题目内容
19.写出二元一次方程组$\left\{\begin{array}{l}{y=x}\\{y={x}^{2}}\end{array}\right.$的解集.分析 把y=x代入y=x2,可得x2-x=0,解得x,进而解出.
解答 解:把y=x代入y=x2,可得x2-x=0,解得x=0或1.
由x=0,可得y=0;由x=1,可得y=1.
∴原方程组的解为:$\left\{\begin{array}{l}{x=0}\\{y=0}\end{array}\right.$,$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$.
∴原方程组的解集为{(x,y)|$\left\{\begin{array}{l}{x=0}\\{y=0}\end{array}\right.$,$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$}.
点评 本题考查了代入消元法解方程组,考查了计算能力,属于基础题.
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