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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang.

A) 15/34

B) 2/17

C) 2/34

D) 17/34

2 / 30

Hisoblang

A) 3√3

B) 2√3

C) √3

D) 1

3 / 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) 0,5S

B) 4S

C) 3S

D) 2S

4 / 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(2cos2x)

D) -4sin2x*cos(cos2x)

5 / 30

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

A) ln(lg x)

B) lg(lg x)

C) lg(ln x)

D) ln(ln x)

6 / 30

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

A) {1;2}

B) {-1;2}

C) {-1;3}

D) {2;4}

7 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 48

B) 54

C) 108

D) 52

8 / 30

tenglamalar sistemasini yeching

A) (4;4)

B) (-4;-4)

C) (4;–4)

D) (-4;4)

9 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 4√3π

B) 3π

C) 2√3π

D) 12π

10 / 30

Tengsizlikni yeching.

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

B) (-3;2)

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

D) (2;4)

11 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 38

B) 36

C) 42

D) 32

12 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 1,4

C) 3, 4

D) 2, 3

13 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (-∞;1]v[2;∞)

C) [1;2]

D) (1;2)

14 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 2

B) 0,5

C) 1

D) 0

15 / 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) 412967

B) 374389

C) aniqlab bo’lmaydi

D) 2

16 / 30

sistemada xy ning qiymatini toping.

A) 80

B) 60

C) 75

D) 64

17 / 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

18 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 32

B) 30

C) 36

D) 25

19 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) bunday funksiya mavjud emas

C) juft funksiya

D) juft ham emas, toq ham emas funksiya

20 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 150

B) 225

C) 60

D) 50

21 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 3π/2

B) 4π/3

C) 3π/4

D) 2π/3

22 / 30

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

A) o’zaro parallel

B) aniqlab bo’lmaydi

C) ayqash

D) o’zaro perpendikulyar

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) 2000

B) 2100

C) 2200

D) 1900

24 / 30

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

A) -14

B) -10

C) -12

D) -4

25 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 36

B) 50

C) 54

D) 40

26 / 30

integralning qiymatini toping.

A) π/4

B) -π/2

C) π/2

D) 0

27 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 1/60

B) 6/720

C) 5/24

D) 5/720

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) 2,5% ga ortadi

D) 6,25% ga kamayadi

29 / 30

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

A) 7

B) 10

C) 9

D) 8

30 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 10 yoki 50

B) 10

C) 2 yoki 50

D) 50