Mục lục
ĐỀ 1. TỈNH BÀ RỊA – VŨNG TÀU
!"#$%#
&'()*+%$,-+%$.
/01
23$1456%738'9
! "
#
+ =
+ =
$! %&$'()*
+ #!
&'( &)(+ =
*! %f[%
[_>[7_
+[b
<[%
!>
2!GgWh5I5i5*V(*B _1*a[^W[%>d*8A7AT*(_/ &
*&T*_g>_h8aA5=->
23.14%6.738'9
%& /02WU #>,AU-*B $'()*6
# j
#
+ −
+
;
<"!=>
23$1
$:3?3@(ABCDEFGC(H2(I@(ABCDEFGC(
!
, *D <$*<1*D "e$"
+ !
#
+ !
#
#
+ !
+ = =
− = =
$! do&8F &8'*+6!7+;!
J
− +
⇔+
<<
∆+<!
<>+<!j<
`'+6!7+;!*DF8'*(∆⇔j<⇔
j
?R7=
j
+6!7+;!*DF8'*(>
*! `'i*+6!&8F$H 5I(8F 51 *D
+!
⇔
⇔
<
+
⇔+!<+!
⇔
<
⇔
+ !
=
= −
?R8F(5E*8I(5*V*>23,1
! , *Db_b+!⇒Zb⊥_⇒
·
j
)*+ =
_
·
·
·
¼
+ !
')( ,-
() (') ./(
= =
⇒∆[_%
∽
∆[%+>!
>
) )(
)( ) )'
)( )'
⇒ = ⇒ =
+8*!
• , *D[b
[Z
<Zb
÷
_
+[b
<[%
!
2! \]_\⊥^%W8&a[Z∩+Z!lwmW[Z∩^%lJm
, *D
·
·
01 (1=
+)*_h%\!
·
·
(1 &2=
+*c*C**(_%!
·
·
&2 12=
+)*_\^g!
k(
·
·
01 12=
+!
%)N *x*D
·
# #
# # # #
≤ ⇔ − ≥ −
+ +
+!
,f+!7+!/( 6
# j
#
+ −
+
≥
#
#
−
⇔6
# j
#
+ −
+
≥
#
?R_6
#
O
# + !
# #
7
{?@8nA*B **/01*cF.:&a8F
{,&a8F &8'*B 8nA/0$HoT
235+8'!
{"
#
#
+ =
− =
{
}#}
#{
}
738'
23$1+8'! [
#
−
+ −
+
+ !>+ !
+ !
+ !>+ !
− −
+ −
+ −
+ !
+ !
−
+ −
+ − −
+ − +
−
,
3
7&W *D
?=•
?=
−
•
−
?R&a8F &8'*B 8nA5+3!7+
−
3
−
!
W8'
W8'
W8'
W8'
2351+8'!
{
+ =
=
ó
# #
#
+ =
=
ó
#
#
=
=
?R"*D"2(-+#3#!
{, *D
<}j+!
, *D }$*}+<!+<j!
6+!*D "e$"
<+5&a!3
j+R!
?=
j
j #
⇔ ⇔ = ±=
,R"*B +!*D "5
#3
<#
W8'
W8'
W8'
W8'
23,1+8'!
}+}!}+p!
{, *D~€•<+}!‚
}>+}!
+ = − = −
= −
, *D[
}
W8'
W8'
W8'
W8'
;-(LM O7*„O}#ó
#
?R7=
#
[8aAU-$H
W8'
23.1+#W8'!
J7@8E
{, *D
·
)(4
j
+!
·
)'4
j
+D*FV*C… 89
Y!
·
)(4
, *D,)*[%;FV+*)1!
·
('4
·
()4
+%c*C*(%;!
, *D
·
)&
j
+D*FV*C… 89Y!
·
&4
j
·
&4
·
&(4
j
j
·
&)
_
·
)&
j
+%)1!
~_[^7(z*ea_
#{do~[^_7~[;%*D
µ
[
D**(
·
)&
·
)(4
j
k(
)& )4(
∆ ∆
∽
)& )4
) )(
⇒ =
> >)& )( ) )4
=
=
Câu 2: (2 điểm)
%&
}+!
#+!>+5 /0!
! ,**A*B 8'+!*D "e$">
! ,**A*B 8'+!*D "e$"
W
† 4
>
Câu 3: ( 2 điểm)
! |EG$'()*
# #
# #
Câu 1: (1,5 điểm)
!
}#
$*+<#!
⇒
3
,
>
! J"
− = −
− =
*D"
#!<}
6+!*D"e$"
⇔
Š
∆
•
⇔
<}•
⇔
q<
?R7=q<+!*D"e$">
#! ?=q<>,s&")*?<s *D
+!3
#>
>
Câu 3: ( 2 điểm)
1) |EG$'()*
# # # #
# # + # ! + # !
)
+ − + −
= − = −
− + − +
# # # #
+ # ! + #!
# #
+ # ! + # !
+ − + −
− = − = + − −
− +
− +
+ # ! + #! + # #!+ # #! #+ − − = + + − + − + =
>
! 689:*I7V*D2a2€ $>
^J[*D
·
·
j&8 &:)= =
+!3
·
·
8& :&)=
+*(D*^!
⇒
∆
^6_
:
∆
^J[+>!
⇒
&8 &
&: &)
=
⇒
^6>^[^J>^_
3)
·
j): =
+!
k
%[_
k
[^%
⇔
[^>_6
[%>_‰
^%>[J
⇔
^%>_6
^%>_‰
^%>[J+7[^[%^%!
⇔
)
)
+ +
= + − + = − + + − +
+ +
− +
= − + + +
+
−
− =
+ = −
2! |EG$'()*6
−
−
23+1<=
%&
( ) ( )
# − − + − =
! %)+!5(z*D "e$"7=GA*B >
$! ,A*B 8'+!*D "80 (>
2351<
J 8F*ze*c5*(F*z7"*&/ (9WV(5
19 &*z7"**B 8F) T8F)-59>JUV(
519 8'r8F&*z7"*5$ &1(X
23,1><
%&89YeZ89OT[^W1*cF… 89Y+Z!5-8'
7b+s&)N[WWbW^!/ &*& b*C ^[a;>`9:7(zD*7=
^;a;*C^ba%W89:%[*C89Y+Z!a8') 5w>
! %))*;w^%FV>
$! %)^w^
− =
+ = −
# j #
− = = −
⇔ ⇔
+ = − =
2! 6
−
−
( )
( ) ( )
!
?R+!5(z*D "e$"7=GA*B >
$!6+!*D "80 (
( )
#
#
%
8
− =
= =
⇔ ⇔ ⇔ ⇔ =
< <
− <
?R7=+!*D "80 (>
2351<
G9 8FF5F&*z7"*5+9!>`\•>
, *D
·
[w j& =
+D**C… 89Y!
, *D
·
·
j(4& (3&= = ⇒
)*;w^%FV89Y89OT^%
$!%)^w^
, *D
·
j)*& =
+D**C… 89Y!
·
j)*(⇒ =
, *D
·
·
)*( )4(+ =
⇒
,)*[;%bFV89Y89OT[%
µ µ
> >
4? 4&
4? 4* 4) 4&
4) 4*
⇒ = ⇒ =
+!
∆
^b[
∽
∆
^;%+}!
> >
&* &)
&* &( &) &4
&4 &(
⇒ = ⇒ =
+!
,f+!7+!/(
> >
> >
4? 4* 4) 4& 4)
&* &( &) &4 &)
= =
+8*!
23.1<
, *D[
>>>>
# #
+ + + +
= > = + −
+ + +
;&8D^
>>>>
#
+ + +
( )
# # >>>>> # #&⇒ > − + − + − + − − +
( )
( )
# − + = − + =
+!
,f+!7+!/( ^•[
ĐỀ 5. TP. HỒ CHÍ MINH
#:e/
!L#$%#
&'()*1+%$,-+%$.
/01
23$14+738'9
**7"/ (
!
− + =
$!
+ − +
)
# # #
= + − +
÷ ÷
+ + +
&
+•!
23,14$6.738'9
%&
− − =
+!+5P/0!
!%)+!5(z*D"2-(
$!G
W
5**"*B +!
,TA*B $'()*
**7"/ (
!
− + =
>
#
∆ = − =
+ −
⇔ = = = =
$!
+ ! − + + =
6*D $*1*D"5
⇔ = = =
,
*!
j − + =
`.(
≥
=
23+1
!`nA
v(ˆ+6!8‡( Z+3!W
( ) ( )
3 W 3± ±
+;!8‡(
( ) ( )
3 W #3j−
$!6,&8F &8'*B +6!7+;!5
#= +
⇔
# − − =
#⇔ = − =
+ <$*!
+<!W+#!j
?R&a8F &8'*B +6!7+;!5
( ) ( )
3 W #3j−
2351,(G**$'()*/ (
+•!
# # + #!
+ !+ #!
# + #!
+ !>
−
= + +
÷ ÷
÷ ÷
+ + +
+ − + +
=
÷
÷
+ +
= + =
+
, *D
= +
7
= +
+2&
W
U !
;&8D
+ ! + !
6
+ + − + + −
+ +
= − = − =
+?
> ≠
!
fU.
!, *D)*^wJ;FV2&*DD*80
·
[% _[%=
2&_80)‡( [%
· ·
[% %J=
+2&[J%FV!
⇒
¶
¶
g[h gJh=
⇒
)*Jgh[FV>
⇒
¶
[hg
$c7=
·
[Jg
·
[%
$c7=
·
[Jg
+2&[J%FV!
⇒
¶
·
[hg [%=
·
[h‰
·
[\%
7
·
[\%
·
[_%
+*c*C*([%!W7R
·
[\%
·
[_%
·
[%
do *[‰h7[\%
, *[\%7(za%+7*C… 7YY!
⇒
*18n2a
?R
µ
‰ j=
>J [Z7(zD*7=gh
O*(+1\]1V(V[7=7YY+Z! *D
B
A
F
C
O
D
K
H
M
x
I
J
Q
N
! ,TA*B $'()*
j ) = −
|EG$'()*
8
−
= +
−
+
W7=•W
!,&9i*D "e$"
7
7=
q
W-
***A*B / &*&
− =
23.1><=
%& *[^%7(za[*D89* &[J+J(F*^%!>?@89Y+%!
*De%W$OT%[>`9:[J*C89Y+%!a8') 5;>
!%)^;5V(V*B 89Y+%!>
!,1*(U
»
)4
*B 89Y+%!5-8'b/ &*&Jb/&/&7=[^>
`9:^b*C89Y+%!a8') 5w>G\5(8'*B
bw>%)H
!^[
^b>^w7
·
·
&:* &3(=
$!^ 89:[wWb;7J\/&/&7= (f8zF>
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
+ = + = + = =
2351
!
! 6&8F &8'*B
789:5
⇔
}}+!
+!*D
′
∆ = +
`'+2
!7+6!*C (a 8'e$"
′
∆ > ⇔ + > ⇔ > −
•
−
•1(*I(*B $&87=
< −
− −
+ =
+5&a!
> −
> −
+ = +
( )
#
⇔
}
⇔
!
( )
( )
( )
′
∆ = − + = − + = − + + = − + > ∀
?R5(z*D "e$"7=G>
, *D
( )
W = + = − = = − ≤% 8
, *D
( )
# #− = ⇒ − + = ⇔ + − + =
( ) ( )
# j− = ⇔ − =
⇔ = − =
\< *D
7*DD*^*(
7
·
·
^[b ^w[=
+*c*C*([b!
/(
[^ ^b
[^ ^b>w^
w^ ^[
= ⇒ =
+!
,f+!7+! *D^J>^%^b>w^
,f^b>^w^J>^%
^b ^J
^% ^w
⇒ =
*^bJ7^%w8n2a7*DD*^*(7
^b ^J
^% ^w
=
·
·
^Jb ^w%⇒ =
$!2&OV‡(1 *D
·
·
^w[ ^[b=
·
·
b;J J;=
+2&[;{{[w!
k( JbJW1J5(8'*B b>k( J\589($*B *
b[w>
?RJ\{{[w>
?Rb;{{J\{{[w>
ĐỀ 7. TỈNH KHÁNH HOÀ
!L#$%#
h
Q/R+%$,-+%$.
:
/0140h9
{{
@
23$14+6%%738'9
!\z2cT*I WTA$'()*
)
−
= −
+ −
!|EG$'()*^
=
!?@8nA+6!>
$!,1+6!5-8'[*D&8F
[
<>,G 8F8'_1u*Z/ &*&_[}
_^8aA5=-W$VH^+3!>
23,14+6%%738'9
%&… 89Y+Z!89O[^|>?@89:25V(V*B +Z!a
^>
`‘,Jg%J’J,J“%