De thi dai hoc nam 2016 lan 2 mon Toan cua Nhat Ban (de 2)

2

1

x

2
y D ax 2 C bx C c
8

xD1

x

16
a b c

A

yDa x

Á2

x
D

aD

BC

C

2

;0

Á

E

;0

FG
bD

H

cD

1

IJ

Á

2

2


2

0

9

1

3

10

2

3
3

2

K

6

2

LM
NO

8

PQ

1

3
2

R

6

S

trial

2


a1 a2 a3
a1 D 1 a2 D 10
.an /2 an

D .an

2

2
1/

.n D 3; 4;

/

lim an

n!1

A
bn D log10 an
A

bn

bn

1

b1 D

.n D 1; 2;

bn C bn

2

D

bn

1

D

bn

!n

1

D

log10 an C log10 an

b2 D

B

D

log10 an

B

bn

1
C

.b2

1

.bn

1

bn

2/

.n D 3; 4;

b1 / .n D 2; 3;

/

F

bn D

bn D

1

/

D

C

E

2

n
X

!k

1

G

C

kD2

1

H

C

lim an D

n!1

common logarithm

3

JKL

!n

I

/


x2 C

2
3

p
3x C 1 D 0

˛ ˇ

2

0 < arg ˛ < arg ˇ < 2

z
8
˛ z
ˆ
arg
D
ˆ
ˆ

ˇ
z
2
<
.1 C x/z C .1 i/z C k D 0
ˆ
ˆ
ˆ
:
< arg z <
2

k
˛ ˇ z

A B P

˛ ˇ
A

arg ˛ D

E
E

B

G
D

0

9

q

P

2

C

arg ˇ D

D

F

H
I

G
K

J

P

L

z

n

ki

M

n

k

P

N

C

<

Q

q

O


q

P

C

q

Q

0

0

1

1

2

2

3

3

4

4

5

5

6

6

7

†PAB

8

†PBA

9

†APB

complex number
complex plane
argument
imaginary axis

4


1

x
2 log 1 x

Á2

2

<0
C 9 log 1 x C 9 D
2

f .x/ D .log3 x/ log3

xÁ
xÁ
log3
3
9

x
A

log3 x D t

q

B

<
D

CD

t
E

<
D

F

t

G

g.t /
g 0 .x/ D
f .x/

xD

H

t2

KL

I

tC

M

derivative

5

J


2

a>0

yD

x
V

p

xe

x

x

A. a ; 0 /

y

xDa

V

1
a

V D

4

n

N

aC

Á

O

x

A

P a

e

t

4t

V
dV
D
dt

R

S

t

q

e

T t

U

V

tD

4

V
0

V D

8

B
@

1

X

W

6

e

Y

o

Q

Z

C
A

t