名校
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a45190981deec3afa7fa82e93f8004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
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名校
解题方法
2 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee3e73261f55b5dfdac6945feca1b11.png)
A.1 | B.2 | C.![]() | D.![]() |
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3 . 已知函数
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d813266142d4ee0c6ffd7d1ef1611a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f108eb0e01d5467c0dd5c766a1fd7dde.png)
A.1 | B.![]() | C.2 | D.e |
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4 . 下列结论正确的是( )
A.![]() | B.![]() |
C.若![]() ![]() | D.若![]() ![]() |
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解题方法
5 . 函数
的图象如图所示,
是函数
的导函数,令
,
,
,则下列数值排序正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00694f5a7bef83eb11b378b5d6616b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b009772b07feeb51d519e50365ec68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c686f02081010fd7ae0e280c5b1c80.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 物体运动的方程为
,则
时的瞬时速度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acedd59136c4b515198bd8e8ceb7d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
A.2 | B.5 | C.8 | D.16 |
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7 . 设函数
在
处存在导数为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc529cc436a7b7d8f6d8f2e79a2ec2.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc529cc436a7b7d8f6d8f2e79a2ec2.png)
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名校
8 . 设函数
在
上可导,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc418b52b9016b7ab60a9827cdd23d8.png)
A.![]() | B.![]() | C.![]() | D.以上都不对 |
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9 . 已知曲线
,求:
(1)
的导数;
(2)曲线在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a861a6effeb6c40b2f5af35b51b9f3d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)曲线在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81158db42116f74e7b26e100f88dd535.png)
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解题方法
10 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d58e1c1161d72de2bcfe3c8acc9e715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94475b3d8a67ebfffc45210d7d1ee4c8.png)
A.1 | B.2 | C.![]() | D.8 |
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