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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

2 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) x/25

C) 25/x

D) 2/x

3 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 113°

B) 112,5°

C) 113,5°

D) 100°

4 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5√3

B) 135√3/4

C) 67,5

D) 48√3

5 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6100

B) 6300

C) 6200

D) 6000

6 / 30

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

A) 2

B) 1

C) 3

D) 4

7 / 30

Tengsizlikni yeching.

A) 0

B) to'g'ri javob yo'q

C) (0;+∞)

D) (-1/³ √2 ;0)

8 / 30

ifodaning qiymatini toping.

A) -2

B) 0

C) 0,5

D) -0,5

9 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;-6

C) -1;6

D) ±6

10 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,5

C) -0,25

D) -0,75

11 / 30

Tengsizlik nechta butun yechimga ega?

A) cheksiz ko’p

B) 1

C) 3

D) 4

12 / 30

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

A) 4

B) 3

C) 5

D) 6

13 / 30

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

A) 120

B) 60

C) 47

D) 18

14 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (–4;3)

C) (4;–3)

D) (4;3)

15 / 30

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

A) 7 π

B) 10 π

C) 6 π

D) 12π

16 / 30

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

A) {1;2}

B) {-1;2}

C) {2;4}

D) {-1;3}

17 / 30

sonning oxirgi raqamini toping.

A) 4

B) 8

C) 2

D) 6

18 / 30

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

A) 4

B) 5

C) 3

D) 7

19 / 30

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

A) √5

B) 3

C) √15

D) 2

20 / 30

tenglamani yeching.

A) 2019

B) 2018

C) 2017

D) 0

21 / 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) 50

C) 54

D) 40

22 / 30

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

A) 108

B) 48√3

C) 54

D) 52√3

23 / 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) 108

B) 48

C) 54

D) 52

24 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) 4sin2x*cos(cos2x)

B) -4sin2x*cos(2cos2x)

C) 4sin2x*cos(2cos2x)

D) -4sin2x*cos(cos2x)

25 / 30

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

A) 3

B) 2

C) 1

D) 5

26 / 30

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

A) a≠5

B) a ning bunday qiymati yo’q

C) a≠12

D) a=12

27 / 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) 6

B) 7

C) 8

D) 10

28 / 30

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

A) 30

B) 25

C) 20

D) 28

29 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) [1;2]

C) (1;2)

D) (-∞;1]v[2;∞)

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) 100π

D) 56π