Matematika abituriyent testi №1

2
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Matematika abituriyentlar uchun №1

1 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

2 / 30

AA1A2A3A4A5A6 muntazam oltiburchakli piramidaning hajmi  ga va balandligi 2 ga teng bo‘lsa, u holda AA2A6 kesim yuzini toping.

3 / 30

Tengsizlikni yeching.

4 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

5 / 30

Ushbu (y6+y3+1)(y3+1)(y3-1)-y6+y3+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

6 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

7 / 30

n ning qanday qiymatida ushbu

81 .82 .83 ..8n=51222 tenglik o’rinli bo’ladi?

8 / 30

9 / 30

|x2-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

10 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

 

11 / 30

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

12 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

13 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

14 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

15 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

16 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

17 / 30

Quyidagi 2x-y+3z=2018  va  x+5y+z=2019 tekisliklarning holatini aniqlang.

18 / 30

tenglamalar sistemasini yeching

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A(2;-2,5) nuqtadan y=  - 4x parabolagacha bo’lgan eng qisqa masofani toping.

20 / 30

Ifodani soddalashtiring.  [ln(ln x)-ln(loge10)].log10e

21 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

22 / 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?

23 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

24 / 30

Tenglamani yeching.

|x2-11x+10|=x2-11x+10

25 / 30

Ag ar tgα=2 bo’lsa, u holda   ni hisoblang

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x2-5|x|-6=0 tenglama ildizini toping

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

28 / 30

Hisoblang

29 / 30

Agar sinx+cosx=a   bo’lsa, ning qiymatini toping.

30 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

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