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Soal dan pembahasan Olimpiade Sains Nasional 2007.
Oleh: Ronald Widjojo
Contoh soal dan pembahasan (1 dari 8 soal):
Soal 3. Misalkan a,b,c bilangan-bilangan real positif yang memenuhi ketaksamaan
5(a2 + b2 + c2 ) < 6(ab + bc + ca) .
Buktikan bahwa ketiga ketaksamaan berikut berlaku: a + b > c,b + c > a, dan c + a > b .
Berikut ini adalah soal-soal matematika untuk seleksi tim olimpiade matematika Indonesia 2007.
Contoh soalnya adalah seperti dibawah ini:
Silakan download soal lengkap:
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