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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

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

A) 203

B) 201

C) 289

D) 200

2 / 40

va bo'lsa x-y=?

A) 8

B) 9

C) 7

D) 5

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

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

A) 8

B) 6

C) 4

D) 2

5 / 40

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

A) (-2; ∞)

B) [-1; ∞)

C) (0; ∞)

D) (-1; ∞)

6 / 40

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

A) 13

B) 9,25

C) 6

D) 5,75

7 / 40

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

A) 120°

B) 100°

C) 130°

D) 110°

8 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 2

B) 3

C) 4

D) 1

9 / 40

Soddalshtiring.

A) 6

B) -1

C) 2

D) 1

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) qat’iy kamayuvchi

C) qat’iy o‘suvchi

D) dastlab o‘sadi, keyin kamayadi

11 / 40

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

A) 0,216

B) 0,144

C) 0,432

D) 0,288

12 / 40

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

A) 135°

B) 138°

C) 132°

D) 142°

13 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

14 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 8

B) 15

C) 10

D) 20

15 / 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) 105

B) 100

C) 25

D) 96

16 / 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) 2

B) 4

C) 3

D) 1

17 / 40

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

A) 15

B) 14

C) 12

D) 13

18 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 32

B) 48

C) 64

D) 42

19 / 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) AB = BC

B) DC < AD

C) BC > AD

D) BD = BC

20 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(4)

C) 0,(04)

D) 0,0(2)

21 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 5

C) 4

D) 6

22 / 40

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

A) 5

B) 8

C) 7

D) 6

23 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 12

D) 10

24 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 121

D) 22

25 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 40°

D) 30°

26 / 40

bo‘lsa,

A) 1

B) 2

C) 3/2

D) 2/3

27 / 40

Hisoblang:

A) 0

B) -√3/2

C) 1/32

D) -1/2

28 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 116

D) 110

29 / 40

Hisoblang:

A) cos50°

B) sin10°

C) 1

D) cos10°

30 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 3√2

D) 4√3

31 / 40

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

A) bd/c

B) bc/d

C) 1

D) cd/b

32 / 40

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

A) 1

B) 3

C) 4

D) 2

33 / 40

Tenglamani yeching:

A) 5

B) 6; -5

C) -6; 5

D) -6

34 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

35 / 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) 10

B) 6

C) 8

D) 12

36 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 4 yoki –12

B) 5 yoki –15

C) 3 yoki –8

D) 6

37 / 40

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