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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) 200

C) 203

D) 289

2 / 40

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

A) 12

B) 30

C) 18

D) 24

3 / 40

Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 6

B) 7

C) 9

D) 27

4 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 4

C) 1/3

D) 1/4

5 / 40

tenglamani yeching.

A) 3

B) log(5/3)2

C) log(3/5)2

D) 5

6 / 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) 0,5 m yoki 50 cm

B) 0,9 m yoki 90 cm

C) 0,7 m yoki 70 cm

D) 0,6 m yoki 60 cm

7 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (29π)/3

B) (32π)/3

C) (28π)/3

D) 11π

8 / 40

Soddalashtiring:

A) 2

B) Aniqlab bo`lmaydi

C) 3

D) 1

9 / 40

Soddalashtiring.

A) (a+1)/(-a-3)

B) (a-1)/(1-b)

C) (a-1)/(a-3)

D) (b+2)/(1-b)

10 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 142°

B) 135°

C) 138°

D) 132°

11 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 48

C) 28

D) 40

12 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) (-∞;3]∪[2;∞)

C) [-3;2]

D) x∈R

13 / 40

Hisoblang:

A) cos10°

B) sin10°

C) 1

D) cos50°

14 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 4

C) 2

D) 1

15 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,(04)

C) 0,0(2)

D) 0,04

16 / 40

Hisoblang:

A) 9/10

B) 19/20

C) 20/21

D) 10/11

17 / 40

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

A) 48

B) 32

C) 64

D) 42

18 / 40

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

A) 7

B) 11

C) 10

D) 5

19 / 40

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

A) 5

B) 3

C) -2

D) 8

20 / 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

21 / 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) -4

B) -6

C) -3

D) 5

22 / 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) 4 yoki –12

C) 5 yoki –15

D) 6

23 / 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) DC < AD

B) BD = BC

C) BC > AD

D) AB = BC

24 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 6

C) 5

D) 11

25 / 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

26 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 1/32

D) 0

27 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 11

C) berilganlar yetarli emas

D) 22

28 / 40

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

A) 42

B) 44

C) 43

D) 45

29 / 40

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

A) 14

B) 15

C) 13

D) 12

30 / 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) 6

B) 4√2

C) 4√3

D) 3√2

31 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

32 / 40

sonlarini taqqolsang.

A) c

B) c

C) a

D) b

33 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 30°

D) 20°

34 / 40

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

A) 32

B) 16(π-2)

C) 8(π+2)

D) 64

35 / 40

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

A) 14

B) 24

C) 35

D) 23

36 / 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

37 / 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) 10

C) 8

D) 6

38 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.