解题方法
1 . 已知命题
方程
没有实数根.
(1)若
是假命题,求实数
的取值集合
;
(2)在(1)的条件下,已知非空集合
,从①充分而不必要,②必要而不充分,这两个条件中任选一个条件补充到下面问题中的横线上,并解答.问题:是否存在实数
,使得若
是
的______条件.若存在,求
的取值范围.若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e908c1346baf1a089134adb2b47fc5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)在(1)的条件下,已知非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48386ac9c88bfc6ca0ac53bd74afb74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8a1b0b32229f6a9f5b85c11f05bee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa238793bdf2a25b7bfd01eaa81551a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知集合
,
,
.
(1)若
,求
.
(2)若B是A的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ccaf2fb1174d9314c3e9b07846059c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17544508ca82fc263500f30b715cb06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a9eff587a429f63a0f8a5c97c8bff5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e5450f24464d07f1a767714fa639cc.png)
(2)若B是A的充分不必要条件,求实数a的取值范围.
您最近一年使用:0次
名校
解题方法
3 . 已知集合
,集合
.
(1)当
时,求
的取值范围;
(2)当
为非空集合时,若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3599771f4939708536b41a7ef1190006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c5dc9496e3d3b93e436518cacaa59a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf1e97de471ad174a6e9d4c41dafabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](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
4 . 已知集合
,
.
(1)若
,求实数
的取值范围;
(2)若“
”是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2c60a454ca65666862731bb12eaede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fc6fd32a3ed7b5be415f410fc1ce96.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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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5 . 已知集合
.
(1)若
,求
;
(2)若
,设命题
,命题
.已知命题
是命题
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd348db6b20764f3e5c9bac77f8bf91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9ecabaa402a3ec070d6e1ca76885dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](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)
您最近一年使用:0次
2023-12-20更新
|
198次组卷
|
2卷引用:江苏省无锡市玉祁高级中学2023-2024学年高一上学期期中考试数学试卷
6 . 已知集合
,全集
.
(1)当
时,求
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca925bd05061a2e522a77b91426f4baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ae18508906c21d3e1199f231b1a9a4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c50fb5615e36df436d747356b00d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 若集合
,
.
(1)若
.求
,
.
(2)若
是
的充分不必要条件.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c8646717a0d32dba88ae12fa5d7578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57d1050f0751abdd5cc0c64a0f65a4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdd27d80be0ca46bf69d4771fdd873a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ae18508906c21d3e1199f231b1a9a4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca06304795e9c2c1fd0b4a52eb8d5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
8 . 已知集合
.
(1)求
.
(2)已知集合
,若满足______,求实数
的取值范围.请从①
,②
,③“
”是“
”的充分不必要条件中选一个填人(2)中横线处进行解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ce2606e8f739cb995d53d33cd34d7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89504e77251a53877e41b64cb5c943d.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124aab70611dd605ca2d34afd6784e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37ccbb1f8b372b234ee46455c9213de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55cb5e12b9bf4ded4a81965fe31e7f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
2023-12-14更新
|
173次组卷
|
2卷引用:山东省济宁市兖州区2023-2024学年高一上学期期中数学试题
名校
解题方法
9 . 设
:实数
满足
:实数
满足
.
(1)若
,且
均为真命题,求实数
的取值范围;
(2)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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3f70eff33a154f7dd0d5359a8eec2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f48778a6cd4d76643d24fd928b43603.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](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)
您最近一年使用:0次
2023-12-06更新
|
188次组卷
|
2卷引用:江苏省连云港市灌云高级中学、灌南惠泽高级中学2023-2024学年高一上学期期中调研数学试卷
解题方法
10 . 已知命题
,
,则命题P成立的一个充分不必要条件可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44bef5e2df41b92f8aa7319710f79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219eb990a4344e7434b3b9f2299f8593.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次