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Matematika attestatsiya №5

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Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 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) 2

D) 3

2 / 40

Berilgan sonlarning yig’indisini toping.

A) -452/18

B) 3/18

C) 2/4

D) 1/4

3 / 40

bo‘lsa, x + y ni toping.

A) 18

B) 16

C) 17

D) 20

4 / 40

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

A) ln2

B) ln4

C) ln3

D) ln5

5 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 114

B) 126

C) 108

D) 96

6 / 40

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

A) 1/3

B) 1/4

C) 1/5

D) 4

7 / 40

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

A) 12

B) 14

C) 13

D) 11

8 / 40

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) 11π

C) (32π)/3

D) (29π)/3

9 / 40

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

A) 3

B) 1

C) 2

D) 4

10 / 40

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

A) 32

B) 25

C) 50

D) 41

11 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy kamayuvchi

B) dastlab kamayadi, keyin o‘sadi

C) qat’iy o‘suvchi

D) dastlab o‘sadi, keyin kamayadi

12 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) (-∞;3]∪[2;∞)

C) [-3;2]

D) x∈R

13 / 40

bo‘lsa,

A) 1

B) 2

C) 2/3

D) 3/2

14 / 40

Hisoblang:

A) cos50°

B) cos10°

C) 1

D) sin10°

15 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 3

C) 1

D) 2

16 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 28

D) 32

17 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 20°

D) 40°

18 / 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) 5

B) -6

C) -3

D) -4

19 / 40

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

A) 1

B) bc/d

C) cd/b

D) bd/c

20 / 40

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

A) 32

B) 16(π-2)

C) 64

D) 8(π+2)

21 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 8

C) 10

D) 4√7

22 / 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) 35

C) 23

D) 24

23 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

24 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 3

B) 4

C) 1

D) 2

25 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 116

D) 110

26 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 12

D) 20

27 / 40

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

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) 2√3tg50° tg70°

D) √3tg50° tg70°

28 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

B) (7; 2), (28; -1)

C) (9; 0), (28; -1)

D) (9; 0), (2; 7)

29 / 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) 6

B) 3√2

C) 4√3

D) 4√2

30 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 2

B) 3

C) 4

D) 1

31 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 2

C) 3

D) 1

32 / 40

√3

A) 7/3

B) 3/2

C) 21/10

D) 5/5

33 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√2

D) 2√3

34 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 11

D) 4

35 / 40

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

A) 12

B) 13

C) 15

D) 14

36 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) π/4+πk, k∈Z

B) Ø

C) -π/4+πk, k∈Z

D) 0

37 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

38 / 40

Hisoblang:

A) 1/32

B) 0

C) -1/2

D) -√3/2

39 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 11

D) 10

40 / 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) BD = BC

B) BC > AD

C) DC < AD

D) AB = BC