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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

33 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 35

B) 12

C) 4

D) 11

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 1

B) 3

C) 4

D) 2

3 / 40

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

A) 30

B) 24

C) 18

D) 12

4 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) 1

B) √3

C) √2

D) 2

5 / 40

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

A) y=1-a

B) x=-a

C) y=-a

D) x=a

6 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 32

B) 26

C) 27

D) 48

7 / 40

Hisoblang?

A) 0,5

B) 0,25

C) 4

D) 2

8 / 40

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

A) 36

B) 32

C) 40

D) 34

9 / 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) b,d

B) a,b

C) b

D) )a,b,d

10 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 25

B) 35

C) 40

D) 20

11 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) R(√3-√2)

B) √3R(2-√3)

C) 1,5R

D) 3R

12 / 40

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

A) -4

B) 4

C) -√17

D) √17

13 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

14 / 40

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

A) 42

B) 43

C) 45

D) 44

15 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 5

C) 6

D) 4

16 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 24

C) 30

D) 28

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) 1

B) 2

C) 3

D) 4

18 / 40

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

A) 12

B) 13

C) 14

D) 15

19 / 40

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

A) 5

B) 8

C) 7

D) 6

20 / 40

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

A) 3

B) 4

C) 1

D) 2

21 / 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) DC < AD

C) BC > AD

D) AB = BC

22 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 121

C) 22

D) berilganlar yetarli emas

23 / 40

Hisoblang:

A) cos10°

B) cos50°

C) sin10°

D) 1

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) 6

D) 4√2

25 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√3

C) 2√2

D) 3√2

26 / 40

bo‘lsa,

A) 1

B) 2/3

C) 3/2

D) 2

27 / 40

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

A) 8

B) 20

C) 15

D) 10

28 / 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) 5 yoki –15

C) 6

D) 3 yoki –8

29 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 2

D) 4

30 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 10

C) 11

D) 9

31 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) -6

D) 5

32 / 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) 48

C) 32

D) 42

33 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 2

C) 3

D) 4

34 / 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

35 / 40

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

A) 8

B) 5

C) 3

D) -2

36 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

37 / 40

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

A) 0

B) Ø

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

38 / 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) cd/b

C) bd/c

D) 1

39 / 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) 10

C) 12

D) 8

40 / 40

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ega?