Мavzu:”Olimpiada masalalarini yecyishni o’rgatish”

Yozma ish, X sinf

I-tur

I-variant
1) Quyidagini isbotlang: tg20ºtg40ºtg80º=

2) Taqqoslang:

3). Ko’paytuvchilarga ajrating:


4) To’rtburchakka aylana ichki chizilgan. To’rtburchakning ketma-ket uchta tomoni uzunliklarining nisbati 1:2:5 kabi, uning perimetri esa 60 sm ga teng. To’rtburchakning barcha tomonlarini toping.

5) Katetlari 18 sm va 24 sm bo’lgan to’g’ri burchakli uchburchak o’tkir burchaklarining bissektrisalarini toping.

Yozma ish, X sinf

I-tur

II-variant
1) Agar a+b+c=5 va ab+ac+bc=5 bo’lsa, a²+b²+c²=?

2). Ifodani soddalashtiring.

3).Hisoblang. .

4). To’rtburchakka aylana ichki chizilgan. To’rtburchakning ketma-ket uchta tomoni uzunliklarining nisbati 1:2:5 kabi, uning perimetri esa 60 sm ga teng. To’rtburchakning barcha tomonlarini toping.
5) Diagonali 8 sm, ular orasidagi burchak 45º bo’lgan teng yonli trapetsiyaning yuzini toping.