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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

218 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 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) 60°

B) 30°

C) 90°

D) 72°

2 / 30

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

A) -3

B) 6

C) -6

D) 9

3 / 30

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

A) 4

B) 3

C) 7

D) 5

4 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 3√3

B) 4

C) 2√3

D) 2√5

5 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 139/41

C) 140/41

D) 150/41

6 / 30

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

A) 6

B) 10

C) 7

D) 9

7 / 30

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

A) o’tkir burchakli uchburchak

B) teng tomonli uchburchak

C) to’gri burchakli uchburchak

D) o’tmas burchakli uchburchak

8 / 30

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

A) (-∞;0)v(2;∞)

B) (2;∞)

C) (0,2)

D) (-∞;0])v[2;∞)

9 / 30

Hisoblang

A) 2

B) 1

C) -1

D) 0

10 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 4

B) 6

C) 5

D) 3

11 / 30

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

A) 1

B) 1,2

C) 1/6

D) 1/2

12 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 30

B) 28

C) 20

D) 25

13 / 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

14 / 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) e>b>a>d>c

C) b>a>c>d>e

D) a>b>c>d>e

15 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 3

C) cheksiz ko’p

D) 4

16 / 30

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

A) 9

B) 10

C) 11

D) 12

17 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 2m-7

C) m

D) 7

18 / 30

Hisoblang

A) 2√3

B) √3

C) 3√3

D) 1

19 / 30

Hisoblang:

A) 1

B) -1

C) 3

D) 2

20 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) teng yonli uchburchak

B) ixtiyoriy uchburchak

C) muntazam uchburchak

D) to`g`ri burchakli uchburchak

21 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (7; 1)

B) (-7;-1)

C) (4; -3)

D) (-7; 1)

22 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 6

B) 8

C) 4

D) 5

23 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 60

B) 150

C) 50

D) 225

24 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 80

C) 75

D) 64

25 / 30

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

A) 2/5

B) 1/3

C) 1/2

D) -1/2

26 / 30

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

A) [-1;1]

B) [cos2;1]

C) [0;1]

D) [0;cos2]

27 / 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) 5√3+3/3

C) 2√2/3

D) 3√3+1/5

28 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 2 yoki 50

B) 10

C) 50

D) 10 yoki 50

29 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 18

B) 120

C) 60

D) 47

30 / 30

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