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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) {-1;2}

B) {2;4}

C) {1;2}

D) {-1;3}

2 / 30

sistemada xy ning qiymatini toping.

A) 64

B) 60

C) 75

D) 80

3 / 30

ifodaning qiymatini toping.

A) -0,5

B) -2

C) 0

D) 0,5

4 / 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)

5 / 30

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

A) 2222222175

B) 222220175

C) 222222222222

D) 22222222220

6 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (1;2)

C) (-∞;1)v(2;∞)

D) (-∞;1]v[2;∞)

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) 6

B) 8

C) 10

D) 7

8 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2√2

B) √2

C) 2

D) 4

9 / 30

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

A) √2

B) 2

C) √3

D) 1

10 / 30

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

A) -4

B) -14

C) -10

D) -12

11 / 30

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

A) 6,25% ga ortadi

B) 6,25% ga kamayadi

C) o‘zgarmaydi

D) 2,5% ga ortadi

12 / 30

integralning qiymatini toping.

A) -π/2

B) π/4

C) 0

D) π/2

13 / 30

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

A) (0,2)

B) (-∞;0)v(2;∞)

C) (2;∞)

D) (-∞;0])v[2;∞)

14 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 96π

B) 72π

C) 100π

D) 56π

15 / 30

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

A) ab

B) ab/c

C) abc

D) 1

16 / 30

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

A) x=y/3=z/2

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

C) -x-y+z=0

D) 2x+3y+z=0

17 / 30

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

A) o’zaro parallel

B) ayqash

C) o’zaro perpendikulyar

D) aniqlab bo’lmaydi

18 / 30

Soddalashtiring.

A) 2018

B) 2018a/a+1

C) 2019

D) a+1

19 / 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) 4S

B) 0,5S

C) 3S

D) 2S

20 / 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) 5/720

B) 1/60

C) 5/24

D) 6/720

21 / 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) 25

C) 36

D) 32

22 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 2

C) 3

D) 4

23 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (-3;2)v(2;4)

C) (2;4)

D) (-4;2)v(2;3)

24 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) √15

B) √5

C) 3

D) 2

25 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) 6

B) (-∞;6])v[6;∞)

C) (-∞;6)

D) (2;∞)

26 / 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.

A) 0,5

B) 1/√3

C) 1

D) 1/√2

27 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(lg x)

B) ln(lg x)

C) lg(ln x)

D) ln(ln x)

28 / 30

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

A) 11

B) 10

C) √46

D) 12

29 / 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 uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 90°

B) 72°

C) 60°

D) 30°

30 / 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) 25

B) 12

C) 15

D) 30