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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 3π/4

B) 4π/3

C) 3π/2

D) 2π/3

2 / 30

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

A) 8

B) 5

C) 6

D) 4

3 / 30

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

A) -4sin2x*cos(cos2x)

B) 4sin2x*cos(2cos2x)

C) -4sin2x*cos(2cos2x)

D) 4sin2x*cos(cos2x)

4 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 4

B) √2

C) 2

D) 2√2

5 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 4

B) 12

C) 8

D) 6

6 / 30

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

A) 113°

B) 112,5°

C) 113,5°

D) 100°

7 / 30

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

A) ayqash to’gri chiziqlar

B) o’zaro kesishadi

C) o’zaro perpendikulyar

D) o’zaro parallel

8 / 30

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

A) 7 π

B) 10 π

C) 12π

D) 6 π

9 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a=12

B) a≠5

C) a ning bunday qiymati yo’q

D) a≠12

10 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

11 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga kamayadi

B) 6,25% ga ortadi

C) 2,5% ga ortadi

D) o‘zgarmaydi

12 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 7200

B) 7000

C) 6200

D) 6900

13 / 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) 18

C) 3

D) 6

14 / 30

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

A) 10/27

B) -10/3

C) -10/27

D) 10/3

15 / 30

A) 5

B) 3

C) 1

D) 2

16 / 30

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

A) 1

B) √3

C) √2

D) 2

17 / 30

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

A) e⁵⁰⁵⁰

B) e⁻⁴⁹⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

18 / 30

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

A) 3

B) 2

C) 4

D) 1

19 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1)v(2;∞)

C) (1;2)

D) (-∞;1]v[2;∞)

20 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 12

B) 11

C) 10

D) 14

21 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [0;cos2]

B) [0;1]

C) [cos2;1]

D) [-1;1]

22 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) muntazam uchburchak

B) ixtiyoriy uchburchak

C) teng yonli uchburchak

D) to`g`ri burchakli uchburchak

23 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 25/x

C) 2-x

D) 2/x

24 / 30

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

A) {2;4}

B) {-1;2}

C) {-1;3}

D) {1;2}

25 / 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

B) 10 yoki 50

C) 50

D) 2 yoki 50

26 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±6

C) ±;±6

D) -1;-6

27 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) cheksiz ko’p

B) 1

C) 0

D) 2

28 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.