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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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

2 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;4)

C) (-4;-4)

D) (4;4)

3 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±6

B) ±;±6

C) -1;-6

D) -1;6

4 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (–4;3)

C) (3;–4)

D) (4;–3)

5 / 30

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

A) a>b>c>d>e

B) b>c>a>d>e

C) e>b>a>d>c

D) b>a>c>d>e

6 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 222222222222

B) 22222222220

C) 2222222175

D) 222220175

7 / 30

Hisoblang

A) 0

B) 1

C) 2

D) -1

8 / 30

sonning oxirgi raqamini toping.

A) 4

B) 6

C) 8

D) 2

9 / 30

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

A) 1

B) 3

C) 0

D) 2

10 / 30

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

A) (-∞;6)

B) (-∞;6])v[6;∞)

C) 6

D) (2;∞)

11 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/6

B) 1/2

C) 1,2

D) 1

12 / 30

Hisoblang

A) √3

B) 2

C) 1/2

D) √3/2

13 / 30

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

A) 2

B) 1

C) √3

D) √2

14 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) √15

B) 2

C) √5

D) 3

15 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) √2

B) 2√2

C) 4

D) 2

16 / 30

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

A) 11

B) 12

C) √46

D) 10

17 / 30

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

A) -x-y+z=0

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

C) x=y/3=z/2

D) 2x+3y+z=0

18 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 80

D) 64

19 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln|x-1/x+4|+c

C) ln(|x+4+|x-1|)+c

D) ln(|x+4*|x-1|)+c

20 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1, 3

C) 2, 3

D) 1,4

21 / 30

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

A) [-1;1]

B) [cos2;1]

C) [0;1]

D) [0;cos2]

22 / 30

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

A) 6

B) 3

C) 5

D) 4

23 / 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) 4S

C) 2S

D) 3S

24 / 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) 150

B) 147

C) 231

D) 228

25 / 30

Tengsizlik nechta butun yechimga ega?

A) 4

B) 1

C) 3

D) cheksiz ko’p

26 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 139/41

C) -139/41

D) 140/41

27 / 30

Hisoblang.

A) 2/17

B) 15/34

C) 2/34

D) 17/34

28 / 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) 4

C) 2√3

D) 3√3

29 / 30

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

A) abc

B) ab

C) ab/c

D) 1

30 / 30

Soddalashtiring. (0<m<7)