题目内容
11.如图所示的阴影部分可用二元一次不等式组表示为$\left\{\begin{array}{l}{x-y≥0}\\{x+y>0}\end{array}\right.$或$\left\{\begin{array}{l}{x-y≤0}\\{x+y>0}\end{array}\right.$.分析 根据不等式组表示平面区域,即可确定阴影部分的对应的不等式组.
解答 解:由图象可知阴影部分在直线y=x的下方,直线y=-x的上方,或在直线y=x的上方,直线y=-x的下方
∴对应的不等式组为$\left\{\begin{array}{l}{y≥x}\\{y<-x}\end{array}\right.$或$\left\{\begin{array}{l}{y≥x}\\{y<-x}\end{array}\right.$,即$\left\{\begin{array}{l}{x-y≥0}\\{x+y>0}\end{array}\right.$或$\left\{\begin{array}{l}{x-y≤0}\\{x+y>0}\end{array}\right.$,
故答案为:$\left\{\begin{array}{l}{x-y≥0}\\{x+y>0}\end{array}\right.$或$\left\{\begin{array}{l}{x-y≤0}\\{x+y>0}\end{array}\right.$.
点评 本题主要考查二元一次不等式组表示平面区域,比较基础.
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