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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) 3/18

B) -452/18

C) 1/2

D) 5/3

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 1

C) 2

D) 3

3 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 3

B) 0

C) 2

D) 1

4 / 40

bo‘lsa, x + y ni toping.

A) 16

B) 18

C) 20

D) 17

5 / 40

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

A) 12

B) 35

C) 4

D) 11

6 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 3

B) 2

C) 4

D) 1

7 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 4

B) 1

C) 2

D) 3

8 / 40

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

A) 4

B) 2

C) 8

D) 6

9 / 40

tenglamani yeching.

A) log(3/5)2

B) 3

C) 5

D) log(5/3)2

10 / 40

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

A) y=-a

B) x=a

C) x=-a

D) y=1-a

11 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 8

C) 6

D) 9

12 / 40

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

A) 48/5

B) 64/5

C) 10

D) 16

13 / 40

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

A) 32

B) 36

C) 40

D) 34

14 / 40

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

A) 100°

B) 130°

C) 110°

D) 120°

15 / 40

Soddalashtiring:

A) 1

B) 3

C) Aniqlab bo`lmaydi

D) 2

16 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) 6

C) berilganlar yetarli emas

D) 8

17 / 40

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

A) 144π

B) 96π

C) 72π

D) 192π

18 / 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 o‘sadi, keyin kamayadi

B) qat’iy o‘suvchi

C) qat’iy kamayuvchi

D) dastlab kamayadi, keyin o‘sadi

19 / 40

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

A) 0

B) 10

C) 25

D) 30

20 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √2/8

C) √3/8

D) √3/4

21 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 12

C) 3

D) 6

22 / 40

ni hisoblang.

A) 3

B) 2

C) 1

D) 0

23 / 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) 1,5R

B) R(√3-√2)

C) √3R(2-√3)

D) 3R

24 / 40

Integralni hisoblang:

A) 3

B) 2

C) 4

D) 1

25 / 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) 9

C) 12

D) 7

26 / 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) 2

D) 4

27 / 40

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

A) 5

B) 9

C) 1

D) 0

28 / 40

Tenglamani yeching:

A) 9/5

B) 6/5

C) 5/9

D) 5*4

29 / 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) 100

B) 90

C) 120

D) 80

30 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 40

B) 48

C) 52

D) 28

31 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 0

C) 8

D) 1

32 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 142°

B) 132°

C) 138°

D) 135°

33 / 40

Hisoblang:

A) 0

B) 4

C) 8

D) 6

34 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+1)/2

C) (4-m)/4

D) (m+4)/4

35 / 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) 40

B) 25

C) 35

D) 20

36 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 1

C) 4

D) 3

37 / 40

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

A) 8

B) 10

C) 6

D) 9

38 / 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) 9√5

C) 6√5

D) 12√3

39 / 40

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