题目内容
5.若A={(x,y)|y=2x+3},B={(x,y)|y=x2},则A∩B={(-1,1),(3,9)}.分析 建立方程组$\left\{\begin{array}{l}{y=2x+3}\\{y={x}^{2}}\end{array}\right.$,从而解得.
解答 解:解方程组$\left\{\begin{array}{l}{y=2x+3}\\{y={x}^{2}}\end{array}\right.$得,
$\left\{\begin{array}{l}{x=-1}\\{y=1}\end{array}\right.$或$\left\{\begin{array}{l}{x=3}\\{y=9}\end{array}\right.$;
故A∩B={(-1,1),(3,9)},
故答案为:{(-1,1),(3,9)}.
点评 本题考查了方程组的解法与集合的运算的应用.
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