1⼀x+1⼀y+1⼀z=2,1⼀x눀+1⼀y눀+1⼀z눀=1,求1⼀xy+1⼀xz+1⼀yz=?

2025-05-22 11:22:21
推荐回答(1个)
回答1:

∵1/x+1/y+1/z=2,∴1/x^2+1/y^2+1/z^2+2(1/xy+1/xz+1/yz)=4。
又∵1/x^2+1/y^2+1/z^2=1,∴1+2(1/xy+1/xz+1/yz)=4,
得:1/xy+1/xz+1/yz=3/2。