De thi dai hoc nam 2014 lan 1 mon Toan cua Nhat Ban (De 1)

1

1

y D ax 2 C bx C

2

xD3

y

xD1

y

3
a

2

(i) (ii)

2

a b

(i) (ii)

a b
8

ˆ
<

AB

bD

ˆ
:

C

Da C b C

a
D
a

2
E

a2 C

aD

F

HI
K

1

a

bD

G

J

D0


2

2
P D 2x 2

x C 2 Q D x2

E D P2

ED P

*1

L

Q

Á

M

PC

Q

N

Á

x
ED

xD

3P C 6Q

*1

E

E

4Q2

2x C 1

1

3

p
5
p
5

E

O

S

Á

P

x x

C

factorize

2

T

Q

q

U

x

R

Á


1

n

1

.20

n/

0 < n < 20
*2

1

x

1
2
x

C

pD

x

n

xD

AB

1

p

p

2

q

q

D

4
x
E

qD

p q

F

p
x

G

C

H

n

pJ

n

*2

x2

K

x<

1
L

M

trial

3

xC1>0

x

I


2

p

x y
p
7
C
Dp
x
y
p x y

N

x

x

xD

N

D

xD

S

O

py

Q

Á

D

R

T

P

Q

<

R

S

<

T

Á

U

<

W

Á

S
pD

pD

xD

Á

W

yD

U

yD

V

X

T
pD

Y

yD

4

Z

Á

x

2
y D ax 2 C bx C c

2

b c

1

1

2 2

a
A

bD

x

1

D

a

BC

a cD

<1
0
<

a

E
F

a C bc
GH
I

<
< a C bc D
D

5

a

J


ABC
AB D 7 BC D 8 CA D 6

*3

ABC

r

O
B C

2

D

C

A
O

B

D

cos †BAC D

rD

P

*3

FG

A
B
q

q
sin †BAC D
HI

JK

DP

circumscribed circle

6

BD D

CD
E

LM

NO

q
R

PQ