解:已知方程:√[(x+2√2)²+y²]+√[(x-2√2)²+y²]=6 √[(x+2√2)²+y²]=6-√[(x-2√2)²+y²] 两边平方:(x+2√2)²+y²=36-12√[(x-2√2)²+y²]+(x-2√2)²+y² x..