过点M(2,0)作斜率为1的直线L,交抛物线Y*2=4X于A,B俩点,求AB的长
过点M(2,0)作斜率为1的直线L,交抛物线Y*2=4X于A,B俩点,求AB的长
数学人气:615 ℃时间:2020-02-05 08:48:30
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过点M(2,0)做斜率为1的直线l 为y=x-2 (点斜式)y^2=4xx^2-4x+4=4xx^2-8x+4=0 x1=4+2√3 x2=4-2√3那么Y1=2+2√3 Y2=2-2√3 AB绝对值=根号下(4+2√3 -4+2√3)^2+(2+2√3 -2+2√3)^2=48+48=96所以AB=4√6...
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