在平面曲线中,曲率(curvature)是表示曲线在某一点的弯曲程度的数值,如图,圆C1、C2、C3在点Q处的弯曲程度依次增大,而直线在点Q处的弯曲程度最小,曲率越大,表示曲线的弯曲程度越大.曲线的曲率定义如下:若
是
的导函数,
是
的导函数,则曲线
在点
处的曲率
,则余弦曲线
在
处的曲率为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fa72fc4959804b944bfaa93dbe2b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdd8fc5f593f36fedecb3590f27dbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368c73c5b1fc66954165a11ebd9bba5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/5/f103d8d6-33a3-4a00-ab08-0c91676678bc.png?resizew=152)
更新时间:2023-09-05 09:49:19
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【知识点】 基本初等函数的导数公式
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适中
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解题方法
【推荐1】已知函数
的导函数是
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20c983d8191e5ef339d6cd2123919af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c819660d55fd2f3d0887eb7552c2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20c983d8191e5ef339d6cd2123919af.png)
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填空题-单空题
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适中
(0.65)
【推荐2】定义方程
的实数根
叫做函数
的“新驻点”,若函数
,
的“新驻点”分别为
,则
的大小关系为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35679c97cf16aa592343787a756c7c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db9951cce63812acfa2668ef074e7ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6510fdc0b13c5d17e1fa2aa8d9641143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
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