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圆的方程问题
设集合M={(x,y) | x²+y²≤4},集合N={(x,y) | (x-a)²+y²≤9},若M∪N=M,则实数a的取值范围
人气:388 ℃ 时间:2020-05-08 17:05:09
解答
x²+y²≤4
M{(x,y)|-2<=x<=2,-2<=y<=2}
(x-a)²+y²≤9
N{(x,y)|-3<=x-a<=3,-3<=y<=3}
N{(x,y)|-3+a<=x<=3+a,-3<=y<=3}
-3+a<=-2,a<=1;
3+a>=2,a>=-1
综合得:-1<= a<=1
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