0
TRNGTHPTCHUYấNVNHPHC KTHIKHOSTCHTLNGLN2
NMHC20142015
CHNHTHC Mụn:Toỏn12KhiA -B
Thigianlmbi:180phỳt(Khụng kthigiangiao)
Cõu 1(2,0im).Chohms
3 2
3 2y x x = - +
( )
1
.
a) Khosỏtsbinthiờnvvth cahms
( )
1
b)Tỡmdim M thuc ngthn g
: 3 2d y x = -
saochotngkhongcỏcht Mtihai
imcctr th hms
( )
1 lnhnht.
Cõu 2(1,0im).Giiphngtrỡnh
( )
3
tan 2 cot 1 sin 4 sin 2cos sin
3 2 2
x x
x x x x
p
ổ ử
- = + +
ỗ ữ
ố ứ
Cõu 3(1,0im).Tớnhtớchphõn
2
2
3
2
0
6
ln
6
x
I x dx
x
-
=
+
ũ
Cõu 4(1,0im).Giiphngtrỡnh
3 3 1
3
log 2 log 5 log 8 0x x + + - + =
Cõu 5(1,0im)..Mthpcha
4
qucumu,5 qucumuxanhv7 qucumu
vng.Lyngunhiờncựnglỳcra 4 qucuthpú.Tớnhxỏcsutsaocho 4 qucu
clyracúỳngmtqucu muvkhụngquỏhaiqucumuvng.
Cõu 6 (1,0 im). Cho hỡnh lng tr ng .ABC A B C
  Â
cú ỏy ABC l tam giỏc u ,
( )
, 0AB a a = > .Bitgúcgiahaingthng
AB
Â
v BC
Â
bng
0
60 .Tớnhthtớchkhilng
tr .ABC A B C
  Â
vkhongcỏchgiahaingthng AB
Â
v BC
Â
theo a .
Cõu7(1,0im).Trongmtphngvihta Oxy chotamgiỏc
ABC
cúphngtrỡnh
ng thng cha trung tu yn v phõn giỏctrong nh B ln lt l
1
: 2 3 0d x y + - =
2
, : 2 0d x y + - =
.im
( )
21M
nmtrờnngthngchacnh AB ,ngtrũnngoi
tiptamgiỏc ABC cúbỏnkớnhbng
5 .Bitnh A cúhonhdng,hóyxỏcnhta
cỏcnh catamgiỏc ABC .
Cõu 8(1,0im).Giihphngtrỡnh.
( ) ( )
3 3 2 2
2
17 32 6 9 24
2 4 9 2 9 9 1
x y x y x y
y x x y x x y
ỡ
- + - = - -
ù
ớ
+ + + + - + = + +
ù
ợ
Cõu 9(1,0im).Chocỏcsthcdng , ,a b c thamón
3ab bc ca + + =
.Chngminhrng
( )( )( )
7 4 7 4 7 4
3 3 3 27a a b b c c - + - + - + .
Ht
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chớnhthc
(thigm01trang)