ĐỀ THI THỬ CAO ĐẲNG - ĐAI HỌC 2011 :TRƯỜNG THPT CHUYÊN QUỐC HỌC HUẾ MÔN TOÁN KHỐI A pps

.,raANQDlI!G
:(70N.)
gu:
(2
o4fl.)
V6i
m&
.A
Ihyc
_ ,.
(c.)
• .,&

.6
I)
KII60
MlI\I bih.1hi&I
vi
ve
d6
dIIlnJIII
tn~
II

•
!


1)
TIm
ck

!Iii lit
cUa
/II
~
da

ck
diI:m
"""
lit •
(e.)
0,11:
(l,O dJm)
I)
TIm
ga
trj
1611
nIJt
v'
,ii
lit
nh6
nbAt
cUa
ftx) - sinx +cou+t8DX+OCIIls
{
2"
+
2''''

~
16
IJGWhtphllODgtrinh'
2''''.2''-16
(x,yeR).
(i.
I!I;
(},Ot1lim)
.
" ,
I) Tlnh .
1=
J,!I-Sin
xdr
o ,
2)
Cho
a,b,c
Ii
clc
sA
!bile ruy y
1611
han
I .
Chimg
minh
rang:
Jog. be +
log.

co + loge ab 2 4(J08dt C +
10
a + loS", h) .
nll
IV;
(1,0
t1iem)
.
COO
hiM
ch6~
tir
gi~
S.ABCD c6 day Ii', hinh
,bin!J1"
AB.CD v6i !fun 0 ,
G9i
p,
q,
u, v Ian
hr\7!
I.
cae
khoang cach
tu
°
den
.m~1
ph3ng
(SAB).

(SBC).
(SCD).
(SDA).
ChUng
minh
rAng
n~u
mp(SAC) vuOng g6e v6i
m~1
pt!l1g
(SaD)
\hi:
_I
+_1
=_1
+_1
,-
p~
uJ
ql
v2
n.
PHAN R1ENG (3,0
t1
ii
m)
Th
i s
inh
chi

dwc
chon
:::91
Irong
bai
pb'n:
A
botc
B.
PhA"
A.
nll
Va: (2,0 lliim)
1)
Irong
m~t
piling loa
dO;;
Ox.Y.cho
duemg
tron
(T):
x'
~
-8x +12 =0
va
diSm
K(4;1).Tim
lOa
dO;;

diSm
M
iJ
treD
lr\Ie
~
sao eho
tir
M
ke
dUQe
hai
ti~p
luyt1n
ME,
MF
viJi (T)
va
duemg
Ihing
qua
cae
liSp diSm
E,
F chira dit\m K.
2) Trong khang gian tQ' dl) Oxyz, cho cae
dit1m
A(2;O;O)
.D(O;-3;6).Vit11
phuong

trInh
m~t
phAng
(P)
ehim
dUOng
thAng
AD
va
cat
cae
!r\Ie
y'y
va
z'z
IAn
IU\7!
t~
B
vii
C sao
eho
!btl
lieh
I"
di~n
OABC
bing
3.
Ci.

VI.;
(I,D iMm)
ChimgminhrAngnt1ueacsAphire z
,,',
th6a
Iz,+z,I=lz,lF2
thIlz,-z,I=lz,IF2.
Phd"
B.
Cill
Vb: (2,0 diim)
I)
Trong mat piling
lQa
dii
OXY.
I~p
phl10ng
lnnh
eila conic (H) e6 tam
sai
birngF2
, tieu di.im
101
F(I ;
I)
va
duiJng
cbuAn
l!.

c6
phl1<Jng
trinh x +
y·1
= 0 ,Tim
tam
d3i xling eila (H).
2) Trongkhong gian
lQadQ
Oxyz. cho hai
dUOng
<hAng
(a): x - I =
y-3
=
!
(b):
x-s
~
y
~~
va
2 - 3 2 6 4 -s
mal
phAng
(P): x ·2y+2z ·1=0. Xet diem M
thuQe
(a), di€m N
thuQc
(b) sao cho MN

song song
viJi (P)
vA
kboAng
cach
giQa
MN
Va
(P)
bang
2.
Tim toa
de>
cae diem M va
N.
Call Vlb; (1.0 diim)
ChUng minh
ring
v6i
mQi
sa
phfrc Z
••
Z2
luan
c6
Iz
I'
+Iz
I'

+1:1
~
+/;12
-/z
+ /'
/-
' I J
."
"':1
- J
%2
+ ". - Z1 •
L-___
U'~.

_____