名校
解题方法
1 . 定义在
的函数
满足:任意
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9511b59df7b31567a59574d21d4fd8de.png)
A.![]() |
B.![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2卷引用:福建省泉州第五中学2024届高三下学期适应性监测(二)数学试题
名校
解题方法
2 . 已知全集
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b1f81ac4f1fee3b9da56aca52ca79f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ac0943568c5ae40130fa38cc938e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 如图,直角梯形ABCD中,
,
,
,在等腰直角三角形CDE中,
,则向量
在向量
上的投影向量的模为;若M,N分别为线段BC,CE上的动点,且
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852847ba02c2b62abf27e9cc11f596a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a333d098fc1acefbdadfcac342fb8ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1ae9fcd70ccbdda55f34e3371b64c0.png)
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4 . 如图,正方形
的边长为
,
、
分别为边
、
上的动点,,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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5 . 已知实数
,且满足
,当
取得最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5154ce098d83928b357e01070762413a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dcf600445a2eeef7e18c8feb4b0e8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8d40e257f9c446b8e30fa841b74bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5154ce098d83928b357e01070762413a.png)
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6 . 设函数
,
.
(1)当
时,求函数
的单调区间;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40db9dceb2d88988790ed9e6327d3a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ae6d5e25c5bc3afe1ca6d86c219a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0dab614d13fbc46a0e79e7583f7eef1.png)
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7 . 已知
为等比数列,
,且
,则
的公比
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fecd0d11e6b1d6af46c4fd25cdf0dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)
河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)(已下线)辽宁省沈阳市第二中学2024届高三下学期三模数学试题内蒙古自治区锡林郭勒盟2024届高三下学期5月模拟考试理科数学试题
名校
8 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80d38e0e77e997e73034d9a067690ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8e8151bb259cdfe81fc22ac3d97f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e339bb56f1c1b36cdf396bc8cd7c2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dd4be5457b161f2c25f9d614d917b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知一组数据
的平均数为
,另一组数据
的平均数为
.若数据
,
的平均数为
,其中
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b21b263ad0664baffa35e3b38973d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351e486570290f0433ace7d0ecf2d473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1bf2336c921d6f6127402845799610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f7ab4162be6cc63ed97eabb6ba9d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5cdd7b3ce853bcd64b92857853c51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff03312abffeabd6a1d065dc741a48c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f68b27726a0c1a272ca9f40c6f42063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:安安徽省安庆市示范高中2024届高三联考(三模)数学试题