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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 12

B) 11

C) √46

D) 10

2 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) -10/27

B) 10/27

C) -10/3

D) 10/3

3 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) [10;∞)

C) 1; 10

D) (-∞;1]v[10;∞)

4 / 30

integralning qiymatini toping.

A) 0

B) π/4

C) -π/2

D) π/2

5 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1+2cosα/4sin²)

B) πa²/4cos²α

C) πa²/4sin²α

D) πa²(1-2sinα/4sin²)

6 / 30

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

A) ayqash

B) aniqlab bo’lmaydi

C) o’zaro parallel

D) o’zaro perpendikulyar

7 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

8 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) 7-2m

C) m

D) 7

9 / 30

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

A) 2019

B) 1

C) cheksiz ko’p

D) 0

10 / 30

Soddalashtiring.

A) 2019

B) 2018a/a+1

C) a+1

D) 2018

11 / 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) 12

B) 16

C) 8

D) 4

12 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) 3e

B) √2e

C) e

D) 1

13 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 6

B) 12

C) 8

D) 4

14 / 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) 25

D) 32

15 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 3π

B) 2π

C) 2π/3

D) 4π

16 / 30

sonning oxirgi raqamini toping.

A) 4

B) 6

C) 2

D) 8

17 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) 6

C) 35/4

D) -12

18 / 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) 30°

D) 90°

19 / 30

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

A) 32

B) 42

C) 36

D) 38

20 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 12

C) 11

D) 14

21 / 30

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

A) (2;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (∞;∞)

22 / 30

A) 0

B) 1

C) √6

D) 2

23 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5√3

B) 135√3/4

C) 67,5

D) 48√3

24 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 4

C) 6

D) 5

25 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 9

B) 7

C) 10

D) 6

26 / 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) 2π/3

C) 3π/4

D) 4π/3

27 / 30

Hisoblang