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() 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. : .
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0
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y
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