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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 10

B) 7

C) 8

D) 6

2 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6900

B) 7000

C) 7200

D) 6200

3 / 30

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

A) 32

B) 16

C) 24

D) 20

4 / 30

Hisoblang:

A) 3

B) 1

C) -1

D) 2

5 / 30

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

A) 3

B) 4

C) 7

D) 5

6 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±6

C) ±;±6

D) -1;-6

7 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (1;2)

C) [1;2]

D) (-∞;1]v[2;∞)

8 / 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) 56π

B) 96π

C) 100π

D) 72π

9 / 30

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

A) [1;6]

B) [2;4]v{2}v[3;∞)

C) (-∞;-6]v{2}v[12;∞)

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

10 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 6

B) 5

C) 4

D) 8

11 / 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) √7

C) 2

D) √37

12 / 30

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

A) 4

B) 2

C) 3

D) 1

13 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π/3

B) 3π

C) 2π

D) 4π

14 / 30

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

A) teng tomonli uchburchak

B) o’tkir burchakli uchburchak

C) o’tmas burchakli uchburchak

D) to’gri burchakli uchburchak

15 / 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) 147

B) 228

C) 231

D) 150

16 / 30

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

A) √2

B) 2

C) 2√2

D) 4

17 / 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) 50

B) 2 yoki 50

C) 10

D) 10 yoki 50

18 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/3

B) -1/2

C) 2/5

D) 1/2

19 / 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) 6

B) 3

C) √32

D) √37

20 / 30

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

A) 2π/3

B) 2π

C) π/2

D) π

21 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 139/41

C) -139/41

D) 140/41

22 / 30

ifodaning qiymatini toping.

A) -2

B) -0,5

C) 0

D) 0,5

23 / 30

Tengsizlikni yeching.

A) (-4;2)v(2;3)

B) (-3;2)

C) (-3;2)v(2;4)

D) (2;4)

24 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 1

B) 1/√2

C) 0,5

D) 1/√3

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) 2S

B) 3S

C) 0,5S

D) 4S

26 / 30

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

A) 28

B) 20

C) 30

D) 25

27 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

28 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro perpendikulyar

B) o’zaro kesishadi

C) ayqash to’gri chiziqlar

D) o’zaro parallel

29 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (-∞;2)v(2;∞)

B) (-∞;2)

C) (2;∞)

D) (∞;∞)

30 / 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) 4π/3

B) 3π/4

C) 3π/2

D) 2π/3