名校
1 . 已知函数
的部分图象如图所示,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e1b36b91ee845efe122a5035172fdb.png)
A.函数![]() ![]() |
B.![]() |
C.函数![]() ![]() |
D.方程![]() ![]() ![]() |
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2 . 在平行四边形
中,
,点
为该平行四边形所在平面内的任意一点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b93b4f5d40351a85c0c027562c20c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c169cec0a60d31fd6c56e4cd9b1e0063.png)
A.6 | B.8 | C.10 | D.12 |
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3 . 已知函数
,任取
,定义集合
,点
满足
. 设
分别表示集合
中元素的最大值和最小值,记
,试解答 以下问题:
(1)若函数
,则
___ ;
(2)若函数
,则
的最小正周期为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c31ba2787bc36c28c1a3a54e93432cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752cdf76ae4ff6439f513e8bdf3f60cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9723d753c0d5df723a4308a79e5a876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79410ed94f30c4da60838abfa1f01f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2b282da990e7bd3f05d4026ef5e394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3215494dccf60336e9f7740d19fcbc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f26d721b107f8b2bc88f3eb0f42c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be7b58c2b38144b1891d4840b8047cd.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c64ab61f03db328b8860ff20c6b9b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8798ef183db1c22522f2edefd9ba7930.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c90a21879ef3ff035d9790b24c0a535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0999d7e1264bf85be74b29cd9e34db.png)
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4 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25434fff986261b3bf487cdf2688eaea.png)
A.![]() |
B.函数![]() ![]() |
C.不等式![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
5 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c368aab6fb48b0c279fc56d6a76f439.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
,若
在区间
上的值域为
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb902e7ae40a9922ece919400e07ed68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d6397ca315f69dd8fb18102aa9a194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f14287f9ed91bc59ad5d6beb1df8b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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(已下线)湖南省益阳市2024届高三下学期5月适应性考试数学试题山东省济宁市2024届高三下学期三模数学试题河南省南阳市淅川县第一高级中学2024届高三下学期三模数学试题广东省揭阳市惠来县第一中学2023-2024学年高二下学期6月月考数学试题
名校
7 . 在
中,
,
,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac34466d49ce1fe5dd29d02f02e5cd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053e9caf02bcb3ea11750225e2e230cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c059a5b58039e3100510a1b48ba8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3ff6f5f8da133af39da6145eea4f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce6b835165244ae3d586d73a54ad7e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
是边长为
的正三角形,点
是
所在平面内的一点,且满足
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abcec9f91ab493b1cf66583d7abde22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
A.1 | B.2 | C.3 | D.![]() |
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9 . 若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58348d8695f3c15636133db28b23a179.png)
在区间
上是减函数,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58348d8695f3c15636133db28b23a179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ddbb5cfaedab59c97125105c3fe590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbda8d24ba7efec06837fc39824d7e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e9e9b9fe43fbe99d3c538af278308a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac999b94a4acd9ccdfba08373ebde9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
A.![]() | B.![]() | C.1 | D.2 |
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10 . 已知函数
,若
在
上有且仅有四个不相等的实数根,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86964ebb9a82ad5f863b103b0a89810f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd6666b3e59a7016006a95107d67b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d6a66a015ddd2a8076f35ed191927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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