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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 12

C) 35

D) 11

2 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 2

B) 5

C) 3

D) 4

3 / 40

Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 130 kun

B) 100 kun

C) 140 kun

D) 120 kun

4 / 40

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 2,5

B) 4

C) 2

D) 3

5 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 670 km

B) 255 km

C) 13 km

D) 456 km

6 / 40

funksiyaning qiymatlar to'plamini toping.

A) (-2√2;√2)

B) [-√2;0)∪(0;√2]

C) [-√2;√2]

D) [-√2;-1)∪(-1;1)∪(1;√2]

7 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) 5

C) √5+5

D) 2√5

8 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) -13cosx- cos13 x +C

B) 13sinx+sin13x + C

C) 13cosx-cos13x + C

D) 13sinx-sin13x + C

9 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) 1

B) √3

C) 2

D) √2

10 / 40

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) 2√14+√6

B) 18

C) √6+√14

D) 16

11 / 40

Soddalashtiring.

A) (a-1)/(a-3)

B) (a-1)/(1-b)

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

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

12 / 40

Quyidakilardan qaysi biri juft:

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

A) 3

B) 2

C) 4

D) 1

13 / 40

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) 11

C) 12

D) 13

14 / 40

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

A) 40

B) 36

C) 32

D) 34

15 / 40

Hisoblang?

A) 0,25

B) 4

C) 0,5

D) 2

16 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 4

B) 2

C) 1

D) 5

17 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) √5

C) √6

D) 2,5

18 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 3

B) 9

C) 6

D) 12

19 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 6

C) 5

D) 2

20 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 35

B) 40

C) 25

D) 20

21 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 1

B) 9

C) 5

D) 0

22 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 80

B) 120

C) 100

D) 90

23 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 132°

C) 142°

D) 135°

24 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,144

B) 0,432

C) 0,216

D) 0,288

25 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 10

C) 8

D) 6

26 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 4

B) 3

C) 2

D) 1

27 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 12

B) 9

C) 7

D) 15

28 / 40

Hisoblang:

A) 6

B) 4

C) 0

D) 8

29 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 32

C) 41

D) 25

30 / 40

Integralni hisoblang:

A) 4

B) 3

C) 2

D) 1

31 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) √3/4

C) 1/8

D) √2/8

32 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) R(√3-√2)

B) 1,5R

C) √3R(2-√3)

D) 3R

33 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 40

B) 48

C) 52

D) 28

34 / 40

Funksiyaning aniqlanish sohasini toping.

A) [-3;2]

B) x∈R

C) (-∞;3]∪[2;∞)

D) (-∞;0)∪(0;∞)

35 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 10

B) 8

C) 6

D) 9

36 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 3

C) 1

D) 4

37 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 1

B) 8

C) 5

D) 0

38 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 8√3

C) 9√5

D) 12√3

39 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/3

B) 5/6

C) 8/15

D) 1/2

40 / 40

Yig‘indini toping.