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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 24

B) 30

C) 18

D) 12

2 / 40

tengsizlikni yeching.

A) x∈(-5;1)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-3;1)

D) x∈(-∞;5)

3 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,6 m yoki 60 cm

B) 0,5 m yoki 50 cm

C) 0,7 m yoki 70 cm

D) 0,9 m yoki 90 cm

4 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 3

B) 2

C) 1

D) 4

5 / 40

Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 13

B) 11

C) 10

D) 12

6 / 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) (28π)/3

B) 11π

C) (32π)/3

D) (29π)/3

7 / 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) 15

C) 7

D) 12

8 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 4

C) 1

D) 2

9 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 1

C) 4

D) 2

10 / 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) 12√3

C) 8√3

D) 9√5

11 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 6

B) 3 yoki –8

C) 4 yoki –12

D) 5 yoki –15

12 / 40

Hisoblang:

A) -1/2

B) 0

C) 1/32

D) -√3/2

13 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√2

C) 2√3

D) 4√3

14 / 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) -6

C) -4

D) -3

15 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 30°

D) 20°

16 / 40

Hisoblang:

A) 1

B) cos50°

C) cos10°

D) sin10°

17 / 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) 4

B) 3

C) 2

D) 1

18 / 40

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

A) Ø

B) 0

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

19 / 40

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

A) 8(π+2)

B) 64

C) 16(π-2)

D) 32

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 110

C) 116

D) 115

21 / 40

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

A) 8

B) 3

C) 5

D) -2

22 / 40

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

A) 10

B) 5

C) 7

D) 11

23 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 5

D) 6; -5

24 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

25 / 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) 3√2

C) 6

D) 4√3

26 / 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°

27 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 24

D) 28

28 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) bc/d

B) 1

C) bd/c

D) cd/b

29 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 4

D) 1

30 / 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) 10

B) 12

C) 8

D) 6

31 / 40

sonlarini taqqolsang.

A) a

B) c

C) c

D) b

32 / 40

bo‘lsa,

A) 1

B) 2/3

C) 3/2

D) 2

33 / 40

√3

A) 3/2

B) 7/3

C) 21/10

D) 5/5

34 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 9

D) 10

35 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 4

D) 11

36 / 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) 23

C) 24

D) 14

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) BC > AD

B) AB = BC

C) DC < AD

D) BD = BC

38 / 40

Kvadratlarning yuzlari yig‘indisini toping.