q+r=p+s,p+r>q+s,s>p

来源:百度知道 编辑:UC知道 时间:2020/07/07 02:01:28
求大小

q + r = p + s ==> q + r + p = 2p + s
p + r > q + s ==> 2p + s > 2q + s ==> p > q
r = p + s - q ==> 2r = p + r + s - q > q + s + s - q = 2s ==> r > s
又s > p
所以r > s > p > q

q+r=p+s(1)
p+r>q+s(2)
由(1)-(2)得:q<p
因为:s>p,q<p及(2)所以s>p>q
由(1)得:r最大
所以:r>s>p>q

q + r = p + s ==> q + r + p = 2p + s
p + r > q + s ==> 2p + s > 2q + s ==> p > q
r = p + s - q ==> 2r = p + r + s - q > q + s + s - q = 2s ==> r > s
又s > p
所以r > s > p > q

R>Q

s>p>q,