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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [-2;4]v{6}

B) [1;6]

C) (-∞;-6]v{2}v[12;∞)

D) [2;4]v{2}v[3;∞)

2 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 10

B) 11

C) 9

D) 12

3 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 2

B) aniqlab bo’lmaydi

C) 374389

D) 412967

4 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 25

C) 30

D) 32

5 / 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) 100π

B) 72π

C) 96π

D) 56π

6 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -14

B) -12

C) -4

D) -10

7 / 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

8 / 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) 231

B) 150

C) 228

D) 147

9 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 1

B) 2019

C) 0

D) cheksiz ko’p

10 / 30

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

A) (512-1/2⁻⁹)°

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

C) ⁴ᴷ⁺³√-√2k+1

D) ²ᴷ⁺⁴v2k+1/k²+1

11 / 30

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

A) 10 π

B) 6 π

C) 7 π

D) 12π

12 / 30

A) 2

B) 5

C) 3

D) 1

13 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 4

B) 2

C) 2√2

D) √2

14 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 8

B) 12

C) 4

D) 6

15 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) bunday funksiya mavjud emas

B) juft funksiya

C) toq funksiya

D) juft ham emas, toq ham emas funksiya

16 / 30

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

A) 2

B) 3

C) 1

D) 4

17 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 3

C) 5

D) 6

18 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 10

B) 4

C) 6

D) 5

19 / 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’tmas burchakli uchburchak

D) o’tkir burchakli uchburchak

20 / 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>a>c>d>e

C) b>c>a>d>e

D) a>b>c>d>e

21 / 30

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

A) (-∞;6)

B) 6

C) (-∞;6])v[6;∞)

D) (2;∞)

22 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) x=y/3=z/2

B) -x-y+z=0

C) 2x+3y+z=0

D) x-1/2=y-2/3=z-3/4

23 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 24

B) 32

C) 20

D) 16

24 / 30

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

A) 10/27

B) -10/3

C) 10/3

D) -10/27

25 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 64√2π/3

B) 3√2π/4

C) 8√2π/5

D) (5√3+3)π/3

26 / 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

27 / 30

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

A) [cos2;1]

B) [0;1]

C) [-1;1]

D) [0;cos2]

28 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 12π

B) 2√3π

C) 3π

D) 4√3π

29 / 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) 8

C) 6

D) 10

30 / 30

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

A) 48√3

B) 108

C) 54

D) 52√3