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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

75 Ko'rishlar 1 izoh

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

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

A) 0

B) 5

C) 6

D) 7

2 / 40

ko’paytmani hisoblang.

A) 480000

B) 10000

C) 86420000

D) 0

3 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 2

B) 1

C) 4

D) 3

4 / 40

Agar bo‘lsa, x ni toping.

A) -2

B) 5

C) -5

D) 2

5 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) a>c>b

C) a>b>c

D) c>a>b

6 / 40

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

A) 26

B) 32

C) 27

D) 48

7 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) 2√5

C) √5

D) 5

8 / 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

9 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 6

B) 8

C) 25/3

D) 35/6

10 / 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) 40

C) 44

D) 46

11 / 40

Standart shaklda yozing 0,000000000000013

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

A) 3

B) 1

C) 4

D) 2

12 / 40

Soddalashtiring:

A) 3

B) Aniqlab bo`lmaydi

C) 1

D) 2

13 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -1

B) 0

C) -2

D) -3

14 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 5

B) 3

C) 4

D) 6

15 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 9

C) 6

D) 7

16 / 40

Integralni hisoblang:

A) 2

B) 1

C) 4

D) 3

17 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 28

C) 40

D) 48

18 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 5

C) 6

D) 2

19 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 32

B) 25

C) 50

D) 41

20 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 8√3

B) 6√5

C) 12√3

D) 9√5

21 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 90

B) 80

C) 120

D) 100

22 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) [-3;2]

C) (-∞;3]∪[2;∞)

D) x∈R

23 / 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) qat’iy o‘suvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

24 / 40

tenglama intervalda nechta ildizga ega?

A) 1

B) 3

C) 2

D) 4

25 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 144π

B) 192π

C) 96π

D) 72π

26 / 40

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

A) 3600

B) 5050

C) 4800

D) 600

27 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) (1+√5)/2

C) 2

D) 4

28 / 40

Hisoblang:

A) 6

B) 4

C) 0

D) 8

29 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 1,5R

B) 3R

C) R(√3-√2)

D) √3R(2-√3)

30 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) √3/4

C) √3/8

D) 1/8

31 / 40

Tenglamani yeching:

A) 6/5

B) 5/9

C) 9/5

D) 5*4

32 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 48/65

B) 56/65

C) 40/63

D) 36/65

33 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 132°

B) 135°

C) 142°

D) 138°

34 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,288

B) 0,216

C) 0,144

D) 0,432

35 / 40

ni hisoblang.

A) 1

B) 2

C) 3

D) 0

36 / 40

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

A) 16

B) 48

C) 32

D) 64

37 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 14°

B) 7°

C) 17°

D) 24°

38 / 40

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