AB AC
DE EF
=
#!$012(7 điểm)
345'(1 điểm)i; !"#$%&"
80U>TU, ?

'$O("*1không phải!"$O(=
A0U 3AU A

 OAU,
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
A†

3AU

,

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 A

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-*$O(/UT

U
0




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A


3A



C A B> >
OA
µ
µ µ
C B A> >
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gT(AS*()67(4*gs
A( 3A0( A( OA(
''S%c"#$1(4*$*#K(#*(4*-* B"#
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'(R!"$O(X"#7N"#F!"$O(

x y−

AU 3A
 
x y−
A

xy−
OA

>x y

#!$012(7 điểm)
345'(2 điểm)E"#_"#n$(4*>c("$%"#6$c(3& h(#Kb"#N" 
-;"#*

*SM"$%"#-&"(6"#$&$(4*78+
-YZ-XN"$o"#

·
·
'
`„ ?'DIE D= =
($sT„T(s„T'(A^|$M"67 B"#$%"#$"`A
QR!S6CD(//.C(//"
  C !-
( Thi gian làm bài : 60 phút (không kể thi gian phát đề)
#!$%&(3 điểm) Chọn câu trả li đúng nhất:
'S%"#(K(*""#+(4**$O(U




A

 3A A OA
(*$O(/UT

U
0




A^+$d7(4**$O(/U
A


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*!"$O(
 >
x y z−
A((4*!"$O()
AQ 3A@ A? OA'
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x y−
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AU 3A

>x y
A

xy−
OA
 
x y−
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,

,†

,U





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E"#"#fU    0 >
Sj"" Q     T>
A(9(9>( 3A(90(9>(
A(9(9G( OA(9(90(
'/S%c"#$1(4*$*#K(#*(4*-* B"#
A1"#K( 3A$%"#$%d( A$%"#$" OA(*
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gT(AS*()67(4*gs
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'(
ABC

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ABC


A
µ µ
µ
A B C> >
3A
µ
µ µ
C B A> >
A
µ
µ µ
C A B> >
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A
YFUT9UT

""#+(4**$O(/UA
345*(3 điểm)$*#K((1"$NF B"#1"#K(`A
8O"#"
ABI ACI
∆ = ∆

?O"#"
·
·
'
?'AIB AIC= =

;$TT(T'(A^|$M"67(N"`
QYOZ[3\C<-
'N
`%&e(1k"#'>
   0 > G @ Q ? '  
           
``012@
*
X
T
 Q     0  > 
>
× + × + × + × + ×
T00Ag$(4*78+g
'

DEI DFI∆ = ∆
(A(A( 
-$*()
DEI DFI∆ = ∆
($E%*
·
·
DIE DIF=


·
DIE
,
·
`„D
TQ'
'
32-[)
·
·
DIE DIF=
T?'
'
'>

($*()`sT`„T

EF
T>
V]$$*#K(`s:"#$N``

-YZ-XN"$o"# 
 *g,TU

,

, '>
-g

T

U

  '>
 /UTU



0U,
/T'9/

T>
UT"#+(4**$O(/U  
0&"Zk"# '>
*V]$
ABI∆

ACI∆
()
 `(N"("#9T#$
· ·

BC
T>
V]$$*#K(`:"#$N``

T

`

T

>

T00
`T
00
T( 
QR!S6CD(//.C(//"
  C !,
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