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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

149 Ko'rishlar 1 izoh

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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) 0

C) 1

D) cheksiz ko’p

2 / 30

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

A) 18

B) 120

C) 60

D) 47

3 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) (-∞;1]v[10;∞)

C) [10;∞)

D) (-∞;1]

4 / 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) 2000

C) 1900

D) 2100

5 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 10

B) 8

C) 7

D) 6

6 / 30

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

A) -10/27

B) 10/27

C) 10/3

D) -10/3

7 / 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) 90°

C) 60°

D) 30°

8 / 30

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

A) 7

B) 9

C) 10

D) 6

9 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) πn, n€Ζ

C) π/2+πn, n€Ζ

D) π/3+πn, n€Ζ

10 / 30

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

A) abc

B) 1

C) ab

D) ab/c

11 / 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) 5

C) 6

D) 4

12 / 30

Hisoblang.

A) 15/34

B) 2/17

C) 17/34

D) 2/34

13 / 30

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

A) 10 π

B) 6 π

C) 12π

D) 7 π

14 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3,5

C) 3

D) 4

15 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 25/x

C) x/25

D) 2-x

16 / 30

sonning oxirgi raqamini toping.

A) 4

B) 8

C) 2

D) 6

17 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 412967

B) aniqlab bo’lmaydi

C) 2

D) 374389

18 / 30

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

A) {-1;2}

B) {1;2}

C) {-1;3}

D) {2;4}

19 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 12

B) 6

C) 3

D) 18

20 / 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) 4π/3

B) 3π/4

C) 2π/3

D) 3π/2

21 / 30

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

A) 2

B) 1

C) 3

D) 4

22 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 2

B) 1

C) 3

D) 5

23 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) (0;+∞)

C) 0

D) to'g'ri javob yo'q

24 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) √2e

B) e

C) 3e

D) 1

25 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 2222222175

B) 222222222222

C) 222220175

D) 22222222220

26 / 30

A) 1

B) 0

C) 2

D) √6

27 / 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/√3

B) 0,5

C) 1

D) 1/√2

28 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) to’gri burchakli uchburchak

B) o’tmas burchakli uchburchak

C) o’tkir burchakli uchburchak

D) teng tomonli uchburchak

29 / 30

ifodaning qiymatini toping.

A) -0,5

B) 0,5

C) -2

D) 0

30 / 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) 3√2π/4

C) 8√2π/5

D) (5√3+3)π/3