已知集合
,
,
.
(1)求
;
(2)若对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ef504bea4c47aef6f84e252c60f94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27de7c666175099a029893b33d8cc61c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecd91ce1a04efad27d005d8b8352880.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8258de1289be941d325abed63295a070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2022-11-21 18:40:48
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【推荐1】设全集
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c0a75395355c7318ff2d701cd0660b.png)
(1)若
,求
;
(2)若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c0a75395355c7318ff2d701cd0660b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4287c52490c5278a87bace92a36847.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】(1)设集合
,
,求:
,
;
(2)已知
、
、
都是正数,且满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd810bd3384aa74f58f8b5f498be415d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db38e7861848bb3498f7e5dc5ff32d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5d0b7794c891140d333dd2615a2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e55f3ec8270bc70fe46ef786bfb6a69.png)
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【推荐1】设函数
.
(1)求不等式
的解集;
(2)若对于
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8891ef3336dca14f2030e2bdf11485.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f3114b1883083bc54a5676a17930b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】(Ⅰ)设不等式
对满足
的一切实数
的取值都成立,求
的取值范围;
(Ⅱ)是否存在实数
,使得不等式
对满足
的一切实数
的取值都成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05b0432e78aca5cc51aac1caa12a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138191693e902bc728981bc6b399f702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅱ)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05b0432e78aca5cc51aac1caa12a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd424156b2e2eeb86cc5e4e11adb55c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐3】已知平面向量
,若存在不同时为零的实数
和
,使
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2266f59dd1c6cc28c6a7ff04d56da7.png)
(1)试求函数关系式
.
(2)若
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc44c0db6fdfa693cedf6d53ac4e741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7fcceac6bda369b365839b30040dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918941079abe641989a845615a15cf65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2266f59dd1c6cc28c6a7ff04d56da7.png)
(1)试求函数关系式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba75578c223769ff384deb7c8a2b600.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380cfbad9bd4e5e1ae8906f28c15439d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6836f5b103ceb850d1b4ecc24c4cf518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】已知函数
.
(1)求
的值,判断
的奇偶性并证明;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edecfbf1b4e1052468d209e8f017a88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0d45f1b96fe757e824aa7934830447.png)
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解题方法
【推荐2】已知函数
.
(1)判断函数
的单调性,并用单调性定义证明;
(2)若
为奇函数,求满足
的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd492d001a460384ca5c5ad7211561f8.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2252dfe057708906a9b0d65e309b4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
【推荐1】已知集合
.
(1)若
,求
;
(2)求实数a的取值范围,使___________成立.
从①
,②
,③
中选择一个填入横线处并解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71efde780097647d43dbe50e7f4602ee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求实数a的取值范围,使___________成立.
从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de618aa483d8cb4af28cf47c5c6d1e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76390b936a4cdc96800af8cb958c01aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28519b95c899fa5e4ba3fb0ef63e8fa6.png)
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