名校
解题方法
1 . 如果两地的距离是600公里,驾车走完这600公里耗时6小时,那么在某一时刻,车速必定会达到平均速度100公里/小时.上述问题转换成数学语言:
是距离关于时间的函数,那么一定存在:
,
就是
时刻的瞬时速度.前提条件是函数
在
上连续,
在
内可导,且
.也就是在曲线的两点间作一条割线,割线的斜率就是
,
是与割线平行的一条切线,与曲线相切于
点.已知对任意实数
,
,且
,不等式
恒成立,若函数
,则实数
的可能取值为( )
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2021-09-17更新
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2卷引用:福建师范大学附属中学2022届高三10月月考数学试题