一次数奥课上 ,我与同学们一道解方程组x1 +x2 x3=2 ,x2 +x1 x3=2 ,x3+x1 x2 =2 ,利用常规解法及整体代换x1 x2 x3=p两种解法 ,获解 (1,1,1)、(-2 ,-2 ,-2 ) .继而有一同学类比此题提出在R内解以下方程组x1 +x2 x3x4 =2 ,x2 +x1 x3x4 =2 ,x3+x1 x2 x4 =2 ,x4 +x1 x2 x3=2 ,我们 For a number of courses, I worked with my classmates to solve the equations x1 +x2 x3=2, x2 +x1 x3=2, x3+x1 x2 =2, using the conventional solution and the whole substitution method x1 x2 x3=p. ,Solve (1,1,1), (-2 ,-2 ,-2). Then there is a classmate analogy to this problem and propose to solve the following equation in R: x1 +x2 x3x4 =2, x2 +x1 x3x4 =2 X3+x1 x2 x4 =2 ,x4 +x1 x2 x3=2 , we