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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*sin5x

B) -16cos3x*sin5x

C) 16sin3x*cos5x

D) 16cos3x*cos5x

2 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 24

B) 32

C) 21

D) 28

3 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) y=1-a

B) x=a

C) x=-a

D) y=-a

4 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.

A) 2

B) 4

C) 6

D) 0

5 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 4

B) 1

C) 2

D) 3

6 / 40

x ni toping ?

A) 5

B) 4

C) 3

D) 6

7 / 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) qat’iy kamayuvchi

B) qat’iy o‘suvchi

C) dastlab kamayadi, keyin o‘sadi

D) dastlab o‘sadi, keyin kamayadi

8 / 40

Integralni hisoblang:

A) 1

B) 4

C) 3

D) 2

9 / 40

Yig‘indini toping.

A) 1/4

B) 1/9

C) 1/6

D) 1/12

10 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 35

B) 40

C) 25

D) 20

11 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 14

B) 12

C) 13

D) 15

12 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 14

B) 24

C) 35

D) 23

13 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 4 yoki –12

B) 5 yoki –15

C) 3 yoki –8

D) 6

14 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 4√3

C) 2√3

D) 3√2

15 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 20°

D) 30°

16 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 8

B) 7

C) 5

D) 6

17 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 96

B) 25

C) 100

D) 105

18 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 2

B) 1

C) 4

D) 3

19 / 40

Tenglamalar sistemani yeching:

A) (9; 0), (28; -1)

B) (9; 0), (2; 7)

C) (7; 2), (28; -1)

D) (2; 3)

20 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(4)

C) 0,(04)

D) 0,0(2)

21 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 5

B) 7

C) 11

D) 10

22 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) BC > AD

B) AB = BC

C) DC < AD

D) BD = BC

23 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 6

B) 4√3

C) 4√2

D) 3√2

24 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 8

B) 20

C) 10

D) 15

25 / 40

tenglamaning ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 8

B) -2

C) 5

D) 3

26 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 2

C) 3

D) 4

27 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 64

B) 8(π+2)

C) 32

D) 16(π-2)

28 / 40

bo‘lsa,

A) 2/3

B) 1

C) 2

D) 3/2

29 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 20

D) 14

30 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -3

B) -4

C) 5

D) -6

31 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 10/11

D) 9/10

32 / 40

√3

A) 21/10

B) 5/5

C) 3/2

D) 7/3

33 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

34 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 8

C) 10

D) 4√7

35 / 40

Hisoblang:

A) 1

B) cos50°

C) sin10°

D) cos10°

36 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) berilganlar yetarli emas

D) 121

37 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 1/32

D) 0

38 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) Ø

B) -π/4+πk, k∈Z

C) 0

D) π/4+πk, k∈Z

39 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 6

C) 4

D) 5

40 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 3

B) 1

C) 4

D) 2

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