1问题的提出题目经过点P(1,1)的直线l和双曲线x2-y2/2=1交于A,B两点,并且P是弦AB的中点,问直线l是否存在,如果存在,求出直线l的方程;如果不存在,说明理由.对于这道题,我们都非常熟悉,可以用点差法来处理,解题过程如下:解当直线l的斜率不存在时,显然不满足要求; Question raised Question subject line P (1,1) of the straight line l and hyperbola x2-y2 / 2 = 1 to A, B points, and P is the midpoint of the string AB, asked whether the existence of a straight line l, if Exist, find the equation of the straight line l; if not, explain the reasons for this problem, we are very familiar with the point difference method can be used to solve the problem is as follows: Solution When the slope of the line l does not exist, obviously not fulfil requirements;