Matematika attestatsiya №5

2 ovozlar, 1 o'rtacha

Matematika fanidan attestatsiya savollari №5

1 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 12

C) 26

D) 18

2 / 40

Agar ning qiymatini toping.

A) 75/23

B) 23/75

C) 23/25

D) 3

3 / 40

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

A) 4

B) 35

C) 12

D) 11

4 / 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) 16

B) 18

C) √6+√14

D) 2√14+√6

5 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,6 m yoki 60 cm

B) 0,5 m yoki 50 cm

C) 0,7 m yoki 70 cm

D) 0,9 m yoki 90 cm

6 / 40

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

A) 3

B) 4

C) 1

D) 2

7 / 40

Soddalashtiring.

A) (a-1)/(a-3)

B) (a-1)/(1-b)

C) (a+1)/(-a-3)

D) (b+2)/(1-b)

8 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 20 km

B) 0,2km

C) 2 km

D) 200 km

9 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 1

B) 3

C) 4

D) 2

10 / 40

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

A) 2

B) 3

C) 1

D) 4

11 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) √3/8

C) 1/8

D) √3/4

12 / 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) 25

B) 40

C) 35

D) 20

13 / 40

Hisoblang:

A) sin10°

B) cos10°

C) cos50°

D) 1

14 / 40

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

A) 20

B) 8

C) 15

D) 10

15 / 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

16 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

17 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 20

D) 12

18 / 40

Hisoblang:

A) 19/20

B) 10/11

C) 20/21

D) 9/10

19 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 116

C) 110

D) 115

20 / 40

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

A) 7

B) 6

C) 8

D) 5

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 2

D) 3

22 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

23 / 40

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

A) 24

B) 35

C) 14

D) 23

24 / 40

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

A) -π/4+πk, k∈Z

B) π/4+πk, k∈Z

C) 0

D) Ø

25 / 40

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

A) 8(π+2)

B) 32

C) 16(π-2)

D) 64

26 / 40

Hisoblang:

A) 0

B) 1/32

C) -√3/2

D) -1/2

27 / 40

sonlarini taqqolsang.

A) a

B) c

C) b

D) c

28 / 40

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

A) -2

B) 5

C) 8

D) 3

29 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 10

D) 12

30 / 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) 6

B) 4√2

C) 4√3

D) 3√2

31 / 40

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

A) 1

B) 2

C) 4

D) 3

32 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 22

D) 121

33 / 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) 100

B) 25

C) 96

D) 105

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) bc/d

C) bd/c

D) 1

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) 12

B) 8

C) 10

D) 6

36 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

37 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(2)

C) 0,0(4)

D) 0,(04)

38 / 40

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

A) √3ctg40° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) 4 √3tg50° tg70°

39 / 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) -6

B) -4

C) 5

D) -3

40 / 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) 4 yoki –12

C) 6

D) 3 yoki –8

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