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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 4

B) 1

C) 2

D) 3

2 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 5

B) 3

C) 2

D) 4

3 / 40

Qavariq oltiburchakning 3 ta uchidan kesib olsak qanday shakl hosil bo’ladi ?

A) 9

B) 6

C) 12

D) 14

4 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.

A) 6

B) 2

C) 0

D) 4

5 / 40

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

A) 3

B) 4

C) 1

D) 2

6 / 40

funksiyaning qiymatlar to'plamini toping.

A) (-2√2;√2)

B) [-√2;0)∪(0;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) [-√2;√2]

7 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 64/5

B) 16

C) 48/5

D) 10

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

B) b,d

C) )a,b,d

D) b

9 / 40

Hisoblang?

A) 2

B) 0,5

C) 0,25

D) 4

10 / 40

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

A) 36/65

B) 56/65

C) 40/63

D) 48/65

11 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 0

C) 1

D) 8

12 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 9

B) 12

C) 15

D) 7

13 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 121

D) 11

14 / 40

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

A) 5

B) 3

C) -2

D) 8

15 / 40

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

A) 45

B) 43

C) 42

D) 44

16 / 40

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

A) 4 √3tg50° tg70°

B) √3tg50° tg70°

C) 2√3tg50° tg70°

D) √3ctg40° tg70°

17 / 40

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

A) 16(π-2)

B) 64

C) 8(π+2)

D) 32

18 / 40

Hisoblang:

A) -√3/2

B) 0

C) -1/2

D) 1/32

19 / 40

Hisoblang:

A) cos10°

B) cos50°

C) 1

D) sin10°

20 / 40

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

A) 8

B) 7

C) 5

D) 6

21 / 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

22 / 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

23 / 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) 3√2

C) 4√2

D) 4√3

24 / 40

Hisoblang:

A) 9/10

B) 10/11

C) 20/21

D) 19/20

25 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 3

D) 2

26 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 5

C) 6

D) 11

27 / 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) 1

B) 3

C) 2

D) 4

28 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 14

D) 20

29 / 40

√3

A) 5/5

B) 3/2

C) 21/10

D) 7/3

30 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 28

C) 32

D) 24

31 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

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) 32

C) 64

D) 48

33 / 40

sonlarini taqqolsang.

A) c

B) a

C) b

D) c

34 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 40°

D) 20°

35 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 2

C) 3

D) 4

36 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 10

D) 9

37 / 40

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

A) 0

B) -π/4+πk, k∈Z

C) π/4+πk, k∈Z

D) Ø

38 / 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

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) 6

B) 12

C) 10

D) 8

40 / 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) 105

B) 25

C) 96

D) 100