1 . 下列表述中正确的是( )
A.若![]() ![]() ![]() |
B.![]() |
C.已知函数![]() ![]() |
D.若![]() ![]() |
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2 . 已知函数
满足
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42e94f180ab0fd5eaf2e84d7920dab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ed1dc22ee2643f97275719ea10250f.png)
A.![]() | B.0 | C.1 | D.![]() |
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3 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf11a300f172ad52031c446abf55369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf76545db3faceb85199452119c7d51.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d541211073469c92f2c8636b090128d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98362b324cf72c06c475c0f7bea3f1bf.png)
A.1 | B.![]() | C.2 | D.4 |
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5 . 已知函数
,则
在
处的导数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf5a5b3deb7d64f28ec93505d93bd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60eeccd121aa2d2bfe10b29a058e4866.png)
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解题方法
6 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)若
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4c3050650dca8f3cff551501f2bb90.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04959523a28786962d51cfb43a8767d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9051f475d3f964c1cb3981b75d4a3715.png)
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7 . 已知函数
,
,若两个函数图象有两条公切线,以四个切点为顶点的凸四边形的周长为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577e691feafc7b4972dabb6295788f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafa8e628e4995e60cc3400028e900b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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8 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6566e9e1000bfc246f959ebedd81e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01cdb4a84f02a75eb447b54f73f7df6.png)
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9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e6d77aabbebe52e7aca993368d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65dcd28f1a82c7dff18fdff8e4e991bf.png)
A.2 | B.3 | C.4 | D.5 |
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10 . 已知函数
在
处的切线方程为
.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de3d273957f3735e0a136000a637c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc802cd25b8857ad239f59e663b15d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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