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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

218 Ko'rishlar 1 izoh

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Matematika abituriyentlar uchun №1

1 / 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) 12

B) 18

C) 3

D) 6

2 / 30

sistemadan x+y ning qiymatini toping.

A) 6

B) 12

C) -12

D) 35/4

3 / 30

Hisoblang

A) 2√3

B) 3√3

C) 1

D) √3

4 / 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)

5 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 2√5

B) 3√3

C) 2√3

D) 4

6 / 30

bo’lsa, ni x orqali ifodalang.

A) 2-x

B) x/25

C) 2/x

D) 25/x

7 / 30

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

A) x=y/3=z/2

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

C) 2x+3y+z=0

D) -x-y+z=0

8 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 2,5% ga ortadi

B) o‘zgarmaydi

C) 6,25% ga kamayadi

D) 6,25% ga ortadi

9 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) o’tmas burchakli uchburchak

B) to’gri burchakli uchburchak

C) teng tomonli uchburchak

D) o’tkir burchakli uchburchak

10 / 30

Hisoblang.

A) 2/17

B) 2/34

C) 15/34

D) 17/34

11 / 30

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

A) [0;cos2]

B) [-1;1]

C) [0;1]

D) [cos2;1]

12 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 5

B) 2

C) 1

D) 3

13 / 30

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

A) 28

B) 20

C) 30

D) 25

14 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 18

B) 60

C) 120

D) 47

15 / 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

16 / 30

Hisoblang:

A) -1

B) 3

C) 2

D) 1

17 / 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

18 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) b>a>c>d>e

B) a>b>c>d>e

C) b>c>a>d>e

D) e>b>a>d>c

19 / 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) 50

B) 54

C) 40

D) 36

20 / 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) 96π

B) 56π

C) 72π

D) 100π

21 / 30

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

A) 6

B) (-∞;6])v[6;∞)

C) (-∞;6)

D) (2;∞)

22 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 1

B) 2019

C) cheksiz ko’p

D) 0

23 / 30

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

A) 4

B) 3

C) 5

D) 7

24 / 30

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

A) 42

B) 36

C) 32

D) 38

25 / 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) 5√3+3/3

B) 3√2+2/4

C) 2√2/3

D) 3√3+1/5

26 / 30

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