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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

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

A) 201

B) 289

C) 203

D) 200

2 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n > 0, k = 0

B) n = 0, k > 0

C) n < 0, k = 0

D) n = 0, k < 0

3 / 40

Agar bo'lsa ifodaning qiymatini toping.

A) 0

B) 9

C) 7

D) 13

4 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 3

B) 4

C) 2

D) 1

5 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;0)∪(0;√2]

B) [-√2;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) (-2√2;√2)

6 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) y=1-a

B) x=a

C) y=-a

D) x=-a

7 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 2 km

B) 0,2km

C) 200 km

D) 20 km

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) )a,b,d

C) b

D) b,d

9 / 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) 12

C) 11

D) 10

10 / 40

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

A) 4

B) 2

C) 5

D) 1

11 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) -√17

C) -4

D) 4

12 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 8/15

B) 1/3

C) 1/2

D) 5/6

13 / 40

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

A) 8

B) 7

C) 6

D) 5

14 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

15 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

16 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 40°

C) 20°

D) 50°

17 / 40

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

A) π/4+πk, k∈Z

B) 0

C) Ø

D) -π/4+πk, k∈Z

18 / 40

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

A) 64

B) 32

C) 48

D) 42

19 / 40

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

A) 42

B) 43

C) 44

D) 45

20 / 40

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

A) cd/b

B) bc/d

C) bd/c

D) 1

21 / 40

Hisoblang:

A) cos50°

B) sin10°

C) 1

D) cos10°

22 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

23 / 40

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

A) 4 yoki –12

B) 6

C) 3 yoki –8

D) 5 yoki –15

24 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 10

D) 12

25 / 40

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

A) 2√3tg50° tg70°

B) √3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3ctg40° tg70°

26 / 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

27 / 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) 12

B) 8

C) 6

D) 10

28 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.