已知
,求函数
的最大值M(a)与最小值m(a).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f274f1247962a5b263183922fedfa086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73370fe2dd6dc4c5e13c59f1174974f.png)
更新时间:2019-11-30 22:26:56
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【知识点】 求含cosx的二次式的最值解读
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解答题-问答题
|
较难
(0.4)
名校
【推荐1】已知函数
,
是常数.
(1)当
时,写出函数
的单调区间;
(2)记
,若函数
与
在
处同时取得最小值,求整数
的值;
(3)对于满足(2)中条件的
,记
.若
有
个不相等的实数根,记为
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15aca5572517efbec649c33faddefa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192a521efeb31a902fca1540825ffa6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)对于满足(2)中条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8db528c1038d72a61d82cfdbd220bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cc8b00fb56a8f183d5f53ddf27a046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3d41be26be9622d0cbc9825778b362.png)
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解答题-问答题
|
较难
(0.4)
【推荐2】已知函数
,其中
为自然对数的底数.
(1)证明:
在
上单调递增.
(2)设
,函数
,如果总存在
,对任意
,
都成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b493a1557ab271024d0026d2203fef84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef58eb649b6d20935789175977c77bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8af73bbdedee43e2a99d06ee9c67b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8a6ab0f521c14a67580b934ce6b41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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