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Matematika attestatsiya №5

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Yanvar 24, 2022

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Matematika fanidan attestatsiya savollari №5

1 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 22

B) 25

C) 20

D) 18

2 / 40

tengsizlikni yeching.

A) x∈(-∞;5)

B) x∈(-3;1)

C) x∈(-∞;5)∪(-3;1)

D) x∈(-5;1)

3 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 28

B) 32

C) 24

D) 21

4 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 7

B) 3

C) 9

D) 1

5 / 40

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

A) f(x)+2x²-1

B) f(x)=x²+3x+7

C) f(x)=x²-x+5

D) f(x)=x²-4

6 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 3

B) 4

C) 2

D) 1

7 / 40

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

A) 10

B) 64/5

C) 48/5

D) 16

8 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 98

C) 99

D) 101

9 / 40

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

A) 40°

B) 20°

C) 10°

D) 30°

10 / 40

Integralni hisoblang:

A) 1

B) 3

C) 2

D) 4

11 / 40

tenglama intervalda nechta ildizga ega?

A) 2

B) 4

C) 1

D) 3

12 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 3

C) 6

D) 12

13 / 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) BC > AD

B) DC < AD

C) AB = BC

D) BD = BC

14 / 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) 4

C) 1

D) 3

15 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 11

C) 6

D) 4

16 / 40

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

A) 15

B) 10

C) 20

D) 8

17 / 40

√3

A) 7/3

B) 21/10

C) 5/5

D) 3/2

18 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

19 / 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) 4√3

C) 3√2

D) 4√2

20 / 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) -3

C) 5

D) -6

21 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 112

C) 115

D) 116

22 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 3 yoki –8

B) 4 yoki –12

C) 6

D) 5 yoki –15

23 / 40

sonlarini taqqolsang.

A) c

B) c

C) a

D) b

24 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 24

C) 32

D) 30

25 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

26 / 40

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

A) 35

B) 14

C) 23

D) 24

27 / 40

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

A) 3

B) 5

C) 8

D) -2

28 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 5

D) 6; -5

29 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 121

C) 22

D) 11

30 / 40

bo‘lsa,

A) 2

B) 2/3

C) 1

D) 3/2

31 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

32 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,04

D) 0,0(4)

33 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 3

C) 2

D) 1

34 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 3

C) 1

D) 2

35 / 40

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

A) 32

B) 16(π-2)

C) 64

D) 8(π+2)

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

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) 10

C) 8

D) 12

38 / 40

Tenglamalar sistemani yeching: