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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 36

C) 50

D) 54

2 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) π/2+πn, n€Ζ

C) πn, n€Ζ

D) πn/3, n€Ζ

3 / 30

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

A) 3π

B) 12π

C) 2√3π

D) 4√3π

4 / 30

Soddalashtiring. (0<m<7)

A) m

B) 2m-7

C) 7-2m

D) 7

5 / 30

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

A) abc

B) 1

C) ab

D) ab/c

6 / 30

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

A) 47

B) 18

C) 120

D) 60

7 / 30

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

A) 1

B) 1/2

C) 1/6

D) 1,2

8 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6200

B) 6000

C) 6300

D) 6100

9 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 2/5

B) 1/2

C) 1/3

D) -1/2

10 / 30

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

A) 6

B) 4

C) 8

D) 12

11 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) to`g`ri burchakli uchburchak

B) teng yonli uchburchak

C) ixtiyoriy uchburchak

D) muntazam uchburchak

12 / 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) 1900

B) 2100

C) 2200

D) 2000

13 / 30

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

A) 4

B) 3

C) 5

D) 6

14 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

15 / 30

integralning qiymatini toping.

A) 0

B) π/2

C) -π/2

D) π/4

16 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) (-∞;2)

C) [2;∞)

D) (2;∞)

17 / 30

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

A) √46

B) 10

C) 12

D) 11

18 / 30

Hisoblang:

A) 1

B) 2

C) -1

D) 3

19 / 30

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

A) 48√3

B) 67,5

C) 67,5√3

D) 135√3/4

20 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 5√3+3/3

B) 3√3+1/5

C) 2√2/3

D) 3√2+2/4

21 / 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) 231

B) 147

C) 228

D) 150

22 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 150/41

C) 140/41

D) 139/41

23 / 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) 4

D) 8

24 / 30

Hisoblang

A) -1

B) 1

C) 0

D) 2

25 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) teng tomonli uchburchak

B) o’tkir burchakli uchburchak

C) o’tmas burchakli uchburchak

D) to’gri burchakli uchburchak

26 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 64

D) 80

27 / 30

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

A) o’zaro parallel

B) o’zaro perpendikulyar

C) aniqlab bo’lmaydi

D) ayqash

28 / 30

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

A) {-1;3}

B) {1;2}

C) {-1;2}

D) {2;4}

29 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) √32

B) 3

C) 6

D) √37

30 / 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) 10

B) 24

C) 14

D) 12