2X^2-2XY+y^2=1求X+2Y取值范围 ..

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2X^2-2XY+y^2=1求X+2Y取值范围..2X^2-2XY+y^2=1求X+2Y取值范围..2X^2-2XY+y^2=1求X+2Y取值范围..(x-y)^2+x^2=1设x=cosα,α∈R则

2X^2-2XY+y^2=1求X+2Y取值范围 ..
2X^2-2XY+y^2=1求X+2Y取值范围 ..

2X^2-2XY+y^2=1求X+2Y取值范围 ..
(x-y)^2+x^2=1
设x=cosα,α∈R
则y=cosα-sinα,
于是x+2y=3cosα-2sinα=√13cos(α+θ)∈[-√13,√13]

(x-y)^2+x^2=1
设x=cosα,α∈R
则y=cosα-sinα,
于是x+2y=3cosα-2sinα=√13cos(α+θ)∈[-√13,√13]
引自楼上