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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Sin9x =4sin3x tenglamani yeching

A) π/2+πn, n€Ζ

B) πn/3, n€Ζ

C) πn, n€Ζ

D) π/3+πn, n€Ζ

2 / 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) 36

B) 32

C) 30

D) 25

3 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 7-2m

C) m

D) 2m-7

4 / 30

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

A) 36

B) 42

C) 38

D) 32

5 / 30

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

A) (0,2)

B) (2;∞)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

6 / 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) 6

C) √32

D) √37

7 / 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) 4716

B) 4720

C) 4760

D) 4680

8 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 10

B) 9

C) 12

D) 11

9 / 30

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

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

B) ²ᴷ⁺⁴v2k+1/k²+1

C) (512-1/2⁻⁹)°

D) ⁴ᴷ⁺³√-√2k+1

10 / 30

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

A) 1

B) √2e

C) 3e

D) e

11 / 30

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

A) -14

B) -10

C) -4

D) -12

12 / 30

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

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

B) [1;6]

C) (-∞;-6]v{2}v[12;∞)

D) [2;4]v{2}v[3;∞)

13 / 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) 8

C) 6

D) 10

14 / 30

Tengsizlikni yeching.

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

B) (2;4)

C) (-3;2)

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

15 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 135√3/4

B) 67,5

C) 67,5√3

D) 48√3

16 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 20

B) 28

C) 30

D) 25

17 / 30

tenglamalar sistemasini yeching

A) (4;4)

B) (-4;4)

C) (-4;-4)

D) (4;–4)

18 / 30

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

A) 6

B) 5

C) 4

D) 8

19 / 30

sistemada xy ning qiymatini toping.

A) 64

B) 80

C) 60

D) 75

20 / 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) 3S

B) 0,5S

C) 4S

D) 2S

21 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 0

B) 2

C) 3

D) 1

22 / 30

Soddalashtiring.

A) 2018a/a+1

B) 2018

C) 2019

D) a+1

23 / 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) √7

B) 2

C) √37

D) bunday to’gri to’rtburchak mavjud emas

24 / 30

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

A) 1

B) √2

C) √3

D) 2

25 / 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) 3

B) 12

C) 6

D) 18

26 / 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) 231

B) 150

C) 228

D) 147

27 / 30

sistemadan x+y+z ning qiymatini toping.