设弦的二点坐标分别是A(X1,Y1),B(X2,Y2)故有:x1^2/4+y1^2/2=1x2^2/4+y2^2/2=1二式相减得到:(x1+x2)(x1-x2)/4+(y1+y2)(y1-y2)/2=0又P(1,1)为AB的中点,则有 x1+x2=2,y1+y2=2所以有:(x1-x2)=-(y1-y2)*2即直线的斜率k=(y1-y2)/(x1-x2)=-1/2所以,直线方程是y-1=-1/2(x-1)即是y=-1/2x+3/2