若对任意满足题意的实数x有sin(x-π/4)+cos(x-π/4)
问题描述:
若对任意满足题意的实数x有sin(x-π/4)+cos(x-π/4)
数学人气:476 ℃时间:2020-04-27 08:04:27
优质解答
因为
sin(x-π/4)+cos(x-π/4)=√2sin(x-π/4+π/4)
=√2sinx
≤√2
tan²x+2≥2
所以√2≤m≤2
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答
因为
sin(x-π/4)+cos(x-π/4)=√2sin(x-π/4+π/4)
=√2sinx
≤√2
tan²x+2≥2
所以√2≤m≤2