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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang

A) 2√3

B) 1

C) √3

D) 3√3

2 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) [2;∞)

C) (2;∞)

D) (-∞;2)v(2;∞)

3 / 30

A) √6

B) 0

C) 2

D) 1

4 / 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) 5√3+3/3

B) 3√3+1/5

C) 3√2+2/4

D) 2√2/3

5 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) π/3+πn, n€Ζ

C) πn, n€Ζ

D) π/2+πn, n€Ζ

6 / 30

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

A) 12

B) 10

C) √46

D) 11

7 / 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) 48√3

C) 108

D) 54

8 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 2100

B) 2200

C) 1900

D) 2000

9 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 140/41

C) 139/41

D) 150/41

10 / 30

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

A) e

B) 3e

C) 1

D) √2e

11 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 2

B) 0

C) 1

D) 0,5

12 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) 2/x

C) 25/x

D) x/25

13 / 30

A) 3

B) 5

C) 2

D) 1

14 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) -12

C) 12

D) 6

15 / 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;∞)

16 / 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) 3

B) 6

C) √32

D) √37

17 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±6

B) ±;±6

C) -1;-6

D) -1;6

18 / 30

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

A) e⁵⁰⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁴⁹⁵⁰

19 / 30

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

A) 7

B) 3

C) 4

D) 5

20 / 30

integralning qiymatini toping.

A) -π/2

B) 0

C) π/2

D) π/4

21 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) teng tomonli uchburchak

B) to’gri burchakli uchburchak

C) o’tkir burchakli uchburchak

D) o’tmas burchakli uchburchak

22 / 30

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

A) 9

B) 7

C) 6

D) 10

23 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (4; -3)

B) (-7;-1)

C) (-7; 1)

D) (7; 1)

24 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 10

B) 14

C) 11

D) 12

25 / 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) 2π/3

B) 3π/4

C) 3π/2

D) 4π/3

26 / 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√5

B) 3√3

C) 2√3

D) 4

27 / 30

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

A) 2

B) √2

C) 1

D) √3

28 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {-1;3}

B) {1;2}

C) {2;4}

D) {-1;2}

29 / 30

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

A) 2

B) 3

C) 0

D) 1

30 / 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) cheksiz ko’p

C) 1

D) 2