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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 8

B) 7

C) 10

D) 9

2 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 16

B) 32

C) 20

D) 24

3 / 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 kamayadi

B) 6,25% ga ortadi

C) o‘zgarmaydi

D) 2,5% ga ortadi

4 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/2

B) 1/6

C) 1,2

D) 1

5 / 30

integralning qiymatini toping.

A) π/4

B) π/2

C) 0

D) -π/2

6 / 30

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

A) 2019

B) cheksiz ko’p

C) 0

D) 1

7 / 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) 25

B) 32

C) 30

D) 36

8 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) πn/3, n€Ζ

C) π/2+πn, n€Ζ

D) πn, n€Ζ

9 / 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) 40

B) 54

C) 36

D) 50

10 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 1

B) 2

C) 3

D) 0

11 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 100π

B) 56π

C) 72π

D) 96π

12 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 12

C) 6

D) 35/4

13 / 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) 4π/3

B) 3π/2

C) 2π/3

D) 3π/4

14 / 30

Hisoblang.

A) 2/17

B) 2/34

C) 17/34

D) 15/34

15 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (-∞;0)v(2;∞)

B) (2;∞)

C) (0,2)

D) (-∞;0])v[2;∞)

16 / 30

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

A) o’zaro perpendikulyar

B) aniqlab bo’lmaydi

C) o’zaro parallel

D) ayqash

17 / 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) 3S

C) 2S

D) 0,5S

18 / 30

Soddalashtiring.

A) 2018

B) 2019

C) a+1

D) 2018a/a+1

19 / 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) 6

B) 4

C) 10

D) 5

20 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 4

B) 1

C) 3

D) 2

21 / 30

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

A) π

B) 2π

C) 2π/3

D) π/2

22 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft ham emas, toq ham emas funksiya

B) juft funksiya

C) toq funksiya

D) bunday funksiya mavjud emas

23 / 30

ifodaning qiymatini toping.

A) -2

B) -0,5

C) 0,5

D) 0

24 / 30

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

A) (-∞;6])v[6;∞)

B) 6

C) (2;∞)

D) (-∞;6)

25 / 30

A) √6

B) 2

C) 1

D) 0

26 / 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) 2 yoki 50

B) 10

C) 10 yoki 50

D) 50

27 / 30