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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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

2 / 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

3 / 30

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

A) 36

B) 42

C) 32

D) 38

4 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {1;2}

B) {-1;3}

C) {2;4}

D) {-1;2}

5 / 30

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

A) 120

B) 60

C) 18

D) 47

6 / 30

Hisoblang

A) 1

B) 3√3

C) 2√3

D) √3

7 / 30

A) 2

B) 0

C) √6

D) 1

8 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) -139/41

C) 140/41

D) 139/41

9 / 30

Tengsizlikni yeching.

A) 0

B) (0;+∞)

C) to'g'ri javob yo'q

D) (-1/³ √2 ;0)

10 / 30

Tengsizlikni yeching.

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

B) (-3;2)

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

D) (2;4)

11 / 30

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

A) (2;∞)

B) (-∞;6)

C) (-∞;6])v[6;∞)

D) 6

12 / 30

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

A) √3

B) 2

C) √2

D) 1

13 / 30

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

A) o’zaro kesishadi

B) o’zaro parallel

C) ayqash to’gri chiziqlar

D) o’zaro perpendikulyar

14 / 30

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

A) 2

B) 3

C) 1

D) 4

15 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 4

C) 3

D) 5

16 / 30

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

A) (2;∞)

B) (-∞;0)v(2;∞)

C) (-∞;0])v[2;∞)

D) (0,2)

17 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (4;3)

C) (–4;3)

D) (3;–4)

18 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 3

C) 2

D) 3,5

19 / 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) 30°

C) 60°

D) 90°

20 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 375

B) 400

C) 100

D) 127

21 / 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) 4S

D) 0,5S

22 / 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) 0,5

C) 1/√3

D) 1

23 / 30

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

A) 17

B) 16

C) 14

D) 18

24 / 30

integralning qiymatini toping.

A) 0

B) π/4

C) π/2

D) -π/2

25 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 113°

B) 112,5°

C) 100°

D) 113,5°

26 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (2;∞)

27 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 4

C) 3

D) cheksiz ko’p

28 / 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) 24

B) 14

C) 12

D) 10

29 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 32

B) 24√5

C) 16

D) 8√5

30 / 30

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