[問題]Prove
由 訪客 於 星期四 十月 13, 2005 6:14 pm
1.prove that in triangle ABC..
a.if a^2+b^2=c^2, then angle C = 90 degree
b.if a^3+b^3=c^3, then angle C is less than 90 degree
2.Given that p, m are real number and p^3+m^3=2.Prove that p+m is less than or equal to 2
3.Given that a,b,c,m,n,p are real number and ap+cm=2bn,ac is greater than b^2. Prove that mp-n^2 is less than or equal to 0.
4.Prove that the sum of the squares of any five consecutive natural numbers cannot be a prefect square.