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Matematika attestatsiya №2

InfoMaster

Yanvar 13, 2022

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2 ovozlar, 4.5 avg

Matematika fanidan attestatsiya savollari №2

1 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 4

B) 1

C) 3

D) 2

2 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,32

B) 0,8

C) 0,5

D) 0,16

3 / 40

Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 140 kun

B) 120 kun

C) 130 kun

D) 100 kun

4 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 3

B) 0

C) 2

D) 1

5 / 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) 200

D) 203

6 / 40

Agar ning qiymatini toping.

A) 3

B) 23/25

C) 75/23

D) 23/75

7 / 40

bo‘lsa, x + y ni toping.

A) 18

B) 17

C) 20

D) 16

8 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) a>b>c

B) c>a>b

C) b>a>c

D) a>c>b

9 / 40

Agar bo'lsa, x ni toping.

A) 2

B) -2

C) -5

D) 5

10 / 40

Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 16

B) 20

C) aniqlab bo‘lmaydi

D) 18

11 / 40

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

A) 67/15

B) 68/15

C) 11/5

D) 31/85

12 / 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

13 / 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) 18

B) 16

C) 2√14+√6

D) √6+√14

14 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;-1)∪(-1;1)∪(1;√2]

B) [-√2;0)∪(0;√2]

C) [-√2;√2]

D) (-2√2;√2)

15 / 40

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

A) 2

B) 0

C) 1

D) 3

16 / 40

Aniq integralni hisoblang:

A) 3

B) 0

C) 0,5

D) 2

17 / 40

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

A) (0; ∞)

B) [-1; ∞)

C) (-2; ∞)

D) (-1; ∞)

18 / 40

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

A) ln4

B) ln2

C) ln5

D) ln3

19 / 40

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

A) 27

B) 32

C) 26

D) 48

20 / 40

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

A) f(x)=x²+3x+7

B) f(x)=x²-x+5

C) f(x)+2x²-1

D) f(x)=x²-4

21 / 40

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

A) 4

B) 1/5

C) 1/3

D) 1/4

22 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) [-2;1]∪{-3}

C) (-∞;-2]

D) [-3;2]∪{1}

23 / 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

24 / 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) 108

D) 126

25 / 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) 50

B) 46

C) 40

D) 44

26 / 40

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

A) 6

B) 8

C) 2

D) 4

27 / 40

Hisoblang:

A) 27

B) 9

C) 4

D) 7

28 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4

B) 3

C) 7,5

D) 4,5

29 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 3

B) 9

C) 7

D) 1

30 / 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) √2

D) 1

31 / 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) 0,6 m yoki 60 cm

B) 0,9 m yoki 90 cm

C) 0,7 m yoki 70 cm

D) 0,5 m yoki 50 cm

32 / 40

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

A) 4

B) 2

C) 1

D) 3

33 / 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) 4

B) 3

C) 2

D) 1

34 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) 2√5

C) √5

D) 5

35 / 40

tenglamani yeching.

A) 3

B) 5

C) log(5/3)2

D) log(3/5)2

36 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 3

B) 2

C) 4

D) 1

37 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) -13cosx- cos13 x +C

B) 13cosx-cos13x + C

C) 13sinx-sin13x + C

D) 13sinx+sin13x + C

38 / 40

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

A) 6

B) 9,25

C) 13

D) 5,75

39 / 40

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

A) x=-a

B) x=a

C) y=1-a

D) y=-a

40 / 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.