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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

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 1

B) 3

C) 4

D) 2

2 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 450,608

B) 40560,8

C) 45,0608

D) 4506,08

3 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 22

B) 18

C) 20

D) 25

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)=x²-4

D) f(x)=x²-x+5

5 / 40

tenglamani yeching.

A) log(3/5)2

B) 5

C) log(5/3)2

D) 3

6 / 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) 8

B) 25/3

C) 6

D) 35/6

7 / 40

x ni toping ?

A) 3

B) 6

C) 5

D) 4

8 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) )a,b,d

B) a,b

C) b

D) b,d

9 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 101

C) 98

D) 100

10 / 40

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

A) 50

B) 32

C) 41

D) 25

11 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 0

B) 30

C) 10

D) 25

12 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 0

C) 1

D) 8

13 / 40

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

A) 15

B) 10

C) 8

D) 20

14 / 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

15 / 40

√3

A) 5/5

B) 3/2

C) 7/3

D) 21/10

16 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

17 / 40

sonlarini taqqolsang.

A) b

B) a

C) c

D) c

18 / 40

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

A) 32

B) 64

C) 8(π+2)

D) 16(π-2)

19 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 8

B) 10

C) 4√7

D) 6√7

20 / 40

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

A) 4 √3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

21 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(2)

C) 0,(04)

D) 0,0(4)

22 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 12

D) 14

23 / 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) 10

C) 6

D) 12

24 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

25 / 40

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

A) 7

B) 8

C) 6

D) 5

26 / 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) 5

B) -3

C) -6

D) -4

27 / 40

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

A) 12

B) 13

C) 15

D) 14

28 / 40

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

A) 48

B) 32

C) 42

D) 64

29 / 40

Hisoblang:

A) 10/11

B) 9/10

C) 20/21

D) 19/20

30 / 40

Hisoblang:

A) cos10°

B) sin10°

C) cos50°

D) 1

31 / 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

32 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 11

C) 22

D) berilganlar yetarli emas

33 / 40

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

A) 7

B) 5

C) 10

D) 11

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

35 / 40

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

A) 2

B) 3

C) 1

D) 4

36 / 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) cd/b

C) bd/c

D) bc/d

37 / 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) DC < AD

B) BC > AD

C) AB = BC

D) BD = BC

38 / 40

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