() 2010-2011

6

1. : , , - .

2. : . .

3. : .

, 8 40 , 5 , , 45 , 50, .

4. : 8 27 .

., 35 . , , 35 , + , : + + 3 = 35 ;2 + 3 = 35 - 2; 4 = 32;

= 8.

8 ., 27 .

5. : 24

. ;

3=72; =24.

, 24.

7

1. 3n+2-2n+2+3n-2n=3n32-2n22+3n-2n=3n(32+1)-2n(22+1)=3n10-2n5=3n10-2(n-1)+15==3n10-2n-110=10(3n-2n-1).

10, 10.

, - n 3n+2-2n+2+3n-2n 10.2. 21 , 7. 217.

217:7=31

31 , 13. 312.

312:13=24.

, 24.

: 24.3. |x| = +2010.1) 0, |x| = x.

= +2010;

x- = 2010 |2;

2- = 4020;

= 4020.

2) 0, |x| = -x.

-x = +2010;

-x- = 2010 |2;

-2- = 4020;

-3 = 4020;

= -1340.

: 1 = 4020; 2 = -1340.

4. 32 .

5. 3 , 81 80 . 81 . :

1) , .

2) , 80 .

:

1 . 81 27 . 27 , , , .

2 . 27 9 . 9 , , , .

3 . 9 3 . 3 , , , .

4 . 3 1 . , , .

:

80 . 81 . 1-4 .

, 5 .

8

1. 3, , , .

.

3, 3, .

2. , . . (20-) , , .

, .

, :

;

;

;

20=160; =8.

() = 2 48 .: 2 48 . 3. D , =D . D=2, ==D.

=D==, D=2.

: CF. F - , F==. DF : =D, =F ( ). .

: , 300, 900 - 300 =600.

, : 600 ,

EMBED Equation.3 600,

EMBED Equation.3 1800-600=1200.: 600, 600, 1200, 1200.

D , (), =D . D=2, ==D.

=D==, D=2.

. DE - , D==, =D=,

=D-D=2-=. , ===.

, : 600 ,

EMBED Equation.3 600,

EMBED Equation.3 1800-600=1200.: 600, 600, 1200, 1200.

4. ;

:

;

EMBED Equation.3

. .

5.

- (900), .

.

1800, . . , , =, .

9

1. : 95.

x,

.

. , , .

2. : 42, 24, 18.

1 2 ,

:

k1 = 2+40 = 42, k2 = 4+20 = 24, k3 = 8+10 = 18.42, 24, 18.

3. : , , .

.

4. : . .

5. .

, , , , . , , .

, , .

10

1. : .

: ,

y2+3y=9-6y+y2;

9y=9;

y=1

-2 ( . (-1)

;

D< 0

: .2. .

3. . , . , , , .4. : , 1 , 1 , 2, 2 , ;

12 21 , .

. 1) (), . . , 1 , = 21 = 60, 212) (), , , 1, .

, (,)

5. : 5, 41, 53.

.

, :

1) , . , 1, 2, 3. , , .

2) , . : . , . , .

11

1. : = 1.

;

-2 2 = t;

;

;

16t=16;

t=1.

-2 2 =1;

2 +2 +1 = 0;

(x+1)2=0;

x = 1.

4=4.

: .

2. : 3,5.

:

22 + 3 14 = 0

22 + 3 14 = 0,

D = 9+814=121

x1 = -3,5

x2 = 2

x1 = -3,5 ,

EMBED Equation.3

EMBED Equation.3 x2 = 2,

: 3,5.3. : 3, 6, 9.

.

9, 9.

:

1) , 9x = 9k2(3k-1)9x = 27k3-9k2

, , .

2) 3, , .4. : 1. , , . . , . , .

5. : .

A

A

P

M

L

C

D

E

Q

B

E

D

F

B

C

A

E

D

B

C

C

A

B

M

K

0

x

y

-2

1

y

x

0

1

2

3

1

2

A

C

C1

B

B1

B2

C2

O

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