若对任意满足题意的实数x有sin(x-π/4)+cos(x-π/4)<m<tan²x+2,

发布时间:2021-03-16 09:21:26

若对任意满足题意的实数x有sin(x-π/4)+cos(x-π/4)

网友回答

因为sin(x-π/4)+cos(x-π/4)=√2sin(x-π/4+π/4)
=√2sinx
≤√2tan²x+2≥2
所以√2≤m≤2
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