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Matematika attestatsiya №5

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Yanvar 24, 2022

27 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

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

A) 5/3

B) 3/18

C) 1/2

D) -452/18

2 / 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

3 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 7

B) 0

C) 5

D) 6

4 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) √5+5

C) 2√5

D) 5

5 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 2√14+√6

B) 18

C) 16

D) √6+√14

6 / 40

funksiyaning qiymatlar to'plamini toping.

A) (-2√2;√2)

B) [-√2;0)∪(0;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) [-√2;√2]

7 / 40

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

A) 10

B) 16

C) 64/5

D) 48/5

8 / 40

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

A) 4

B) 3

C) 1

D) 2

9 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 6

C) 7

D) 9

10 / 40

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

A) 1

B) 5

C) 4

D) 2

11 / 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) 7

C) 9

D) 12

12 / 40

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

A) 32

B) 48

C) 16

D) 64

13 / 40

Hisoblang:

A) 1/32

B) -1/2

C) 0

D) -√3/2

14 / 40

Tenglamani yeching:

A) 5

B) -6

C) 6; -5

D) -6; 5

15 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 11

C) 6

D) 5

16 / 40

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

A) 44

B) 45

C) 43

D) 42

17 / 40

bo‘lsa,

A) 1

B) 2

C) 2/3

D) 3/2

18 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 4√3

C) 2√3

D) 3√2

19 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 22

C) berilganlar yetarli emas

D) 11

20 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 3√2

B) 4√2

C) 4√3

D) 6

21 / 40

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

A) 8(π+2)

B) 32

C) 16(π-2)

D) 64

22 / 40

Hisoblang:

A) cos50°

B) 1

C) sin10°

D) cos10°

23 / 40

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

A) 10

B) 11

C) 5

D) 7

24 / 40

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

A) 5 yoki –15

B) 3 yoki –8

C) 6

D) 4 yoki –12

25 / 40

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

A) 5

B) 6

C) 7

D) 8

26 / 40

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

A) 2√3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

27 / 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) -4

C) -6

D) -3

28 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 12

C) 20

D) 10

29 / 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) cd/b

D) 1

30 / 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) 96

B) 25

C) 100

D) 105

31 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

32 / 40

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

A) 13

B) 15

C) 12

D) 14

33 / 40

Hisoblang:

A) 20/21

B) 9/10

C) 19/20

D) 10/11

34 / 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) 1

C) 4

D) 3

35 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

B) (9; 0), (28; -1)

C) (9; 0), (2; 7)

D) (7; 2), (28; -1)

36 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 3

D) 4

37 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 4√7

B) 8

C) 6√7

D) 10

38 / 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) 8

B) 6

C) 12

D) 10

39 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.