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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

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 1

C) 3

D) 2

2 / 40

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

A) 18

B) 24

C) 30

D) 12

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) 0,9 m yoki 90 cm

B) 0,6 m yoki 60 cm

C) 0,7 m yoki 70 cm

D) 0,5 m yoki 50 cm

4 / 40

tenglamani yeching.

A) 5

B) log(3/5)2

C) log(5/3)2

D) 3

5 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 14

B) 12

C) 13

D) 11

6 / 40

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

A) 36

B) 40

C) 32

D) 34

7 / 40

Yig‘indini toping.

A) 1/6

B) 1/4

C) 1/12

D) 1/9

8 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 0

B) 1

C) 5

D) 8

9 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) 4

C) 2

D) (1+√5)/2

10 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 5

C) 9

D) 1

11 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

12 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 11

D) 10

13 / 40

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

A) 10

B) 11

C) 7

D) 5

14 / 40

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

A) 32

B) 64

C) 48

D) 42

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) 8

B) 4√7

C) 10

D) 6√7

16 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 5

D) 6; -5

17 / 40

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

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

18 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(4)

C) 0,04

D) 0,0(2)

19 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 20

C) 12

D) 14

20 / 40

Hisoblang:

A) sin10°

B) cos10°

C) cos50°

D) 1

21 / 40

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

A) 45

B) 44

C) 42

D) 43

22 / 40

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

A) 4

B) 3

C) 2

D) 1

23 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 40°

D) 30°

24 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 4√3

C) 3√2

D) 2√3

25 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

26 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) berilganlar yetarli emas

C) 121

D) 11

27 / 40

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

A) π/4+πk, k∈Z

B) 0

C) -π/4+πk, k∈Z

D) Ø

28 / 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) 4√3

D) 6

29 / 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) 8

C) 6

D) 12

30 / 40

Hisoblang:

A) -1/2

B) 0

C) 1/32

D) -√3/2

31 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

32 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 23

C) 35

D) 14

33 / 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) 3

B) 2

C) 4

D) 1

34 / 40

bo‘lsa,

A) 2

B) 3/2

C) 1

D) 2/3

35 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

36 / 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) BD = BC

B) BC > AD

C) AB = BC

D) DC < AD

37 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 116

C) 110

D) 115

38 / 40

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

A) 15

B) 14

C) 12

D) 13

39 / 40

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

A) 8(π+2)

B) 32

C) 64

D) 16(π-2)

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) 100

B) 25

C) 96

D) 105