设m>n>0,m²+n²=4mn,则(m²-n²)÷mn的值等于( ) A.2√3 B.√3 C.√6 D.3
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/05 13:09:01
![设m>n>0,m²+n²=4mn,则(m²-n²)÷mn的值等于( ) A.2√3 B.√3 C.√6 D.3](/uploads/image/z/431830-46-0.jpg?t=%E8%AE%BEm%3En%3E0%2Cm%26%23178%3B%2Bn%26%23178%3B%3D4mn%2C%E5%88%99%28m%26%23178%3B-n%26%23178%3B%29%C3%B7mn%E7%9A%84%E5%80%BC%E7%AD%89%E4%BA%8E%28+%29+A.2%E2%88%9A3+B.%E2%88%9A3+C.%E2%88%9A6+D.3)
x){n_]Nv5y1S*<=7
{|OCASQQ,c'=0\mim~
]gFyyqFf@ӟu6<ٽ(`lΧ۟C֡ѡaСdWOn=
@@mʞ6BÍy7
ϺW:$AA$5 z8
设m>n>0,m²+n²=4mn,则(m²-n²)÷mn的值等于( ) A.2√3 B.√3 C.√6 D.3
设m>n>0,m²+n²=4mn,则(m²-n²)÷mn的值等于( ) A.2√3 B.√3 C.√6 D.3
设m>n>0,m²+n²=4mn,则(m²-n²)÷mn的值等于( ) A.2√3 B.√3 C.√6 D.3
m^2+n^2+2mn=(m+n)^2=6mn,所以m+n=根号六mn
m^2+n^2-2mn=(m-n)^2=2mn,所以m-n=根号二mn;
所以 m^2-n^2=(m+n)(m-n)=二倍根号3mn,所以原式选择A
²+n²=4