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sinx+cosx=√2(√2/2*sinx+√2/2*cosx) =√2(cos45°*sinx+sin45°*cosx) =√2sin(x+45°) 所以 -√2≤√2sin(x+45°)≤√2 故-√2≤sinx+cosx≤√2 即-√2≤√2m≤√2 -1≤m≤1
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