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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

210 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 60

B) 225

C) 50

D) 150

2 / 30

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

A) 2/5

B) 1/2

C) -1/2

D) 1/3

3 / 30

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

A) 2√3π

B) 12π

C) 3π

D) 4√3π

4 / 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

5 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 25/x

C) 2-x

D) x/25

6 / 30

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

A) 135√3/4

B) 67,5

C) 48√3

D) 67,5√3

7 / 30

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

A) 20

B) 32

C) 24

D) 16

8 / 30

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

A) -x-y+z=0

B) x=y/3=z/2

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

D) 2x+3y+z=0

9 / 30

Tengsizlikni yeching.

A) (2;4)

B) (-3;2)

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

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

10 / 30

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

A) 22222222220

B) 222220175

C) 2222222175

D) 222222222222

11 / 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

12 / 30

tenglamani yeching.

A) 2017

B) 2019

C) 0

D) 2018

13 / 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/2

B) 4π/3

C) 3π/4

D) 2π/3

14 / 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) 10

B) 2 yoki 50

C) 50

D) 10 yoki 50

15 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;–3)

C) (3;–4)

D) (4;3)

16 / 30

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

A) 2

B) √2

C) 4

D) 2√2

17 / 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) 2000

B) 2100

C) 2200

D) 1900

18 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -6

B) -3

C) 6

D) 9

19 / 30

integralning qiymatini toping.

A) π/2

B) π/4

C) 0

D) -π/2

20 / 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) 50

B) 40

C) 36

D) 54

21 / 30

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

A) ⁴ᴷ⁺³√-√2k+1

B) ²ᴷ⁺⁴v2k+1/k²+1

C) (512-1/2⁻⁹)°

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

22 / 30

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

A) 1

B) 4

C) 2

D) 3

23 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1,2

B) 1

C) 1/2

D) 1/6

24 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 16

B) 4

C) 12

D) 8

25 / 30

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

A) 1

B) 2019

C) cheksiz ko’p

D) 0

26 / 30

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