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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

1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 9

B) 3

C) 4/3

D) 6

2 / 40

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

A) 11

B) 4

C) 12

D) 35

3 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 450,608

C) 40560,8

D) 45,0608

4 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²+3x+7

C) f(x)=x²-x+5

D) f(x)=x²-4

5 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln5

B) ln4

C) ln3

D) ln2

6 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;0)∪(0;√2]

B) (-2√2;√2)

C) [-√2;√2]

D) [-√2;-1)∪(-1;1)∪(1;√2]

7 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUK 3-EKUK

B) 1-EKUB 2-EKUB 3-EKUB

C) 1-EKUB 2-EKUK 3-EKUB

D) 1-EKUB 2-EKUB 3-EKUK

8 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 7

C) 8

D) 9

9 / 40

Hisoblang?

A) 4

B) 2

C) 0,5

D) 0,25

10 / 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

11 / 40

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

A) 5

B) 1

C) 0

D) 9

12 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) x∈R

C) [-3;2]

D) (-∞;3]∪[2;∞)

13 / 40

√3

A) 7/3

B) 5/5

C) 21/10

D) 3/2

14 / 40

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

A) 23

B) 24

C) 14

D) 35

15 / 40

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

A) 2√3tg50° tg70°

B) √3tg50° tg70°

C) √3ctg40° tg70°

D) 4 √3tg50° tg70°

16 / 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) 105

C) 25

D) 96

17 / 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

18 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 12

C) 11

D) 9

19 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 30

C) 28

D) 24

20 / 40

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

A) 0

B) -π/4+πk, k∈Z

C) Ø

D) π/4+πk, k∈Z

21 / 40

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

A) 3

B) 5

C) -2

D) 8

22 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 3√2

C) 4√3

D) 2√2

23 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 5

C) 11

D) 6

24 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

25 / 40

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

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

26 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 9/10

D) 10/11

27 / 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) 3

B) 4

C) 2

D) 1

28 / 40

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

A) 5

B) 7

C) 11

D) 10

29 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 4

C) 2

D) 1

30 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 2

C) 1

D) 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) 1

B) bc/d

C) cd/b

D) bd/c

32 / 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) 4√3

B) 4√2

C) 6

D) 3√2

33 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 14

C) 20

D) 12

34 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 50°

D) 40°

35 / 40

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

A) 42

B) 32

C) 48

D) 64

36 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 121

C) berilganlar yetarli emas

D) 11

37 / 40

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

A) 7

B) 5

C) 8

D) 6

38 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,04

C) 0,0(2)

D) 0,(04)

39 / 40

Hisoblang:

A) cos50°

B) 1

C) sin10°

D) cos10°

40 / 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) 6

D) 10