1 . 某公司要在甲、乙两人中招聘一名职员,对两人的学历,能力、经验这三项进行了测试.各项满分均为10分,成绩高者被录用.图1是甲、乙测试成绩的条形统计图,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/cb2ed1ec-5b9f-4321-be6b-377a5b5b410a.png?resizew=414)
(1)分别求出甲、乙三项成绩之和,并指出会录用谁;
(2)若将甲、乙的三项测试成绩,按照扇形统计图(图
各项所占之比,分别计算两人各自的综合成绩,并判断是否会改变(1)的录用结果.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/cb2ed1ec-5b9f-4321-be6b-377a5b5b410a.png?resizew=414)
(1)分别求出甲、乙三项成绩之和,并指出会录用谁;
(2)若将甲、乙的三项测试成绩,按照扇形统计图(图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca778d559493146e7a57af60ae937825.png)
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2 . 已知
.
(1)化简
;
(2)若正方形
的边长为
,且它的面积为9,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dddb8a8369f1f347c5d0efc3cc2251b.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67300207553ae70b997bde84ca730cf8.png)
(2)若正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67300207553ae70b997bde84ca730cf8.png)
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3 . 如图所示的衣架可以近似看成一个等腰三角形
,其中
,
,
cm,则高
约为( )
(参考数据:,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fc5db7ac344c05465dbabcc5e3d696.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/32523c5b-66bf-415a-8e09-334af3311b38.png?resizew=223)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1816fb0bed72025e79aa4b7185055ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a5dae3b3a443748604b79401616239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c6cf2f16410d7602d14c320bb80bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(参考数据:,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae2f44d211b6cef769061ef0e7bf45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fc5db7ac344c05465dbabcc5e3d696.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/32523c5b-66bf-415a-8e09-334af3311b38.png?resizew=223)
A.22.44cm | B.9.90cm | C.11.22cm | D.19.58cm |
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4 . 大自然中有许多小动物都是“小数学家”,如图1,蜜蜂的蜂巢结构非常精巧、实用而且节省材料,多名学者通过观测研究发现:蜂巢巢房的横截面大都是正六边形.如图2,一个巢房的横截面为正六边形
,若对角线
的长约为
,则正六边形
的边长为( )
![](https://img.xkw.com/dksih/QBM/2022/10/24/3094746410770432/3094818798682112/STEM/29c47844fd374c908f1478221cc97fc3.png?resizew=301)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b512022066e781729bb8087fc0580d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://img.xkw.com/dksih/QBM/2022/10/24/3094746410770432/3094818798682112/STEM/29c47844fd374c908f1478221cc97fc3.png?resizew=301)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 给出下列四个命题:
①设集合
,则
;
②空集是任何集合的子集;
③集合
,
表示同一集合;
④集合
,集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a263d5e89becaaa2474a711da1c2c2c.png)
其中不正确的命题是( )
①设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0469d7d4f1b46c8c3e53f8dba71fd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc44e8f402094b7fbccaffa132b53443.png)
②空集是任何集合的子集;
③集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1c86a453cd5906d08f8269de7a83ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cedd4ba631f8530626459c454fdd2b1.png)
④集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906a7eed297c9b6a8e1f0f60a0200dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf811a62b1bb98260a2cc78cc867692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a263d5e89becaaa2474a711da1c2c2c.png)
其中不正确的命题是( )
A.① | B.② | C.③ | D.④ |
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