x²+y²-4x+4y+6=0截直线x-y-5=0所得的弦长
人气:390 ℃ 时间:2020-02-05 23:34:08
解答
x-y-5=0x=y+5代和圆方程得(y+5)^2+y^2-4(y+5)+4y+6=0y^2+10y+25+y^2-4y-20+4y+6=02y^2+10y+11=0y1+y2=10/2=5y1y2=11/2(y1-y2)^2=(y1+y2)^2-4y1y2=5^2-4*11/2=25-22=3(x1-x2)^2=(y1+5-y1-5)^2=(y1-y2)^2=3∴弦长=√[(...
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