∵x^2-(2a+1)x+a(a+1)≤0∴(x-a)(x-a-1)≤0即a≤x≤a+1∴非p:x<1/2或x>1 非q:xa+1又∵非p是非q的必要条件∴非q→非p,非p不能→非q即非q的范围比非p小则a<1/2且a+1>1即0