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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 18

B) 60

C) 47

D) 120

2 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) ixtiyoriy uchburchak

B) muntazam uchburchak

C) teng yonli uchburchak

D) to`g`ri burchakli uchburchak

3 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) ab

B) abc

C) 1

D) ab/c

4 / 30

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

A) 6200

B) 6000

C) 6300

D) 6100

5 / 30

Soddalashtiring.

A) a+1

B) 2018a/a+1

C) 2018

D) 2019

6 / 30

tenglamalar sistemasini yeching

A) (-4;-4)

B) (4;4)

C) (-4;4)

D) (4;–4)

7 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) m

C) 7

D) 2m-7

8 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 2, 3

C) 1,4

D) 1, 3

9 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) [2;∞)

C) (2;∞)

D) (-∞;2)

10 / 30

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

A) 10/27

B) -10/3

C) -10/27

D) 10/3

11 / 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) 225

B) 150

C) 50

D) 60

12 / 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

13 / 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) 374389

B) 412967

C) aniqlab bo’lmaydi

D) 2

14 / 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

15 / 30

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

A) -x-y+z=0

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

C) x=y/3=z/2

D) 2x+3y+z=0

16 / 30

sonning oxirgi raqamini toping.

A) 2

B) 4

C) 8

D) 6

17 / 30

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

A) 2π

B) π/2

C) π

D) 2π/3

18 / 30

Hisoblang.

A) 17/34

B) 2/17

C) 15/34

D) 2/34

19 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 16

B) 18

C) 14

D) 17

20 / 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) 5

B) 10

C) 4

D) 6

21 / 30

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

A) 1

B) √2

C) 2

D) √3

22 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 2-x

C) 25/x

D) 2/x

23 / 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) 2√3

C) 3√3

D) 4

24 / 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) [2;4]v{2}v[3;∞)

D) [1;6]

25 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

26 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 72°

B) 90°

C) 60°

D) 30°

27 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?