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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) m

C) 2m-7

D) 7

2 / 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) 60°

C) 90°

D) 30°

3 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 0,5

B) 2

C) 0

D) 1

4 / 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) 108

B) 48

C) 54

D) 52

5 / 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) (-7;-1)

C) (7; 1)

D) (4; -3)

6 / 30

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

A) [2;4]v{2}v[3;∞)

B) [1;6]

C) (-∞;-6]v{2}v[12;∞)

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

7 / 30

Hisoblang

A) √3

B) 3√3

C) 2√3

D) 1

8 / 30

tenglamani yeching.

A) 2017

B) 2019

C) 0

D) 2018

9 / 30

n ning qanday qiymatida ushbu

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

A) 11

B) 10

C) 12

D) 14

10 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;4)

C) (4;4)

D) (-4;-4)

11 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 10

B) 8

C) 7

D) 9

12 / 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

13 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 6

C) 5

D) 4

14 / 30

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

A) a≠12

B) a ning bunday qiymati yo’q

C) a=12

D) a≠5

15 / 30

A) √6

B) 2

C) 1

D) 0

16 / 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) 6

D) 8

17 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (4;–3)

C) (4;3)

D) (–4;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) 10

B) 4

C) 6

D) 5

19 / 30

A) 1

B) 5

C) 2

D) 3

20 / 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

21 / 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) 3S

D) 4S

22 / 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}

23 / 30

Hisoblang.

A) 2/17

B) 17/34

C) 2/34

D) 15/34

24 / 30

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

A) 6

B) 8

C) 4

D) 5

25 / 30

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

A) 38

B) 36

C) 32

D) 42

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) 3

B) √37

C) 6

D) √32

27 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 3, 4

C) 2, 3

D) 1,4

28 / 30

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

A) (-∞;0])v[2;∞)

B) (0,2)

C) (-∞;0)v(2;∞)

D) (2;∞)

29 / 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) 375

B) 127

C) 100

D) 400

30 / 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) 150

B) 225

C) 50

D) 60