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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

227 Ko'rishlar 1 izoh

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) 4

C) cheksiz ko’p

D) 1

2 / 30

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

A) 3

B) 2

C) 1

D) 0

3 / 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) 4716

D) 4720

4 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (-∞;2)v(2;∞)

C) [2;∞)

D) (2;∞)

5 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) 25/x

C) 2/x

D) x/25

6 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6200

B) 6900

C) 7200

D) 7000

7 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (-∞;1]v[2;∞)

C) [1;2]

D) (1;2)

8 / 30

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

A) o’zaro parallel

B) o’zaro perpendikulyar

C) aniqlab bo’lmaydi

D) ayqash

9 / 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) 3

B) 18

C) 12

D) 6

10 / 30

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

A) 108

B) 48√3

C) 52√3

D) 54

11 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) 6

B) √37

C) √32

D) 3

12 / 30

tenglamani yeching.

A) 2017

B) 2019

C) 2018

D) 0

13 / 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

14 / 30

A) 5

B) 2

C) 3

D) 1

15 / 30

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

A) (-∞;2)v(2;∞)

B) (-∞;2)

C) (2;∞)

D) (∞;∞)

16 / 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) [1;6]

D) (-∞;-6]v{2}v[12;∞)

17 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 2

C) 3,5

D) 3

18 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 2

B) 4

C) 1

D) 3

19 / 30

Soddalashtiring.

A) 2018a/a+1

B) 2018

C) a+1

D) 2019

20 / 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/√2

C) 1

D) 1/√3

21 / 30

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

A) 10

B) √46

C) 11

D) 12

22 / 30

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

A) 4

B) 6

C) 8

D) 5

23 / 30

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

A) -14

B) -12

C) -10

D) -4

24 / 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) 5√3+3/3

C) 3√3+1/5

D) 3√2+2/4

25 / 30

ifodaning qiymatini toping.

A) -0,5

B) 0

C) 0,5

D) -2

26 / 30

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

A) (2;∞)

B) 6

C) (-∞;6])v[6;∞)

D) (-∞;6)

27 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 10

B) 9

C) 11

D) 12

28 / 30

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

A) [cos2;1]

B) [0;1]

C) [0;cos2]

D) [-1;1]

29 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 7

B) 6

C) 4

D) 5

30 / 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