2024年江苏省无锡外国语学校中考数学一模试题
江苏
九年级
一模
2024-05-23
469次
整体难度:
容易
考查范围:
数与式、函数、图形的性质、图形的变化、统计与概率、方程与不等式
一、单选题 添加题型下试题
A.各角相等的圆内接五边形是正五边形 | B.各边相等的圆内接五边形是正五边形 |
C.各角相等的圆内接六边形是正六边形 | D.各边相等的圆内接六边形是正六边形 |
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c739e9963cf02f41231643640f45ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12c2e69606394d5496504bacd59262e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0bb7a9f8bef0e61b8fc72f096a79d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afface6e34f75dc6fb982a423c08388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b22535d316cd951e80f9fd31d696ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b83b8c4b032e4334fe13847b7983fd.png)
A.②③④ | B.①②③ | C.①③④ | D.①②④ |
【知识点】 全等三角形综合问题 等腰三角形的性质和判定 根据正方形的性质证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655f6467f236087cd4f6ec3c827e66c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac1aa0dc7af14bac3389c2d635bee30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() | C.![]() | D.![]() |
二、填空题 添加题型下试题
【知识点】 综合提公因式和公式法分解因式解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e8936c9fe1e81726455908657a29fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014879aa8f4c73ef873b0141a7d059bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014879aa8f4c73ef873b0141a7d059bd.png)
【知识点】 用科学记数法表示绝对值大于1的数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
【知识点】 求一次函数解析式解读 根据一次函数增减性求参数解读
【知识点】 坡度坡比问题(解直角三角形的应用)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
【知识点】 反比例函数与几何综合解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f042b2db20e67ae0e5459c14f6e8215c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1706e7c44185bede96491e1221049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2ba5c94151ee13b6a78a9de1a41db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999c42a021bdc576f097246b9e64d986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620e762afe722cc547553805ec8e2ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acefc1a2f02c6fcf971b8038323ea03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd83d64a2db079482e35c2bce8ef0fb0.png)
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7560dfafca9f84c3bb06c3d3e1cccfef.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c4ddcfd654215fb6e734296bd043b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e741607cc803caf0a4167fbcb4cb9cd2.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a230fd3059dd8dc99a23017558d4d8ac.png)
【知识点】 公式法解一元二次方程解读 求不等式组的解集解读
![](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/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92034dd2bb9480b18709d01153467f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
(2)连接
![](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/7aeeee5f39ee6f9c3ea01ada75d63b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
请结合图中的信息解答下列问题:
(1)本次调查的人数为___________,其中防校园欺凌意识薄弱的人数占_________%;
(2)补全条形统计图;
(3)若该校共有1500名学生,请估计该校学生中防溺水意识薄弱的人数;
(4)请你根据题中的信息,给该校的安全教育提一个合理的建议.
【知识点】 求条形统计图的相关数据解读 画条形统计图解读 由扇形统计图推断结论
(1)第一次抽取卡片“小悦被抽中”的概率为 ;
(2)试用画树状图或列表的方法表示这次抽签所有可能的结果,求出“小惠被抽中”的概率.
【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
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24f147bd56add1418d7ab9f8f7f4b56.png)
零售价![]() ![]() | 5 | 5.5 | 6 | 6.5 | 7 |
日销售量![]() | 90 | 75 | 60 | 45 | 30 |
![](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/4333bb203d02814c146ed587b69ea69d.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若每天批发的蔬菜能够全部销售完,且当日零售价不变,那么零售价定为多少时,该经销商销售此种蔬菜的当日利润最大?最大利润为多少元?
【知识点】 求一次函数解析式解读 销售问题(实际问题与二次函数)解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7ad8d177fc4dcb983c5952ad5533b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2633a6f46b0847158eebb05c743561aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1689518a0e214b4d835c867f5490da30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9ba94ffc8174e628c020888640ef53.png)
(2)如图2,当点M在线段AC上时,求y关于x的函数解析式,并写出定义域;
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d6438fbdeb41864413bf839a909819.png)
如图,抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37efb179686525e1a0aec162008f605.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/dad2a36927223bd70f426ba06aea4b45.png)
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![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce4430b8b9b0c78de693513a7f88915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
①若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37d0f95679a6aab1e812d0099fd049b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ae4d1366da853e83cbe41668dc992f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fd0d33479d8f86083ad782ab76e1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ae4d1366da853e83cbe41668dc992f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fd0d33479d8f86083ad782ab76e1db.png)
(2)小明在研究时发现:当
![](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/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4588a79e160bca3711b1151a52f26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b3a90c37a073a09a15a910e072ca8e.png)
(3)请利用上述经验,解决项目式问题,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56ad80f960c0d922fbdfec3f3196a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
【知识点】 求一次函数解析式解读 y=ax²+bx+c的图象与性质解读
试卷分析
试卷题型(共 26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 | 求一个数的平方根 | |
2 | 0.85 | 分式有意义的条件 二次根式有意义的条件 求自变量的取值范围 | |
3 | 0.85 | 合并同类项 同底数幂相乘 积的乘方运算 | |
4 | 0.94 | 一次函数图象平移问题 | |
5 | 0.65 | 异分母分式加减法 | |
6 | 0.65 | 勾股定理与网格问题 求角的正切值 | |
7 | 0.85 | 求一组数据的平均数 求方差 | |
8 | 0.85 | 正多边形和圆的综合 | |
9 | 0.65 | 全等三角形综合问题 等腰三角形的性质和判定 根据正方形的性质证明 | |
10 | 0.65 | y=ax²+bx+c的图象与性质 抛物线与x轴的交点问题 | |
二、填空题 | |||
11 | 0.94 | 综合提公因式和公式法分解因式 | |
12 | 0.85 | 用科学记数法表示绝对值大于1的数 | |
13 | 0.65 | 求一次函数解析式 根据一次函数增减性求参数 | |
14 | 0.65 | 坡度坡比问题(解直角三角形的应用) | |
15 | 0.65 | 反比例函数与几何综合 | |
16 | 0.65 | 用勾股定理解三角形 利用垂径定理求值 求其他不规则图形的面积 解直角三角形的相关计算 | |
17 | 0.65 | 二元一次方程的解 由一元一次方程的解判断直线与x轴的交点 | |
18 | 0.4 | 公式法解一元二次方程 根据正方形的性质证明 求角的正切值 解直角三角形的相关计算 | |
三、解答题 | |||
19 | 0.65 | 运用平方差公式进行运算 运用完全平方公式进行运算 特殊角三角函数值的混合运算 | 计算题 |
20 | 0.65 | 公式法解一元二次方程 求不等式组的解集 | 计算题 |
21 | 0.65 | 利用平行四边形性质和判定证明 根据矩形的性质与判定求线段长 | 证明题 |
22 | 0.65 | 求条形统计图的相关数据 画条形统计图 由扇形统计图推断结论 | 作图题 |
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 | 求一次函数解析式 销售问题(实际问题与二次函数) | 应用题 |
25 | 0.65 | 含30度角的直角三角形 斜边的中线等于斜边的一半 折叠问题 相似三角形的判定与性质综合 | 问答题 |
26 | 0.65 | 求一次函数解析式 y=ax²+bx+c的图象与性质 | 问答题 |