Matematika abituriyent testi №1

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Matematika abituriyentlar uchun №1

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Hisoblang:

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To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

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Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

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

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

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Soddalashtiring.

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funktsiyaning aniqlanish sohasini toping.

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Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

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n ning qanday qiymatida ushbu

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

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x(t)=t2+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

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Sin9x =4sin3x tenglamani yeching

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

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

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

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Tenglamani yeching.

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

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Ushbu  arifmetik progressiyaning manfiy hadlari yig’indisini toping.

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Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

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Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

 

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a=sin 1; b=sin 2; c=sin 3; d=sin 4 va  e=sin 5  sonlarni kamayish tartibida joylashtiring.

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

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

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Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

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y=  funktsiyaning aniqlanish sohasini toping.

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

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Tengsizlikni yeching.

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

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

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

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

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