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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

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) c>a>b

C) a>c>b

D) a>b>c

2 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 200

B) 289

C) 203

D) 201

3 / 40

Hisoblang:

A) 7

B) 9

C) 27

D) 4

4 / 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) 96

C) 108

D) 114

5 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 99

C) 101

D) 100

6 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 3

B) 4

C) 1

D) 2

7 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 32

B) 64

C) 48

D) 16

8 / 40

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

A) 0

B) 1

C) 5

D) 9

9 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √5

B) 2,5

C) 2,4

D) √6

10 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 6

B) 12

C) 3

D) 9

11 / 40

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

A) 12

B) 14

C) 15

D) 13

12 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

13 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

14 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

15 / 40

√3

A) 3/2

B) 5/5

C) 21/10

D) 7/3

16 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 8

C) 4√7

D) 10

17 / 40

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

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) 4 √3tg50° tg70°

18 / 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) 6

C) 8

D) 12

19 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 1

C) 3

D) 4

20 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

21 / 40

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

A) 20

B) 8

C) 15

D) 10

22 / 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) 48

D) 64

23 / 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) -4

C) -3

D) -6

24 / 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) 3√2

C) 4√2

D) 6

25 / 40

sonlarini taqqolsang.

A) c

B) a

C) b

D) c

26 / 40

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

A) 8

B) 6

C) 7

D) 5

27 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 30

C) 32

D) 24

28 / 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) 24

C) 14

D) 23

29 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 50°

C) 30°

D) 20°

30 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 3√2

D) 2√2

31 / 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) 4

C) 2

D) 1

32 / 40

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

A) 3 yoki –8

B) 6

C) 5 yoki –15

D) 4 yoki –12

33 / 40

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

A) 1

B) bd/c

C) cd/b

D) bc/d

34 / 40

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

A) 8

B) -2

C) 5

D) 3

35 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

36 / 40

Hisoblang:

A) sin10°

B) cos50°

C) 1

D) cos10°

37 / 40

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

A) 1

B) 2

C) 4

D) 3

38 / 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) 105

C) 25

D) 96

39 / 40

a+b+c=10, bo‘lsa, ni toping.