1 . 对于代数式
、
,定义新运算
,则下列说法正确的个数为( )
①若
,则
的值为3或
;②若方程
的解为
、
,则
的值为
;③若关于
的方程
有两个不相等的实数解,则
.
![](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/a6b6631fb3bec5938ec468817cfe5013.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2138be5940fa505f869a9745dbf09187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638e91430b6648310e4e86d241661e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c346ef9edb3b0e6a36f4e621989a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcc6bf525f2f64c7f231090e9bfdae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1127ad4b474aa2fcae799b597a6c6439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2792e61edaecd993d952a3a88f5dd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abbc0b33303486a030e7c9805697aac.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2 . 如图是一个圆柱形输水管横截面的示意图,阴影部分为有水部分,如果水面
的宽为
,水面最深的地方高度为
,则该输水管的半径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/acfe61b4-7ca4-48cf-9d8a-371ff13043e7.png?resizew=115)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 某中学随机地调查了50名学生,了解他们一周在校的体育锻炼时间,结果如下表所示:则这50名学生这一周在校的平均体育锻炼时间是( )
时间(小时) | 5 | 6 | 7 | 8 |
人数 | 10 | 15 | 20 | 5 |
A.6.2小时 | B.6.4小时 | C.6.5小时 | D.7小时 |
您最近一年使用:0次
2023-09-11更新
|
125次组卷
|
2卷引用:重庆市九龙坡区2023-2024学年高一上学期开学新生素质测试数学试题
4 . 如图,过原点的直线与反比例函数的图象交于
、
两点,
在第二象限,点
在
轴负半轴上,连接
交反比例函数于点
.过点
作
的外角平分线的垂线,垂足为
,连接
.若
,
的面积为
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/2021/10/11/2827168110231552/2828600998797312/STEM/a327f46f-016f-4d33-960b-072bfdf04430.png?resizew=249)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10524ca7c135b99c5175bf38a6e50c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61114b59283cd2ff3da1e7909a71603a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/2021/10/11/2827168110231552/2828600998797312/STEM/a327f46f-016f-4d33-960b-072bfdf04430.png?resizew=249)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 我国古代数学名著《孙子算经》中有这样一个问题,大意为“100个和尚吃了100个馒头,已知1个大和尚吃3个馒头,3个小和尚吃一个馒头,问有几个大和尚,几个小和尚?若设有
个大和尚和
个小和尚,那么可列出二元一次方程组为:( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 如图所示,若蜘蛛网中五边形
与五边形
位似,点
为位似中心,若
,则五边形
与五边形
的面积比为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/2d5d7e79-c751-4a9e-a733-c718a0fd31b6.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bfc239585ddd1c8d3fa38c5e28b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba56461d737d8e7daef2032de023c2fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bfc239585ddd1c8d3fa38c5e28b77.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/2d5d7e79-c751-4a9e-a733-c718a0fd31b6.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次