已知圆x2+y2-2x-2y+1=0求x2+y2的最大值
x2表示x的平方y2同上
人气:226 ℃ 时间:2019-11-18 07:39:37
解答
(x-1)^2+(y-1)^2=1 令x-1=sina y-1=cosa 则x=1+sina,y=1+cosa x^2+y^2 =1+2sina+(sina)^2+1+2cosa+(cosa)^2 =3+2(sina+cosa) =3+2√2[sina*(√2/2)+cosa*(√2/2)] =3+2√2sin(a+45度) sin(a+45度)=1时,x^2+y^2有最大...
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