名校
1 . 已知函数
定义域为
,
是奇函数,
,
,
分别是函数
,
的导函数,函数
在区间
上单调递增,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4343f10c051cab3f0522ccbaae21a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-09-07更新
|
552次组卷
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4卷引用:江苏省苏州市2024届高三上学期期初调研考试数学试题
解题方法
2 . 曲率在数学上是表明曲线在某一点的弯曲程度的数值.对于半径为
的圆,定义其曲率
.对于一般曲线,我们可通过曲线上某点处的密切圆半径来描述该点的曲率,其中对于曲线
在点
处的密切圆半径计算公式为
.已知函数
,椭圆
:
,则曲线
在点
处的曲率为____________ ;
上任一点处曲率的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e4bc563e77980d3b3d3fdb31149dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead22014c0d0bdbcb918fd592d1b81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f682f9060f6fe3cfe6c1881325f95619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a02752ec05e9283525a0bf5c792e50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43cc55a797baf71de6d9c6baa4fc8597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7451b947d1adea22bc04070efdd2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f749e2471684db63546a9ce817a6415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46d60036bbef9075ab9cd3b0b0b3507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
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