设数集M={x|m≤x≤m+},N={x|n-≤x≤n},且M、N都是集合{x|0≤x≤1}的子集,

设数集M={x|m≤x≤m+},N={x|n-≤x≤n},且M、N都是集合{x|0≤x≤1}的子集,如果把b-a叫做集合{x|a≤x≤b}的“长度”,那么集合M∩N的“长度”的最小值是

A.              B.              C.              D.

答案

解析:集合M的长度为,集合N的长度为,因为M、N都是集合{x|0≤x≤1}的子集,而{x|0≤x≤1}的长度为1,由此得集合M∩N的“长度”的最小值是()-1=.

答案:C

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