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两定点坐标分别为A(-1,0),B(2,0),动点M满足∠MBA=2∠MAB,求动点M的轨迹方程.
人气:352 ℃ 时间:2020-05-25 14:55:01
解答
∠MBA=2∠MAB,设:M(x,y)1、若∠MBA=90°,此时M(2,3)2、若∠MBA≠90°,设直线MA的斜率是k1=tan∠MAB=y/(x+1),直线MB的斜率是k2=tan(180°-∠MBA)=y/(x-2)则:∠MBA=2∠MABtan∠MBA=tan(2∠MAB)tan∠MBA=[2tan∠MA...你化简-y/(x-2)=[2y/(x+1)]/[1-y^2/(x+1)^2] 化简错了吧,我化简得3x^2-y^2-3=0 感谢你的解答!化简,得:2(x+1)(x-2)+(x+1)²-y²=03x²-y²-3=0即:x²-y²/3=1
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