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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

218 Ko'rishlar 1 izoh

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 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

2 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 3, 4

C) 2, 3

D) 1,4

3 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 10

B) √46

C) 11

D) 12

4 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,5

B) -1

C) -0,75

D) -0,25

5 / 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) 3√3

B) 4

C) 2√3

D) 2√5

6 / 30

Hisoblang

A) 2√3

B) √3

C) 3√3

D) 1

7 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 5/24

B) 5/720

C) 6/720

D) 1/60

8 / 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) 32

B) 30

C) 25

D) 36

9 / 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) 2

B) √7

C) bunday to’gri to’rtburchak mavjud emas

D) √37

10 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁴⁹⁵⁰

B) e⁴⁹⁵⁰

C) e⁻⁵⁰⁵⁰

D) e⁵⁰⁵⁰

11 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(2cos2x)

B) 4sin2x*cos(cos2x)

C) -4sin2x*cos(cos2x)

D) 4sin2x*cos(2cos2x)

12 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) ±6

C) -1;-6

D) -1;6

13 / 30

sonning oxirgi raqamini toping.

A) 4

B) 6

C) 8

D) 2

14 / 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) 60°

B) 90°

C) 72°

D) 30°

15 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 0

B) 2

C) 1

D) 3

16 / 30

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

A) ²ᴷ⁺⁴v2k+1/k²+1

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

C) (512-1/2⁻⁹)°

D) ⁴ᴷ⁺³√-√2k+1

17 / 30

A) 2

B) √6

C) 1

D) 0

18 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 0,5

B) 1

C) 2

D) 0

19 / 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) 10

B) 24

C) 12

D) 14

20 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x-1/x+4|+c

B) ln(|x+4*|x-1|)+c

C) ln(|x+4+|x-1|)+c

D) ln|x+4/x-1|+c

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) 4

B) 12

C) 16

D) 8

22 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 150

B) 147

C) 228

D) 231

23 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) -139/41

C) 139/41

D) 140/41

24 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) π/2+πn, n€Ζ

C) πn/3, n€Ζ

D) πn, n€Ζ

25 / 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) 10

B) 4

C) 5

D) 6

26 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?