到點(diǎn)A(0,-1)和B(0,1)的斜率之積為-1,則動(dòng)點(diǎn)P與A的軌跡方程_____
熱心網(wǎng)友
解:設(shè)P(x,y)直線PA的斜率Ka=(y+1)/x直線PB的斜率Kb=(y-1)/x∴[(y+1)/x][(y+1)/x]=-1∴x^+y^=1(y≠0)
熱心網(wǎng)友
(y+1)/x 乘（y-1)/x=-1,即x^2+y^2=1
到點(diǎn)A(0,-1)和B(0,1)的斜率之積為-1,則動(dòng)點(diǎn)P與A的軌跡方程_____
解:設(shè)P(x,y)直線PA的斜率Ka=(y+1)/x直線PB的斜率Kb=(y-1)/x∴[(y+1)/x][(y+1)/x]=-1∴x^+y^=1(y≠0)
(y+1)/x 乘（y-1)/x=-1,即x^2+y^2=1