名校
1 . 已知
,
,
是
的三条边.
(1)求证:
;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95badfaf9985a8dc7a3a1b0d64784df0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b56951cc74f9eee0177d856acc59e6.png)
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2 . 选修4—5:不等式选讲
已知
,且
.
(Ⅰ)试利用基本不等式求
的最小值
;
(Ⅱ)若实数
满足
,求证:
.
已知
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/a6c426a192e44d81ae4cdd37b6363a3a.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/1bcd3a14be964024b61a7f58c3b55042.png)
(Ⅰ)试利用基本不等式求
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/a1edb778a92f49fe9b83512d7adfc829.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/ebb3ee0aa5384a1185627bedeacd5537.png)
(Ⅱ)若实数
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/9cdd607c4cf24c93a680ef8dace75c17.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/a19fde5c161a4d24974afb4945179557.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945356288/STEM/ab47065bcfc6497c92b144bd282d77a3.png)
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