1/x-2+k/x+2=4/x²-4(x+2+kx-2k)/(x²-4)=4/(x²-4)x+kx=4-2+2kx=(2+2k)/(1+k)∵关于x的分式方程1/x-2+k/x+2=4/x²-4有增根x=2∴2=(2+2k)/(1+k) 2+2k=2+2k恒成立k可取任意值祝学习进步
