题目内容
(13分)已知函数
的定义域集合是A,函数
的定义域集合是B
(1)求集合A、B
(2)若A
B=B,求实数
的取值范围.
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(1)求集合A、B
(2)若A
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(1) A=
B=
;(2)
。
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(1)求函数的定义域要保证分母不为0,被开方式非负,真数大于0.可求出集合A、B;(2)把集合A、B分别在数轴上表示出来,由A
B=B,找出左右端点满足的条件,即可求出
的取值范围.
(1) A=
B=
………6分
(2)由A
B=B得A
B,因此
……………………………11分
所以
,所以实数
的取值范围是
…………………13分
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(1) A=
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(2)由A
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所以
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