√6sinx+√2cosx=1/m
2√2sin(x+π/6)=1/m
∴1/m∈[-2√2,0）∪（0,2√2]
当m＞0时,0＜1/m≤2√2=>m≥√2/4
当m＜0时,-2√2≤1/mm≤-√2/4