实数x,y满足(x-1)^2/16+(y-2)^2/9=1试求x-y的最值
1个回答
换元.可设
x=1+4cost
y=2+3sint t∈R
∴x-y
=4cost-3sint-1
=-3sin(t-m)-1
∴(x-y)max=2
(x-y)min=-4
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