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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 4S

B) 2S

C) 3S

D) 0,5S

2 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) o’zaro perpendikulyar

B) ayqash

C) aniqlab bo’lmaydi

D) o’zaro parallel

3 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 2√3

B) 2√5

C) 4

D) 3√3

4 / 30

Hisoblang.

A) 17/34

B) 2/17

C) 15/34

D) 2/34

5 / 30

tenglamalar sistemasini yeching

A) (4;4)

B) (-4;-4)

C) (-4;4)

D) (4;–4)

6 / 30

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

A) -x-y+z=0

B) x=y/3=z/2

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

D) 2x+3y+z=0

7 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 0

B) 1

C) cheksiz ko’p

D) 2019

8 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -10

B) -4

C) -12

D) -14

9 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [0;cos2]

B) [-1;1]

C) [cos2;1]

D) [0;1]

10 / 30

tenglamani yeching.

A) 0

B) 2019

C) 2017

D) 2018

11 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) (-∞;-6]v{2}v[12;∞)

B) [2;4]v{2}v[3;∞)

C) [-2;4]v{6}

D) [1;6]

12 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) cheksiz ko’p

C) 1

D) 4

13 / 30

integralning qiymatini toping.

A) π/2

B) π/4

C) 0

D) -π/2

14 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 4

B) 16

C) 8

D) 12

15 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) 2/x

C) x/25

D) 25/x

16 / 30

Hisoblang

A) 1/2

B) √3

C) √3/2

D) 2

17 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) to'g'ri javob yo'q

C) 0

D) (0;+∞)

18 / 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) 3√2+2/4

C) 5√3+3/3

D) 3√3+1/5

19 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 14

B) 12

C) 10

D) 11

20 / 30

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

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

21 / 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) aniqlab bo’lmaydi

B) 2

C) 374389

D) 412967

22 / 30

Soddalashtiring.

A) 2018a/a+1

B) a+1

C) 2018

D) 2019

23 / 30

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

A) 10

B) 12

C) 11

D) √46

24 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 9

B) 7

C) 10

D) 8

25 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1,4

B) 1, 3

C) 3, 4

D) 2, 3

26 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 3

C) 4

D) 2

27 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4680

B) 4716

C) 4760

D) 4720

28 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga ortadi

B) o‘zgarmaydi

C) 6,25% ga kamayadi

D) 2,5% ga ortadi

29 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping