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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

210 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 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) 56π

B) 72π

C) 96π

D) 100π

2 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1,2

B) 1

C) 1/2

D) 1/6

3 / 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) 3π/4

C) 4π/3

D) 2π/3

4 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (-∞;1]v[2;∞)

C) (1;2)

D) [1;2]

5 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

6 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) m

C) 7-2m

D) 7

7 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) 1

B) 2

C) √2

D) √3

8 / 30

ifodaning qiymatini toping.

A) -2

B) 0

C) 0,5

D) -0,5

9 / 30

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

A) 1

B) cheksiz ko’p

C) 0

D) 2019

10 / 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) 6

B) 4

C) 10

D) 5

11 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3,5

C) 3

D) 4

12 / 30

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

A) 48√3

B) 67,5

C) 135√3/4

D) 67,5√3

13 / 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) 6300

C) 6200

D) 6000

14 / 30

Hisoblang

A) 1

B) 2√3

C) 3√3

D) √3

15 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 10

C) 12

D) 11

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

D) 2x+3y+z=0

17 / 30

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

A) lg(lg x)

B) ln(lg x)

C) lg(ln x)

D) ln(ln x)

18 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) e

B) 3e

C) 1

D) √2e

19 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) πn/3, n€Ζ

C) πn, n€Ζ

D) π/2+πn, n€Ζ

20 / 30

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

A) 100°

B) 113,5°

C) 112,5°

D) 113°

21 / 30

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

A) 8

B) 9

C) 7

D) 10

22 / 30

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

A) 2√3π

B) 3π

C) 4√3π

D) 12π

23 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 0

B) 2

C) 1

D) cheksiz ko’p

24 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 374389

B) 2

C) aniqlab bo’lmaydi

D) 412967

25 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 12

C) 35/4

D) 6

26 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) 9

B) 6

C) -6

D) -3

27 / 30

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

A) 8√5

B) 32

C) 24√5

D) 16

28 / 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) 150

B) 147

C) 231

D) 228

29 / 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) 2

B) √7

C) √37

D) bunday to’gri to’rtburchak mavjud emas

30 / 30

tenglamalar sistemasini yeching