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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) (-∞;0)v(2;∞)

B) (2;∞)

C) (-∞;0])v[2;∞)

D) (0,2)

2 / 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) 12

D) 6

3 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 400

B) 375

C) 127

D) 100

4 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -1

C) -0,75

D) -0,5

5 / 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) 25

B) 30

C) 36

D) 32

6 / 30

sistemadan x+y ning qiymatini toping.

A) 6

B) -12

C) 35/4

D) 12

7 / 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) 4720

B) 4716

C) 4760

D) 4680

8 / 30

Soddalashtiring.

A) 2018

B) 2018a/a+1

C) a+1

D) 2019

9 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3,5

C) 4

D) 3

10 / 30

Hisoblang

A) -1

B) 2

C) 0

D) 1

11 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) 1,5

B) √3/2

C) 1

D) √5/2

12 / 30

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

A) abc

B) ab/c

C) 1

D) ab

13 / 30

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

A) {2;4}

B) {1;2}

C) {-1;3}

D) {-1;2}

14 / 30

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

A) 32

B) 24√5

C) 8√5

D) 16

15 / 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(2cos2x)

D) -4sin2x*cos(cos2x)

16 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) π/2

B) 2π/3

C) 2π

D) π

17 / 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) 5√3+3/3

B) 2√2/3

C) 3√2+2/4

D) 3√3+1/5

18 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 113,5°

B) 112,5°

C) 100°

D) 113°

19 / 30

Hisoblang

A) 1

B) 3√3

C) √3

D) 2√3

20 / 30

A) 2

B) 0

C) √6

D) 1

21 / 30

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

A) lg(ln x)

B) ln(ln x)

C) lg(lg x)

D) ln(lg x)

22 / 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

23 / 30

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

A) 4

B) 6

C) 7

D) 5

24 / 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

25 / 30

A) 5

B) 1

C) 2

D) 3

26 / 30

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

A) [-1;1]

B) [0;cos2]

C) [0;1]

D) [cos2;1]

27 / 30

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

A) e⁻⁴⁹⁵⁰

B) e⁵⁰⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

28 / 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) 5

B) 4

C) 6

D) 10

29 / 30

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