名校
解题方法
1 . 已知命题
,
的否定是真命题的一个充分不必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44bef5e2df41b92f8aa7319710f79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b126ea4162ba80f7307352520c872d1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b83a660527359758db64e6566466293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356a77b10f05c210e322f3bd7e13a502.png)
A.充分不必要条件 | B.充要条件 | C.必要不充分条件 | D.既不充分也不必要条件 |
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2023-10-16更新
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8卷引用:安徽省安庆市皖江高级中学2023-2024学年高一上学期期中数学试题
名校
解题方法
3 . 已知
,
且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44ef606f4c60db51a5861800b8696e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9fccd494f39708565ff91eb4c30a90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f315661ad2ed284e7c219b6524a94deb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ae7dbab26de03fab56c99d326d0518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0c80227d04bcf320127a923f104bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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4 . 已知命题
,则
的否定形式是:_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1fb8e387290233a0671fcf7800d8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2023-10-16更新
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2卷引用:安徽省桐城中学2023-2024学年高一上学期9月月考数学试题
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5 . 对于集合
,
,我们把集合
记作
例如,
,
,则有:
,
,
,
,
据此,试回答下列问题:
(1)已知
,
,求
;
(2)已知
,求集合
,
;
(3)若集合
中有
个元素,集合
中有
个元素,试确定
中有多少个元素(只写结果).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cca4ef1036e316047934f495a5a01a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d095aa550aecf625d15258406ef4dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bcdd1a9dd27e53f722ad147192a336f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94a6c5aedb3f0af0e4878b872e4261a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3bd31b1fc9fd26c181d82c369da2ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dda01e383998c6b5f12df2093f38827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32d68bbb2a637a47ba27a656cb4a146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447c5e0f2fb89b3d13063199e7aaac6c.png)
据此,试回答下列问题:
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0507a7d4a218d3f946479e9a1ba83ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7daea6e263df6c2160d2a204ebd08f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037e74ceba14cd1dce2a5f21815763d4.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac89fb380fb326eb9c10ca8b2de836a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d095aa550aecf625d15258406ef4dbd.png)
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6 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c1e5c2b741b9a840d9ffb2926be1d.png)
(1)若
求实数
的取值范围.
(2)是否存在实数
,使得
?若存在求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c1e5c2b741b9a840d9ffb2926be1d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420b45cc8a8457eb5f1b0deb199f1eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知集合
,集合
,全集
,则图中阴影部分表示的集合是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f070e637dae09482a9874ef48007adfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d90ff243b30c5448d90ab17e3d442ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3aae73f5f1742524665a8c83328b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/30/ecd5ae2a-b4c9-441a-a7ba-038ddf67ddbc.png?resizew=167)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-10-12更新
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2卷引用:安徽省安庆市怀宁县第二中学2023-2024学年高一上学期期中数学试题
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8 . 已知
,那么
的一个充分不必要条件是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7ca86beff389668eb3246c4858c99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-11更新
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581次组卷
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4卷引用:安徽省安庆市怀宁县第二中学2023-2024学年高一上学期期中数学试题
9 . 试用列举法表示集合:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a751e2b2e0cf84bcb1156a47f4b887.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a751e2b2e0cf84bcb1156a47f4b887.png)
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2023-10-10更新
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347次组卷
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4卷引用:安徽省安庆市皖江高级中学2023-2024学年高一上学期期中数学试题
名校
解题方法
10 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3a8ec8d0fc97bbbb2e81ed9e4600a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e3bd44b6500dffa8658e865a0f466f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318212b9ba5866ba3fd6f4327526443f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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2023-10-10更新
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322次组卷
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2卷引用:安徽省安庆市第一中学2023-2024学年高一上学期第一次阶段性检测数学试题