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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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Matematika fanidan attestatsiya savollari №5

1 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 3

B) 2

C) 1

D) 4

2 / 40

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) aniqlab bo‘lmaydi

B) 4

C) 3

D) 2

3 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,5

B) 0,16

C) 0,8

D) 0,32

4 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln3

B) ln2

C) ln5

D) ln4

5 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 3

B) 2

C) 4

D) 1

6 / 40

Aniq integralni hisoblang:

A) 0,5

B) 3

C) 0

D) 2

7 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 101

B) 99

C) 100

D) 98

8 / 40

Soddalashtiring.

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

B) (a-1)/(a-3)

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

D) (a-1)/(1-b)

9 / 40

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

A) 2

B) 1

C) 3

D) 4

10 / 40

Tenglamani yeching:

A) 9/5

B) 5/9

C) 6/5

D) 5*4

11 / 40

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

A) 3

B) 2

C) 1

D) 4

12 / 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) 20

B) 40

C) 35

D) 25

13 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 8

C) 5

D) 6

14 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√2

D) 2√3

15 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -4

B) 5

C) -3

D) -6

16 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 4√2

B) 6

C) 4√3

D) 3√2

17 / 40

Hisoblang:

A) 1

B) sin10°

C) cos10°

D) cos50°

18 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 3

C) 1

D) 2

19 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 10

B) 8

C) 20

D) 15

20 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 15

B) 14

C) 12

D) 13

21 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

22 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 40°

C) 50°

D) 30°

23 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 110

D) 116

24 / 40

bo‘lsa,

A) 3/2

B) 1

C) 2

D) 2/3

25 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

26 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) 2√3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 4 √3tg50° tg70°

27 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) -6

D) 6; -5

28 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 14

B) 24

C) 35

D) 23

29 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 16(π-2)

B) 64

C) 8(π+2)

D) 32

30 / 40

Hisoblang:

A) -1/2

B) 1/32

C) -√3/2

D) 0

31 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) AB = BC

B) BC > AD

C) BD = BC

D) DC < AD

32 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 22

C) berilganlar yetarli emas

D) 11

33 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) bd/c

B) bc/d

C) 1

D) cd/b

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 2

C) 4

D) 1

35 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 45

B) 43

C) 42

D) 44

36 / 40

sonlarini taqqolsang.

A) c

B) a

C) c

D) b

37 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 100

B) 25

C) 96

D) 105

38 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 6

B) 8

C) 10

D) 12

39 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.