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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

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

2 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 3

B) 2

C) 4

D) 1

3 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) c>a>b

B) a>c>b

C) a>b>c

D) b>a>c

4 / 40

1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 9

B) 6

C) 3

D) 4/3

5 / 40

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 2,5

B) 3

C) 4

D) 2

6 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 4

B) 8

C) 6

D) 2

7 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 7

B) 9

C) 3

D) 1

8 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 5,75

B) 9,25

C) 13

D) 6

9 / 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) 0,6 m yoki 60 cm

B) 0,5 m yoki 50 cm

C) 0,7 m yoki 70 cm

D) 0,9 m yoki 90 cm

10 / 40

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

A) 1/4

B) 1/5

C) 4

D) 1/3

11 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 120°

B) 100°

C) 110°

D) 130°

12 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 9

C) 6

D) 8

13 / 40

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

A) 40°

B) 10°

C) 20°

D) 30°

14 / 40

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

A) 14

B) 13

C) 11

D) 12

15 / 40

Soddalashtiring.

A) (a-1)/(a-3)

B) (a+1)/(-a-3)

C) (b+2)/(1-b)

D) (a-1)/(1-b)

16 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) √2/8

C) √3/4

D) 1/8

17 / 40

Integralni hisoblang:

A) 1

B) 3

C) 2

D) 4

18 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 4

C) 2

D) 6

19 / 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) 120

B) 90

C) 80

D) 100

20 / 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) 2,4

C) 2,5

D) √5

21 / 40

Hisoblang:

A) 6

B) 0

C) 8

D) 4

22 / 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) 12√3

B) 6√5

C) 8√3

D) 9√5

23 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 1

B) 8

C) 0

D) 5

24 / 40

ni hisoblang.

A) 0

B) 3

C) 1

D) 2

25 / 40

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

A) 5/6

B) 1/3

C) 1/2

D) 8/15

26 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 72π

B) 192π

C) 144π

D) 96π

27 / 40

Yig‘indini toping.

A) 1/12

B) 1/9

C) 1/4

D) 1/6

28 / 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) dastlab o‘sadi, keyin kamayadi

C) dastlab kamayadi, keyin o‘sadi

D) qat’iy o‘suvchi

29 / 40

Agar bo‘lsa, m/n ni toping.

A) 2

B) (1+√5)/2

C) 4

D) 3

30 / 40

Tenglamani yeching:

A) 6/5

B) 5*4

C) 5/9

D) 9/5

31 / 40

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

A) 64

B) 16

C) 32

D) 48

32 / 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

33 / 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) 25

C) 20

D) 40

34 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,144

B) 0,288

C) 0,432

D) 0,216

35 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+1)/2

C) (m+4)/4

D) (4-m)/4

36 / 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) √3R(2-√3)

B) 1,5R

C) 3R

D) R(√3-√2)

37 / 40

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

A) 3

B) 2

C) 4

D) 1

38 / 40

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

A) 5050

B) 600

C) 3600

D) 4800

39 / 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) 24°

B) 7°

C) 17°

D) 14°

40 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.