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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

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) -16cos3x*sin5x

B) 16cos3x*cos5x

C) 16sin3x*sin5x

D) 16sin3x*cos5x

2 / 40

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

A) 35

B) 4

C) 12

D) 11

3 / 40

ni hisoblang.

A) e+1

B) (e-1)/2

C) (e+1)/2

D) e-1

4 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 68/15

B) 31/85

C) 11/5

D) 67/15

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) 0,9 m yoki 90 cm

B) 0,5 m yoki 50 cm

C) 0,6 m yoki 60 cm

D) 0,7 m yoki 70 cm

6 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 50

B) 46

C) 44

D) 40

7 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 2

B) 3

C) 1

D) 4

8 / 40

x ni toping ?

A) 4

B) 5

C) 6

D) 3

9 / 40

Standart shaklda yozing 0,000000000000013

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

A) 4

B) 3

C) 1

D) 2

10 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;0)∪(0;∞)

C) [-3;2]

D) (-∞;3]∪[2;∞)

11 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 4800

B) 3600

C) 5050

D) 600

12 / 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) qat’iy kamayuvchi

B) dastlab kamayadi, keyin o‘sadi

C) qat’iy o‘suvchi

D) dastlab o‘sadi, keyin kamayadi

13 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

14 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

15 / 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) BC > AD

B) AB = BC

C) DC < AD

D) BD = BC

16 / 40

Hisoblang:

A) 9/10

B) 19/20

C) 20/21

D) 10/11

17 / 40

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

A) 13

B) 12

C) 14

D) 15

18 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 10

D) 9

19 / 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) 10

D) 12

20 / 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

21 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 6

D) 5

22 / 40

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

A) bc/d

B) 1

C) bd/c

D) cd/b

23 / 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) 5

C) -3

D) -4

24 / 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

25 / 40

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

A) 15

B) 20

C) 8

D) 10

26 / 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) 8

C) 4√7

D) 6√7

27 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

28 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,0(2)

C) 0,04

D) 0,(04)

29 / 40

bo‘lsa,

A) 3/2

B) 2/3

C) 1

D) 2

30 / 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

31 / 40

Hisoblang:

A) cos10°

B) sin10°

C) 1

D) cos50°

32 / 40

Tenglamani yeching:

A) 5

B) -6

C) -6; 5

D) 6; -5

33 / 40

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

A) 4

B) 3

C) 2

D) 1

34 / 40

Hisoblang:

A) -1/2

B) 1/32

C) 0

D) -√3/2

35 / 40

√3

A) 5/5

B) 21/10

C) 3/2

D) 7/3

36 / 40

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

A) 43

B) 42

C) 45

D) 44

37 / 40

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

A) 6

B) 8

C) 7

D) 5

38 / 40

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

A) √3ctg40° tg70°

B) √3tg50° tg70°

C) 4 √3tg50° tg70°

D) 2√3tg50° tg70°

39 / 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) 25

B) 96

C) 105

D) 100

40 / 40

Kvadratlarning yuzlari yig‘indisini toping.