тренажер по матем
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10.
Ответы
Таблица №1.
|
1В. |
2В. |
3В. |
4в. |
1. |
3 |
3 |
5 |
19 |
2. |
4 |
4 |
1/3 |
1/5 |
3. |
-1/5 |
2 |
-2 |
3 |
4. |
2 |
-3 |
6 |
-12 |
5. |
9 |
27 |
2 |
36 |
6. |
2 |
4 |
2 |
3 |
7. |
2 |
1/9 |
2 |
4 |
8. |
9 |
2 |
4 |
-2 |
9. |
-2 |
9 |
21 |
8 |
10. |
35 |
3 |
9 |
15 |
11. |
17 |
4 |
2 |
9 |
12. |
4 |
1,5 |
3 |
9/12 |
13. |
2/3 |
8 |
2/3 |
4/3 |
14. |
3/2 |
3/2 |
5/3 |
2/3 |
Таблица №2
|
1В. |
2В. |
3В. |
4В. |
5В. |
1. |
5 |
4 |
0,6 |
0,25 |
9 |
2. |
9 |
1,5 |
4 |
1,8 |
1,5 |
3. |
8 |
11 |
16 |
16 |
13 |
4. |
4 |
1 |
25 |
25 |
1 |
5. |
2/3 |
4 |
7 |
81 |
9 |
6. |
5 |
2,5 |
27 |
49 |
4/3 |
7. |
8 |
9 |
9 |
5/3 |
36 |
8. |
1 |
4 |
2 |
17 |
1/9 |
9. |
2 |
1\27 |
1 |
64 |
1/8 |
10. |
1 |
25 |
125 |
5/9 |
36 |
Таблица №3
|
1В. |
2В. |
3В. |
4В. |
5В. |
1. |
9 |
1 |
1 |
1 |
1 |
2. |
1/16 |
2 |
1/25 |
1 |
3 |
3. |
1/3 |
1 |
9 |
3 |
1 |
4. |
4 |
4 |
7/8 |
4 |
5 |
5. |
7\3 |
7 |
1 |
2 |
4 |
6. |
8 |
0,4 |
11 |
1/3 |
0,4 |
7. |
1 |
9 |
3/2 |
25 |
49 |
8. |
5 |
5 |
36 |
5 |
9 |
9. |
1,5 |
2 |
9 |
2 |
3 |
10. |
125 |
2 |
1/27 |
1 |
7 |
Таблица №4
|
1В. |
2В. |
3В. |
4В. |
5В. |
1. |
3 |
-3 |
2 |
4 |
2 |
2. |
-3 |
-2 |
3 |
2 |
4 |
3. |
3 |
4 |
3 |
3 |
3 |
4. |
7 |
-4 |
-6 |
-1 |
2 |
5. |
2 |
2 |
-4 |
1 |
3 |
6. |
1 |
1 |
1 |
-9 |
1 |
7. |
0 |
3 |
1 |
0,5 |
1 |
8. |
1 |
-1 |
0 |
1 |
0,25 |
9. |
7 |
0 |
-2 |
0 |
-2 |
10. |
3 |
-3 |
3 |
-2 |
-2 |
11. |
-8 |
3 |
12 |
-2 |
4 |
12. |
8 |
1 |
2 |
4 |
1 |
13. |
1 |
3 |
3 |
3 |
2 |
14. |
2 |
2 |
2 |
1 |
1 |
15. |
0 |
9 |
2 |
1 |
2 |
Таблица №5
|
1В. |
2В. |
3В. |
4В. |
1. |
3 |
0 |
0 |
3 |
2. |
1 |
3 |
3 |
2 |
3. |
0 |
1,5 |
2 |
0 |
4. |
1,5 |
0 |
0 |
4,5 |
5.
|
0
|
5
|
-2
|
|
6. |
3 |
0 |
|
-1 |
7. |
3 |
|
1 |
4 |
8. |
1 |
3,5 |
2,5 |
1 |
9. |
|
60 |
12 |
3 |
10. |
15 |
1 |
15 |
13 |
11. |
3 |
1,5 |
1 |
1 |
. 12 |
1 |
1 |
4,5 |
54 |
|
1В. |
2В. |
3В. |
4В. |
1. |
(2; ∞) |
(-3; ∞) |
(4; ∞) |
[2; ∞) |
2 |
(-∞; -2) |
[3; ∞) |
(-∞;-3) |
(-∞; 3] |
3 |
[2;∞) |
(-∞;3) |
(-∞;-2] |
(-∞;-2] |
4 |
(-∞;-l) |
(-∞; 2] |
(-∞;-3) |
[l; ∞) |
5 |
(-∞; l] |
(-4;∞) |
(0;∞) |
[-0,5; ∞) |
6 |
[-0,5; ∞) |
(-∞;-2] |
[2,5; ∞) |
(-3;∞) |
7 |
[-0,5 ∞) |
(-∞;-l] |
(-∞;-3) |
(-∞;0) |
8 |
(l,5;∞) |
[3; ∞) |
(7;∞) |
(3;∞) |
9 |
(0,5;∞) |
(-∞; 6] |
(-∞;7) |
(9;∞) |
10 |
(-∞; 25] |
(-∞; 49] |
(-∞;1/36) |
(-∞;4) |
11 |
[4; ∞) |
[3; ∞) |
[12,5; ∞) |
(0,25;∞) |
Таблица №7
|
1В. |
2В. |
3В. |
4В. |
5В. |
1 |
√2/2 |
-1/2 |
-√3/2 |
√3 |
1 |
2 |
1/2 |
√3/2 |
1 |
0 |
1 |
3 |
-√3 |
1 |
-√3 |
-1/2 |
√3/3 |
4 |
3/2 |
-√3/3 |
-√3/2 |
-√2/2 |
3 |
5 |
√3 |
√3/2 |
-1/2 |
√3 |
√2/2 |
6 |
-√3/2 |
1 |
√3 |
√3/3 |
-√2/2 |
7 |
-1/2 |
-√3/2 |
√3/2 |
1/2 |
0 |
8 |
-√2/2 |
1/2 |
-√3/2 |
√2/2 |
1 |
9 |
1 |
-√3/2 |
-√3/2 |
√3/3 |
-√3 |
10 |
-√3/2 |
1 |
√3/2 |
1 |
0 |
11 |
√3 |
√3/3 |
√3/2 |
-√3 |
√3/2 |
12 |
-√3/2 |
-√3 |
0 |
0 |
-√3/2 |
13 |
0 |
-√2/2 |
1 |
1/2 |
-√3 |
14 |
1 |
-√3/2 |
-1/2 |
√2/2 |
√3 |
15 |
√3 |
1 |
√3/2 |
0 |
√3/2 |
16 |
-1/2 |
√3/3 |
1 |
-1 |
√3/3 |
Таблица №8
|
1В. |
2В |
3В |
4В. |
1 |
π/6 |
π/6 |
π/4 |
0 |
2 |
-π/2 |
π/6 |
π/4 |
π/3 |
3 |
π/4 |
-π/4 |
π/6 |
π/4 |
4 |
π/4 |
3π/4 |
π/4 |
π/3 |
5 |
π/4 |
π/6 |
π |
2π/3 |
6 |
5π/3 |
π/2 |
0 |
π/3 |
7 |
π/4 |
π/6 |
0 |
-π/2 |
8 |
-π/6 |
-π/2 |
0 |
5π/6 |
9 |
-π/6 |
2π/3 |
-π/4 |
0 |
10 |
0 |
0 |
-2π/3 |
0 |
11 |
0 |
π/4 |
π/3 |
-π/6 |
12 |
π/4 |
-π/4 |
-π/4 |
π/4 |
Таблица №9
|
1В. |
2В. |
3В |
4В |
1 |
||||
2 |
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3 |
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4 |
||||
5 |
||||
6 |
||||
7 |
||||
8 |
Ø |
|||
9 |
Ø |
Ø |
||
10 |
||||
11 |
||||
12 |
Ответы №10, 11
Таблица №11
|
1В |
2В |
3В |
4В |
1 |
4х3 |
6х5 |
7х6 |
3х2 |
2 |
6х2 |
15х4 |
18х2 |
20х3 |
3 |
10х4-6х |
42х5+9х2+10х |
15х4+9х2-10х |
12х+12 |
4 |
-3х-4 |
-8х-5 |
-12х-5 |
-6х-3 |
5 |
2/3х-1/3 |
1/4х-3/4 |
3/5х-2/5 |
4/3х1/3 |
6 |
2ех |
2хln2 |
||
7 |
3ex |
3xln3 |
||
8 |
4xln4 |
ex |
5xln5 |
4ex |
9 |
ex |
|||
10 |
cosx |
-sinx |
-2sin2x |
|
11 |
-3sin3x |
cosx |
||
12 |
cosx |
-sinx |
||
13 |
2cos2x |
-4sin4x |
-sinx |
|
14 |
2 |
6(3x-6) |
1 |
21(7x-8)2 |
15 |
2cos(2x+3) |
-4 |
-3sin(3x+4) |
0 |
16 |
0 |
-4sin(4x-3) |
2 |
5cos5x |