来自黄书鹏的问题
若2x+3y+5z=29,则函数μ=2x+1−−−−−−√+3y+4−−−−−√+5z+6−−−−−√的最大值为()。A.5√B.15−−√C.230−−√D.30−−√
若2x+3y+5z=29,则函数μ=2x+1−−−−−−√+3y+4−−−−−√+5z+6−−−−−√的最大值为( )。A.5√B.15−−√C.230−−√D.30−−√


若2x+3y+5z=29,则函数μ=2x+1−−−−−−√+3y+4−−−−−√+5z+6−−−−−√的最大值为()。A.5√B.15−−√C.230−−√D.30−−√
若2x+3y+5z=29,则函数μ=2x+1−−−−−−√+3y+4−−−−−√+5z+6−−−−−√的最大值为( )。A.5√B.15−−√C.230−−√D.30−−√
本题主要考查函数最值的求解以及换元法的使用。令2x+1−−−−−−√=a,3y+4−−−−−√=b,5z+6−−−−−√=c,则a2+b2+c2=40。μ2=(a+b+c)2=3×40−[(a−b)2+(a−c)2+(b−c)2],则当a=b=c时,μ2取最大值120,即μ取最大值230−