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Matematika attestatsiya №4

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Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

bo‘lsa, ning qiymatini toping.

A) 0,5

B) 1

C) 0,7

D) 2

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 1

B) 2

C) 4

D) 3

3 / 40

va bo'lsa x-y=?

A) 7

B) 9

C) 8

D) 5

4 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 1

B) 3

C) 2

D) 4

5 / 40

180 gramm suvga 70 gramm tuz aralashtrildi. Hosil bo‘lgan aralashmaninmg necha foizi suvdan iborat?

A) 72

B) 70

C) 78

D) 75

6 / 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) 0

D) 6

7 / 40

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

A) 4

B) 1/4

C) 1/5

D) 1/3

8 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) [-1; ∞)

B) (-1; ∞)

C) (0; ∞)

D) (-2; ∞)

9 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 3

B) 4

C) 1

D) 2

10 / 40

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

A) 2

B) 0

C) 1

D) 3

11 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 5

B) 3

C) 4

D) 6

12 / 40

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

A) 14

B) 11

C) 13

D) 12

13 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 98

C) 101

D) 100

14 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) b

B) )a,b,d

C) b,d

D) a,b

15 / 40

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

A) 120°

B) 130°

C) 110°

D) 100°

16 / 40

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

A) 5

B) 9

C) 1

D) 0

17 / 40

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

A) 8

B) 10

C) 6

D) 9

18 / 40

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

A) 96π

B) 144π

C) 192π

D) 72π

19 / 40

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

A) 48

B) 32

C) 16

D) 64

20 / 40

Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

21 / 40

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

A) -√17

B) 4

C) -4

D) √17

22 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 6

C) 2

D) 4

23 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 2

B) 4

C) 1

D) 5

24 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) 10

C) berilganlar yetarli emas

D) 6

25 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 2

B) 4

C) 1

D) 3

26 / 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

27 / 40

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

A) 4

B) 1

C) 3

D) 2

28 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/8

C) √2/8

D) √3/4

29 / 40

tenglama intervalda nechta ildizga ega?

A) 2

B) 4

C) 3

D) 1

30 / 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°

31 / 40

Hisoblang:

A) 8

B) 4

C) 0

D) 6

32 / 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) 3

D) 4

33 / 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) 7

D) 12

34 / 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

35 / 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) qat’iy o‘suvchi

C) qat’iy kamayuvchi

D) dastlab o‘sadi, keyin kamayadi

36 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) [-3;2]

C) (-∞;0)∪(0;∞)

D) (-∞;3]∪[2;∞)

37 / 40

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

A) 41

B) 32

C) 50

D) 25

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) 6√5

B) 12√3

C) 8√3

D) 9√5

39 / 40

Yig‘indini toping.