, . , , .
, .
1
1. , m 0 k D b b 0 bk D b.
: a 0 =10, ak =20,D a = 5; b 0 =12, bk =16, D b = 2.
2. ε. n 1.
2
1. , 0 k D b b 0 bk D b.
: a 0 = 4, ak = 10,D a = 2; b 0 = 20, bk = 30,D b = 5.
2. . 0,8.
3
1. , b 0 k D b b 0 bk D b.
: a 0 =p/2, ak = p,D a = p/4; b 0=1, bk = 2,D b = 0,5.
2. . n 1.
4
1. , 0 k D h h 0 hk D h.
: a 0 = 1, ak = 5,D a = 1; h 0= 10, hk = 14,D h = 2.
2. . 2.
5
1. , h 0 hk D h p 0 pk D p.
: h 0 = 100, hk =150,D h = 25; = 200, = 300, = 50.
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2. . n 1.
6
1. , h h 0 hk D h p 0 pk D p.
: h 0 = 15, hk =25,D h = 5; p 0 =20, pk =32,D p = 4
2. . 2.
7
1. , p 1 p 10 p 1 k D p 1 p 2 p 20 p 2 k D p 2. .
: p 10 = 2,4, p 1 k = 3,6,D p 1=0,4; p 20 = 7,8, p 2 k = 8,2,D p 2 = 0,2.
2. . n 1.
8
1. , h h 0 hk D h r r 0 rk D r.
: h 0 = 50, hk = 200,D h = 50; r 0 = 75, rk = 150,D r = 25.
2. . 0,1.
9
1. , r r 0 rk D r l 0 lk D l. .
: r 0 =15, rk = 25,D r = 5; l 0 = 12, lk = 16,D l = 2.
2. . n 1.
10
1. , l l 0 lk D l R 0 Rk D R. .
: l 0 = 8,2, lk = 7,4,D l = 0,4; R 0 = 10, Rk = 40,D R = 10.
2. . 0,5.
11
1. , d 0 dk D d D 0 Dk D D.
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: d 0 = 16, dk = 20,D d = 2; D 0 = 30, Dk = 40,D D = 5.
2. . n 1.
12
1. , h 0 hk D h R 0 Rk D R.
: h 0 = 50, hk = 100,D h = 10; R 0=60, Rk =70,D R = 5.
2. . 0,6.
13
1. , h 0 hk D h r 0 rk D r.
: h 0 = 10, hk = 18,D h = 4; r 0 = 12, rk =16,D r = 2.
2. . n 1.
14
1. , r 10 r 1 k D r 1 r 20 r 2 k D r 2. .
: r 10 = 5, r 1 k = 10,D r 1 = 2,5; r 20 = 20, r 2 k = 32,D r 2 = 4.
2. . 1,2.
15
1. , h 0 hk D h R 0 Rk D R. .
: h 0 = 15, hk =30,D h = 5; R 0 = 15, Rk =20,D R = 1.
2. . n 1.
16
1. , x 1 x 10 x 1 k D x 1 x 2 x 20 x 2 k D x 2. y 1 y 2 .
: x 10 = 0,5, x 1 k = 1,0,D x 1 = 0,25; x 20 = 5,5, x 2 k = 10,5,D x 2 = 2,5.
2. . 1.
17
1. , , y 1 y 10 y 1 k D y 1 y 2 y 20 y 2 k D y 2. x 1 x 2 .
: y 10 = 4,2, y 1 k = 7,8,D y 1 = 1,2; y 20= 5, y 2 k = 8,D y 2 = 1.
2. . n 1.
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18
1. , , m: n, x 1 x 10 x 1 k D x 1 y 2 y 20 y 2 k D y 2. y 1, x 2 m, n .
: x 10 = 0,75, x 1 k = 2,2,D x 1 = 0,15; y 20 = 6, y 2 k = 10,D y 2 = 1.
2. . 0,6.
19
1. , , , 1 10 1 k D A 1 B 2 B 20 B 2 k D B 2. 1 2 .
: 10 = 17, 1 k = 21,D A 1 = 2; B 20 = 0, B 2 k = 10,D B 2 = 5.
2. . n 1.
20
1. , a 0 ak D a b 0 bk D b. .
: a 0 = 35, ak = 45,D a = 5; b 0 = 20, bk = 30,D b = 2,5.
2. . 2.
21
1. , b b b 0 bk D b 0 k D . .
: b 0 = 10, bk = 22,D b = 4; c 0 = 20, ck = 50,D c = 10.
2. . n 1.
22
1. , h h 0 hk D h R R 0 Rk D R. .
: h 0 = 13, hk = 18,D h = 2,5; R 0 = 20, Rk = 30,D R = 5.
2. . 2,5.
23
1. , a 0 ak D a b b 0 bk D b.
: a 0 = 0,2, ak = 2,D a = 0,2; b 0 = 12, bk = 20,D b = 4.
2. . n 1.
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24
1. , a a0 a k Da d 1 d 10 d 1 k D d 1. d 2 .
: a0 = 20,a k = 60,Da = 10; d 10 = 10, d 1 k = 20,D d 1 = 2,5.
2. . 1.
25
1. , R R 0 Rk D R , , n 0 nk D n.
: R 0 = , Rk = ,D R = ; n 0= 30, nk = 90,D n = 30.
2. . n 1.
26
1. , 0 k D a , a0 a k Da.
: 0 = 15, k = 25,D = 5;a0= 12,a k = 36,Da = 12.
2. . 0,3.
27
1. , 0 k D h h 0 hk D h. a, b, d, e .
: 0 = 100, k = 150,D = 50; h 0 = 75, hk = 125, D h = 25.
2. . n 1.
28
1. , R R 0 Rk D R l l 0 lk D l.
: R 0= 3, Rk = 4,D R = 0,5; l 0 = 5, lk = 6,D l = 0,25.
2. . 1,1.
29
1. , k , , V V 0 Vk D V d d 0 dk D d.
: V 0 = 60, Vk = 100,D V = 20; d 0 = 1980 , dk = 1983 , Dd = 1.
2. . n 1.
30
1. , g a 0 ak D a b b 0 bk D b.
: a 0 = 10, ak = 30,D a = 10; b 0 = p, bk = 2p,D b = p/4.
2. . 0,3.
,
1.
2. a b , , S , P ; .
3.
4. a b , h , S .
5. h , P , S , V , .
6. a , h , P , S , V , S .
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7. , h , 1 2 , S 1 S 2 , V , S .
8. h , r , V , S .
9. h , r , l , V , S .
10. h , l , r R , V , S .
11. h , d D , S , H .
12. h , R , S , V .
13. h , r , S , V .
14. h , R , r 1 r 2 , S , V .
15. h , R , r , S , V .
16. d , (x 1, y 1) (x 2, y 2) .
17. (x, y) , (x 1, y 1) (x 2, y 2) .
18. (x, y), m: n, , (x 1, y 1) (x 2, y 2) .
19. :
, .
20. h , a b , S , l .
21.
22. h , R r , S .
23. , b , S .
24. d 1 d 2 , a , S .
25. R , n , S .
26. , a , S .
27. a, b, c, d, e , h , S .
28. R , l , n .
29. V , d , k , , .
30.