已知m∈R,直l:mx-(m2+1)y=4m,則直線l斜率的取值范圍 _ .
已知m∈R,直l:mx-(m2+1)y=4m,則直線l斜率的取值范圍 ___ .
優(yōu)質(zhì)解答
m∈R,直l:mx-(m
2+1)y=4m,則直線l斜率:
=
,
當(dāng)m=0時(shí),
=0,
當(dāng)m>0時(shí),
≤,
當(dāng)m<0時(shí),
≥-,
所以直線的斜率的范圍是:
[-,].
故答案為:
[-,]
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