名校
1 . 已知函数
,则曲线
在点
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdb554c7e11b6d212f5fea2a84f0f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
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2 . 复数
的虚部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf57c1fb5093d920f282e08cd3d924.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd6ffa9a48b87b3bd61dacc83c56674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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解题方法
4 . 函数
在
上的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37afa854716507fca59b6210f79ed59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
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名校
5 . 已知
是定义在
上的可导函数,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519456f652f00e8ed4bacabc7d57893.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137ad18330b4907ba189474a28e2d5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519456f652f00e8ed4bacabc7d57893.png)
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6 . 一般地,函数
的单调性与导函数
的正负之间具有如下的关系:在某个区间
上,如果_________ ,那么函数
在区间
上单调递增;在某个区间
上,如果_________ ,那么函数
在区间
上单调递减.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
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7 . 事实上,对于两个函数
和
的商的导数,我们有如下法则:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae54ea79b90e1710336975ad63f55cd.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5085887422e1722dd9bdfd14c7fc8ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae54ea79b90e1710336975ad63f55cd.png)
您最近一年使用:0次
8 . 函数
在
处的导数
就是函数
的图象在点
处的切线的_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91421e7703d87617f50270178decd18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25be20e3724274132cb83b16deaeecfc.png)
您最近一年使用:0次
9 . 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)
您最近一年使用:0次
10 . 若函数
,则函数在
处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d93919368b444782513b3ab0de59d229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
您最近一年使用:0次