已知函数
(
)
(1)若曲线
在点
处的切线经过坐标原点,求实数a;
(2)若
时
在
上的最小值是
,求a.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fb3021c658b828d435c00e78b7f25f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf46dc84732526c826d84a71c407ea89.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0b6ca237b90b49a91d9d74d007efdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0152503a0a8d2bd3c3166f48c46a829.png)
更新时间:2021-04-01 21:58:11
|
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解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】设函数
.
(1)若曲线
在点
处的切线与
垂直,求函数
的解析式;
(2)如果对于任意的
,都有
成立,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390b4326fa2a6722e3ecdd1220c67d4b.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04836ba2906cf6f1e9aecd2a00824aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)如果对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d51d1b8ff3c70b931f2efc15b1eac91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae89df709cd87e8268c67ce12064a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-问答题
|
适中
(0.65)
【推荐2】已知函数
.
(1)讨论
的单调性;
(2)若曲线
的一条切线
的斜率为
,求
与曲线
的公共点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502a07fdcd89ff153da2394d1a96e911.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b407c70fc736075bd7831333bcd605c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】已知函数
.
(1)设
,证明:当
时,
;
(2)若
在区间
上存在最小值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0151d9e13e868d7d6ec0dd6dffd1657.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2608a57caffde627dbf140ca22a2ff8a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f180718c0b7b3de58a11c9b8b70621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知函数
,且
是函数
的两个极值点.
(1)求
与
的值;
(2)若函数
在
上有最小值为
,在
上有最大值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf2c4560637b42a88bc0691ec37258d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02d9f149c12ef612345a0617650215e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c426aab9c6749ecbec727c528c036f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,若函数
有最小值2,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279f1459cf4a9cf4e85d09e3dd775f2e.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/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af36dc133354db91ff35e04a88d75e0a.png)
(1)当
时,求函数
的单调区间;
(2)若
在
上的最小值为1,求实数a的取值范围;(其中e为自然对数的底).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af36dc133354db91ff35e04a88d75e0a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0b6ca237b90b49a91d9d74d007efdc.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐3】已知
,其中
.
(1)当
时,求
的极值;
(2)求
在区间
上的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9421af8ffa2f416c911c2281172b92d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3defa53dcb2666f6647a1b7ba1e1a83.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
您最近一年使用:0次