1 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7bb675b0ef0ec120a227f904e7e820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf1d26f283219879cc0bfb21526151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知函数
,若
的图象关于直线
对称,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9eb1a306728dbb41654b7af4d05c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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3 . 已知
,
,
,
,则下列大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678bc4e3642a01f2e6c3f82ae6af82b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a28c3b4ee6e3894b28cc0c84deec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf9fbba9a4583674e07eaf65f4f0493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce59668a3be332c863098b978da5b85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:2024届河北省名校联盟高考三模数学试题
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解题方法
4 . 若函数
在
上单调递增,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac734219f9130afda1084bd42e52ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,某公园内有一块边长为2个单位的正方形区域
市民健身用地,为提高安全性,拟在点A处安装一个可转动的大型探照灯,其照射角
始终为
(其中
,
分别在边
,
上),则
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
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7日内更新
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233次组卷
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5卷引用:江苏省前黄高级中学2024届高三下学期三模适应性考试数学试题
江苏省前黄高级中学2024届高三下学期三模适应性考试数学试题安徽省合肥市第一中学2023-2024学年高一下学期5月期中联考数学试题(已下线)专题03 高一下期末考前必刷卷01(基础卷)-期末考点大串讲(人教A版2019必修第二册)(已下线)专题2 以平面向量数量积为背景的最值与范围问题【讲】(高一期末压轴专项)(已下线)专题03 平面向量的数量积常考题型归类-期末考点大串讲(人教B版2019必修第三册)
6 . 函数
的函数值表示不超过
的最大整数,例如,
.下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550a97c21c1d71c9e95dde569668be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2ae14cdf62d0a69dda9a58d1ea9640.png)
A.函数![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.所有满足![]() ![]() ![]() |
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解题方法
7 . 已知定义在
上不为常数的函数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1273c46b7fcc753edffec8da083f60b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知定义在
上的函数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a28068770a85b88b42321cd71ecd3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e55491716ef55c7976c626f6b75584.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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9 . 定义二元函数
,同时满足:①
;②
;③
三个条件.
(1)求
的值;
(2)求
的解析式;
(3)若
.比较
与0的大小关系,并说明理由.
附:参考公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1234f123ff32cf38037649c3ff329d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a4141252d1d5410adc4da9a3e631b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffece531ce82696c0920238efdeb113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430d72f73ef24e73a937893c26c5c854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f095fc2b6b7eb7ecdbff0a1e78dcf9b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee684bc0ac2a74bd0fb714e94245070f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad1be9af99aa2fb00f2de6a215cf1ad.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3264fcf8cfd754947a33aff79ea9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
附:参考公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1234f123ff32cf38037649c3ff329d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b320170303e3310f9c8bb29e17d716.png)
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10 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8ee93f7771f73f0303642db5783b21.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1854fd8bf76e74f6414fc8c9a77a0216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8ee93f7771f73f0303642db5783b21.png)
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