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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

131 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang

A) 2

B) √3

C) √3/2

D) 1/2

2 / 30

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

A) 222220175

B) 222222222222

C) 22222222220

D) 2222222175

3 / 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) 12

B) 25

C) 30

D) 15

4 / 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) 5√3+3/3

C) 3√2+2/4

D) 2√2/3

5 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 4

B) 1

C) 2

D) 3

6 / 30

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

A) teng tomonli uchburchak

B) o’tkir burchakli uchburchak

C) o’tmas burchakli uchburchak

D) to’gri burchakli uchburchak

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) √3

D) 2

8 / 30

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

A) 1,5

B) √5/2

C) √3/2

D) 1

9 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) π/2+πn, n€Ζ

C) πn, n€Ζ

D) π/3+πn, n€Ζ

10 / 30

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

A) 16

B) 32

C) 24√5

D) 8√5

11 / 30

ifodaning qiymatini toping.

A) 0,5

B) 0

C) -2

D) -0,5

12 / 30

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

A) (-∞;2)v(2;∞)

B) (-∞;2)

C) (∞;∞)

D) (2;∞)

13 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 12

C) 14

D) 11

14 / 30

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

A) 10

B) √46

C) 12

D) 11

15 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 50

B) 40

C) 36

D) 54

16 / 30

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

A) 12π

B) 3π

C) 2√3π

D) 4√3π

17 / 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/√3

B) 1

C) 0,5

D) 1/√2

18 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;-6

B) ±6

C) ±;±6

D) -1;6

19 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 10

B) 7

C) 9

D) 6

20 / 30

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

A) 1

B) ab/c

C) abc

D) ab

21 / 30

Hisoblang:

A) 2

B) 3

C) 1

D) -1

22 / 30

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

A) 2π/3

B) 2π

C) π/2

D) π

23 / 30

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

A) 4

B) 2

C) 2√2

D) √2

24 / 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) 135√3/4

C) 67,5

D) 67,5√3

25 / 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) (512-1/2⁻⁹)°

D) ²ᴷ⁺⁴v2k+1/k²+1

26 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 5/24

B) 5/720

C) 6/720

D) 1/60

27 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 54

B) 48√3

C) 52√3

D) 108

28 / 30

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

A) {2;4}

B) {-1;3}

C) {1;2}

D) {-1;2}

29 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 4π

B) 2π/3

C) 3π

D) 2π

30 / 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) 100π

B) 56π

C) 96π

D) 72π