已知函数
.
(1)求函数
在
上的值域;
(2)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0aa9d781436ea046ee072ca8482f5b.png)
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/379a7409f958225f03db11f79cb5be07.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6247e19111298bc38eb361c43b19a3a0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0aa9d781436ea046ee072ca8482f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6247e19111298bc38eb361c43b19a3a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0341a1d06340c4b070a30d9e3a7d5029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2018-09-25 10:35:42
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相似题推荐
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(0.4)
名校
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d8fb0f2f65778f8f3e8f9509e77740.png)
(1)讨论
的单调性;
(2)当
时,若
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d8fb0f2f65778f8f3e8f9509e77740.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de35b2de0ac0a538b91b43bf6cbf3452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】已知函数
.
(1)试讨论函数
的单调性;
(2)令
,若
在
恒成立,求整数a的最大值.
(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797670fdc79d3f931ab2b51293147cc2.png)
(1)试讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c956fcfa2be20b1d06ec52e0c4eb686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0219ea9600c00b1379513cd17fff9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9aecaae6d4d37ed1a26cbf22705960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d09d1ee0c3372e5d153067a866befe.png)
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解题方法
【推荐3】设函数
,
表示
的导函数.
(1)求函数
的单调递增区间;
(2)当
为偶数时,若函数
的图象恒在函数
的上方,求实数
的取值范围;
(3)当
为奇数时,设
,数列
的前
项和为
,证明不等式
对一切正整数
均成立,并比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d65cc2223ad9962d34105f2a75b756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80063d45a0c9dc6f8c56eba86b23a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe96ccf7d78566dead981aa9bf85ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0993a7e1439a5dc308c32cbb1b89147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e835940e4b23dacc4a121b392636da3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27168f68700b73325dd152757791d30.png)
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【推荐1】已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5f1aa9d39a9ee3077e3e1ec98183c0.png)
(1)若
,试确定函数
的单调区间;
(2)若
,且对于任意
,
恒成立,求实数k的取值范围;
(3)令
,若至少存在一个实数
,使
成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88626ee8ce1c749a130571f0b5e5245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5f1aa9d39a9ee3077e3e1ec98183c0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e1721a86ad11b90bd646647e69eb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb8d85dc9d649109dfdeaf1362f7c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8b412b7053aea276c8e8dd3465af62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f265fcac950a454f908870ad864af8.png)
您最近一年使用:0次
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f36b36c181704978ba902cd5fd920dc.png)
(1)求
的单调区间
(2)若
在
上恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f36b36c181704978ba902cd5fd920dc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfdbc0f1bc3f185f9827c76150940524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe29e66d8c062cc4fde8943bbc14b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db60e517248e75c3b7b75408a92df21.png)
您最近一年使用:0次
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较难
(0.4)
【推荐3】已知函数
.
(1)求函数
的单调区间和最小值;
(2)若函数
在
上的最小值为
,求
的值;
(3)若
,且
对任意
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ed99a74e126a05cb520f19c094020.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b3f443bff8bce4297108737c3d67ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754cc9374c8193dadb6875fb8a3fefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecef4664509b96eb568177a619ba43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次