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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

127 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 3

C) 2

D) 5

2 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 12

C) 6

D) 35/4

3 / 30

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

A) 11

B) √46

C) 12

D) 10

4 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6200

B) 6000

C) 6300

D) 6100

5 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) to'g'ri javob yo'q

C) (0;+∞)

D) 0

6 / 30

sistemada xy ning qiymatini toping.

A) 75

B) 60

C) 80

D) 64

7 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 0,5S

B) 4S

C) 3S

D) 2S

8 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 2m-7

C) m

D) 7-2m

9 / 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) 108

C) 48√3

D) 52√3

10 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) (-∞;-6]v{2}v[12;∞)

B) [-2;4]v{6}

C) [1;6]

D) [2;4]v{2}v[3;∞)

11 / 30

ifodaning qiymatini toping.

A) 0,5

B) 0

C) -2

D) -0,5

12 / 30

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

A) 3π

B) 12π

C) 4√3π

D) 2√3π

13 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 108

B) 54

C) 52

D) 48

14 / 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) 16

C) 8

D) 12

15 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) 10/3

B) -10/3

C) -10/27

D) 10/27

16 / 30

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

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

B) -x-y+z=0

C) x=y/3=z/2

D) 2x+3y+z=0

17 / 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) to`g`ri burchakli uchburchak

B) ixtiyoriy uchburchak

C) muntazam uchburchak

D) teng yonli uchburchak

18 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) o‘zgarmaydi

B) 6,25% ga ortadi

C) 6,25% ga kamayadi

D) 2,5% ga ortadi

19 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (-∞;0)v(2;∞)

D) (0,2)

20 / 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) 0,5

B) 1/√3

C) 1

D) 1/√2

21 / 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) 4760

C) 4716

D) 4680

22 / 30

integralning qiymatini toping.

A) π/4

B) π/2

C) 0

D) -π/2

23 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (2;∞)

C) (-∞;2)

D) (-∞;2)v(2;∞)

24 / 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°

25 / 30

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

A) 8√5

B) 24√5

C) 16

D) 32

26 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro parallel

B) o’zaro kesishadi

C) ayqash to’gri chiziqlar

D) o’zaro perpendikulyar

27 / 30

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

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

28 / 30

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

A) e⁴⁹⁵⁰

B) e⁵⁰⁵⁰

C) e⁻⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

29 / 30

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

A) 1/2

B) 1,2

C) 1

D) 1/6

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) 72π

D) 96π