Đáp Án môn toán TP.HCM 2013-2014

 
  !"#$%#&
%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%
ĐP N '() *+TON
Câu 1+Gii PT v H phương trnh.
,- .
#
%/.012
∆
23
#
%&,"24⇒
∆
25"6 ,*(7 *89 :(3*8).

2$;.
#
2#
3- .
#
%#.%2+
∆
<23<
#
%,"2=%-
#
%=%-2#⇒
> #∆ =
"6 ,*(7 *89 :(3*8)
5#
 #x = ±


"- .
&
0$.
#
%&2=-
?).
#
2)=)
≥
-5@ABC,.
&
2)
#
 ,B)5)
#
DEF=-),"6+
)
#
0$)
#
%&2
,030"20$0=%&-2⇒)

25)
#
2%&=GFH*-
)

2⇒.

#
2⇒.2
±

I-
# $ & # 1 / / 
#  #  #  
x y x y x x
x y x y x y y
− = − = = =
   
⇔ ⇔ ⇔
   
+ = − + = − + = − = −
   

Câu 2: (1.5đ):
,-JKL) M+
. %# %   #
B2.
#
&    &
3-N)FHKO7*,FK*P+
QR) FE( KO7*,FK*P=-DE=I-+
.
#
2%.0#⇔.
#
0.%#2⇔


#
x
x
=


= −

⋅ .2⇒B25FHKOK*P) S( T)=;-
⋅ .2%#⇒B2&5FHKOK*P) S( T)=;-
Câu 3+
$ $ $ $ U $ 
U U
$ $ = $-= $- $
x x x x x x
A
x x
x x x x x
 
+ − + + +
= + × = × =
 ÷
 ÷
+ +
+ − + − −
 

.  #
B2%.0# # 
#

# #
#
& # $ 1 # / & # $ 1 # /
# 1 / /
# #
$  /  $  / 
# 1 / /
# #
$ /
/ / / /=& /- / /
#
B
   
+ + − − + +
 ÷  ÷
= − −
 ÷  ÷
   
   
+ + − − + +
= − −
 ÷  ÷
 ÷  ÷
   
 
+
= − = + − =
 ÷
 ÷
 

60

Câu 4+" F+V.
#
%V.0
#
02=W-
,- "6(7 *8.2X#(Y(+V
# #
 
V    
& #
m m m− + + = ⇔ = ⇔ = ±
ZBD[*
m
= ±
) N=W-"6
(7 *8.2X#
3-
>∆ =
3<
#
%,"21%V=
#
0-2V%V
#
2V=%
#
-
P=W-"6 ,*(7 *8) N

>∆ =
V=%
#
-≥⇔%≤≤
,*(7 *8) F\](+.

&
%.
#
&
2.

$
%.
#
$
⇔=.

%.
#
-=.

0.
#-=
.

#
0.
#
#

-2=.

%.
#
-=.

#
0.
#
#
0.

.
#
-
⇔=.

%.
#
-=.

0.
#
-^=.

0.
#
-
#
%#.


.
#
-_2=.

%.
#
-^=.

0
#
%.

.
#
-_=WW-
TH1+`A=W-"6(7 *8aR9(7 *8.

2.
#
@ABC,+.

%.
#
2(Y(=WW-) F\](a *K6
>∆ =
V=%

#
-2⇔

m = ±

TH2+`A=W-"6 ,*(7 *899 :(3*8)+=WW-⇔=.

0.
#
-^=.

0.
#
-
#
%#.

.
#
-_2=.

0
#
%.

.
#
=WWW-
 bF 8) S"*%c)),"6+
 #
#
 #




V
x x
m
x x
+ =



+
=



 ,BDEF=WWW-),"6+%#
#

V
m +
2%
#

V
m +
⇔
#

V
m +

2'(7 *8
ZBD[*
m = ±
) N=W-"6 ,*(7 *8) F\.

&
%.
#
&
2.

$
%.
#
$

Câu 5:
a)
·
·
MBC BAC=
=d(7" e(
»
BC
-
·
·
MIC BAC=
=Kf(7DM-
⇒

·
·
MBC MIC=
⇒,*Kg( h5( N(KFH(Ii[*O)76"a '(7Kj*
⇒hGE)S7*k"(O*)*`9
b) QR)∆lDE∆lh),"6+
·
·
IFC BAC=
=KK-
·
·
ICF FMB=
="d(7" e("A(7
º
BI
-
⇒∆l∆lh=77-
⇒
FI FC
FB FM
=
⇒ll2llh=-
QR)∆lhDE∆lc),"6+
·
·
DFB CFE=
=KK-
·
·

DBF CEF=
="d(7" e("A(7
»
DC
-
⇒∆lh∆lc=77-
⇒
FD FB
FC FE
=
⇒llh2llc=#-
m=-DE=#-@ABC,+ll2llc
c) QR)∆lnDE∆lh),"6+
·
·
QFC TFB=
=KK-
·
·
FBT FQC=
="d(7" e("A(7
»
DC
-
⇒∆ln∆lh=77-
⇒
FQ FC
FB FT
=
⇒lnl2llh5Ell2llh=")-⇒lnl2ll⇒

FQ FI
FM FT
=
QR)∆lnDE∆l),"6+
FQ FI
FM FT
=
E
·
·
IFQ TFM=
=KK-
⇒∆ln∆l="7"-
⇒
·
·
FIQ FTM=
= ,*76")io(7S(7-
E
·
FIQ =
U

⇒
·
FTM
2U


,GH*"6

·
FTP
2U

⇒
· ·
·
PTM FTM FTP= +
2U

0U

2V

⇒
·
PTM
GE76"3p),B3,K*Pl55 q(7 E(7
"- !* GEa F\(7"k" )mK`(h

#
IBC
S BC h
∆
= × ×
5E) AO"
»
BC
"r,Kis(7)CL(Kis(7at( 
5h"uKM( P

IBC
S
∆
G[(( T)) N G[(( T)E G[(( T)a *
≡
a *K6vGEKis(7at( 
"r,=-5 ,BvKu*.S(7D[*wA,ZBa *vKu*.S(7D[*wA,) N
IBC
S
∆
G[(( T)
hE*7*\*" i,aM9K!"GH*(`A"67N@o@AT)F(7Kix"769y
AI*( IA"z7,*G"F