解题方法
1 . 若函数
在
内有最小值,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac589b3eb56e5c3e290fdd20aecff903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523680282c9fcd47dbc161539d49a6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 下列导数公式正确的选项序号是_________ .
①
(其中
且
);
②
;
③
(其中
且
);
④
(其中
且
)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269c90a702e49c4d2b3262a7348b531e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae87a22e512ae0367940d303beb4f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3785a32c15c4ed1944e597a53d8069e6.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4732fe13220ab20a82f96d65aabc4fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ffa20008862caa75ac0461ca7b9c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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解题方法
3 . 已知曲线
在点
处的切线的倾斜角为
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d864fd25427a72dfd2916f7f81be748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知函数
在
处取得极小值
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aebe265ba5f98c35ea7bb23cecc1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a44d321ae2abfc4e566933a92637d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
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解题方法
5 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fb63dc8d4741414cf5a262be0c712a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c54f408d1dc7ba6bd0b0c0d1e362357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fb63dc8d4741414cf5a262be0c712a.png)
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解题方法
6 . 若函数
在区间
上单调递增,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84570de5269ea28d02e127f20f1e1056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 若当
时,
无限趋近于一个确定的值,则称这个确定的值为二元函数
在点
处对x的偏导数,记为
,即
若当
时,
无限趋近于一个确定的值,则称这个确定的值为二元函数
在点
处对y的偏导数,记为
,即
已知二元函数
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ef4d7f0f6d30a19ec9cdc38292fe4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51e91889030089d673d5be176285e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a1d0dba29a77dd111efcde543d6c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6a4781b020b879519321e05c299f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce932ad59093d127b5ed26a604ba58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16679ab3fd44821adad3ffb1c07820b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89c85c3e1599b32abfb0c110eeb8c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9075362afb576736e4807884facf7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a1d0dba29a77dd111efcde543d6c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6a4781b020b879519321e05c299f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf78a454b544d8456579846fd3fc5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abd1dffd364401d6db54db52c47f39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc5d136f0213fb75304724940b83349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b1b075a99dd36d0ceab0a4ad6f986.png)
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解题方法
8 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d146b02847bb127c2fadb253e587d7d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d146b02847bb127c2fadb253e587d7d.png)
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名校
9 .
,则
在
处的切线方程为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495871fa8d7e722db3caf3429a246915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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10 . 已知函数
,其中
是
的导函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6ffee15075ffa58a02823b508ff03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
您最近一年使用:0次