Đề thi thử đại học môn Toán số 3

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crAo
DUC
vA DAo
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THPT
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THTEx
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rr
xAru 2014
Mdn:
TOAxt
Kh6i
A, B,
Al
(Thoi
gian:
180
phft,
khdng
hO
ttroi gian

phft
aC;
r.
pnAN
cHUNG
cHo rAr
cA rni
srNH
12,0
ai6m)
p.ha
l1Z,O
Ai6m;
Cho hdm
s6
y
=
x3 +3x2
-
4 (l)
\/
a,Khho
s6t sg
bi6n thi6n
vd vE OO
ttri
(C)
cria ham
sO
(t)

y,(.
"no
z ai6m
,(!,r),*(:r).
vitit
phucrng
trinh
dudng
thing
I ciit
ao
ttri
(c)
tei hai
dii5m
p,
e
sao
cho tti
gi6c
MNPQ
la hinh
binh hdnh.
'
X
Ji
-+"in(r.*I)+2sin4x
Ciu2
(1,0
tli6m).

Giai
phucrng
trinh:
=2-4cos2x
/
""['-;j
^
.V"
^
f*t
+l2yz
+x+2=8y3
+8/
Cf,u
3.
(1,0
tli6m).
Giai
hQ
phucmg
trinh:
I
:-
e
LJtt
* 8y1 +2y
=5*
nfO"
4.
(l,|Ai6m;.

Tinh
tfch
ph6n:
t
="[ffia.
u/
c6u
5.
(1,
0 tli6m). Cho
hinh ch6p
s.ABCD.c6
d6y ABCD
la
hinh
thoi
canh
bang
a
(a>0),
AC
:
a.
Tam
gi6c
QAB
cQn
t4i
S vd nim
trong m4t

phing
vudng
g6c
v6i
mlt
ddy;
g6c
eitra
SC
v6i *at
pttittg
(AB!D)
bing
600. Ggi I ld
trung
ai6- cfla AB.
iiott
ttr-c ii.h
r,iu
nroi
.itop's.
i,ecn
vd khoang
cricf,
tL
Aiem t
ei5n m{t
phEng
(SBC)
theo

a.
Ciu
6
1f,O
AiOm;.
Cho c6c
s6 thgc duong
X,
y,
zthbamdn:
*' *
y'
+ z2
+ xy +
yz
+ zx
2.
Chimgminh
ring:
r'
*!,u
*
r"
*!,,
*
r'*
!!r
r-3
\x
+

y)'
(y
+
z)" (z
+
x)"
rf,
PHAN
nftNC
1f,O
AiOml. Thf
sinh chi tlugc
lim mQt
trong
hai phAn
(A
hoic
B).
t
,{, fheo
chrong
trinh
Chudn
Wq
Ta
(1,0
tli6m). Trong
m4t
phing
tga dQ

Oxy.
Cho tam
gi6c
ABC
vudng
t4i
A. Phucrng
trinh
ducmg
1.hi"g
BC
ld 4x
-3y
-
4
=
0; c6c
di6n
A,
B thuQc
tryc hodnh
vd
diQn
tich tam gi6c
ABC
biig
6. fim
tgi
i,/dOtrgng
tdm

G cta tam
gi6c
ABC.
V
Ceu
8a
(1,
0 tli6m).
.Trong
kh6ng
gian
vdi hQ
tga dQ
Oxyz,
cho hai
rli6m
A(1;1;t)
vd
B
(0;
2;2).Viet
ghucrng
trinh m{t
phing
(P)
di
qua
A, B
il6ng thdi
(P)

"6t
o*,
oy lAn
luqr
taitrai
Aicm
ph6n
ti-ci vt,
N
fM,
N khdng
trung
vdi
O) sao cho
OM:2ON.
t /
r
t
"
,
/
ly
\U/cau
9a
(1,0
tti6m). Tim
h9
s5 cria
sti
h4ng

chfa
x5trong
khai
triiSn
Niutcrn
t;-i|
,
uitit
raog
['i
+Clu+zc:
=
4,
neZ*
B.
Theo
chwong
trinh
Nfrng
coo
Cdu 7b
(1,
0 tli6m).
Trong
mat
phang
vdi hQ
tqa
d0 Oxy,
cho

hai
ducmg
trdn
(q)
:x2
+(y+t)z
=4
u6
(cr):(x-l)'+
f2
=2.
vii5t
phucrng
trinh
dulng
thdng A,
bii5t
A titip
xric
v6i
(Cr)
vd
A^
cgt
(Cz
tai
hai
tli€m
phdn
biet

AB sao
cho AB
:2.
Ciu
8b
(1,
0 tli6m).
Trong kh6ng
gian
v6i
hQ tga
dQ Oxyz,
cho hai
duOrng
thAng:
A,
,;
=
+
=
T
uU
. x-I v-(
A
'
r-
-J
t-=' Timili6mAt6nA1,Bt6nA2saochodudrngthAngABdiquadi€mM(1;9;0).
ll^
't 2-l

Ciu
9b
(1,0
tli6m). Tirc6c,cht
sO 1,2,?,4,5,6.Vi6t
ngSu
nhi€n
mQt
st5
Lu
nhiOn g6m
4 cht
s6
it6i mQt
khric
nhau. Tfnh
x6c suSt
dc vir5t
du-ry. c so
qr
ntricn
sa9
cho trong
mdi
si5 d6
ph6i
.o
-At
cht
s6 I

vd2.
.HET-
Hp
vd tAn
thf sinh