题目内容
设命题
:函数
在
上单调递增;命题
:不等式
对任意的
恒成立.若“
且
”为假,“
或
”为真,求
的取值范围.
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解:∵
在
上单调递增 ∴
又不等式
对任意的
恒成立
当
时,不等式可化为
,符合题意
当
时,
∴
∵“
且
”为假,“
或
”为真 ∴
、
中有且只有一个为真.
⑴若“
真
假”,则

⑵若“
假
真”,则

综上,
的取值范围是
.

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
又不等式

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当
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
当
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∵“
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⑴若“

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⑵若“

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综上,
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