a>b>1,M=a-根号b,N=a+b-2（根号ab）,比较M,N的大小.
人气：339 ℃ 时间：2020-02-03 22:44:11
解答
M-N=a-根号b-(a+b-2根号ab)
=2根号ab-根号b-b
=根号b(2根号a-1-根号b)
=根号b(根号a-根号b+根号a-1)
因为a>b>1,所以根号a>根号b>1
根号a-根号b>0,根号a-1>0
所以M-N>0.M>N
推荐
- 已知a大于b大于c大于1,设m=a-根号c,n=a-根号b,p=2((a+b)/2-根号ab),比较m,n,p的大小
- 以知a>b>c>1,设M=a-根号c,N=a-根号b.P=2(a+b/2-根号ab).比较M.N.P的大小
- （2）a+b≥2根号ab 直接运用(2)中的结论比较m+1与根号m(m+2)的大小.m≥0
- 设p=根号（ab）+根号（cd）,q=根号（ma+nc）*根号（b/m+d/n）判断p,q的大小关系.
- 已知A=根号6+根号2,B=根号5+根号3,比较AB的大小
- 过去式 they were sang 还是they was sang 和 ...he were slept 还是 he was slept?.谢
- “This is ______ most useful reference book,” a teacher from ______ European country told us in cl
- he makes toys in the factory哪里错了
猜你喜欢
