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Matematika attestatsiya №4

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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) 201

B) 203

C) 289

D) 200

2 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 4

B) 9

C) 16

D) 25

3 / 40

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

A) 30

B) 24

C) 18

D) 12

4 / 40

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

A) 4

B) 2

C) 1

D) 3

5 / 40

Agar bo‘lsa, x ni toping.

A) -5

B) 5

C) -2

D) 2

6 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) [-√2;0)∪(0;√2]

C) (-2√2;√2)

D) [-√2;-1)∪(-1;1)∪(1;√2]

7 / 40

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

A) 26

B) 48

C) 32

D) 27

8 / 40

tenglamani yeching.

A) log(3/5)2

B) 3

C) 5

D) log(5/3)2

9 / 40

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

A) 2

B) 3

C) 4

D) 1

10 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 3

B) 4,5

C) 4

D) 7,5

11 / 40

Hisoblang:

A) 4

B) 2

C) 3

D) 1

12 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 34

B) 32

C) 36

D) 40

13 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 6

B) 5

C) 3

D) 4

14 / 40

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

A) 10

B) 48/5

C) 64/5

D) 16

15 / 40

Soddalashtiring:

A) 3

B) 1

C) 2

D) Aniqlab bo`lmaydi

16 / 40

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

A) 64

B) 16

C) 48

D) 32

17 / 40

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

A) 5/6

B) 1/3

C) 8/15

D) 1/2

18 / 40

Hisoblang:

A) 6

B) 8

C) 0

D) 4

19 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 142°

C) 135°

D) 132°

20 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 1,5R

B) 3R

C) √3R(2-√3)

D) R(√3-√2)

21 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) (-∞;0)∪(0;∞)

C) [-3;2]

D) x∈R

22 / 40

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

A) 1

B) 3

C) 4

D) 2

23 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 6

B) 10

C) 9

D) 8

24 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) berilganlar yetarli emas

C) 10

D) 6

25 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 6

C) 2

D) 4

26 / 40

ni hisoblang.

A) 3

B) 2

C) 0

D) 1

27 / 40

Tenglamani yeching:

A) 5*4

B) 5/9

C) 9/5

D) 6/5

28 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 4

C) 3

D) 1

29 / 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) 25

B) 20

C) 35

D) 40

30 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √6

B) 2,4

C) √5

D) 2,5

31 / 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) dastlab kamayadi, keyin o‘sadi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy kamayuvchi

32 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+4)/4

C) (m+1)/2

D) (4-m)/4

33 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √2/8

C) √3/8

D) √3/4

34 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 14°

B) 24°

C) 17°

D) 7°

35 / 40

Agar bo‘lsa, m/n ni toping.

A) 2

B) 4

C) 3

D) (1+√5)/2

36 / 40

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

A) 3

B) 2

C) 1

D) 4

37 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 7

B) 15

C) 9

D) 12

38 / 40

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

A) 41

B) 32

C) 50

D) 25

39 / 40

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

A) 600

B) 4800

C) 3600

D) 5050

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) 9√5

B) 6√5

C) 12√3

D) 8√3