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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 28

B) 25

C) 30

D) 20

2 / 30

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

A) 7

B) 3

C) 4

D) 5

3 / 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) (4; -3)

C) (7; 1)

D) (-7;-1)

4 / 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) √7

B) 2

C) √37

D) bunday to’gri to’rtburchak mavjud emas

5 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 400

B) 127

C) 375

D) 100

6 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) 150/41

C) -139/41

D) 139/41

7 / 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) 15

B) 12

C) 30

D) 25

8 / 30

sonning oxirgi raqamini toping.

A) 4

B) 8

C) 2

D) 6

9 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) [10;∞)

B) 1; 10

C) (-∞;1]

D) (-∞;1]v[10;∞)

10 / 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) 2√2/3

B) 5√3+3/3

C) 3√3+1/5

D) 3√2+2/4

11 / 30

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

A) 1/3

B) 2/5

C) 1/2

D) -1/2

12 / 30

Soddalashtiring.

A) 2018

B) 2018a/a+1

C) 2019

D) a+1

13 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (-∞;0)v(2;∞)

D) (0,2)

14 / 30

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

A) 2√3π

B) 3π

C) 12π

D) 4√3π

15 / 30

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

A) 3

B) 4

C) 2

D) 1

16 / 30

Hisoblang

A) 0

B) 2

C) 1

D) -1

17 / 30

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

A) 4

B) 3

C) 6

D) 5

18 / 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) 24

B) 14

C) 12

D) 10

19 / 30

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

A) e⁵⁰⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁻⁴⁹⁵⁰

D) e⁴⁹⁵⁰

20 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) 6

B) √32

C) 3

D) √37

21 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 32

B) 36

C) 38

D) 42

22 / 30

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

A) (2;∞)

B) (∞;∞)

C) (-∞;2)v(2;∞)

D) (-∞;2)

23 / 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) ixtiyoriy uchburchak

B) muntazam uchburchak

C) to`g`ri burchakli uchburchak

D) teng yonli uchburchak

24 / 30

A) 2

B) 3

C) 1

D) 5

25 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 5

B) 7

C) 6

D) 4

26 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 5

B) 4

C) 3

D) 6

27 / 30

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

A) -6

B) 9

C) 6

D) -3

28 / 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

29 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (–4;3)

C) (4;–3)

D) (4;3)

30 / 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) 2S

B) 3S

C) 0,5S

D) 4S