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Matematika attestatsiya №3

InfoMaster

Yanvar 15, 2022

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9 ovozlar, 3.9 avg

Matematika fanidan attestatsiya savollari №3

1 / 39

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 60

C) 58

D) 59

2 / 39

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 200

B) 289

C) 203

D) 201

3 / 39

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 4

B) 2

C) 1

D) 3

4 / 39

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 16

B) 24

C) 32

D) 8

5 / 39

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 12

C) 26

D) 18

6 / 39

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 46

B) 40

C) 44

D) 50

7 / 39

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 16

B) 18

C) 2√14+√6

D) √6+√14

8 / 39

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-4

B) f(x)=x²-x+5

C) f(x)=x²+3x+7

D) f(x)+2x²-1

9 / 39

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y+2=0

B) 3x+2y+2=0

C) 3x+2y-2=0

D) 3x-2y-2=0

10 / 39

tenglamani yeching.

A) log(3/5)2

B) log(5/3)2

C) 3

D) 5

11 / 39

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/4

B) 1/5

C) 4

D) 1/3

12 / 39

tenglamaning ildizlari yig'indisini(agar ildizi bitta bo'lsa, o'zini) toping.

A) 1

B) 3

C) 0

D) 2

13 / 39

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 13

C) 9,25

D) 5,75

14 / 39

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) 5

C) √5

D) 2√5

15 / 39

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-1; ∞)

B) (0; ∞)

C) (-2; ∞)

D) [-1; ∞)

16 / 39

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) a,b

B) b

C) )a,b,d

D) b,d

17 / 39

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 7

B) 12

C) 5

D) 1

18 / 39

Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 10

B) 13

C) 11

D) 12

19 / 39

Soddalshtiring.

A) 1

B) -1

C) 2

D) 6

20 / 39

Hisoblang:

A) 3

B) 4

C) 2

D) 1

21 / 39

Soddalashtiring:

A) 3

B) Aniqlab bo`lmaydi

C) 1

D) 2

22 / 39

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 2

C) 3

D) 4

23 / 39

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) 0

C) -1

D) -2

24 / 39

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 1

B) 3

C) 4

D) 2

25 / 39

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 3

B) 6

C) 4

D) 5

26 / 39

Hisoblang?

A) 0,25

B) 4

C) 2

D) 0,5

27 / 39

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 9

B) 6

C) 7

D) 8

28 / 39

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 13

B) 14

C) 11

D) 12

29 / 39

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 100°

B) 120°

C) 110°

D) 130°

30 / 39

Soddalashtiring.

A) (a-1)/(1-b)

B) (b+2)/(1-b)

C) (a-1)/(a-3)

D) (a+1)/(-a-3)

31 / 39

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 34

B) 36

C) 40

D) 32

32 / 39

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (28π)/3

B) (29π)/3

C) (32π)/3

D) 11π

33 / 39

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 1

B) 4

C) 3

D) 2

34 / 39

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 30°

B) 20°

C) 10°

D) 40°

35 / 39

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 0,2km

B) 20 km

C) 2 km

D) 200 km

36 / 39

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 16

B) 64/5

C) 10

D) 48/5

37 / 39

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi