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Matematika attestatsiya №2

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Yanvar 13, 2022

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2 ovozlar, 4.5 avg

Matematika fanidan attestatsiya savollari №2

1 / 40

ni hisoblang.

A) (e+1)/2

B) e-1

C) e+1

D) (e-1)/2

2 / 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

3 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*cos5x

B) 16cos3x*cos5x

C) -16cos3x*sin5x

D) 16sin3x*sin5x

4 / 40

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 32

B) 16

C) 8

D) 24

5 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 456 km

B) 13 km

C) 670 km

D) 255 km

6 / 40

Agar ni hisoblang.

A) Cheksiz

B) 9

C) 8

D) 0

7 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) 1/2

B) 5/3

C) -452/18

D) 3/18

8 / 40

funksiyaning eng kichik musbat davrini toping.

A) 18

B) 24

C) 26

D) 12

9 / 40

Agar ning qiymatini toping.

A) 23/25

B) 3

C) 75/23

D) 23/75

10 / 40

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

A) 100 kun

B) 120 kun

C) 140 kun

D) 130 kun

11 / 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.

A) 6

B) 2

C) 0

D) 4

12 / 40

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

A) 68/15

B) 11/5

C) 67/15

D) 31/85

13 / 40

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

A) ln2

B) ln3

C) ln4

D) ln5

14 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 4

B) 1

C) 2

D) 3

15 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) [-√2;0)∪(0;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) (-2√2;√2)

16 / 40

Hisoblang:

A) 9

B) 4

C) 7

D) 27

17 / 40

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

A) 13sinx-sin13x + C

B) 13sinx+sin13x + C

C) -13cosx- cos13 x +C

D) 13cosx-cos13x + C

18 / 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) 5,75

C) 13

D) 9,25

19 / 40

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

A) x=-a

B) y=1-a

C) y=-a

D) x=a

20 / 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) 16

B) 2√14+√6

C) √6+√14

D) 18

21 / 40

tenglamani yeching.

A) 3

B) log(3/5)2

C) log(5/3)2

D) 5

22 / 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

23 / 40

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

A) 1

B) 2

C) 3

D) 0

24 / 40

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

A) 96

B) 108

C) 126

D) 114

25 / 40

Aniq integralni hisoblang:

A) 3

B) 0,5

C) 2

D) 0

26 / 40

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

A) (0; ∞)

B) (-2; ∞)

C) (-1; ∞)

D) [-1; ∞)

27 / 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) 1

C) 2

D) √3

28 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4

B) 7,5

C) 3

D) 4,5

29 / 40

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

A) 26

B) 32

C) 27

D) 48

30 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) 2√5

B) √5+5

C) 5

D) √5

31 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 1

C) 3

D) 7

32 / 40

Tengsizlikni yeching.

A) (-∞;-2]

B) [-3;-2]

C) [-3;2]∪{1}

D) [-2;1]∪{-3}

33 / 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) 40

B) 46

C) 44

D) 50

34 / 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) 2

C) 3

D) 1

35 / 40

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

A) 6

B) 2

C) 4

D) 8

36 / 40

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

A) 2

B) 4

C) 1

D) 3

37 / 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) 25/3

B) 6

C) 35/6

D) 8

38 / 40

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

A) f(x)=x²-x+5

B) f(x)=x²+3x+7

C) f(x)+2x²-1

D) f(x)=x²-4

39 / 40

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

A) 1/5

B) 1/4

C) 4

D) 1/3

40 / 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) 0,7 m yoki 70 cm

B) 0,5 m yoki 50 cm

C) 0,9 m yoki 90 cm

D) 0,6 m yoki 60 cm