a,b,c>0, a^2+b^2=c^2.求證:當n≥3時,a^n+b^n<c^n.用兩種方法回答.

熱心網(wǎng)友

a^2+b^2=c^2顯然ca,cb那么a^n+b^n=a^2*a^n-2 + b^2*b^n-2

熱心網(wǎng)友

a,b,c0, a^2+b^2=c^2.求證:當n≥3時,a^n+b^n