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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

133 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang.

A) 2/17

B) 15/34

C) 2/34

D) 17/34

2 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) 7-2m

C) 7

D) m

3 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (–4;3)

C) (3;–4)

D) (4;–3)

4 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) to'g'ri javob yo'q

C) 0

D) (0;+∞)

5 / 30

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

A) -10/3

B) 10/3

C) 10/27

D) -10/27

6 / 30

A) 1

B) 0

C) 2

D) √6

7 / 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

8 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 5

B) 3

C) 4

D) 6

9 / 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) 40

B) 54

C) 50

D) 36

10 / 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)

11 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a≠5

B) a≠12

C) a ning bunday qiymati yo’q

D) a=12

12 / 30

ifodaning qiymatini toping.

A) -2

B) 0

C) -0,5

D) 0,5

13 / 30

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

A) 1,2

B) 1/6

C) 1

D) 1/2

14 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) e>b>a>d>c

B) b>c>a>d>e

C) b>a>c>d>e

D) a>b>c>d>e

15 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln(|x+4*|x-1|)+c

C) ln|x-1/x+4|+c

D) ln(|x+4+|x-1|)+c

16 / 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) 2√3

B) 2√5

C) 4

D) 3√3

17 / 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) 150

B) 225

C) 60

D) 50

18 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 6 π

B) 12π

C) 10 π

D) 7 π

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

B) 2

C) √7

D) √37

20 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 0

B) 2

C) 1

D) cheksiz ko’p

21 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 228

B) 147

C) 150

D) 231

22 / 30

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

A) π

B) 2π/3

C) 2π

D) π/2

23 / 30

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

A) 25

B) 20

C) 30

D) 28

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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 12

B) 30

C) 25

D) 15

25 / 30

tenglamani yeching.

A) 2017

B) 2018

C) 2019

D) 0

26 / 30

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

A) 1,5

B) 1

C) √3/2

D) √5/2

27 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) ⁴ᴷ⁺³√-√2k+1

C) (512-1/2⁻⁹)°

D) 4k+1/1/8:7-1/56

28 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 3

B) 1

C) 4

D) 2

29 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) 6

C) 35/4

D) -12

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) 96π

B) 72π

C) 56π

D) 100π