МАТЕМАТИКА 6 РАДНА СВЕСКА ЗА ШЕСТИ РАЗРЕД ОСНОВНЕ ШКОЛЕ

Page 1







0

F

A

1

D

C

B 0

E

1

5. ʯ̛̛̪̹̌ ̭̖̏ ̶̖̣̖ ̨̬̠̖̖̍̏ dž ̡̨̛̠ ̨̨̤̠̱̌̔̏̌̏̌̚ ̨̱̭̣̏͘ ̌Ϳ –4 < h ̛ h < 3,

h { { }

̍Ϳ –5 < h ̛ h < 6,

h { { }

8. ʻ̌ ̨̛̯̖̬̥̥̖̯̬̥̌ ̶̨̬̯̠̔̌ ̨̨̬̠̱̖̔̐̏̌̌̓ ̬̖̏̔Ͳ ̨̛̦̭̯ ̯̖̥̪̖̬̯̱̬̖̌͗ ϯΣ ͕ –ϰΣ ͕ –ϭΣ ͕ ϰΣ ͘ 3°C –4°C –1°C 4°C

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

–2

–3 –5

5


–17

+23

–36

+18 +13

–58

–28

–12

–27

+66

–6 –33

–54 –32

н

–5

нϲ

–9

нϮ

– –2

нϯ

нϱ

нϲ

нϭϬ

–8

–7

–3

нϰ

нϱ

–4

0

11

–6

нϴ

–3

–6

нϲ

нϳ

нϮ

–5 –5

нϴ

–10

+24

–7

н

27

–1

нϳ

–1

0 –4

нϭ

нϲ

7


10


–6 . 2

–ϯ . (–ϰ Ϳ

ϯ . (–Ϯ Ϳ

–5 . 5

–2 . (–ϯ Ϳ

–5 . (–ϱ Ϳ

–25

6

25

–12

–6

12

.

3

–5

6

–2

a

b

–3

–2

7

–6

5

–3

4

6

2

7

–9

– 10

a.b

a . (– b ) – a . ( – b ) – a . ; нb )

11


14


15


19


D

A

C

B

˃

22


ϯ 4

7 12

ϯ 4

1 ϯ

2 7

1 2

7 2

0 – 3 4

3 12

–2 5 6

–3 1 2

–x

9 2

1

4. ʤ̡̨ ̠̖ ̌ = – x

6 4

1 ͕ b = –1 1 ̨̛̬̖̔̔͗ 2 2

ĂͿ ඥaඥ н ඥbඥ с ̍Ϳ – a н ඥbඥ с

– (–x) ̏Ϳ – a – ඥbඥ с

ඥxඥ

36 6

36 54

1 7

1 2

1 5

504 792

26

1 5

1 5

1 5

– 180 – 315

–5 –8

– 25 54

2 3

1 4

36 3

14 21

5 6

1 5

1 3

84 – 63

3 5

5 6

1 9

1 2

1 9

1 3

– 2184 1848

1 9

36 10

1 2


1 2

2 3

1 7

1 2

5 9

2 5

1 4

1 6

1 6

– 1 2

+

1 3

–1 1 5

– 0,5

2 9

2 3

1 6

2 3

9 14

2 3

2 3

2 3

1 5

– 1,5

– 0,5

a

b

̭

– 1 8 – 2 3

3 2 – 5 6

– 1 4

1,2

– 0,5

– 1,5

0,3

0,2

– 0,6

3 2

aнb–̭

– 0,2

a–b–̭

–a н b – ̭

1

11 4

1 2

a–bн̭

8 3

9 4

1 3

9 4

2 5

5 2

1 6

7 6

2 3

7 10

1 3 1 6

– 1 5 – 1 2 1,2

1 3

1 2

1 –12

2,5

3 8

1 2 17 20

– 1,5

– 2 5 1 –1 2

28

1 2

– 0,5


–2 1

1 2

5 2

a

7,2

11 2 1 : – 3 2 4 1 2 2 3 2

b

̭

– 2 3 1,25 –1 2 2 5 3 –0,75 – 0,375 1

3 4

1 2

1 2

5,5

4

–0,1

: (–0,2)

0,5

–1 –1,1

1,2 3,6

a–b:̭

(a – b) : ̭

a:bн̭

a : (b н ̭)

– 1 6 0,25 2 –1,5

3 4

2 7

2 ϯ

1 2

3 8

1 4

1 4

5 14

1 2

3 4

2 ϯ

1 2

1 4

13 14

3 5

1 4

1 2

1 2

1 4

1 2

1 2

5 18

3 5

1 2

1 ϯ

35


2 3

1 2

2 3

1 4

1 2

2 5

1 2

1 4 1 2

1 5

38

1 ϯ

ϯ 5

1 2


2 3

4 3

2 3

3 4

3 5

1 2

3 5

1 2

2 5

1 2

1 4

1 5

39


̨̡̬̣̥̌̌̚

7 100

1 8

̶̛̛̖̥̣̦̔̌ ̛̪̭̌̚ ̶̨̪̬̖̦̯̌

40

2 5 0,78

2%

0,007 12,5%


1

2

3

4

5

D C

A

B

41


D

0 A 70

C

x

B

43


ʽ̨̛̭̦̖̍ ̨̪̬̣̖̣̬̥̌̌̐̌̌

ˀ̨̥̍

ʿ̨̨̡̛̬̱̦̌̏̐̌

ʶ̬̯̏̌̔̌

ʻ̭̪̬̥̦̖̌̌ ̶̛̭̯̬̦̖̌ ̭̱ ̪̬̣̖̣̦̖̌̌ ̛ ̡̠̖̦̖̔̌͘ ˁ̖̏ ̶̛̭̯̬̦̖̌ ̭̱ ̡̠̖̦̖̔̌͘ ʻ̛̭̪̬̥̦̌̌ ̨̛̱̣̐̏ ̭̱ ̡̛̠̖̦̔̌͘ ʪ̨̛̠̦̣̖̌̐̌ ̭̱ ̡̠̖̦̖̔̌͘ ʪ̨̛̠̦̣̖̌̐̌ ̭̱ ̨̦̬̥̣̦̖̌͘ ʪ̨̛̠̦̣̖̌̐̌ ̭̖ ̨̨̪̣̖̏͘ ʺ̨̙̖ ̭̖ ̨̛̛̪̭̯̌ ̶̡̛̬̱̙̦̌͘ ʺ̨̙̖ ̭̖ ̛̛̱̪̭̯̌ ̶̡̛̬̱̙̦̌͘

550

45


4 cm

48

8 cm


.

A

.

.B A D

52

.

.B

.

. D

.

A

.

.

D

.B .

A

.

.

.B

D

.


a

4 cm

12 dm

ha

3 cm

6 cm

5 cm

b

2 cm

8 cm

10 cm

3 cm

hb ʽ

70 cm

0,9 dm 18 cm 4 dm

32 cm 10,8 dm2 252 cm2

P

3 5

5 4 3 1

54

2


1

5 3 2

7 6 4

8

55


d1

15

3,6

d2

12

5,7

P

2

1

9 8 20

3

45

5

4

57


ʶʽʻˁ˃ˀ˄ʶˉʰʵʤ ˃ˀʽ˄ʧʸʤ 1. ̐Ϳ ʻ̶̬̯̠̌̌ ̨̪̣̱̪̬̱̌̏ ʤŵ͘ ˄ ̸̡̛̯̌ ʤ ̡̨̛̛̦̭̯̬̱̹ ̛̦ ̡̡̬̌ ̸̨̛̦̌̚ ̭̌ ʤŶ͘

с ϳϱ0 ̛ ̨̛̠̖̔̍Ͳ

n

m

ʤ

m

ʤ

k ;ʤ͕ b) ʤŶ с ΂ ΃ ̛ k ;ˁ͕ a) ʤŵ с ΂ ΃.

ʤ

C

n

C

m

ʤ

n

ˁʤʥʰˀʤʼʫ ʰ ʽʪ˄ʯʰʺʤʼʫ ˄ ˁʶ˄ʿ˄ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 3. a) – 7 , ̍Ϳ – 5 , ̏Ϳ 1 , ̐Ϳ 3 , ̔Ϳ ϰ͕ϴ, ͂Ϳ ϯ͕ϲ, ̖Ϳ ϳ͕ϴ, ̙Ϳ – 2,6; 8 4 4 5 4. A с 7 , с – 1 2 , C с 1 2 , a) A н н C с 7 , ̍Ϳ – A – н C с Ϯ 1 , 10 5 5 10 10 ̏Ϳ A н | | – C с 7 ; 5. a) 6,054, ̍Ϳ – 7 , ̏Ϳ – 6,1, ̐Ϳ – 2 1 . 10 18 4 ʥˀʽʵʫʦʻʰ ʰʯˀʤʯʰ 1. a) – 1 4 , ̍Ϳ – 3 , ̏Ϳ – 1 1 , ̐Ϳ – 3, ̔Ϳ 1 , ͂Ϳ – 5 , ̖Ϳ – 2 ; 5 4 9 8 6 3 2. ̌Ϳ – 1,5, ̍Ϳ – 6,5, ̏Ϳ – 5,9, ̐Ϳ – 10, ̔Ϳ – 5, ͂Ϳ –7,8, ̖Ϳ – 0,9. ʵʫʪʻʤˋʰʻʫ ˄ ʦʫʯʰ ˁʤ ˁʤʥʰˀʤʼʫʺ ʰ ʽʪ˄ʯʰʺʤʼʫʺ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 1. a) ̵ с – 3 , ̍Ϳ ̵ с ϭ͕ϰ, ̏Ϳ ̵ с ϭ͕ϲ, ̐ Ϳ ̵ с – 2,3, ̔Ϳ ̵ с ϭ19 , 4 20 2. ̵ с – 4,15; ͂Ϳ ̵ с 4 3 ̛̛̣ ̵ с – 2 1 , ̖Ϳ ̵ с 4,25 ̛̛̣ ̵ с – 3,25; 8 8 4. ̵ с ϭ͕ϯ; 5. ̵ с ϯ͕ϲϯ. 3. ̵ с – 6 1 ; 8 ʻʫʵʫʪʻʤˋʰʻʫ ˄ ʦʫʯʰ ˁʤ ˁʤʥʰˀʤʼʫʺ ʰ ʽʪ˄ʯʰʺʤʼʫʺ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 1. a) ̵ > – 3 , ̍Ϳ ̵ < 4,8, ̏Ϳ ̵ > – 2,7, ̐Ϳ ̵ > 6, ̔Ϳ ̵ > – 0,85, 4 ͂Ϳ – 5 1 < ̵ < 2 1 , ̖Ϳ ϯ ф ̵ < 4 ,5; 2. ̵ > 9,2; 3. ̵ < 2 ; 2 2 5 4. ̵ < – 4,5. ʺʻʽʮʫʼʫ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 4. с 3 ͕ с – 1 ͕ с – 5 , 3. a) 6 , ̍Ϳ 2 , ̏Ϳ – 5 ; 5 3 3 2 9 2 a) A . – C с Ϯ 1 , ̍Ϳ A . . C с 5 ; 5. a) – 3 1 , ̍Ϳ ϭϮ͕ϱ͘ 3 12 15 ʪʫʹʫʼʫ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 4. с ϭ͕ с ϭ 1 ͕ с – 1 , 3. a) – 1 , ̍Ϳ 1 , ̏Ϳ ϭ 1 ; 3 6 2 2 3 a) (A . ) : C с – 4 1 , ̍Ϳ ( : A) . C с – 1 ; 5. a) – 15,6, ̍Ϳ 1 . 2 2 5 ʥˀʽʵʫʦʻʰ ʰʯˀʤʯʰ ̏Ϳ 1 , ̐Ϳ – 1, ̔Ϳ – 3; 2. ̌Ϳ ϮϮ, ̍Ϳ Ϯ͕ϳϱ, 1. ̌Ϳ Ϭ, ̍Ϳ 2 , 3 4 ̏Ϳ – 13, ̐Ϳ – 28,75, ̔Ϳ – 6,25. ʵʫʪʻʤˋʰʻʫ ˄ ʦʫʯʰ ˁʤ ʺʻʽʮʫʼʫʺ ʰ ʪʫʹʫʼʫʺ ˀʤˉʰʽʻʤʸʻʰˈ ʥˀʽʵʫʦʤ 1. ̌Ϳ ̵ с ϯ͕ ̍Ϳ ̵ с – ϲ͕ ̏Ϳ ̵ с – 1 1 ͕ ̐Ϳ ̵ с – 14 ͕ ̔Ϳ ̵ с 1 , 3 25 2 ͂Ϳ ̵ с – 12, ̖Ϳ ̵ с –1 1 , ̙Ϳ ̵ с 498425; 15 8 3. ̵ с – 3,3; 4. ̵ с . 2. ̵ с – 2; 15

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