题目内容
如果圆
上总存在两个点到原点的距离为
则实数a的取值范围是 ( )

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A.![]() | B.![]() |
C.[-1,1] | D.![]() |
A
问题可转化为圆(x-a)2+(y-a)2=8和圆x2+y2=2相交,
两圆圆心距d=
由R - r<|OO1|<R + r得2
-
<
|a|<2
+
解得:1<|a|<3,即a∈(-3,-1)∪(1,3)
两圆圆心距d=

由R - r<|OO1|<R + r得2


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
解得:1<|a|<3,即a∈(-3,-1)∪(1,3)

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