设函数
的不动点(满足
)、稳定点(满足
)的集合分别为A、B.若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55cc4b37578c30124725dc3ff1606e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f563b3277f2fc80e46baf9aa7070d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd64623b73cd96a0f6b4994ac335c852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
2022高三·全国·专题练习 查看更多[1]
(已下线)不动点与函数
更新时间:2022-03-05 08:22:13
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解答题-问答题
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较难
(0.4)
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解题方法
【推荐1】已知
,非空集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898fb2bc424ef45953524510f82ae36f.png)
(1)证明:
的充要条件是
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898fb2bc424ef45953524510f82ae36f.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdf3fa28452900663354a54a8f3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98816a922b6dd4704b3f95adc77cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解答题-问答题
|
较难
(0.4)
名校
【推荐2】设
,
,函数
.
(Ⅰ)设不等式
的解集为C,当
时,求实数
取值范围;
(Ⅱ)若对任意
,都有
成立,试求
时,
的值域;
(Ⅲ)设
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80138a223c9633ebe2b24b3abd7037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f28721d52cd2fad81f1c651b1feab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb713ef84dd1cca1df8e0c7c7ea6cab.png)
(Ⅰ)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafb511452fb3b93485fe41c73810efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545931b962cf570712d04888b57093f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d307a610ea0f37a3bba8e8f65f18338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
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