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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 12

C) 18

D) 26

2 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 2

B) 3

C) 4

D) 1

3 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n < 0, k = 0

B) n > 0, k = 0

C) n = 0, k > 0

D) n = 0, k < 0

4 / 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

5 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 32

B) 48

C) 27

D) 26

6 / 40

Hisoblang:

A) 7

B) 9

C) 27

D) 4

7 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 36

B) 40

C) 32

D) 34

8 / 40

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

A) 16

B) 64/5

C) 10

D) 48/5

9 / 40

Hisoblang:

A) 4

B) 3

C) 1

D) 2

10 / 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) dastlab o‘sadi, keyin kamayadi

C) qat’iy o‘suvchi

D) qat’iy kamayuvchi

11 / 40

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

A) 0

B) 10

C) 30

D) 25

12 / 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) 12

B) 9

C) 15

D) 7

13 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

14 / 40

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

A) 23

B) 14

C) 35

D) 24

15 / 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) 1

B) 4

C) 2

D) 3

16 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

17 / 40

Hisoblang:

A) 9/10

B) 20/21

C) 10/11

D) 19/20

18 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

19 / 40

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

A) 8

B) 4√7

C) 10

D) 6√7

20 / 40

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

A) 13

B) 12

C) 15

D) 14

21 / 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) 5

C) -6

D) -4

22 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 12

D) 14

23 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 50°

D) 40°

24 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3ctg40° tg70°

25 / 40

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

A) 6

B) 8

C) 7

D) 5

26 / 40

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

A) 0

B) -π/4+πk, k∈Z

C) π/4+πk, k∈Z

D) Ø

27 / 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) 105

C) 25

D) 100

28 / 40

sonlarini taqqolsang.

A) c

B) c

C) a

D) b

29 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 10

C) 9

D) 12

30 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) 1

B) cd/b

C) bc/d

D) bd/c

31 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 3√2

C) 4√3

D) 2√2

32 / 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) 4√2

B) 6

C) 4√3

D) 3√2

33 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,04

C) 0,(04)

D) 0,0(2)

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 2

C) 1

D) 4

35 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 43

B) 45

C) 42

D) 44

36 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 4

C) 1

D) 3

37 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 8

B) 10

C) 12

D) 6

38 / 40

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