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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

125 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang

A) 1

B) 2

C) 0

D) -1

2 / 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) 2π/3

B) 3π/2

C) 4π/3

D) 3π/4

3 / 30

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

A) 2

B) √2

C) 1

D) √3

4 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 60

B) 225

C) 150

D) 50

5 / 30

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

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

B) ⁴ᴷ⁺³√-√2k+1

C) (512-1/2⁻⁹)°

D) ²ᴷ⁺⁴v2k+1/k²+1

6 / 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) 50

C) 2 yoki 50

D) 10

7 / 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) 7

B) 6

C) 10

D) 8

8 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

9 / 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) 6900

C) 7000

D) 6200

10 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π

B) 4π

C) 3π

D) 2π/3

11 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 400

B) 375

C) 100

D) 127

12 / 30

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

A) {-1;3}

B) {-1;2}

C) {1;2}

D) {2;4}

13 / 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

14 / 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) ixtiyoriy uchburchak

B) to`g`ri burchakli uchburchak

C) teng yonli uchburchak

D) muntazam uchburchak

15 / 30

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

A) 12π

B) 7 π

C) 10 π

D) 6 π

16 / 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) 30

B) 36

C) 25

D) 32

17 / 30

ifodaning qiymatini toping.

A) 0,5

B) 0

C) -0,5

D) -2

18 / 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) 54

C) 50

D) 36

19 / 30

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

A) 112,5°

B) 100°

C) 113°

D) 113,5°

20 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 32

B) 38

C) 36

D) 42

21 / 30

Tengsizlikni yeching.

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

B) (2;4)

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

D) (-3;2)

22 / 30

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

A) 8

B) 4

C) 6

D) 5

23 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) 2/x

C) x/25

D) 2-x

24 / 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) √7

C) bunday to’gri to’rtburchak mavjud emas

D) 2

25 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (0;+∞)

C) 0

D) (-1/³ √2 ;0)

26 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) 6

B) 3

C) √37

D) √32

27 / 30

sonning oxirgi raqamini toping.

A) 2

B) 4

C) 8

D) 6

28 / 30

Soddalashtiring.

A) a+1

B) 2019

C) 2018a/a+1

D) 2018

29 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) π

B) 2π/3

C) π/2

D) 2π

30 / 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.