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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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/4

B) 3π/2

C) 2π/3

D) 4π/3

2 / 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

B) 10 yoki 50

C) 2 yoki 50

D) 50

3 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a=12

B) a≠5

C) a≠12

D) a ning bunday qiymati yo’q

4 / 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) 150

B) 231

C) 147

D) 228

5 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 3

B) 6

C) 5

D) 4

6 / 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) 30

B) 36

C) 32

D) 25

7 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -0,5

C) -1

D) -0,75

8 / 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) 225

B) 50

C) 150

D) 60

9 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) bunday funksiya mavjud emas

C) toq funksiya

D) juft ham emas, toq ham emas funksiya

10 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) 1; 10

C) [10;∞)

D) (-∞;1]

11 / 30

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

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

B) 2x+3y+z=0

C) x=y/3=z/2

D) -x-y+z=0

12 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;-4)

C) (4;4)

D) (-4;4)

13 / 30

Tengsizlikni yeching.

A) (-3;2)

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

C) (2;4)

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

14 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 60

B) 120

C) 47

D) 18

15 / 30

Hisoblang

A) √3

B) √3/2

C) 1/2

D) 2

16 / 30

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

A) 9

B) 10

C) 7

D) 8

17 / 30

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

A) 36

B) 32

C) 38

D) 42

18 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;6

C) ±6

D) -1;-6

19 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 12

C) 14

D) 11

20 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 4

C) 3,5

D) 2

21 / 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)

22 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) [1;2]

C) (-∞;1)v(2;∞)

D) (1;2)

23 / 30

Hisoblang

A) -1

B) 1

C) 0

D) 2

24 / 30

ifodaning qiymatini toping.

A) 0

B) -0,5

C) 0,5

D) -2

25 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1,4

B) 1, 3

C) 2, 3

D) 3, 4

26 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 8√5

B) 24√5

C) 32

D) 16

27 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln(|x+4+|x-1|)+c

B) ln|x-1/x+4|+c

C) ln(|x+4*|x-1|)+c

D) ln|x+4/x-1|+c

28 / 30

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

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

B) [1;6]

C) [2;4]v{2}v[3;∞)

D) (-∞;-6]v{2}v[12;∞)

29 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 12

B) 14

C) 24

D) 10

30 / 30

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

A) 222222222222

B) 22222222220

C) 2222222175

D) 222220175