已知集合
,集合
.
(1)若
,求
和
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bf4ccb799f269d4ce620e1c9b40532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5ef23be453c7e2d61ca4785677b700.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
更新时间:2023-12-20 13:42:47
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【推荐1】已知集合:
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(1)定义
且
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(2)设命题
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(1)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f1471cfd26fe885ce80c1e8d4c4170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f1e3675e0fa3b790c416a751af63.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a64dd4d5fab45b427a27951dddd6d3.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
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【推荐2】设全集
,集合
,
.
(1)求
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(2)若集合
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800172c2621d5b254ab81f1d164636ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0863790d005668524f9cb3164152c99.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9279c275a0d1e3967980c29474ad1b.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198a62ad42d8da8ffd55bc113180e6d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281b7f1f77b4b82e84f906019acca76f.png)
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解题方法
【推荐1】已知全集
,集合
,
.
(1)当
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,
;
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f965ee875fe80aabc6da3bd0fd61b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b318186af0447d4138112b5224332900.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f0480907528a0ac366fa91f6138d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
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解题方法
【推荐2】已知集合
,
.
(1)求
,
;
(2)已知集合
,若
,求实数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07d783b52a7aa14959fefff1f6f9c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c78fd651b2420568d1fe24c3f2dd77.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4deb0dfbbe3d48757b365e6749bd7fd9.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864279d7d55941e4160c17eb60a54461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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【推荐1】已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9beafb302c1b66df11d630c2fd05bf.png)
(1)若
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的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9beafb302c1b66df11d630c2fd05bf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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【推荐2】已知集合
或
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,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac52f248d82bcc57f11cdfe4bdc811.png)
(1)求
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(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40dd9f714d61a985b52583cb8403054c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd1741cbc2892207b10bfc93bd6045b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】在①
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,②
这两句话中任选一个,补充到本题中第(2)问横线处,求解下列问题.
设全集是实数集R,
,
,
(1)当
时,求
、
;
(2)已知命题p: ,且p为真命题,求实数a的取值范围.
注:如果选择多个方案分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a375fae50ad1b3d14c011673110256fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5507083437b3cc90c7b2f95dbb3bcc.png)
设全集是实数集R,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b920274b80ace3e17020d7dc86a03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5259347011b423a3278d48a7021e708.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)已知命题p: ,且p为真命题,求实数a的取值范围.
注:如果选择多个方案分别解答,按第一个解答计分.
您最近一年使用:0次
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【推荐2】已知集合
,
,
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(1)求
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc378d312bb86d732e8f3f64d8cc5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d918783c955abfad9ecf18db72d4a153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c4a451c44079d489963ddf093c8cef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22882310035db6d3d953e060b0c91733.png)
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