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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

A) 3

B) 1

C) 2

D) 5

2 / 30

tenglamani yeching.

A) 0

B) 2019

C) 2018

D) 2017

3 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 52√3

B) 108

C) 48√3

D) 54

4 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) 6

B) (-∞;6)

C) (-∞;6])v[6;∞)

D) (2;∞)

5 / 30

sonning oxirgi raqamini toping.

A) 2

B) 8

C) 6

D) 4

6 / 30

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

A) 4

B) 5

C) 6

D) 7

7 / 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) 10 yoki 50

D) 50

8 / 30

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

A) 8√5

B) 24√5

C) 32

D) 16

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) 36

B) 54

C) 50

D) 40

10 / 30

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

A) 47

B) 120

C) 18

D) 60

11 / 30

Soddalashtiring.

A) a+1

B) 2018a/a+1

C) 2019

D) 2018

12 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) 3e

B) √2e

C) e

D) 1

13 / 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) √32

B) √37

C) 3

D) 6

14 / 30

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

A) 22222222220

B) 222220175

C) 222222222222

D) 2222222175

15 / 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) 48

B) 54

C) 108

D) 52

16 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) cheksiz ko’p

C) 4

D) 3

17 / 30

Hisoblang.

A) 2/34

B) 2/17

C) 17/34

D) 15/34

18 / 30

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

A) 25

B) 30

C) 20

D) 28

19 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 5

C) 3

D) 4

20 / 30

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

A) 3

B) 5

C) 6

D) 4

21 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (-∞;0)v(2;∞)

22 / 30

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

A) π/2

B) 2π

C) 2π/3

D) π

23 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) 3

B) 2

C) √15

D) √5

24 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 3π/4

B) 4π/3

C) 2π/3

D) 3π/2

25 / 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) 2S

C) 4S

D) 3S

26 / 30

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

A) ln(ln x)

B) lg(ln x)

C) lg(lg x)

D) ln(lg x)

27 / 30

ifodaning qiymatini toping.

A) 0

B) -2

C) 0,5

D) -0,5

28 / 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) 4

B) 2√5

C) 2√3

D) 3√3

29 / 30

tenglamalar sistemasini yeching