已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497a9902950cbe211355b016a354288f.png)
(1)若
是
的极值点,求
在
上的最大值和最小值.
(2)若
在区间上
是增函数,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497a9902950cbe211355b016a354288f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad96a0492c77ae833043352654a98b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38713bb86ac5a61c195c34d59bbc6fb7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2017-07-25 19:38:29
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适中
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【推荐1】已知函数
.
(1)讨论
单调性;
(2)取
,若
在
上单调递增,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc31d4cd5724b84273aa539f41d3b43a.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7393fc425948d4261bb6c7d67f88e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac51b35e61394a52027a584fbabed809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0b6ca237b90b49a91d9d74d007efdc.png)
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【推荐2】已知函数
.
(1)若函数
的图象在
处的切线方程为
,求
的值;
(2)若函数
在
上是增函数,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13be4d05397067994087333d60f199b4.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐1】如图,已知点A(11,0), 函数
的图象上的动点P在x轴上的射影为H,且点H在点A的左侧.设
,
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/3bc6c565-13a0-4dca-815a-6479611f138b.png?resizew=157)
(1)求函数
的解析式及
的取值范围;
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf2eba6a3b353cd10cc286e63ca5c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce73e55718665fe9b73ed713e2c8c32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b694b55240c0382a87e0d90505ae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/3bc6c565-13a0-4dca-815a-6479611f138b.png?resizew=157)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
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解题方法
【推荐2】函数
在
和
单调递增,在
单调递减.
(1)求函数
的解析式;
(2)求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b9151cf074899653c4d08bf9ccec92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70792aeffca5b422d35d9c06f36d1fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884cab7f3bf7e0fd52afe251e3b0098c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f096af0c29d79d416faaa12d471a2ed5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82eebb523692d3fbd2e490776616b503.png)
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解题方法
【推荐3】已知函数
,其中
.
(1)当
时,求曲线
在点
,
处切线方程;
(2)若对于任意的
,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be406249e9350b4938dd91c11e4053f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced922d8d5c0697c23fa4a70cb4bf8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74cf557b0f9cab50e9fb8d83cfadf78.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babc2bdb59e9ae1821bd48e7395474d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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适中
(0.65)
【推荐1】已知命题
:
,
;命题
:函数
无零点.
(1)若
为假,求实数
的取值范围;
(2)若
为假,
为真,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe318c8c85ee19aac14b52cab972f0b8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57930d668138cfd28dab55f24f0647e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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适中
(0.65)
名校
【推荐2】已知函数
在
处有极值
.
(1)求
,
的值;
(2)若
,函数
有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c62a0f3c5e245baae998f587ca435e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3a68f3bed62608b3cda27f613629ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c99f0bf8c43d08d3eca8084ed8b50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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适中
(0.65)
解题方法
【推荐3】已知函数
.
(1)若
为函数
的极值点,求函数
的值域;
(2)是否存在
值,使得不等式
对任意
恒成立?若存在,求
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2837a54d4c573e08448f6e651b7e4b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628ca0cdb7a8cbf500c7520edb1a44fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次