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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 203

B) 200

C) 289

D) 201

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) 0,8

B) 0,16

C) 0,5

D) 0,32

3 / 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) 3

B) 4

C) 1

D) 2

4 / 40

tengsizlikni yeching.

A) x∈(-3;1)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-5;1)

D) x∈(-∞;5)

5 / 40

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

A) 3

B) 2

C) 1

D) 4

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) 0,6 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

7 / 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

8 / 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

9 / 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

10 / 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

11 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 64/5

B) 48/5

C) 16

D) 10

12 / 40

x ni toping ?

A) 3

B) 5

C) 6

D) 4

13 / 40

Hisoblang?

A) 2

B) 0,5

C) 0,25

D) 4

14 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 3

C) 4

D) 2

15 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 110°

B) 120°

C) 100°

D) 130°

16 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 48

B) 16

C) 64

D) 32

17 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 6

B) 3

C) 9

D) 12

18 / 40

Hisoblang:

A) 0

B) 6

C) 4

D) 8

19 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 4

C) 3

D) 2

20 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,288

B) 0,432

C) 0,216

D) 0,144

21 / 40

tenglama intervalda nechta ildizga ega?

A) 2

B) 4

C) 1

D) 3

22 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy o‘suvchi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

23 / 40

Integralni hisoblang:

A) 2

B) 4

C) 1

D) 3

24 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+1)/2

C) (m+4)/4

D) (4-m)/4

25 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 40

B) 20

C) 25

D) 35

26 / 40

Tenglamani yeching:

A) 6/5

B) 9/5

C) 5/9

D) 5*4

27 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/2

B) 8/15

C) 1/3

D) 5/6

28 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) berilganlar yetarli emas

C) 8

D) 6

29 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 2

B) 4

C) 5

D) 6

30 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 1

C) 4

D) 3

31 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;0)∪(0;∞)

C) [-3;2]

D) (-∞;3]∪[2;∞)

32 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 1

B) 4

C) 3

D) 2

33 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 2

C) 4

D) 3

34 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 192π

B) 144π

C) 96π

D) 72π

35 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 41

C) 32

D) 25

36 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) -√17

C) -4

D) 4

37 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 48/65

B) 56/65

C) 40/63

D) 36/65

38 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 5

C) 1

D) 0

39 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 600

B) 3600

C) 5050

D) 4800

40 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 8√3

C) 9√5

D) 12√3