如果两条直线3x+2y-3=0和6x+my+1=0互相平行,那么它们之间的距离等于?
如果两条直线3x+2y-3=0和6x+my+1=0互相平行,那么它们之间的距离等于?
数学人气:969 ℃时间:2020-01-30 06:53:54
优质解答
两条直线平行,说明斜率一样,所以3:2=6:m∴m=4,点A(1,0)是直线3x+2y-3=0上的点,则:两直线的距离就是点A到直线6x+4y+1=0的距离=(6×1+4×0+1)/(√6×6+4×4)=7/√52=7/2√13
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