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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) (4; -3)

D) (7; 1)

2 / 30

Hisoblang

A) 3√3

B) √3

C) 2√3

D) 1

3 / 30

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

A) (0,2)

B) (-∞;0)v(2;∞)

C) (2;∞)

D) (-∞;0])v[2;∞)

4 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 2√3

B) 4

C) 3√3

D) 2√5

5 / 30

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

A) [0;cos2]

B) [cos2;1]

C) [0;1]

D) [-1;1]

6 / 30

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

A) 6

B) 8

C) 12

D) 4

7 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [-2;4]v{6}

B) [2;4]v{2}v[3;∞)

C) (-∞;-6]v{2}v[12;∞)

D) [1;6]

8 / 30

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

A) 1

B) 2

C) 4

D) 3

9 / 30

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

A) a>b>c>d>e

B) e>b>a>d>c

C) b>c>a>d>e

D) b>a>c>d>e

10 / 30

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

A) 2

B) 1, 2

C) 1, 3

D) 3

11 / 30

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

A) 25

B) 20

C) 28

D) 30

12 / 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) 1/60

B) 5/24

C) 5/720

D) 6/720

13 / 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

14 / 30

Hisoblang:

A) -1

B) 2

C) 3

D) 1

15 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 18

B) 14

C) 16

D) 17

16 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 12

B) 25

C) 15

D) 30

17 / 30

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

A) 38

B) 42

C) 32

D) 36

18 / 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) 2000

C) 1900

D) 2200

19 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 12

B) 3

C) 18

D) 6

20 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) 2/x

C) 25/x

D) x/25

21 / 30

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

A) π

B) 2π

C) π/2

D) 2π/3

22 / 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) 36

B) 32

C) 25

D) 30

23 / 30

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

A) 2√3π

B) 3π

C) 12π

D) 4√3π

24 / 30

ifodaning qiymatini toping.

A) 0

B) -0,5

C) 0,5

D) -2

25 / 30

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

A) ab/c

B) 1

C) abc

D) ab

26 / 30

Tengsizlikni yeching.

A) 0

B) to'g'ri javob yo'q

C) (-1/³ √2 ;0)

D) (0;+∞)

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) 2S

B) 0,5S

C) 4S

D) 3S

28 / 30

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

A) (512-1/2⁻⁹)°

B) ²ᴷ⁺⁴v2k+1/k²+1

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

D) ⁴ᴷ⁺³√-√2k+1

29 / 30

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

A) 8

B) 5

C) 4

D) 6

30 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.