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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

221 Ko'rishlar 1 izoh

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) 12

C) -12

D) 6

2 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/3

B) 2/5

C) 1/2

D) -1/2

3 / 30

Hisoblang

A) -1

B) 1

C) 2

D) 0

4 / 30

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

A) (0,2)

B) (-∞;0)v(2;∞)

C) (-∞;0])v[2;∞)

D) (2;∞)

5 / 30

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

A) 6100

B) 6200

C) 6000

D) 6300

6 / 30

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

A) b>c>a>d>e

B) b>a>c>d>e

C) e>b>a>d>c

D) a>b>c>d>e

7 / 30

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

A) 3

B) 5

C) 7

D) 4

8 / 30

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

A) 3

B) 1

C) 0

D) 2

9 / 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/2

B) 4π/3

C) 3π/4

D) 2π/3

10 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 4

B) 8

C) 12

D) 16

11 / 30

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

A) 8

B) 4

C) 6

D) 12

12 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 10

B) 6

C) 4

D) 5

13 / 30

sistemada xy ning qiymatini toping.

A) 75

B) 60

C) 80

D) 64

14 / 30

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

A) 9

B) 12

C) 10

D) 11

15 / 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) 30

B) 25

C) 15

D) 12

16 / 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) 1/√2

B) 1

C) 1/√3

D) 0,5

17 / 30

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

A) -10

B) -14

C) -12

D) -4

18 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (-∞;2)v(2;∞)

C) (-∞;2)

D) (2;∞)

19 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) [10;∞)

C) (-∞;1]

D) (-∞;1]v[10;∞)

20 / 30

ifodaning qiymatini toping.

A) 0,5

B) -0,5

C) -2

D) 0

21 / 30

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

A) ab

B) ab/c

C) 1

D) abc

22 / 30

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

A) ⁴ᴷ⁺³√-√2k+1

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

C) ²ᴷ⁺⁴v2k+1/k²+1

D) (512-1/2⁻⁹)°

23 / 30

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

A) 1, 3

B) 3

C) 1, 2

D) 2

24 / 30

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

A) 4sin2x*cos(cos2x)

B) 4sin2x*cos(2cos2x)

C) -4sin2x*cos(cos2x)

D) -4sin2x*cos(2cos2x)

25 / 30

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

A) √46

B) 12

C) 11

D) 10

26 / 30

integralning qiymatini toping.

A) -π/2

B) 0

C) π/4

D) π/2

27 / 30

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

A) o’zaro parallel

B) o’zaro kesishadi

C) o’zaro perpendikulyar

D) ayqash to’gri chiziqlar

28 / 30

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

A) 22222222220

B) 2222222175

C) 222222222222

D) 222220175

29 / 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) 10

B) 14

C) 12

D) 24

30 / 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) 7

B) 8

C) 6

D) 10