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一、定义新概念——“2阶行列式”例1 将4个数 a,b,c,d 排成2行、2列,两边各加一条竖直线记成|a b c d|,定义|a b c d|=ad-bc,上述记号就叫做2阶行列式.若|x+1 x-1 1-x x+1|=6,则 x=____.解析解决这类新运算的关键是读懂、理解新运算的规定,难度不大,是高中数学中将要学到的知识内容.根据所给信息,得(x+1)(x+1)-(x-1)(1-x)=6,化简整理,得 x~2=2,所以 x=±2~(1/2).故应填±
First, the definition of a new concept - “2 order determinant ” Example 1 The four numbers a, b, c, d are arranged in 2 rows, 2 columns, each side plus a vertical line is recorded |abcd|, definition |abcd|=ad-bc, the above token is called a 2-order determinant. If |x+1 x-1 1-x x+1|=6, then x=____. The key to solving this type of new operation is to read It is not difficult to understand and understand the rules of new calculations. It is the content of knowledge that will be learned in high school mathematics. Based on the information given, (x+1)(x+1)-(x-1)(1-x) =6, simplify the finishing, get x ~ 2 = 2, so x = ± 2 ~ (1/2). It should be filled ±