已知點(diǎn)P(2,-3),Q(3,2),直線ax+y+2=0與線段PQ相交,則實(shí)數(shù)a的取值范圍是_.
已知點(diǎn)P(2,-3),Q(3,2),直線ax+y+2=0與線段PQ相交,則實(shí)數(shù)a的取值范圍是______.
優(yōu)質(zhì)解答
畫出圖象:
∵
kMQ==,
kMP==-
.
要使直線ax+y+2=0與線段PQ相交,
則滿足
?≤kMN≤.
∴
?≤?a≤,
∴
?≤a≤.
故答案為
[?,].
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