画出图象:∵kMQ= ?2?2 0?3 = 4 3 ,kMP= ?2?(?3) 0?2 =- 1 2 .要使直线ax+y+2=0与线段PQ相交,则满足? 1 2 ≤kMN≤ 4 3 .∴? 1 2 ≤?a≤ 4 3 ,∴? 4 3 ≤a≤ 1 2 .故答案为[? 4 3 , 1 2 ].