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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

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 16

B) 8

C) 24

D) 32

2 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 5

B) 7

C) 6

D) 0

3 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 126

B) 114

C) 96

D) 108

4 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) [-√2;0)∪(0;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) (-2√2;√2)

5 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUK

B) 1-EKUB 2-EKUK 3-EKUK

C) 1-EKUB 2-EKUK 3-EKUB

D) 1-EKUB 2-EKUB 3-EKUB

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 7

C) 6

D) 9

7 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 4

C) 3

D) 2

8 / 40

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

A) 10

B) 30

C) 25

D) 0

9 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 2

B) 3

C) 1

D) 4

10 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+4)/4

B) (4-m)/4

C) 2/m

D) (m+1)/2

11 / 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) 8

D) 10

12 / 40

Hisoblang:

A) -√3/2

B) -1/2

C) 0

D) 1/32

13 / 40

bo‘lsa,

A) 2

B) 3/2

C) 1

D) 2/3

14 / 40

√3

A) 7/3

B) 21/10

C) 5/5

D) 3/2

15 / 40

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

A) -π/4+πk, k∈Z

B) π/4+πk, k∈Z

C) 0

D) Ø

16 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

17 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

18 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

19 / 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) 5 yoki –15

D) 4 yoki –12

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

21 / 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) 6√7

C) 10

D) 4√7

22 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

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) 4√3

B) 6

C) 4√2

D) 3√2

24 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,04

C) 0,0(4)

D) 0,(04)

25 / 40

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

A) 6

B) 7

C) 5

D) 8

26 / 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) 96

C) 105

D) 25

27 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 4

D) 2

28 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 30

C) 24

D) 28

29 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 5

C) 4

D) 6

30 / 40

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

A) 3

B) 4

C) 2

D) 1

31 / 40

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

A) 8

B) 10

C) 15

D) 20

32 / 40

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

A) 32

B) 64

C) 16(π-2)

D) 8(π+2)

33 / 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) 14

C) 23

D) 35

34 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 22

D) 121

35 / 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

36 / 40

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

A) 13

B) 14

C) 15

D) 12

37 / 40

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