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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 4

B) 16

C) 25

D) 9

2 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n = 0, k > 0

B) n > 0, k = 0

C) n = 0, k < 0

D) n < 0, k = 0

3 / 40

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

A) 3

B) 4

C) 1

D) 2

4 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 26

B) 32

C) 48

D) 27

5 / 40

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

A) 12

B) 11

C) 14

D) 13

6 / 40

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

A) 200 km

B) 0,2km

C) 2 km

D) 20 km

7 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) 8

C) 6

D) berilganlar yetarli emas

8 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 3600

B) 600

C) 5050

D) 4800

9 / 40

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

A) 5

B) 1

C) 0

D) 9

10 / 40

tenglama intervalda nechta ildizga ega?

A) 4

B) 2

C) 3

D) 1

11 / 40

Hisoblang:

A) cos10°

B) 1

C) cos50°

D) sin10°

12 / 40

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

A) 2√3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

13 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 9/10

D) 10/11

14 / 40

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

A) 4

B) 2

C) 3

D) 1

15 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

16 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√3

C) 4√3

D) 2√2

17 / 40

sonlarini taqqolsang.

A) c

B) c

C) a

D) b

18 / 40

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

A) 44

B) 43

C) 45

D) 42

19 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 28

D) 32

20 / 40

√3

A) 3/2

B) 5/5

C) 21/10

D) 7/3

21 / 40

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

A) 11

B) 5

C) 10

D) 7

22 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

23 / 40

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

A) 4√7

B) 6√7

C) 8

D) 10

24 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 116

C) 115

D) 110

25 / 40

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

A) 3

B) 5

C) -2

D) 8

26 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 1

C) 2

D) 4

27 / 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) 12

B) 8

C) 6

D) 10

28 / 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√2

D) 4√3

29 / 40

bo‘lsa,

A) 2

B) 1

C) 2/3

D) 3/2

30 / 40

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

A) 4 yoki –12

B) 5 yoki –15

C) 3 yoki –8

D) 6

31 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 3

C) 1

D) 2

32 / 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) 96

C) 105

D) 25

33 / 40

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

A) π/4+πk, k∈Z

B) 0

C) -π/4+πk, k∈Z

D) Ø

34 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 20°

C) 40°

D) 50°

35 / 40

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

A) 16(π-2)

B) 64

C) 8(π+2)

D) 32

36 / 40

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

A) 8

B) 5

C) 7

D) 6

37 / 40

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

A) bc/d

B) 1

C) cd/b

D) bd/c

38 / 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) AB = BC

C) BC > AD

D) DC < AD

39 / 40

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

A) 15

B) 12

C) 14

D) 13

40 / 40

x²-√11x+1=0 0 bo‘lsa,