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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

132 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;3)

C) (3;–4)

D) (4;–3)

2 / 30

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

A) 222220175

B) 2222222175

C) 222222222222

D) 22222222220

3 / 30

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

A) 12

B) 8

C) 4

D) 6

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

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(cos2x)

B) -4sin2x*cos(2cos2x)

C) 4sin2x*cos(2cos2x)

D) 4sin2x*cos(cos2x)

6 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 5

C) 6

D) 3

7 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) (2;∞)

C) [2;∞)

D) (-∞;2)

8 / 30

Soddalashtiring. (0<m<7)

A) m

B) 7

C) 2m-7

D) 7-2m

9 / 30

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

A) 1

B) ab/c

C) abc

D) ab

10 / 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) 24

C) 10

D) 14

11 / 30

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

A) 3e

B) 1

C) e

D) √2e

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) 2100

B) 2200

C) 2000

D) 1900

13 / 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

14 / 30

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

A) 3

B) 4

C) 2

D) 1

15 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 5

B) 4

C) 6

D) 8

16 / 30

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

A) x=y/3=z/2

B) 2x+3y+z=0

C) -x-y+z=0

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

17 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [0;cos2]

C) [cos2;1]

D) [0;1]

18 / 30

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

A) (2;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (∞;∞)

19 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) bunday to’gri to’rtburchak mavjud emas

B) √7

C) 2

D) √37

20 / 30

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

A) 24

B) 20

C) 16

D) 32

21 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -14

B) -4

C) -12

D) -10

22 / 30

Hisoblang.

A) 15/34

B) 17/34

C) 2/17

D) 2/34

23 / 30

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

A) 2√3π

B) 12π

C) 3π

D) 4√3π

24 / 30

n ning qanday qiymatida ushbu

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

A) 11

B) 12

C) 14

D) 10

25 / 30

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

A) 0

B) 2

C) 3

D) 1

26 / 30

sonning oxirgi raqamini toping.

A) 6

B) 8

C) 2

D) 4

27 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 108

B) 54

C) 52

D) 48

28 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 1, 3

B) 1, 2

C) 3

D) 2

29 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4760

B) 4680

C) 4720

D) 4716

30 / 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) 2√2/3

B) 3√2+2/4

C) 5√3+3/3

D) 3√3+1/5