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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 3

C) 2

D) 3,5

2 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/2

B) 1,2

C) 1

D) 1/6

3 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 2200

B) 1900

C) 2000

D) 2100

4 / 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

B) 1/√2

C) 0,5

D) 1/√3

5 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,5

C) -0,75

D) -0,25

6 / 30

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

A) (-∞;0)v(2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (2;∞)

7 / 30

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

A) e⁻⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁴⁹⁵⁰

D) e⁵⁰⁵⁰

8 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) (-∞;1]v[10;∞)

C) [10;∞)

D) 1; 10

9 / 30

A) 0

B) 2

C) 1

D) √6

10 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π/3

B) 3π

C) 4π

D) 2π

11 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)v(2;∞)

C) (-∞;2)

D) [2;∞)

12 / 30

Hisoblang.

A) 17/34

B) 2/17

C) 15/34

D) 2/34

13 / 30

Hisoblang

A) √3/2

B) 1/2

C) √3

D) 2

14 / 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) 1/60

C) 5/720

D) 6/720

15 / 30

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

A) 6

B) 4

C) 5

D) 8

16 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (2;4)

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

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

17 / 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) (5√3+3)π/3

B) 8√2π/5

C) 3√2π/4

D) 64√2π/3

18 / 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) 6

C) 10

D) 5

19 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 4

B) 3

C) 5

D) 6

20 / 30

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

A) 1

B) ab

C) ab/c

D) abc

21 / 30

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

A) 52√3

B) 108

C) 54

D) 48√3

22 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 150/41

C) 139/41

D) 140/41

23 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 52

B) 54

C) 48

D) 108

24 / 30

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

A) ²ᴷ⁺⁴v2k+1/k²+1

B) ⁴ᴷ⁺³√-√2k+1

C) (512-1/2⁻⁹)°

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

25 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (–4;3)

C) (3;–4)

D) (4;–3)

26 / 30

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

A) √46

B) 12

C) 11

D) 10

27 / 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) 3

C) 2

D) 4

28 / 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) 0,5S

B) 2S

C) 4S

D) 3S

29 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 40

B) 36

C) 54

D) 50

30 / 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) 10 yoki 50

B) 10

C) 50

D) 2 yoki 50