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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

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 58

C) 60

D) 59

2 / 40

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

A) 21

B) 24

C) 28

D) 32

3 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) (-2√2;√2)

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) [-√2;0)∪(0;√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) 48

C) 32

D) 27

5 / 40

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

A) 0,2km

B) 2 km

C) 200 km

D) 20 km

6 / 40

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

A) 12

B) 11

C) 14

D) 13

7 / 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) 100

C) 90

D) 120

8 / 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) 9

B) 7

C) 12

D) 15

9 / 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) dastlab kamayadi, keyin o‘sadi

B) qat’iy o‘suvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy kamayuvchi

10 / 40

Hisoblang:

A) 8

B) 4

C) 0

D) 6

11 / 40

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

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) 4 √3tg50° tg70°

12 / 40

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

A) 10

B) 20

C) 15

D) 8

13 / 40

Hisoblang:

A) 9/10

B) 20/21

C) 19/20

D) 10/11

14 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

15 / 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) 24

C) 14

D) 23

16 / 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

17 / 40

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

A) 45

B) 43

C) 44

D) 42

18 / 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) bd/c

C) cd/b

D) 1

19 / 40

Hisoblang:

A) cos10°

B) sin10°

C) 1

D) cos50°

20 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 2

C) 1

D) 3

21 / 40

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

A) Ø

B) -π/4+πk, k∈Z

C) 0

D) π/4+πk, k∈Z

22 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 11

C) 10

D) 9

23 / 40

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

A) 5 yoki –15

B) 6

C) 4 yoki –12

D) 3 yoki –8

24 / 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

25 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

26 / 40

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

A) 4

B) 2

C) 1

D) 3

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) 10

B) 12

C) 6

D) 8

28 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 20°

D) 40°

29 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 6; -5

D) 5

30 / 40

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

A) 14

B) 15

C) 12

D) 13

31 / 40

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

A) 8(π+2)

B) 64

C) 16(π-2)

D) 32

32 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 3

C) 2

D) 1

33 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 4

D) 11

34 / 40

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

A) 5

B) 8

C) 7

D) 6

35 / 40

bo‘lsa,

A) 1

B) 2/3

C) 3/2

D) 2

36 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

37 / 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) 4√2

D) 3√2

38 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 12

C) 14

D) 10

39 / 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) 1

C) 4

D) 3

40 / 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) 96

B) 105

C) 100

D) 25