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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 3

B) 1

C) 2

D) 5

2 / 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) 5/24

B) 6/720

C) 1/60

D) 5/720

3 / 30

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

A) 3π

B) 12π

C) 4√3π

D) 2√3π

4 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 12π

B) 6 π

C) 7 π

D) 10 π

5 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 14

C) 12

D) 11

6 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 6

C) 35/4

D) 12

7 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 60°

B) 72°

C) 90°

D) 30°

8 / 30

Hisoblang

A) √3

B) 3√3

C) 1

D) 2√3

9 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) juft ham emas, toq ham emas funksiya

C) toq funksiya

D) bunday funksiya mavjud emas

10 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6900

B) 6200

C) 7200

D) 7000

11 / 30

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

A) o’zaro parallel

B) ayqash to’gri chiziqlar

C) o’zaro perpendikulyar

D) o’zaro kesishadi

12 / 30

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

A) abc

B) ab

C) 1

D) ab/c

13 / 30

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

A) 9

B) 10

C) 12

D) 11

14 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (3;–4)

C) (4;3)

D) (–4;3)

15 / 30

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

A) {1;2}

B) {-1;3}

C) {2;4}

D) {-1;2}

16 / 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) 25

C) 30

D) 36

17 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) [10;∞)

C) 1; 10

D) (-∞;1]

18 / 30

Tengsizlikni yeching.

A) 0

B) (0;+∞)

C) to'g'ri javob yo'q

D) (-1/³ √2 ;0)

19 / 30

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

A) 2

B) 1

C) 0

D) 3

20 / 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

21 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (2;∞)

B) (-∞;2)v(2;∞)

C) (-∞;2)

D) (∞;∞)

22 / 30

Tengsizlikni yeching.

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

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

C) (-3;2)

D) (2;4)

23 / 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) 50

B) 10 yoki 50

C) 10

D) 2 yoki 50

24 / 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

25 / 30

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

A) 24√5

B) 8√5

C) 32

D) 16

26 / 30

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

A) 2π/3

B) π/2

C) 2π

D) π

27 / 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) 2S

D) 3S

28 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) b>c>a>d>e

B) a>b>c>d>e

C) e>b>a>d>c

D) b>a>c>d>e

29 / 30

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

A) 32

B) 20

C) 16

D) 24

30 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 10

B) 7

C) 8

D) 6