我们通常用“曲率”来衡量曲线弯曲的程度,曲率越大,表示曲线的弯曲程度越大.工程规划中常需要计算曲率,如高铁的弯道设计.若
是
的导函数,
是
的导函数,那么曲线
在点
处的曲率
.已知曲线
,则曲线
在点
处的曲率为__________ ;若
,则曲线
的曲率的平方
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
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更新时间:2024-05-22 23:11:15
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相似题推荐
填空题-单空题
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适中
(0.65)
【推荐1】曲线
在点
处的切线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ebd1e1c7ef67715b74a2af9912fb13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
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适中
(0.65)
【推荐2】函数
在
处的切线过点
,则实数m=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053bf665fde4b8cf9786283f0041142e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
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名校
解题方法
【推荐1】已知
,若对任意
,都有
,则实数t的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc68c31be0ba07c12c812326c0657558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634c9b0f0fa956adebed5e8577b5a0ea.png)
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适中
(0.65)
解题方法
【推荐2】设单位向量
,
的夹角为
,向量
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
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