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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

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) aniqlab bo‘lmaydi

B) 4

C) 3

D) 2

2 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 289

B) 200

C) 203

D) 201

3 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 21

B) 32

C) 24

D) 28

4 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 1/4

C) 4

D) 1/3

5 / 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) 25/3

B) 6

C) 35/6

D) 8

6 / 40

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

A) 1

B) 3

C) 4

D) 2

7 / 40

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

A) 32

B) 34

C) 36

D) 40

8 / 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) (32π)/3

B) (28π)/3

C) (29π)/3

D) 11π

9 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 30°

B) 10°

C) 40°

D) 20°

10 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 4

C) 6

D) 2

11 / 40

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

A) 0,432

B) 0,288

C) 0,144

D) 0,216

12 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 10

B) 6

C) 9

D) 8

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 12

C) 10

D) 11

14 / 40

bo‘lsa,

A) 2/3

B) 1

C) 2

D) 3/2

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) 4√7

B) 10

C) 8

D) 6√7

16 / 40

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

A) 11

B) 5

C) 10

D) 7

17 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 6; -5

D) 5

18 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 30°

D) 40°

19 / 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) BD = BC

D) DC < AD

20 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,04

C) 0,(04)

D) 0,0(4)

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 4

C) 2

D) 3

22 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√2

C) 2√3

D) 3√2

23 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

24 / 40

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

A) 8(π+2)

B) 16(π-2)

C) 32

D) 64

25 / 40

Hisoblang:

A) 9/10

B) 19/20

C) 10/11

D) 20/21

26 / 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) 24

C) 23

D) 14

27 / 40

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

A) -π/4+πk, k∈Z

B) 0

C) Ø

D) π/4+πk, k∈Z

28 / 40

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

A) 6

B) 5

C) 7

D) 8

29 / 40

Hisoblang:

A) sin10°

B) 1

C) cos10°

D) cos50°

30 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 22

D) 121

31 / 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) 1

C) bd/c

D) bc/d

32 / 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) 48

C) 32

D) 64

33 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 14

D) 20

34 / 40

√3

A) 21/10

B) 5/5

C) 7/3

D) 3/2

35 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

36 / 40

sonlarini taqqolsang.

A) a

B) c

C) c

D) b

37 / 40

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

A) -2

B) 3

C) 8

D) 5

38 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

39 / 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

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) 3 yoki –8

C) 4 yoki –12

D) 6