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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

33 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,5

B) 0,16

C) 0,8

D) 0,32

2 / 40

Agar bo‘lsa, x ni toping.

A) -5

B) 5

C) -2

D) 2

3 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 12

B) 24

C) 18

D) 30

4 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) 2√5

B) √5

C) √5+5

D) 5

5 / 40

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

A) 27

B) 32

C) 48

D) 26

6 / 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

7 / 40

Hisoblang?

A) 2

B) 0,5

C) 0,25

D) 4

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 holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 13

B) 11

C) 12

D) 10

10 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) √6

C) 2,5

D) √5

11 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) 2/m

C) (4-m)/4

D) (m+4)/4

12 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 3R

B) 1,5R

C) √3R(2-√3)

D) R(√3-√2)

13 / 40

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

A) √3ctg40° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3tg50° tg70°

14 / 40

Tenglamani yeching:

A) -6

B) 5

C) -6; 5

D) 6; -5

15 / 40

bo‘lsa,

A) 1

B) 3/2

C) 2

D) 2/3

16 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

17 / 40

√3

A) 3/2

B) 5/5

C) 21/10

D) 7/3

18 / 40

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

A) 6

B) 8

C) 7

D) 5

19 / 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) 1

C) 4

D) 2

20 / 40

Hisoblang:

A) 1

B) cos10°

C) sin10°

D) cos50°

21 / 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) 64

C) 32

D) 48

22 / 40

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

A) 8

B) 5

C) -2

D) 3

23 / 40

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

A) 2

B) 1

C) 4

D) 3

24 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 11

C) 121

D) 22

25 / 40

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

A) 64

B) 8(π+2)

C) 16(π-2)

D) 32

26 / 40

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

A) 10

B) 4√7

C) 6√7

D) 8

27 / 40

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

A) 13

B) 15

C) 14

D) 12

28 / 40

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

A) Ø

B) 0

C) π/4+πk, k∈Z

D) -π/4+πk, k∈Z

29 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 2

C) 1

D) 4

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 110

D) 116

31 / 40

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

A) 11

B) 5

C) 10

D) 7

32 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 9

C) 11

D) 12

33 / 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) bd/c

D) cd/b

34 / 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) BD = BC

C) BC > AD

D) DC < AD

35 / 40

Hisoblang:

A) 19/20

B) 10/11

C) 20/21

D) 9/10

36 / 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) 25

C) 100

D) 105

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) 3√2

B) 4√2

C) 6

D) 4√3

38 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 12

C) 20

D) 14

39 / 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

40 / 40

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

A) 43

B) 42

C) 44

D) 45