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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

203 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 30

Tengsizlikni yeching.

A) 0

B) to'g'ri javob yo'q

C) (0;+∞)

D) (-1/³ √2 ;0)

2 / 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) 2S

B) 3S

C) 4S

D) 0,5S

3 / 30

sistemada xy ning qiymatini toping.

A) 64

B) 60

C) 80

D) 75

4 / 30

A) √6

B) 0

C) 1

D) 2

5 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 6

B) 4

C) 5

D) 3

6 / 30

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

A) a ning bunday qiymati yo’q

B) a=12

C) a≠5

D) a≠12

7 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 1, 2

B) 3

C) 2

D) 1, 3

8 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 4

B) 7

C) 5

D) 3

9 / 30

tenglamalar sistemasini yeching

A) (-4;-4)

B) (4;4)

C) (4;–4)

D) (-4;4)

10 / 30

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

A) [cos2;1]

B) [0;1]

C) [-1;1]

D) [0;cos2]

11 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -6

B) 6

C) 9

D) -3

12 / 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) 18

D) 6

13 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) -139/41

C) 140/41

D) 139/41

14 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 3√3+1/5

B) 5√3+3/3

C) 3√2+2/4

D) 2√2/3

15 / 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/2

B) 2π/3

C) 3π/4

D) 4π/3

16 / 30

A) 3

B) 5

C) 2

D) 1

17 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 10

C) 11

D) 12

18 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 32

B) 16

C) 8√5

D) 24√5

19 / 30

Soddalashtiring.

A) 2019

B) 2018a/a+1

C) 2018

D) a+1

20 / 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) 147

B) 150

C) 231

D) 228

21 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) [10;∞)

B) (-∞;1]

C) (-∞;1]v[10;∞)

D) 1; 10

22 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 35/4

C) 12

D) 6

23 / 30

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

A) 12

B) √46

C) 10

D) 11

24 / 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) 32

B) 36

C) 25

D) 30

25 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) x-1/2=y-2/3=z-3/4

B) 2x+3y+z=0

C) x=y/3=z/2

D) -x-y+z=0

26 / 30

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

A) 32

B) 42

C) 36

D) 38

27 / 30

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

A) aniqlab bo’lmaydi

B) o’zaro perpendikulyar

C) ayqash

D) o’zaro parallel

28 / 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) 96π

D) 72π

29 / 30

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