1 . (提示:请从以下两个不等式选择其中一个证明即可,若两题都答以第一题为准)
(1)设
,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf789c1f0f7a62ff1348314a4fa0b7b.png)
求证:
;
(2)设
(
)求证:
.
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c178eb9aa6927ad4c4f8fbdd07cb2e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61922ae2d36b4e6a5a03682eadb18598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee1569b400d0560d7c42228ad9df6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf789c1f0f7a62ff1348314a4fa0b7b.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec33c007140628931d52d365447deac4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c178eb9aa6927ad4c4f8fbdd07cb2e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee1569b400d0560d7c42228ad9df6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cc82a7fffa49a4e29ac53e2dcacf76.png)
您最近一年使用:0次
13-14高一·全国·课后作业
解题方法
2 . 设
为正数,利用排序不等式证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd228c27daed5420401b2119c332f3be.png)
您最近一年使用:0次