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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang.

A) 2/17

B) 17/34

C) 15/34

D) 2/34

2 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) 6

B) -3

C) 9

D) -6

3 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (4;–3)

C) (3;–4)

D) (–4;3)

4 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) bunday funksiya mavjud emas

B) juft ham emas, toq ham emas funksiya

C) toq funksiya

D) juft funksiya

5 / 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) 2π/3

B) 3π/4

C) 4π/3

D) 3π/2

6 / 30

Hisoblang

A) √3

B) 3√3

C) 2√3

D) 1

7 / 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) 8

B) 6

C) 7

D) 10

8 / 30

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

A) 2

B) 1, 3

C) 3

D) 1, 2

9 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) cheksiz ko’p

B) 2

C) 0

D) 1

10 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 2-x

C) x/25

D) 25/x

11 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) ⁴ᴷ⁺³√-√2k+1

C) (512-1/2⁻⁹)°

D) 4k+1/1/8:7-1/56

12 / 30

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

A) 4

B) 2

C) 1

D) 3

13 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 35/4

C) 6

D) 12

14 / 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) muntazam uchburchak

B) ixtiyoriy uchburchak

C) teng yonli uchburchak

D) to`g`ri burchakli uchburchak

15 / 30

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

A) -10/3

B) 10/3

C) 10/27

D) -10/27

16 / 30

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

A) o’tkir burchakli uchburchak

B) teng tomonli uchburchak

C) to’gri burchakli uchburchak

D) o’tmas burchakli uchburchak

17 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)v(2;∞)

C) [2;∞)

D) (-∞;2)

18 / 30

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

A) {1;2}

B) {-1;2}

C) {-1;3}

D) {2;4}

19 / 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) x=y/3=z/2

C) -x-y+z=0

D) 2x+3y+z=0

20 / 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) 48

B) 108

C) 54

D) 52

21 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) 1,5

B) √3/2

C) √5/2

D) 1

22 / 30

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

A) 2π/3

B) 2π

C) π/2

D) π

23 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (-7; 1)

B) (7; 1)

C) (-7;-1)

D) (4; -3)

24 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 3

B) 7

C) 4

D) 5

25 / 30

A) √6

B) 0

C) 1

D) 2

26 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 3

C) 4

D) 5

27 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 28

C) 20

D) 30

28 / 30

Hisoblang:

A) 3

B) 1

C) 2

D) -1

29 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) aniqlab bo’lmaydi

B) 412967

C) 2

D) 374389

30 / 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 yoki 50

B) 10

C) 2 yoki 50

D) 50