题目内容
15.已知|y+2x-1|+(y-2)2=0,则(xy)2015的值为-1.分析 根据非负数的性质列出方程求出x、y的值,代入所求代数式计算即可.
解答 解:根据题意得:$\left\{\begin{array}{l}{y+2x-1=0}\\{y-2=0}\end{array}\right.$,
解得:$\left\{\begin{array}{l}{x=-\frac{1}{2}}\\{y=2}\end{array}\right.$,
则原式=(-1)2015=-1.
故答案是:-1.
点评 本题考查了非负数的性质:几个非负数的和为0时,这几个非负数都为0.
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