2Y+Z/X = 2X+Y/Z= 2Z+X/Y =K则K=?
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2Y+Z/X = 2X+Y/Z= 2Z+X/Y =K则K=?
2Y+Z/X = 2X+Y/Z= 2Z+X/Y =K
则K=?
2Y+Z/X = 2X+Y/Z= 2Z+X/Y =K则K=?
3
x/(2y+z)=z/(2x+y)=y/(2z+x)=k
则
(2y+z)/x=(2x+y)/z=(2z+x)/y=1/k
根据何比定理
(2y+z)/x=(2x+y)/z=(2z+x)/y=(2y+z+2x+y+2z+x)/(x+y+z)=3
所以 1/k=3
k=1/3
参考资料:http://zhidao.baidu.com/question/38009683.html?si=1
利用合比定理可得 答案为3
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