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Matematika attestatsiya №5

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Yanvar 24, 2022

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Matematika fanidan attestatsiya savollari №5

1 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 289

B) 203

C) 200

D) 201

2 / 40

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

A) aniqlab bo‘lmaydi

B) 2

C) 3

D) 4

3 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16cos3x*cos5x

B) 16sin3x*cos5x

C) 16sin3x*sin5x

D) -16cos3x*sin5x

4 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,7 m yoki 70 cm

B) 0,9 m yoki 90 cm

C) 0,6 m yoki 60 cm

D) 0,5 m yoki 50 cm

5 / 40

Aniq integralni hisoblang:

A) 0,5

B) 2

C) 0

D) 3

6 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-4

B) f(x)=x²+3x+7

C) f(x)=x²-x+5

D) f(x)+2x²-1

7 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 6

B) 4

C) 5

D) 3

8 / 40

Hisoblang?

A) 0,25

B) 4

C) 2

D) 0,5

9 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (28π)/3

B) (29π)/3

C) (32π)/3

D) 11π

10 / 40

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

A) 1

B) 0

C) 5

D) 9

11 / 40

Integralni hisoblang:

A) 4

B) 1

C) 3

D) 2

12 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) -√17

C) -4

D) 4

13 / 40

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

A) 4

B) 2

C) 1

D) 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) 24

B) 35

C) 23

D) 14

15 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 24

C) 28

D) 32

16 / 40

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

A) 5

B) 11

C) 7

D) 10

17 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

18 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 2

C) 3

D) 4

19 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 11

C) 121

D) 22

20 / 40

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

A) √3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

21 / 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) bc/d

C) cd/b

D) bd/c

22 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 6

D) 5

23 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 115

D) 112

24 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

25 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 20°

C) 50°

D) 30°

26 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,(04)

C) 0,0(2)

D) 0,04

27 / 40

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

A) π/4+πk, k∈Z

B) -π/4+πk, k∈Z

C) 0

D) Ø

28 / 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) 5

B) -3

C) -6

D) -4

29 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) -6; 5

D) 5

30 / 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) 6

B) 8

C) 12

D) 10

31 / 40

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

A) 5

B) 7

C) 6

D) 8

32 / 40

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

A) -2

B) 5

C) 3

D) 8

33 / 40

√3

A) 5/5

B) 21/10

C) 3/2

D) 7/3

34 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

35 / 40

bo‘lsa,

A) 2/3

B) 1

C) 2

D) 3/2

36 / 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) BD = BC

C) DC < AD

D) AB = BC

37 / 40

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

A) 44

B) 43

C) 45

D) 42

38 / 40

Sonlarining o‘rta geometrik qiymatini toping.