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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) o’tmas burchakli uchburchak

B) teng tomonli uchburchak

C) to’gri burchakli uchburchak

D) o’tkir burchakli uchburchak

2 / 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) 2x+3y+z=0

C) x=y/3=z/2

D) -x-y+z=0

3 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁵⁰⁵⁰

B) e⁴⁹⁵⁰

C) e⁵⁰⁵⁰

D) e⁻⁴⁹⁵⁰

4 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 54

B) 108

C) 48√3

D) 52√3

5 / 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) 374389

B) 2

C) aniqlab bo’lmaydi

D) 412967

6 / 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

7 / 30

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

A) 18

B) 16

C) 14

D) 17

8 / 30

integralning qiymatini toping.

A) -π/2

B) 0

C) π/4

D) π/2

9 / 30

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

A) 3

B) 1

C) 2

D) 4

10 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a ning bunday qiymati yo’q

B) a≠12

C) a≠5

D) a=12

11 / 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) 30

D) 15

12 / 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) 2 yoki 50

B) 50

C) 10 yoki 50

D) 10

13 / 30

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

A) (-∞;-6]v{2}v[12;∞)

B) [2;4]v{2}v[3;∞)

C) [1;6]

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

14 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) x/25

C) 2-x

D) 2/x

15 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 3

C) cheksiz ko’p

D) 4

16 / 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) 6/720

B) 1/60

C) 5/720

D) 5/24

17 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 2,5% ga ortadi

B) 6,25% ga ortadi

C) 6,25% ga kamayadi

D) o‘zgarmaydi

18 / 30

tenglamani yeching.

A) 0

B) 2019

C) 2018

D) 2017

19 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

20 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

21 / 30

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

A) -10

B) -14

C) -4

D) -12

22 / 30

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

A) 5

B) 4

C) 7

D) 3

23 / 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/4

B) 2π/3

C) 3π/2

D) 4π/3

24 / 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) 6

B) 3

C) 18

D) 12

25 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 3

C) 2

D) 4

26 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 24√5

B) 16

C) 8√5

D) 32

27 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro kesishadi

B) ayqash to’gri chiziqlar

C) o’zaro parallel

D) o’zaro perpendikulyar

28 / 30

sonning oxirgi raqamini toping.

A) 6

B) 8

C) 4

D) 2

29 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) √3

B) √2

C) 1

D) 2

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.