解题方法
1 . 在①
,②
,③
这三个条件中任选一个,补充到下面的问题中,并求解下列问题:已知集合
,
,若________,求实数
的取值范围.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1707bb9469949f6ddf6bf5ebc466ad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60e69ad0de12e2c98ceceb81e15f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d805b854df69f3296897c651b864baa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1562e4e87e19fbd7c52fac3fbd7e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed617762771fa1c9326766b8a05937c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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2 . 已知集合
,集合
,定义集合
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
(1)若
,求
.
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc03b1890f9862a6d53166091c5571a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc686be681072f976de4c02ef12d6264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a395870f77df4005141e9e4d72751fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5461e77bf954fb530969eb80236f674d.png)
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3 . 已知集合
.
(1)若
,求
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5224e621d634de6ecb54ad76a0a2e97.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
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2023-02-19更新
|
338次组卷
|
5卷引用:福建省龙岩市2022-2023学年高一上学期期末教学质量检查数学试题
解题方法
4 . 已知集合
,
.
(1)求
;
(2)设集合
,若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553b0b1801620d779137427f2afd92ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f948f2fff396300313a01b233e60d25.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864279d7d55941e4160c17eb60a54461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
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解题方法
5 . 已知集合
,
,若
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95158921864da5500d2c9d529d9923f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f4cde12869125b1eebc2c6c8ae22cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知函数
,
,对于存在
,存在
,使得
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afc119dd903c473b5e9853799bc34a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df060ed5b84bd17374615e09bd6a4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-10-13更新
|
623次组卷
|
3卷引用:福建省上杭县第一中学2022-2023学年高一上学期数学期末复习卷试题(三)
名校
解题方法
7 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82de7045053a66e48f7682f580083e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ed9d971c197b28240b9df23da572e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-07-16更新
|
452次组卷
|
4卷引用:福建省福州市八县(市)协作校2021-2022学年高二下学期期末联考数学试题
解题方法
8 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a4aaa9fb3fecbf632bf49d44cc8eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e198c5935ae7c9bea07869cf7c5aa62.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 设函数
的定义域为
,函数
的定义域为
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99709744a2b95eada8384bd8b754e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcc5620cde6de2e7313169896afdc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知函数
的定义域是
,不等式
的解集是
.
(1)若
,求实数
的取值范围;
(2)若
,
且
是
的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276544741d1b9ae78a01cef700a227d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf866c29bf6ec3301272e33d3350bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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