Olimpiade Sains Nasional 2008 [Indonesia]

HARI PERTAMA

Soal 1. Diberikan segitiga ABC. Titik D,E,F berada di luar segitiga ABC sehingga ABD,BCE,CAF adalah segitiga sama sisi. Buktikan bahwa lingkaran luar ABD,BCE,CAF konkuren.

Soal 2. Buktikan bahwa untuk setiap x,y\in\mathbb{R}^+,

\dfrac{1}{(1+\sqrt{x})^2}+\dfrac{1}{(1+\sqrt{y})^2}\geq\dfrac{2}{x+y+2}

Continue Reading …

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s