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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 222222222222

B) 22222222220

C) 2222222175

D) 222220175

2 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6200

B) 6900

C) 7200

D) 7000

3 / 30

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

A) 10/27

B) 10/3

C) -10/27

D) -10/3

4 / 30

ifodaning qiymatini toping.

A) -2

B) -0,5

C) 0

D) 0,5

5 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 18

B) 16

C) 17

D) 14

6 / 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) bunday to’gri to’rtburchak mavjud emas

C) √7

D) √37

7 / 30

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

A) 10

B) 12

C) √46

D) 11

8 / 30

A) 3

B) 5

C) 2

D) 1

9 / 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/√2

C) 1

D) 0,5

10 / 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) 12

B) 8

C) 4

D) 16

11 / 30

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

A) √2

B) √3

C) 1

D) 2

12 / 30

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

A) √3/2

B) √5/2

C) 1,5

D) 1

13 / 30

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

A) e⁵⁰⁵⁰

B) e⁻⁴⁹⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

14 / 30

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

A) 2

B) 3

C) 1

D) 5

15 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;-6

C) ±6

D) -1;6

16 / 30

Hisoblang

A) 2√3

B) 3√3

C) 1

D) √3

17 / 30

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

A) [cos2;1]

B) [0;cos2]

C) [-1;1]

D) [0;1]

18 / 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) 30

B) 15

C) 12

D) 25

19 / 30

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

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (-∞;2)

D) (∞;∞)

20 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 2

B) 0

C) 3

D) 1

21 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) (-∞;1]v[2;∞)

C) (-∞;1)v(2;∞)

D) [1;2]

22 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1+2cosα/4sin²)

B) πa²/4cos²α

C) πa²/4sin²α

D) πa²(1-2sinα/4sin²)

23 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) 7-2m

C) m

D) 7

24 / 30

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

A) 6

B) 7

C) 9

D) 10

25 / 30

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

A) 7

B) 4

C) 6

D) 5

26 / 30

Tengsizlik nechta butun yechimga ega?

A) 4

B) 1

C) cheksiz ko’p

D) 3

27 / 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)

28 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 7

B) 6

C) 8

D) 10

29 / 30

tenglamalar sistemasini yeching