解题方法
1 . 设集合
.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07f9c088aa2a587f61bff9d8fe00fd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dcaae636a53f3d590e5c64ffeeee57.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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解题方法
2 . 已知函数
.
(1)求不等式
的解集;
(2)设
,若对
,总
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc1a73a0ecfbe195c22f0e55d320bab.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bff70b02942f8815dfe06901fd6595.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254ce5177fce7fa88cbcc4219b41e0ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703c71e301b4bdaef96da0c9769adbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6d1ab7e8a09f5d8ee9586dc760a876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f5020d133f458912dc3da22b8127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 集合
.
(1)当
时,求
;
(2)已知
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9851db89301f21cc7dc3081ddc7ecde1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
4 . 设集合
.
(1)求集合
;
(2)记
或
,若“
”是“
”的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e319db1b2a17d189380c7be96ad7b7.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87be169c9de9699dc620ee3bc990ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782fff38dd580d4fa9b0be6796ecbbef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知全集
,集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a99038e2a330b32fcd8280e563e5eae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61410f474533fe21cfe5354b747a5de9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
6 . 函数
的值域为
,
的定义域为
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a586717b367d464f51434a8c260585a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd78ab6562f8e8426cf9baa16db77bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7 . 已知集合
,集合
.
(1)当
时,求
;
(2)若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571f2903d19fbf7bcdbb31daae2ac429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74871b76e9dd88f5c5fc9c2b80f6277b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 集合
,
或
,且
.
(1)求
,
的值;
(2)若集合
,且“
”是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2c3deda6c503fb7bfdb938e30fd54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517a4c43ffb45365c2308e4f01b9b7d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4285efce2830798f727fac85a4c11934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a187675c932a631ce930013ca7f6a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2269d452224df4cf74bd1333b61154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 已知集合
.
(1)求
;
(2)若集合
,且“
”是“
”的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2fde316339c903800b23e09c96de18.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0ed6bc0f0f988d253c5783d814b203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
您最近一年使用:0次
解题方法
10 . 已知集合
,集合
.
(1)当
时,求
;
(2)请在下面两个条件中任选一个,作为已知条件,求实数k的取值范围(全选按照第一个给分)
条件:①“
”是“
”的充分条件;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1f672175b7080c6556b322080ce3a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086fef7b1cb105133b775395e8f97f42.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)请在下面两个条件中任选一个,作为已知条件,求实数k的取值范围(全选按照第一个给分)
条件:①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9afa6ca3c54f758947c5ece1a2e71b.png)
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