作业帮x,y满足x2+2xy+3y2=2,x+2y的范围
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x,y满足x2+2xy+3y2=2,x+2y的范围
x,y满足x2+2xy+3y2=2,x+2y的范围
x,y满足x2+2xy+3y2=2,x+2y的范围
最傻的办法是令t=x+2y
所以x=t-2y带回第一式
(t-2y)^2+2(t-2y)y+3y^2=2
3y^2-2ty+(t^2-2)=0
为了使之有解必须有
Δ=4t^2-12(t^2-2)>=0
8t^2
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