ЗНО 2018. Сертифікаційна робота з математики

1. 1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
6.
7.
1–28 31 32
1

2. 2
1–28
1.
2a + 2
=
2
a + 2 2a + 1 a + 1 2a a
2.
o
50o
90o
100o
70o
3.
31 32 33 34 35
60o40o

3. 3
4. y = x
3 4 5 6
5. 4 x =
4 13 63 65
6. V
R
V R2
V R2
V R3
V =
2
3 R3
V =
4
3 R3
y
y = f(x)
x–4
1
1 60
R
R

4. 4
7. x =
16
1
2
1 1
2
1
2
1
16
8.
x + 1
y =
x
9. m n
m n
m n
m n

5. 5
a a + 2b a + b 2
4ab + b2
4ab b2
b2
2ab b2
b2
11. a b
CD a b
CK = 5 KD = 2 K
a
3 4
12.
19 20
22
21
20
17 23
25 30
2 3 4 5 6
D
K
C
b
a

6. 6
13. ctg cos =
cos2 0 cos2
sin2
14.
xy = 12,
x y =
x0 y0
x0 =
2 6
15.
52
36 2 2
60 2
72 2
96 2

7. 7
16. 345 + log3900 log3
1
4
4 3 27 log3445
17.
T =
18. x
+ 2x + 3
+ + +

8. 19. x = x x3
ƒ' x = 3x2
+ 1ƒ' x = 3x2
ƒ' x = 4x3
ƒ' x = 4x3
+ 1 ƒ' x = x5
x2
— + —
5 2
KLMN
ABFCD BFC
AB DC
AD = DC = 2
AD = KL =
d F LM
A
B
Fd
L M
C
K D N

9. 9
21.
1
2
3
4
1 y = x
2 y = 4
3 y = 2x + 4
4 y = x
y = 2x
y = x2
y = 3x
x0 =

10. 10
22.
a =
1
2
3
4
1 a0
2 a2
3
a
—
a
4 3
a
23.
2 3
1
2
3
4
1
2
3
4
4
5
12
13

11. 11
24.
1 o
2
3
4
6 o
12 2
16 2
2
12 3 2
3 2
1
2
3
4
120o
6
2
24
5
30o
6

12. 12
25.
h
h = b + r
b
r
1. b h = r = 10 =
2. b
r
r
бордюр
бордюр

13. 13
26. C = 90o
1.
2.
A
B
C

14. 14
27. 2
3
28. n
n

15. 15
29.

16. 16
AB
a A
y =

17. 17
31 32
31. x = x3
g x = 4 x
1.
2. g
3. g
4. g

18. 32. SABCD ABCD
SA
ASD
1. SABCD
2.
3.

19. 19
33.
loga x
0
x2
a x + 4 2a

20. 20
ctg
tg
cos
sin
0o
0
1
0
30
o
1
2
1
2
3
2
2
2
3
2
3
3
2
2
3
3
3
3
45
o
1
1
60
o
90o
1
0
0