1 . 解下列关于
的不等式或不等式组:
(1)计算:
;
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3b9a754c601f6346e26578d9dadaab.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884d32b458a26740d454c9c59eb711ee.png)
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2 . 抛物线
的图象如图所示,则一次函数
与反比例函数
在同一平面直角坐标系内的图象大致为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/0df48209-c045-46d1-ac30-d25cfeb1edc1.png?resizew=121)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac8b0eb4aa1cbe23125aa2f6d35337c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0615c1264ae08ff353fec2166c461e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b5828fe5cd27359049367193cd94b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/0df48209-c045-46d1-ac30-d25cfeb1edc1.png?resizew=121)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded23eec1bb0a4b9ecf37eec53d586ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.4 | B.![]() | C.4或![]() | D.0 |
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4 . 如图,
是反比例函数
图象上一点,
轴于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3ba108b6b0fb9d388d9202af1c4cbe.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85410ff00c81839ff9a64bf86dc36f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9d95479904c01fe9cebbc7b3f2d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3ba108b6b0fb9d388d9202af1c4cbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/6083d04d-a931-4406-95a9-58837b699b20.png?resizew=205)
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5 . 在同一直角坐标系中,一次函数
和二次函数
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac52246d5bb85d3cc532a9a04655916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5942867c8ed86d19463141455ffc1d6b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 某学校开展了防疫知识的宣传教育活动,为了了解这次活动的效果,学校从全校1500名学生中随机抽取部分学生进行知识测试(测试满分100分,得分
均为不小于60的整数),并将测试成绩分为四个等级:基本合格
,合格
,良好
,优秀
,制作了如图所示的统计图(部分信息未给出).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/ef04b1fa-28ed-4577-b6b8-169b8cc6fe3d.png?resizew=501)
由图中给出的信息解答下列问题:
(1)求测试成绩为合格的学生人数,并补全频数分布直方图.
(2)求扇形统计图中“良好”所对应的扇形圆心角的度数.
(3)这次测试成绩的中位数是什么等级?
(4)如果全校学生都参加测试,请你根据抽样测试的结果,估计该校获得优秀的学生有多少人?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e37124462fede1ad8131bd6ed9adc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbacf55cd9a7f9d586991140b7c2888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d026a2288f40e97693660f828caea3ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90ff4b521e60337eaa8bbb51d58a231.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/ef04b1fa-28ed-4577-b6b8-169b8cc6fe3d.png?resizew=501)
由图中给出的信息解答下列问题:
(1)求测试成绩为合格的学生人数,并补全频数分布直方图.
(2)求扇形统计图中“良好”所对应的扇形圆心角的度数.
(3)这次测试成绩的中位数是什么等级?
(4)如果全校学生都参加测试,请你根据抽样测试的结果,估计该校获得优秀的学生有多少人?
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2022-08-31更新
|
53次组卷
|
2卷引用:甘肃省武威市民勤县第一中学2022-2023学年高一上学期开学考试数学试题
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7 . 有关于二次函数
的三个结论如下:
①对任意的实数
,都有
与
对应的函数值相等;
②若
,对应的
的整数值有4个,则
或
;
③若抛物线与
轴交于不同的两点
,
,且
,则
或
.
其中正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee350234b149f3763ac8e9f7f64825c3.png)
①对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9620730c2cf6ffc9c65d76d8e1bda68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc648c743c9f7f2b2c49e8987507211.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20d1be3f52520e09f4a76b53b3d4481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5256d45a4c07189fe4c8ca378cfa4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532ffbbc4bc33543a66aff306d516e0.png)
③若抛物线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/727b86a5e32149d29b9404644a348903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35253eb1d8e694f7ed64af83c51c2bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
其中正确结论的序号是( )
A.①② | B.①③ | C.②③ | D.①②③ |
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8 . (1)解不等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee38bcc390cf3b6e65b7708766ac424.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee38bcc390cf3b6e65b7708766ac424.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7ad4f0818bfff26e2dfaaa34a05ee3.png)
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9 . 如图,在平面直角坐标系中,二次函数
的图象与坐标轴交于
,
,
三点,其中点
的坐标为
,点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/31/e5c162e4-1c29-4ff0-8d01-1f367a953538.png?resizew=143)
(1)求该二次函数的表达式及点
的坐标.
(2)若点
的坐标是
,
为该二次函数在第四象限内图象上的动点,连接
,
,以
,
为邻边作平行四边形
,设平行四边形
的面积为
.
①求
的最大值;
②在点
的运动过程中,当点
落在该二次函数的图象上时,请求出点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d365ca2de4040db88d7283b7fcff2f3a.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbff8a36fff30a0046929967b617fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7860ed059932e1bc290b64d85d1a08cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/31/e5c162e4-1c29-4ff0-8d01-1f367a953538.png?resizew=143)
(1)求该二次函数的表达式及点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59006315422df4fc4c3c183149ecc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
②在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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10 . 若代数式
有意义,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7f16976f58daabd8244bd3d1883c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() ![]() |
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