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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(2cos2x)

B) -4sin2x*cos(cos2x)

C) 4sin2x*cos(cos2x)

D) 4sin2x*cos(2cos2x)

2 / 30

Hisoblang:

A) -1

B) 1

C) 3

D) 2

3 / 30

tenglamani yeching.

A) 2019

B) 2017

C) 0

D) 2018

4 / 30

sonning oxirgi raqamini toping.

A) 2

B) 4

C) 6

D) 8

5 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/3

B) 1/2

C) 2/5

D) -1/2

6 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 1, 2

B) 2

C) 3

D) 1, 3

7 / 30

ifodaning qiymatini toping.

A) -0,5

B) -2

C) 0

D) 0,5

8 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(lg x)

B) ln(lg x)

C) lg(ln x)

D) ln(ln x)

9 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (2;∞)

B) 6

C) (-∞;6])v[6;∞)

D) (-∞;6)

10 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 2√2/3

B) 5√3+3/3

C) 3√2+2/4

D) 3√3+1/5

11 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 22222222220

B) 222220175

C) 222222222222

D) 2222222175

12 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {1;2}

B) {2;4}

C) {-1;3}

D) {-1;2}

13 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 17

B) 18

C) 16

D) 14

14 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 374389

B) 2

C) aniqlab bo’lmaydi

D) 412967

15 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 4

B) 6

C) 5

D) 10

16 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) ab

B) 1

C) ab/c

D) abc

17 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (-1/³ √2 ;0)

C) (0;+∞)

D) 0

18 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 30

C) 28

D) 20

19 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) 2π/3

B) π

C) 2π

D) π/2

20 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 10

B) 11

C) √46

D) 12

21 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 228

B) 231

C) 147

D) 150

22 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 10

B) 9

C) 11

D) 12

23 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 2100

B) 2200

C) 2000

D) 1900

24 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (2;4)

C) (-3;2)v(2;4)

D) (-4;2)v(2;3)

25 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) -10/27

B) 10/27

C) -10/3

D) 10/3

26 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro perpendikulyar

B) o’zaro parallel

C) ayqash to’gri chiziqlar

D) o’zaro kesishadi

27 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) 7-2m

C) m

D) 7

28 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) -x-y+z=0

B) x-1/2=y-2/3=z-3/4

C) 2x+3y+z=0

D) x=y/3=z/2

29 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) ±6

C) -1;6

D) -1;-6

30 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 2S

B) 4S

C) 0,5S

D) 3S