Question

15．在方程组$\left\{\begin{array}{l}{2x-y=1}\\{y=3x+1}\end{array}\right.$、$\left\{\begin{array}{l}{x=2}\\{3y-x=1}\end{array}\right.$、$\left\{\begin{array}{l}{x+y=0}\\{3x-y=5}\end{array}\right.$、$\left\{\begin{array}{l}{xy=1}\\{x+2y=3}\end{array}\right.$、$\left\{\begin{array}{l}{\frac{1}{x}+\frac{1}{y}=1}\\{x+y=1}\end{array}\right.$、$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$中，是二元一次方程组的有（　　）

• A． 2个
• B． 3个
• C． 4个
• D． 5个

Answer 1

分析 二元一次方程满足的条件：为整式方程；含有2个未知数；未知数的项的次数是1；两个二元一次方程组合成二元一次方程组．

解答 解：在方程组$\left\{\begin{array}{l}{2x-y=1}\\{y=3x+1}\end{array}\right.$、$\left\{\begin{array}{l}{x=2}\\{3y-x=1}\end{array}\right.$、$\left\{\begin{array}{l}{x+y=0}\\{3x-y=5}\end{array}\right.$、$\left\{\begin{array}{l}{xy=1}\\{x+2y=3}\end{array}\right.$、$\left\{\begin{array}{l}{\frac{1}{x}+\frac{1}{y}=1}\\{x+y=1}\end{array}\right.$、$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$中，
是二元一次方程组的有$\left\{\begin{array}{l}{2x-y=1}\\{y=3x+1}\end{array}\right.$、$\left\{\begin{array}{l}{x=2}\\{3y-x=1}\end{array}\right.$、$\left\{\begin{array}{l}{x+y=0}\\{3x-y=5}\end{array}\right.$、$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$．
故选C．

点评 主要考查二元一次方程组的概念，要求熟悉二元一次方程的形式及其特点：含有2个未知数，最高次项的次数是1的整式方程．