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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 qanoatlantiruvchi yechimlar nechta?

A) 2

B) 3

C) 1

D) 0

2 / 40

Qavariq oltiburchakning 3 ta uchidan kesib olsak qanday shakl hosil bo’ladi ?

A) 12

B) 9

C) 14

D) 6

3 / 40

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

A) 108

B) 96

C) 126

D) 114

4 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) (-∞;-2]

C) [-2;1]∪{-3}

D) [-3;2]∪{1}

5 / 40

Soddalashtiring:

A) Aniqlab bo`lmaydi

B) 3

C) 1

D) 2

6 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 12

B) 7

C) 5

D) 1

7 / 40

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

A) 41

B) 50

C) 25

D) 32

8 / 40

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

A) 4800

B) 3600

C) 600

D) 5050

9 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 8/15

B) 5/6

C) 1/2

D) 1/3

10 / 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 o‘suvchi

B) dastlab kamayadi, keyin o‘sadi

C) qat’iy kamayuvchi

D) dastlab o‘sadi, keyin kamayadi

11 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 12

D) 20

12 / 40

Hisoblang:

A) -√3/2

B) 0

C) -1/2

D) 1/32

13 / 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) 3√2

C) 4√3

D) 6

14 / 40

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

A) 6

B) 3 yoki –8

C) 5 yoki –15

D) 4 yoki –12

15 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

16 / 40

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

A) 3

B) 2

C) 4

D) 1

17 / 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) 105

D) 96

18 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 4√3

C) 2√3

D) 3√2

19 / 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) 4√7

C) 10

D) 8

20 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 24

D) 30

21 / 40

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

A) 7

B) 11

C) 10

D) 5

22 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 4

D) 2

23 / 40

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

A) -2

B) 5

C) 3

D) 8

24 / 40

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

A) 23

B) 35

C) 14

D) 24

25 / 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) 3

B) 4

C) 1

D) 2

26 / 40

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

A) 32

B) 16(π-2)

C) 8(π+2)

D) 64

27 / 40

√3

A) 7/3

B) 3/2

C) 21/10

D) 5/5

28 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 112

D) 115

29 / 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) 8

C) 6

D) 12

30 / 40

Hisoblang:

A) cos50°

B) 1

C) cos10°

D) sin10°

31 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

32 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 4

C) 6

D) 11

33 / 40

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

A) 4 √3tg50° tg70°

B) √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

34 / 40

Tenglamani yeching:

A) 6; -5

B) 5

C) -6; 5

D) -6

35 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 42

B) 48

C) 32

D) 64

36 / 40

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

A) 42

B) 44

C) 43

D) 45

37 / 40

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

A) 7

B) 8

C) 6

D) 5

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) AB = BC

B) BC > AD

C) DC < AD

D) BD = BC

39 / 40

Kvadratlarning yuzlari yig‘indisini toping.