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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 3

C) 2

D) 5

2 / 30

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

A) (-∞;2)

B) (∞;∞)

C) (2;∞)

D) (-∞;2)v(2;∞)

3 / 30

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

A) 11

B) 9

C) 12

D) 10

4 / 30

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

A) 3

B) 2

C) 0

D) 1

5 / 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

6 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 8

B) 9

C) 10

D) 7

7 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) ±6

C) -1;-6

D) -1;6

8 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 0

B) 2019

C) cheksiz ko’p

D) 1

9 / 30

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

A) 6

B) 7

C) 5

D) 4

10 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 7-2m

C) m

D) 2m-7

11 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) juft ham emas, toq ham emas funksiya

C) juft funksiya

D) bunday funksiya mavjud emas

12 / 30

Hisoblang:

A) 2

B) 3

C) -1

D) 1

13 / 30

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

A) ayqash to’gri chiziqlar

B) o’zaro perpendikulyar

C) o’zaro kesishadi

D) o’zaro parallel

14 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1]v[2;∞)

C) (1;2)

D) (-∞;1)v(2;∞)

15 / 30

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

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

B) ⁴ᴷ⁺³√-√2k+1

C) ²ᴷ⁺⁴v2k+1/k²+1

D) (512-1/2⁻⁹)°

16 / 30

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

A) √46

B) 11

C) 12

D) 10

17 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;-4)

C) (4;4)

D) (-4;4)

18 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) 4sin2x*cos(2cos2x)

B) -4sin2x*cos(cos2x)

C) 4sin2x*cos(cos2x)

D) -4sin2x*cos(2cos2x)

19 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) (-∞;1]v[10;∞)

C) (-∞;1]

D) [10;∞)

20 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) √7

B) 2

C) bunday to’gri to’rtburchak mavjud emas

D) √37

21 / 30

integralning qiymatini toping.

A) -π/2

B) π/4

C) 0

D) π/2

22 / 30

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

A) o‘zgarmaydi

B) 6,25% ga ortadi

C) 6,25% ga kamayadi

D) 2,5% ga ortadi

23 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) x/25

C) 2-x

D) 2/x

24 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6000

B) 6300

C) 6100

D) 6200

25 / 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) 3√3+1/5

B) 2√2/3

C) 5√3+3/3

D) 3√2+2/4

26 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?