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两条曲线相切说明什么
更新时间: 2020-10-30 00:00:00  

两条曲线相切说明两曲线在交点处的切线斜率(一阶导数)相同,切点处y值相等,且两曲线在该点附近不重合。这种情况可列出两个曲线方程,两个方程联立后可解。

另一种解法是,根据直线方程,同时存在一共同点且斜率一样的两条直线,且可以证明是两条直线重合。解法如下:

y=kx+m

y=kx+n

设公共点为(a,b),

b=ka+m

b=ka+n

则m=n。

关键词: 曲线 相切 说明 什么

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