2024年甘肃省武威市凉州区长城九年制学校联片教研中考数学二模试题
甘肃
九年级
二模
2024-05-23
87次
整体难度:
容易
考查范围:
数与式、方程与不等式、统计与概率、图形的性质、图形的变化、函数
一、单选题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31907c8fe36ed0b37136868e27584c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34035244083c5229269bb75864bc88d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56727b290969c413eddd4fda8acf42d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4515e94609789bff59beadd26f50fec0.png)
A.(1)(3) | B.(2)(4) | C.(1)(2) | D.(3)(4) |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bbb0e8bcaf05c92ce1e616ece120b4.png)
A.15° | B.36° | C.54° | D.72° |
【知识点】 求扇形统计图的圆心角
A.1080° | B.1260° | C.1440° | D.1620° |
【知识点】 多边形内角和问题解读 多边形内角和与外角和综合解读
![](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/769444ef5adc372ab8c78caa100472d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06fc7811f9525e8b8c833746d6af5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 勾股定理的证明方法解读 以弦图为背景的计算题解读
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2729d158de00431c1a28400e25eb6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402c0f9eecfcdf73f9e87ca82a6f2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
A.3 | B.6 | C.9 | D.12 |
【知识点】 利用平行四边形的性质求解解读 相似三角形的判定与性质综合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ece77247e51cbe634a38d4fa34bc1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45fabfe9bb008c4537a855ab8bf5bf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0504728cd7e5aa07f9e08db6ed092a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bfea5f612e52494ebd42fdf56b9978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348a6b0f9a5840232a163dcbdf15a9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.![]() | C.![]() | D.![]() |
二、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f6fb1b66bce54e59561a0be26ca3e6.png)
【知识点】 求一元一次不等式的解集解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800de789a84bdaa5ea92c0d58d274044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7639310b4975e093b0124de2c6953d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0c03f142eb32f553465728efc42cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3355e49927183f4b24df47725a0503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedee56121244693527666a6ae148a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ac2e11788860424508ea9e80cf89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
【知识点】 根据矩形的性质求线段长解读 求扇形面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08f48f3886a07808991a093e6b7c17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/49b50357a6545cae8348e3059312f520.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/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1296d76b5d492316f53a1cd0cb0c2029.png)
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cc4eb8ae26998e783407d8c0fa65eb.png)
(2)求不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a32b5cc8f0a476affe568aa08c95af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)写出点B关于x轴的对称点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
【知识点】 平移(作图)解读 根据成轴对称图形的特征进行求解解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4354365ca0929f8a606ed0bf341e4ca.png)
(2)连接AD,求证:AD⊥BC.
【知识点】 全等的性质和HL综合(HL) 根据三线合一证明解读
(2)求证:四边形ADCF为矩形.
(2)若任意按下其中的两个开关,则正好客厅灯和走廊灯同时亮的概率是多少?请用树状图或列表加以说明.
【知识点】 根据概率公式计算概率解读 列表法或树状图法求概率解读
【知识点】 增长率问题(一元二次方程的应用)解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/7f14a17f-40f4-479f-929e-6e920776a31d.png?resizew=184)
【知识点】 相似三角形应用举例解读 其他问题(解直角三角形的应用)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c468dc5cc34c14a188493a21019e8f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c87b7e39ab4c173e357d92f345ddab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ba5cbb31299d683ac6c7dd795db85.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)在(2)中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
试卷分析
试卷题型(共 27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 | 0.94 | 相反数的定义 实数的性质 | |
2 | 0.85 | 单项式的系数、次数 多项式的项、项数或次数 同类项的判断 | |
3 | 0.94 | 代入消元法 | |
4 | 0.65 | 求扇形统计图的圆心角 | |
5 | 0.85 | 多边形内角和问题 多边形内角和与外角和综合 | |
6 | 0.94 | 勾股定理的证明方法 以弦图为背景的计算题 | |
7 | 0.65 | 分式方程无解问题 | |
8 | 0.85 | 正多边形和圆的综合 | |
9 | 0.85 | 利用平行四边形的性质求解 相似三角形的判定与性质综合 | |
10 | 0.65 | 相似三角形的判定与性质综合 已知正切值求边长 一次函数与反比例函数的交点问题 | |
二、填空题 | |||
11 | 0.85 | 方程的解 | |
12 | 0.85 | 求一元一次不等式的解集 | |
13 | 0.85 | 几何问题(一元一次方程的应用) 根据平行线判定与性质求角度 | |
14 | 0.65 | 一次函数图象与坐标轴的交点问题 几何问题(一次函数的实际应用) 用勾股定理解三角形 | |
15 | 0.65 | 同(等)角的余(补)角相等的应用 全等的性质和ASA(AAS)综合(ASA或者AAS) 根据正方形的性质求面积 | |
16 | 0.65 | 全等的性质和ASA(AAS)综合(ASA或者AAS) 全等的性质和HL综合(HL) 等腰三角形的性质和判定 用勾股定理解三角形 | |
17 | 0.65 | 根据矩形的性质求线段长 求扇形面积 | |
18 | 0.85 | 矩形与折叠问题 根据矩形的性质与判定求线段长 相似三角形的判定与性质综合 | |
三、解答题 | |||
19 | 0.85 | 求一元一次不等式组的整数解 特殊角三角函数值的混合运算 | 计算题 |
20 | 0.65 | 平移(作图) 根据成轴对称图形的特征进行求解 | 问答题 |
21 | 0.85 | 全等的性质和HL综合(HL) 根据三线合一证明 | 证明题 |
22 | 0.65 | 用ASA(AAS)证明三角形全等(ASA或者AAS) 证明四边形是矩形 | 证明题 |
23 | 0.65 | 根据概率公式计算概率 列表法或树状图法求概率 | 问答题 |
24 | 0.65 | 增长率问题(一元二次方程的应用) | 应用题 |
25 | 0.85 | 用勾股定理解三角形 利用垂径定理求值 | 问答题 |
26 | 0.65 | 相似三角形应用举例 其他问题(解直角三角形的应用) | 问答题 |
27 | 0.4 | 待定系数法求二次函数解析式 二次函数图象的平移 特殊四边形(二次函数综合) | 问答题 |