x^2+2xy-y^2=7 求x^2+y^2最小值
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x^2+2xy-y^2=7 求x^2+y^2最小值
x^2+2xy-y^2=7 求x^2+y^2最小值
x^2+2xy-y^2=7 求x^2+y^2最小值
x^2+2xy-y^2=7
y^2=x^2+2xy-7
x^2+y^2
=x^2+x^2+2xy-7
=2x^2+2xy-7
=2(x+1/2)^2-7.5
当x=-1/2时,有最小值-7.5
用隐函数求导的方法可以解决
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