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Matematika attestatsiya №5

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Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

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

A) 2

B) 1

C) 3

D) 4

2 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 24

B) 18

C) 12

D) 30

3 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 670 km

B) 255 km

C) 456 km

D) 13 km

4 / 40

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

A) (0; ∞)

B) (-2; ∞)

C) (-1; ∞)

D) [-1; ∞)

5 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 27

B) 48

C) 32

D) 26

6 / 40

Aniq integralni hisoblang:

A) 0,5

B) 0

C) 3

D) 2

7 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (29π)/3

B) (32π)/3

C) (28π)/3

D) 11π

8 / 40

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

A) 40

B) 32

C) 36

D) 34

9 / 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) 16

C) 10

D) 64/5

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

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

12 / 40

Hisoblang:

A) 8

B) 0

C) 6

D) 4

13 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

14 / 40

bo‘lsa,

A) 2

B) 1

C) 2/3

D) 3/2

15 / 40

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

A) 10

B) 15

C) 20

D) 8

16 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√2

C) 2√3

D) 4√3

17 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

18 / 40

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

A) 10

B) 11

C) 5

D) 7

19 / 40

Hisoblang:

A) cos10°

B) 1

C) sin10°

D) cos50°

20 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,(04)

C) 0,0(2)

D) 0,0(4)

21 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 30

C) 32

D) 24

22 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 10

C) 11

D) 12

23 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

24 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 35

B) 23

C) 14

D) 24

25 / 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) -4

B) -3

C) -6

D) 5

26 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 121

D) 22

27 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 11

D) 4

28 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 1

D) 4

29 / 40

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

A) 6

B) 4 yoki –12

C) 5 yoki –15

D) 3 yoki –8

30 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 40°

D) 20°

31 / 40

Hisoblang:

A) 1/32

B) 0

C) -1/2

D) -√3/2

32 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 1

D) 3

33 / 40

sonlarini taqqolsang.

A) c

B) a

C) c

D) b

34 / 40

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

A) cd/b

B) bd/c

C) 1

D) bc/d

35 / 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) 1

B) 3

C) 2

D) 4

36 / 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) 64

C) 42

D) 48

37 / 40

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

A) 6

B) 7

C) 5

D) 8

38 / 40

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

A) 1

B) 3

C) 4

D) 2

39 / 40

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

A) 10

B) 6√7

C) 4√7

D) 8

40 / 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