名校
解题方法
1 . 记
.
(1)若
,求
和
;
(2)若
,求证:对于任意
,都有
,且存在
,使得
.
(3)已知定义在
上
有最小值,求证“
是偶函数”的充要条件是“对于任意正实数
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80225e12934cd8d4ffc73d5fad815d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1b9f62690647a1597f4000ad5a64b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c8381377b90826897eb4bf16cb3bae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28034dcafe542a98d95d4504ad7d8a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4def7108b0a2338f07a0143b00b48271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3761d7ab4d00c91177fdbde67af36089.png)
(3)已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625e9d3c298a595678933b59583632c2.png)
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名校
解题方法
2 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb499750a6238b42ce41c4a17ef39d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知全集
,集合
,
,如图所示,则图中阴影部分表示的集合是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/19/c8d321e7-0e3d-41b7-a4e7-c638105bd035.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eee031cb8a253ac92a505eabd0f36f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e838126b553ef6c189967a26c17bf442.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/19/c8d321e7-0e3d-41b7-a4e7-c638105bd035.png?resizew=157)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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名校
4 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782c44851dd90d7d6dbcac40b56d7189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7日内更新
|
164次组卷
|
3卷引用:2024届湖南省长沙市第一中学高考最后一卷数学试题
2024届湖南省长沙市第一中学高考最后一卷数学试题四川省绵阳市东辰学校2024届高三下学期模拟押题卷理科数学试题(一)(已下线)高二数学期末模拟试卷02【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
解题方法
5 . 设全集
,集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e437f5b862f471bdd46f44037929d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f493c7ddd39eca80d6a4632ff3797906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2e7d69acdd814de410365def34b961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4633e5bfc9b3c72c5b31ac1a6ef82c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 集合论在离散数学中有着非常重要的地位.对于非空集合
和
,定义和集
,用符号
表示和集
内的元素个数.
(1)已知集合
,
,
,若
,求
的值;
(2)记集合
,
,
,
为
中所有元素之和,
,求证:
;
(3)若
与
都是由
个整数构成的集合,且
,证明:若按一定顺序排列,集合
与
中的元素是两个公差相等的等差数列.
![](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/88c7a43079a55f6a53b1307b2b04b55e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf60f60fedb84bb62a0c00276908ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce69cd33d105ce280170f0cd0513026.png)
(1)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed0081de4e04574dd0884c4e6077fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d651573ff643d295dcceafdb6f1249d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42500dfa5011086d43ef7e6dac58271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b27c12cad9040ae9698895e43903747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9e547b17582b99e548037172eeff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f7f9dc32fa86d097de2b7d78b6b487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594e60168219fdebb98b45493de0128a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc9ec58912d76aabf278faa7bf06e45.png)
(3)若
![](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/ef96e432405a1037b5aea7514715e52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa740177330d445b0d506f3b53f9ad2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
名校
解题方法
7 .
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9eed74e70d233af27c70bc454e7889f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5940351e3244357175e134d118bcb019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
您最近一年使用:0次
名校
8 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dedc0a0919180f00e041052e3d045a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e0a1dec5888399931e19862d0160ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-04更新
|
638次组卷
|
2卷引用:湖南省长沙市长郡中学2024届高三下学期模拟(三)数学试题
名校
解题方法
9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e295095e1b34eeca177c3bd029dd766f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f1e081990a345876aa8203a1a4b64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee7348df29167bd713f54fdf2340a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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