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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 10

B) 11

C) 12

D) √46

2 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) (-∞;-6]v{2}v[12;∞)

B) [2;4]v{2}v[3;∞)

C) [-2;4]v{6}

D) [1;6]

3 / 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) 0

C) 2

D) 1

4 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) o’zaro parallel

B) aniqlab bo’lmaydi

C) ayqash

D) o’zaro perpendikulyar

5 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 16

B) 24

C) 32

D) 20

6 / 30

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

A) 108

B) 52√3

C) 54

D) 48√3

7 / 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

8 / 30

tenglamani yeching.

A) 2019

B) 2017

C) 0

D) 2018

9 / 30

integralning qiymatini toping.

A) -π/2

B) π/2

C) 0

D) π/4

10 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (-∞;6])v[6;∞)

B) (2;∞)

C) 6

D) (-∞;6)

11 / 30

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

A) abc

B) ab

C) 1

D) ab/c

12 / 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) 1

C) 1/√2

D) 0,5

13 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (-7;-1)

B) (4; -3)

C) (7; 1)

D) (-7; 1)

14 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 4

B) 6

C) 5

D) 7

15 / 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) 18

B) 3

C) 6

D) 12

16 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -14

B) -4

C) -12

D) -10

17 / 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) 4S

B) 3S

C) 0,5S

D) 2S

18 / 30

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

A) (0,2)

B) (2;∞)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

19 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4720

B) 4760

C) 4716

D) 4680

20 / 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}

21 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (3;–4)

C) (–4;3)

D) (4;3)

22 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1, 3

C) 2, 3

D) 1,4

23 / 30

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

A) o’zaro perpendikulyar

B) o’zaro kesishadi

C) o’zaro parallel

D) ayqash to’gri chiziqlar

24 / 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

25 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 56π

B) 100π

C) 72π

D) 96π

26 / 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

27 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±6

C) -1;-6

D) ±;±6

28 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) m

C) 7-2m

D) 7

29 / 30

Hisoblang

A) 2

B) 1/2

C) √3/2

D) √3

30 / 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) 228

B) 147

C) 150

D) 231