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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 2

B) 3

C) 1, 2

D) 1, 3

2 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) 6

C) 12

D) -12

3 / 30

Hisoblang

A) 2

B) 1

C) -1

D) 0

4 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 10

B) 7

C) 9

D) 6

5 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 139/41

C) -139/41

D) 140/41

6 / 30

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

A) (2;∞)

B) (-∞;6)

C) (-∞;6])v[6;∞)

D) 6

7 / 30

A) 0

B) √6

C) 2

D) 1

8 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1, 3

C) 2, 3

D) 1,4

9 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 64√2π/3

B) (5√3+3)π/3

C) 8√2π/5

D) 3√2π/4

10 / 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) √37

B) bunday to’gri to’rtburchak mavjud emas

C) 2

D) √7

11 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 3

C) 4

D) 5

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) 1

B) 4

C) 2

D) 3

13 / 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√3

B) 3√3

C) 2√5

D) 4

14 / 30

Soddalashtiring. (0<m<7)

A) 7

B) m

C) 2m-7

D) 7-2m

15 / 30

Hisoblang

A) 2√3

B) 3√3

C) √3

D) 1

16 / 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) 4

B) 10

C) 5

D) 6

17 / 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) 8

D) 4

18 / 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) 4S

B) 3S

C) 0,5S

D) 2S

19 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 5

B) 4

C) 6

D) 7

20 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 54

B) 52√3

C) 48√3

D) 108

21 / 30

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

A) 112,5°

B) 100°

C) 113°

D) 113,5°

22 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4680

B) 4760

C) 4716

D) 4720

23 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 4π

B) 2π/3

C) 3π

D) 2π

24 / 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) 10 yoki 50

C) 2 yoki 50

D) 10

25 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 2

B) 1

C) 3

D) 4

26 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 6 π

B) 10 π

C) 7 π

D) 12π

27 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 25

C) 30

D) 32

28 / 30

tenglamalar sistemasini yeching

A) (-4;-4)

B) (4;–4)

C) (-4;4)

D) (4;4)

29 / 30

Tengsizlikni yeching.

A) (-3;2)

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

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

D) (2;4)

30 / 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) 90°

B) 30°

C) 60°

D) 72°