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双曲线4x^2-9y^2=36被点(2,1)平分的弦所在直线方程
人气:231 ℃ 时间:2020-02-03 19:24:42
解答
y-1=k(x-2)y=kx+(1-2k)代入(4-9k²)x²-18k(1-2k)x-9(1-2k)²-36=0x1+x2=18k(1-2k)/(4-9k²)则重点横坐标=(x1+x2)/2=9k(1-2k)/(4-9k²)=29k-18k²=8-18k²k=8/9所以是8x-9y-7=0...
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