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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

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) 4

B) 1

C) 2

D) 3

2 / 40

tengsizlikni yeching.

A) x∈(-5;1)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-∞;5)

D) x∈(-3;1)

3 / 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) 8

C) 35/6

D) 6

4 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) √6+√14

B) 18

C) 2√14+√6

D) 16

5 / 40

x ni toping ?

A) 4

B) 3

C) 5

D) 6

6 / 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) b

B) a,b

C) )a,b,d

D) b,d

7 / 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) 6√5

B) 9√5

C) 12√3

D) 8√3

8 / 40

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

A) 32

B) 50

C) 41

D) 25

9 / 40

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

A) 144π

B) 192π

C) 72π

D) 96π

10 / 40

Integralni hisoblang:

A) 4

B) 3

C) 1

D) 2

11 / 40

Hisoblang:

A) sin10°

B) 1

C) cos50°

D) cos10°

12 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) 5

D) -6; 5

13 / 40

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

A) 1

B) 3

C) 2

D) 4

14 / 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√2

B) 4√3

C) 6

D) 3√2

15 / 40

Hisoblang:

A) 19/20

B) 9/10

C) 10/11

D) 20/21

16 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(4)

C) 0,0(2)

D) 0,04

17 / 40

√3

A) 5/5

B) 21/10

C) 3/2

D) 7/3

18 / 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) 2

B) 3

C) 1

D) 4

19 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 12

C) 10

D) 11

20 / 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

21 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 30

D) 28

22 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 1

C) 4

D) 2

23 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

24 / 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

25 / 40

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

A) 5

B) -2

C) 8

D) 3

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) -6

B) 5

C) -3

D) -4

27 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

28 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 20°

C) 30°

D) 50°

29 / 40

Hisoblang:

A) 0

B) 1/32

C) -√3/2

D) -1/2

30 / 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) AB = BC

B) DC < AD

C) BC > AD

D) BD = BC

31 / 40

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

A) 64

B) 42

C) 32

D) 48

32 / 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) 25

C) 105

D) 96

33 / 40

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

A) 5

B) 8

C) 7

D) 6

34 / 40

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

A) 10

B) 5

C) 11

D) 7

35 / 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

36 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 1

C) 4

D) 3

37 / 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

38 / 40

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

A) 8(π+2)

B) 16(π-2)

C) 32

D) 64

39 / 40

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

A) 12

B) 13

C) 14

D) 15

40 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 12

C) 20

D) 10

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