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Matematika attestatsiya №2

InfoMaster

Yanvar 13, 2022

151 Ko'rishlar 1 izoh

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2 ovozlar, 4.5 avg

Matematika fanidan attestatsiya savollari №2

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) 289

D) 203

2 / 40

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

A) 6

B) 9

C) 27

D) 7

3 / 40

1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 3

B) 9

C) 4/3

D) 6

4 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 1

B) 3

C) 4

D) 2

5 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 22

B) 20

C) 18

D) 25

6 / 40

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

A) 30

B) 12

C) 18

D) 24

7 / 40

Agar bo'lsa ifodaning qiymatini toping.

A) 7

B) 13

C) 9

D) 0

8 / 40

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

A) 35

B) 4

C) 11

D) 12

9 / 40

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 2

B) 3

C) 2,5

D) 4

10 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 4

B) 3

C) 2

D) 5

11 / 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) 2

B) 3

C) 1

D) 4

12 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 3

B) 2

C) 1

D) 4

13 / 40

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

A) 1/5

B) 4

C) 1/4

D) 1/3

14 / 40

tenglamani yeching.

A) 5

B) log(5/3)2

C) 3

D) log(3/5)2

15 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 1

C) 3

D) 7

16 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 3

B) 7,5

C) 4,5

D) 4

17 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln5

B) ln2

C) ln4

D) ln3

18 / 40

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

A) 2

B) √3

C) 1

D) √2

19 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-2; ∞)

B) [-1; ∞)

C) (-1; ∞)

D) (0; ∞)

20 / 40

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

A) 114

B) 96

C) 126

D) 108

21 / 40

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

A) 48

B) 27

C) 26

D) 32

22 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 1

B) 3

C) 4

D) 2

23 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 46

B) 44

C) 40

D) 50

24 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 4

B) 6

C) 8

D) 2

25 / 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) 0,9 m yoki 90 cm

B) 0,7 m yoki 70 cm

C) 0,5 m yoki 50 cm

D) 0,6 m yoki 60 cm

26 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 5,75

B) 6

C) 9,25

D) 13

27 / 40

Hisoblang:

A) 4

B) 9

C) 27

D) 7

28 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) 2√5

C) 5

D) √5+5

29 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 11/5

B) 67/15

C) 68/15

D) 31/85

30 / 40

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

A) 2

B) 3

C) 0

D) 1

31 / 40

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

A) y=1-a

B) y=-a

C) x=-a

D) x=a

32 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²-x+5

C) f(x)=x²+3x+7

D) f(x)=x²-4

33 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) [-√2;-1)∪(-1;1)∪(1;√2]

C) (-2√2;√2)

D) [-√2;0)∪(0;√2]

34 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 35/6

B) 6

C) 8

D) 25/3

35 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) √6+√14

B) 18

C) 2√14+√6

D) 16

36 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y-2=0

B) 3x+2y+2=0

C) 3x-2y+2=0

D) 3x+2y-2=0

37 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.