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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 4√3π

B) 12π

C) 2√3π

D) 3π

2 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 36

B) 50

C) 54

D) 40

3 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 12

B) 6

C) 18

D) 3

4 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 90°

B) 72°

C) 60°

D) 30°

5 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 0,5S

B) 4S

C) 2S

D) 3S

6 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 112,5°

B) 113,5°

C) 100°

D) 113°

7 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (0,2)

B) (2;∞)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

8 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -0,5

C) -1

D) -0,25

9 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) bunday funksiya mavjud emas

C) juft ham emas, toq ham emas funksiya

D) toq funksiya

10 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [cos2;1]

C) [0;1]

D) [0;cos2]

11 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 3

B) 7

C) 4

D) 5

12 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 10

B) 7

C) 9

D) 6

13 / 30

A) √6

B) 1

C) 2

D) 0

14 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (4;3)

C) (–4;3)

D) (4;–3)

15 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -6

B) 9

C) -3

D) 6

16 / 30

A) 3

B) 1

C) 2

D) 5

17 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 140/41

C) 150/41

D) -139/41

18 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 5

B) 6

C) 7

D) 4

19 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 10

B) 10 yoki 50

C) 2 yoki 50

D) 50

20 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 222222222222

B) 222220175

C) 22222222220

D) 2222222175

21 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) bunday to’gri to’rtburchak mavjud emas

B) 2

C) √7

D) √37

22 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(lg x)

B) ln(lg x)

C) ln(ln x)

D) lg(ln x)

23 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a=12

B) a≠5

C) a≠12

D) a ning bunday qiymati yo’q

24 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 52√3

B) 54

C) 108

D) 48√3

25 / 30

tenglamani yeching.

A) 2019

B) 2018

C) 0

D) 2017

26 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 2, 3

B) 1, 3

C) 3, 4

D) 1,4

27 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 4π/3

B) 2π/3

C) 3π/4

D) 3π/2

28 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 20

C) 28

D) 30

29 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) [2;∞)

30 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 2

B) 0

C) cheksiz ko’p

D) 1