已知p：|x-3|≤2，q：（x-m+1）（x-m-1）≤0，若￢p是￢q的充分而不必要条件，则实数m的取值范围为______．
∵log2|1-
|＞1；x-1 3
∴：|x-3|≤2，即-2≤x-3≤2，
∴1≤x≤5，
设A=[1，5]，
由：（x-m+1）（x-m-1）≤0，
得m-1≤x≤m+1，
设B=[m-1，m+1]，
∵￢p是￢q的充分而不必要条件，
∴q是p的充分而不必要条件，
则B是A的真子集，
即
，m-1≥1 m+1≤5
∴
，m≥2 m≤4
即2≤m≤4，
故答案为：[2，4]．
| 完形填空。 |
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