ab⼀a+b=1⼀3, bc⼀b+c=1⼀4,ac⼀a+c=1⼀5.求abc⼀ab+bc+ac的值

2024-12-21 19:10:17
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回答1:

a+b/ab=3,1/a+1/b=3.同理1/b+1/c=4,1/a+1/c=5.三式相加得1/a+1/b+1/c=6.ab+bc+ac/abc=6,abc/ab+bc+ac=1/6