名校
解题方法
1 . 定义域为D的函数
,若对给定的实数y,函数
有最大值
,我们称
为
的
变换.
(1)设
,
,求此时
的
变换
;
(2)求证:若
,
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4687043abb46943d41a705e3b2cf78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af287ead9fef61e95107a6e265ce412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af287ead9fef61e95107a6e265ce412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1034e904567ea8c9a8483ab2eb769d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af287ead9fef61e95107a6e265ce412.png)
(2)求证:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8f211bd6d468e198dabb7c679f5d4b.png)
您最近一年使用:0次
2 . 已知函数
,
,将
的极小值点从小到大排列,形成的数列记为
,
,首项记为
.
(1)证明
,
;
(2)证明
是单调递增数列;
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3d74bc831a959f5d2a2b016548eba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296875e72d14c4ce76e942a6d8861730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1904bd9ea27a8e91707bcfc50f0f701b.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次