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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 2019

B) cheksiz ko’p

C) 1

D) 0

2 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 30

B) 15

C) 25

D) 12

3 / 30

Tengsizlik nechta butun yechimga ega?

A) 4

B) cheksiz ko’p

C) 3

D) 1

4 / 30

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

A) (-∞;0])v[2;∞)

B) (-∞;0)v(2;∞)

C) (2;∞)

D) (0,2)

5 / 30

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

A) ab

B) abc

C) 1

D) ab/c

6 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (-7; 1)

B) (-7;-1)

C) (4; -3)

D) (7; 1)

7 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 0

B) 2

C) 1

D) cheksiz ko’p

8 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) [10;∞)

C) (-∞;1]v[10;∞)

D) 1; 10

9 / 30

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

A) 14

B) 16

C) 18

D) 17

10 / 30

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

A) √2

B) 2√2

C) 4

D) 2

11 / 30

Hisoblang

A) 1

B) -1

C) 2

D) 0

12 / 30

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

A) 7

B) 3

C) 4

D) 5

13 / 30

Hisoblang

A) √3

B) 1/2

C) √3/2

D) 2

14 / 30

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

A) 8

B) 6

C) 4

D) 5

15 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 150/41

C) 140/41

D) -139/41

16 / 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/√2

B) 1

C) 1/√3

D) 0,5

17 / 30

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

A) ln(lg x)

B) ln(ln x)

C) lg(ln x)

D) lg(lg x)

18 / 30

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

A) -14

B) -10

C) -12

D) -4

19 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (2;4)

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

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

20 / 30

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

A) 10/27

B) 10/3

C) -10/27

D) -10/3

21 / 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) 8

C) 12

D) 4

22 / 30

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

A) a=12

B) a ning bunday qiymati yo’q

C) a≠5

D) a≠12

23 / 30

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

A) 3

B) 4

C) 1

D) 2

24 / 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) √37

C) 2

D) √7

25 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 12

B) 14

C) 10

D) 24

26 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 6

C) 4

D) 5

27 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3,5

C) 4

D) 3

28 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) 0

C) to'g'ri javob yo'q

D) (0;+∞)

29 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga kamayadi

B) 2,5% ga ortadi

C) 6,25% ga ortadi

D) o‘zgarmaydi

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) 3π/4

B) 3π/2

C) 4π/3

D) 2π/3