江苏省扬州市邗江区邗江区梅苑双语学校2023-2024学年八年级下学期期中数学试题
江苏
八年级
期中
2024-05-23
68次
整体难度:
容易
考查范围:
数与式、统计与概率、图形的变化、图形的性质
一、单选题 添加题型下试题
![](https://img.xkw.com/dksih/QBM/2015/10/26/1573921952538624/1573921957838848/STEM/6223b969-c219-4f6d-90b3-15e1b39e8cce.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2015/10/26/1573921952538624/1573921957838848/STEM/db513ae2-da1b-4a56-8258-505aeb32a80e.png?resizew=84)
![](https://img.xkw.com/dksih/QBM/2015/10/26/1573921952538624/1573921957838848/STEM/1595d839-2245-4281-b069-75cdd4cf5271.png?resizew=95)
![](https://img.xkw.com/dksih/QBM/2015/10/26/1573921952538624/1573921957838848/STEM/df3afc1d-38fc-489d-aa5b-4e584ef8c517.png?resizew=114)
A.0 | B.![]() | C.![]() | D.![]() |
【知识点】 中心对称图形的识别解读 根据概率公式计算概率解读
A.面朝上的点数是6 | B.面朝上的点数是偶数 |
C.面朝上的点数大于2 | D.面朝上的点数小于2 |
【知识点】 判断事件发生的可能性的大小解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/21/e1c57dfc-fa46-40b1-8286-2562914c0223.png?resizew=180)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
【知识点】 添一个条件使四边形是菱形解读
①∠BME=30°;
②△ADE≌△ABE;
③EM=BC.
其中正确结论的个数是( )
A.0个 | B.1个 | C.2个 | D.3个 |
二、填空题 添加题型下试题
【知识点】 判断全面调查与抽样调查解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b431b7c9d19367dfc76e361c5ce6ad39.png)
【知识点】 分式有意义的条件解读 二次根式有意义的条件解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66577f4cb97c0d2a213ab1a9a02d1324.png)
【知识点】 根据数据描述求频数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b1c0e9ff4ca4e69a964ca53e13fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d1135c627b6db300575ef5c353ddea.png)
【知识点】 二次根式有意义的条件解读
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/0dd88591-b334-45a1-9e09-bc45e4e5e2b0.png?resizew=158)
【知识点】 等腰三角形的性质和判定 利用平行四边形的性质证明解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07b252f3d75c43d0a92e323662e0b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ff84e2d7f52c7446ef789a54557da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d51b21602ca6906279ecb645bfd12fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b939af5ba06e279cce39396aaf0fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0ee3db4954e8858303c2ef19307e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
三、解答题 添加题型下试题
书籍种类 | A:艺术类 | B:科技类 | C:文学类 | D:体育类 |
人数 | 40 | 70 | m | 30 |
(2)扇形统计图中D(体育类)所在扇形的圆心角度数为 °;
(3)若全校有1200名学生,请估计喜欢B(科技类)的学生人数.
【知识点】 由样本所占百分比估计总体的数量 求扇形统计图的圆心角
(2)试估算盒子里白球有_______个;
(3)在(2)的条件下,如果要使摸到白球的频率稳定在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6adf9173c7c9e41cdd6c545dc87a0169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
(3)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9766e5eb6796dafc5ffe212afdfc43c0.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9766e5eb6796dafc5ffe212afdfc43c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffff36e4dc6bcfea7dd5960d69082e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcae9d00980803e5955228d1e217abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7724af2445c723d1392aed54d210ed3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37e1cbb81862c0db28b126fed74c724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
25. 如图1,某小区的大门是伸缩电动门,安装驱动器的门柱是宽度为
的矩形,伸缩电动门中有20个全等的菱形,每个菱形边长为
,大门的总宽度为
.(门框的宽度忽略不计)(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad217e26bd3580c35998109de14cef73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
(2)当每个菱形的内角度数张开至为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffcbfd5143f14a440331a1aa5385b9a.png)
爱思考的小名在解决问题:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80236b37de6f299b5ff05d1ff29850c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f3dac8de3d898f0dca07d13691f7140.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66477d7b4afe6e4ec65803b926131997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5c621790681ac68e1720ec60a032af.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8a2c83d7eba31a80d539494c1ec3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0305b24ae0c310772b0a93f3d92161.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6601c927f4fa7028557c1f1b128cc2d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7de9e5a53db7cea97ac943e88fdf95.png)
请你根据小名的分析过程,解决如下问题:
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddae19bb3afde7d149a7752f9e4c4ffc.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a1dbdafc1c30aa0414bd68e00c3f7e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61e60c71c305d45fd2856cea4e41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cb765ba72c347872d35a252f3cf5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027830fc47290062692964077ee481e4.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/2e9b0f5f44abbc6544a2f672b025b013.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/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa75042a1b71b01f96b68f17aa5893a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070bc896d35495237fd65576e9b6f88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)如图3,以平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ae605450a061db0930b28a643d64e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4df5c5be13044facff177a5831435b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e282bb1d9fbf8634b3506ee5358ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
【知识点】 用勾股定理解三角形解读 利用平行四边形的性质求解解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6850a299395c314b8f8f2f8ca50c9895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40eee6f84b2af5e06da1cd3d0a1f3a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed48b6ff47af1dbcff450e1d365e157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af6b531f532eb39c26d36e9dd97254d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e210795a966bd5dc1293479ab1988b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e991f91ea84d60ded49b736ff622aea0.png)
②求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
(2)点M从点A向点B运动的过程中,若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da855fffaaffb54250a7da21d87666f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①求此运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
②请直接写出点E相应运动的路径长.
试卷分析
试卷题型(共 28题)
试卷难度
知识点分析
细目表分析 导出
题号 | 难度系数 | 详细知识点 | 备注 |
一、单选题 | |||
1 | 0.85 | 最简二次根式的判断 | |
2 | 0.94 | 折线统计图 选择合适的统计图 | |
3 | 0.85 | 利用二次根式的性质化简 二次根式的乘法 二次根式的加减运算 | |
4 | 0.85 | 中心对称图形的识别 根据概率公式计算概率 | |
5 | 0.85 | 判断事件发生的可能性的大小 | |
6 | 0.85 | 添一个条件使四边形是菱形 | |
7 | 0.85 | 无理数的大小估算 二次根式的混合运算 | |
8 | 0.85 | 全等三角形综合问题 利用菱形的性质证明 | |
二、填空题 | |||
9 | 0.94 | 判断全面调查与抽样调查 | |
10 | 0.85 | 分式有意义的条件 二次根式有意义的条件 | |
11 | 0.94 | 根据数据描述求频数 | |
12 | 0.85 | 事件的分类 | |
13 | 0.85 | 根据等边对等角求角度 根据旋转的性质求解 | |
14 | 0.65 | 二次根式有意义的条件 | |
15 | 0.85 | 等腰三角形的性质和判定 利用平行四边形的性质证明 | |
16 | 0.65 | 根据点在数轴的位置判断式子的正负 化简绝对值 整式的加减运算 利用二次根式的性质化简 | |
17 | 0.65 | 全等的性质和ASA(AAS)综合(ASA或者AAS) 勾股定理与折叠问题 正方形折叠问题 | |
18 | 0.65 | 利用平行四边形的判定与性质求解 与三角形中位线有关的求解问题 根据矩形的性质求面积 | |
三、解答题 | |||
19 | 0.85 | 二次根式的加减运算 二次根式的混合运算 | 计算题 |
20 | 0.85 | 由样本所占百分比估计总体的数量 求扇形统计图的圆心角 | 应用题 |
21 | 0.85 | 已知概率求数量 由频率估计概率 | 问答题 |
22 | 0.65 | 平移(作图) 画旋转图形 找旋转中心、旋转角、对应点 | 作图题 |
23 | 0.65 | 利用平行四边形性质和判定证明 添一条件使四边形是矩形 | 证明题 |
24 | 0.65 | 全等的性质和ASA(AAS)综合(ASA或者AAS) 角平分线的性质定理 用勾股定理解三角形 根据正方形的性质与判定证明 | 证明题 |
25 | 0.65 | 等边三角形的判定和性质 用勾股定理解三角形 利用菱形的性质求线段长 | 问答题 |
26 | 0.65 | 二次根式的混合运算 分母有理化 已知字母的值,化简求值 | 计算题 |
27 | 0.4 | 用勾股定理解三角形 利用平行四边形的性质求解 | 计算题 |
28 | 0.15 | 等腰三角形的性质和判定 用勾股定理解三角形 根据矩形的性质求线段长 矩形与折叠问题 | 应用题 |