已知x²+y²=a,m²+n²=b(a,b>0),求mx+ny的最大值
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已知x²+y²=a,m²+n²=b(a,b>0),求mx+ny的最大值
已知x²+y²=a,m²+n²=b(a,b>0),求mx+ny的最大值
已知x²+y²=a,m²+n²=b(a,b>0),求mx+ny的最大值
x²+m²≥2mx
y²+n²≥2ny
x²+m²+y²+n²≥2mx+2ny
a+b≥2mx+2ny
mx+ny的最大值=(a+b)/2