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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 35

B) 11

C) 4

D) 12

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 2

C) 3

D) 1

3 / 40

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) aniqlab bo‘lmaydi

B) 3

C) 2

D) 4

4 / 40

va bo'lsa x-y=?

A) 8

B) 9

C) 7

D) 5

5 / 40

Jaloliddin uyiga tezroq qaytish uchun qaysi yo’lni tanlash kerak.

A) To'rtinchi yo'l

B) Birinchi yo'l

C) Uchunchi yo'l

D) Ikkinchi yo'l

6 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x+2y-2=0

B) 3x+2y+2=0

C) 3x-2y-2=0

D) 3x-2y+2=0

7 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/3

B) 1/5

C) 4

D) 1/4

8 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13cosx-cos13x + C

B) 13sinx+sin13x + C

C) 13sinx-sin13x + C

D) -13cosx- cos13 x +C

9 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 114

B) 126

C) 108

D) 96

10 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 3

B) 9

C) 7

D) 1

11 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUK

B) 1-EKUB 2-EKUK 3-EKUK

C) 1-EKUB 2-EKUK 3-EKUB

D) 1-EKUB 2-EKUB 3-EKUB

12 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 20°

B) 10°

C) 30°

D) 40°

13 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 10

B) 16

C) 48/5

D) 64/5

14 / 40

Hisoblang?

A) 0,25

B) 2

C) 4

D) 0,5

15 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 12

B) 14

C) 11

D) 13

16 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 6

C) 10

D) 8

17 / 40

ni hisoblang.

A) 2

B) 3

C) 1

D) 0

18 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 0

C) 5

D) 1

19 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) (-∞;0)∪(0;∞)

C) x∈R

D) [-3;2]

20 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 3

C) 4

D) 2

21 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 600

B) 5050

C) 4800

D) 3600

22 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 14°

B) 17°

C) 7°

D) 24°

23 / 40

Hisoblang:

A) 4

B) 6

C) 0

D) 8

24 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 0

B) 5

C) 8

D) 1

25 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) R(√3-√2)

B) 1,5R

C) 3R

D) √3R(2-√3)

26 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 15

B) 7

C) 9

D) 12

27 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) 2/m

C) (m+4)/4

D) (4-m)/4

28 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 4

C) 1

D) 2

29 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 3

B) 4

C) 2

D) 1

30 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 64

B) 16

C) 32

D) 48

31 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 4

B) 1

C) 5

D) 2

32 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 10

B) 30

C) 0

D) 25

33 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab kamayadi, keyin o‘sadi

B) qat’iy kamayuvchi

C) qat’iy o‘suvchi

D) dastlab o‘sadi, keyin kamayadi

34 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 41

B) 50

C) 32

D) 25

35 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/2

B) 8/15

C) 1/3

D) 5/6

36 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 80

B) 120

C) 90

D) 100

37 / 40

Yig‘indini toping.

A) 1/12

B) 1/6

C) 1/9

D) 1/4

38 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 6

B) 12

C) 3

D) 9

39 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √6

B) 2,5

C) √5

D) 2,4

40 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 8√3

B) 12√3

C) 9√5

D) 6√5