Matematika attestatsiya №2

2 ovozlar, 4.5 o'rtacha

Matematika fanidan attestatsiya savollari №2

1 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 3

B) 1

C) 4

D) 2

2 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 3

B) 4

C) 5

D) 2

3 / 40

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

A) 1/2

B) -452/18

C) 3/18

D) 5/3

4 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) -16cos3x*sin5x

B) 16cos3x*cos5x

C) 16sin3x*cos5x

D) 16sin3x*sin5x

5 / 40

Agar ning qiymatini toping.

A) 23/25

B) 23/75

C) 3

D) 75/23

6 / 40

Agar bo'lsa, x ni toping.

A) -2

B) 2

C) -5

D) 5

7 / 40

bo‘lsa, x + y ni toping.

A) 20

B) 17

C) 18

D) 16

8 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 4

B) 1

C) 2

D) 3

9 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 26

C) 12

D) 18

10 / 40

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

A) 130 kun

B) 100 kun

C) 120 kun

D) 140 kun

11 / 40

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

A) 4

B) 6

C) 2

D) 8

12 / 40

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

A) 108

B) 126

C) 114

D) 96

13 / 40

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

A) 4

B) 2

C) 3

D) 1

14 / 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) 3

B) 4

C) 1

D) 2

15 / 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) 2√14+√6

B) 18

C) √6+√14

D) 16

16 / 40

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

A) √3

B) 1

C) √2

D) 2

17 / 40

Tengsizlikni yeching.

A) [-3;2]∪{1}

B) [-2;1]∪{-3}

C) [-3;-2]

D) (-∞;-2]

18 / 40

tenglamani yeching.

A) 3

B) 5

C) log(5/3)2

D) log(3/5)2

19 / 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) 0,7 m yoki 70 cm

C) 0,9 m yoki 90 cm

D) 0,5 m yoki 50 cm

20 / 40

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

A) ln4

B) ln3

C) ln5

D) ln2

21 / 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) 25/3

C) 6

D) 8

22 / 40

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

A) 1

B) 0

C) 3

D) 2

23 / 40

Aniq integralni hisoblang:

A) 0

B) 0,5

C) 3

D) 2

24 / 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

25 / 40

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

A) 31/85

B) 67/15

C) 68/15

D) 11/5

26 / 40

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

A) -13cosx- cos13 x +C

B) 13sinx+sin13x + C

C) 13cosx-cos13x + C

D) 13sinx-sin13x + C

27 / 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)=x²-4

C) f(x)=x²+3x+7

D) f(x)+2x²-1

28 / 40

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

A) 1/3

B) 4

C) 1/5

D) 1/4

29 / 40

Hisoblang:

A) 9

B) 4

C) 27

D) 7

30 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 3

C) 1

D) 7

31 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4,5

B) 3

C) 4

D) 7,5

32 / 40

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

A) 27

B) 48

C) 26

D) 32

33 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) √5+5

C) 5

D) 2√5

34 / 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) 44

B) 40

C) 46

D) 50

35 / 40

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

A) (0; ∞)

B) [-1; ∞)

C) (-1; ∞)

D) (-2; ∞)

36 / 40

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

A) x=-a

B) y=1-a

C) x=a

D) y=-a

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.

A) 4

B) 0

C) 2

D) 6

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) 13

C) 5,75

D) 9,25

39 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 1

B) 4

C) 3

D) 2

40 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) (-2√2;√2)

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) [-√2;0)∪(0;√2]

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