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设x>y>z,n属于自然数,且1/(x-y)+1/(y-z)>/n/(x-z)恒成立,则n的最大
人气:277 ℃ 时间:2020-05-18 00:30:57
解答
∵1/(x-y)+1/(y-z)≥n/(x-z)两边同时乘以(x-z):(注:x-z>0)(x-z)/(x-y)+(x-z)/(y-z)≥n通分:[(x-z)*(x-z)]/[(x-y)*(y-z)]≥n令x-y=a,y-z=b则(a+b)*(a+b)=(x-z)*(x-z)∴[(x-z)*(x-z)]/[(x-y)*(y-z)]≥n=====>(a+...
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