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1 . 已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17051f1ed050b0864c0d881a18fd257c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a587fb0ee137864d8ecd72274540af38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2 . 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)
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3 . 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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4 . 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)
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名校
5 . 过点
可作
的斜率为1的切线,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2832f82fdeafa819c92ca5c1e74eb5ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2399c2a712a2890dcd0b195d3b9f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
6 . 函数
的极值点为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d41008b08d73b9decde93c0ddcf0298.png)
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7日内更新
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28次组卷
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2卷引用:甘肃省定西市临洮县第二中学2023-2024学年高二下学期第一次月考数学试题
名校
7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756433c66dfecdc923053909302a56d.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2324ef92f0ace435b3d9e7b1f832c0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756433c66dfecdc923053909302a56d.png)
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8 . 已知
为函数
的导数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9127192aad98a69f269155fcab9e220.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a42d73ab2bceb7cca95669e39dcbf7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9127192aad98a69f269155fcab9e220.png)
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名校
9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4369deb33be7c83ec37409f98ba8ba57.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4369deb33be7c83ec37409f98ba8ba57.png)
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10 . 如图,直线
是曲线
在点(5,6)处的切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d2325bee8bed80ada6417d4a12cad3.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d2325bee8bed80ada6417d4a12cad3.png)
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