Matematika abituriyent testi №1

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Matematika abituriyentlar uchun №1

1 / 30

Agar arctga+ arctgb + arctgc=  bo’lsa, a+b+c ni toping.

2 / 30

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

3 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

4 / 30

Quyidagilardan qaysi biri barcha  lar uchun ma’noga ega (aniqlangan)?

5 / 30

n ning qanday qiymatida ushbu

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

6 / 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.

7 / 30

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

8 / 30

Sin9x =4sin3x tenglamani yeching

9 / 30

y=  funktsiyaning aniqlanish sohasini toping.

10 / 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.

11 / 30

Tomoni 25  ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

12 / 30

Tenglamani yeching.

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

13 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

14 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

15 / 30

16 / 30

Soddalashtiring.

17 / 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.

18 / 30

Tenglamaning ildizlari yig`indisini toping.

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

20 / 30

integralning qiymatini toping.

21 / 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

22 / 30

funktsiyaning aniqlanish sohasini toping.

23 / 30

Parallelogrammning yuzi  213  ga, tomonlaridan biri 7 ga va o’tkir burchagi 600 ga teng bo’lsa, ikkinchi tomonini toping

24 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 1200 ga teng bo’lsa, uning yuzini toping.

25 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

26 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

27 / 30

Ifodani soddalashtiring.

2 cos55o.cos40o.sin55o+cos110o.sin40o

28 / 30

sistemadan x+y+z ning qiymatini toping.

29 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

30 / 30

tenglamani yeching.

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