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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 3π

B) 4√3π

C) 2√3π

D) 12π

2 / 30

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

A) 9

B) 10

C) 7

D) 8

3 / 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) 72π

B) 56π

C) 100π

D) 96π

4 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 2

C) 4

D) 3

5 / 30

A) 3

B) 2

C) 1

D) 5

6 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 6 π

B) 12π

C) 7 π

D) 10 π

7 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) to’gri burchakli uchburchak

B) teng tomonli uchburchak

C) o’tkir burchakli uchburchak

D) o’tmas burchakli uchburchak

8 / 30

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

A) 4

B) 2

C) √2

D) 2√2

9 / 30

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

A) -12

B) -4

C) -14

D) -10

10 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 14

B) 12

C) 10

D) 11

11 / 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√2+2/4

B) 2√2/3

C) 3√3+1/5

D) 5√3+3/3

12 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -0,5

C) -0,75

D) -1

13 / 30

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

A) -x-y+z=0

B) x=y/3=z/2

C) 2x+3y+z=0

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

14 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (3;–4)

C) (4;–3)

D) (–4;3)

15 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln(|x+4*|x-1|)+c

C) ln(|x+4+|x-1|)+c

D) ln|x-1/x+4|+c

16 / 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

17 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) bunday funksiya mavjud emas

C) juft ham emas, toq ham emas funksiya

D) toq funksiya

18 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 7

C) 2m-7

D) m

19 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5

B) 135√3/4

C) 67,5√3

D) 48√3

20 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 228

B) 150

C) 147

D) 231

21 / 30

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

A) e⁻⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁵⁰⁵⁰

D) e⁴⁹⁵⁰

22 / 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) 12

C) 24

D) 14

23 / 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) 4

C) 5

D) 6

24 / 30

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

A) ²ᴷ⁺⁴v2k+1/k²+1

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

C) (512-1/2⁻⁹)°

D) ⁴ᴷ⁺³√-√2k+1

25 / 30

A) √6

B) 0

C) 2

D) 1

26 / 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) 36

B) 30

C) 32

D) 25

27 / 30

Tengsizlik nechta butun yechimga ega?

A) cheksiz ko’p

B) 3

C) 1

D) 4

28 / 30

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

A) 2π/3

B) π

C) 2π

D) π/2

29 / 30

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

A) (-∞;0)v(2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (2;∞)

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

A) 30°

B) 72°

C) 90°

D) 60°