贵州省遵义市新蒲新区天立学校2022-2023学年九年级上学期期中数学试题
贵州
九年级
期中
2022-12-14
98次
整体难度:
容易
考查范围:
数与式、图形的变化、函数、图形的性质、方程与不等式
一、单选题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda926749de04fa585f73f84c568f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35774e59c20a43bde786d381fed18677.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 有理数减法的实际应用
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 用科学记数法表示绝对值大于1的数解读
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/cee1c8ff-7582-4ed3-bf7c-110ad06a5fea.png?resizew=137)
A.40° | B.60° | C.80° | D.120° |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
A.70° | B.75° | C.80° | D.85° |
【知识点】 三角板中角度计算问题解读 根据平行线的性质求角的度数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6646e758862a34d89ee14de8a1ea13b2.png)
A.在![]() | B.在![]() | C.在![]() | D.不能确定 |
【知识点】 已知两点坐标求两点距离解读 判断点与圆的位置关系解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d91838beee6657dc9969e12fc33ff6c.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
【知识点】 一元二次方程的定义解读 根据一元二次方程根的情况求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd46c836f4108d26b7ac0b45cc872816.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/71da83f4-083b-4c8d-b63a-0be3fa263bf5.png?resizew=167)
A.![]() | B.2 | C.![]() | D.1 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348fb71fbc47fd87e9ce011652ef4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
有下列结论:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9deb79d044a379f31a8fc57736d7ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c766352f0be38b719621052de92615bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e8ebd1d7fc0e20a1de79ed02516e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/52b27a53-497a-466b-a554-8cd916c2c9f9.png?resizew=160)
A.①④ | B.③④ | C.②⑤ | D.③⑤ |
【知识点】 根据二次函数的图象判断式子符号解读
二、填空题 添加题型下试题
【知识点】 y=a(x-h)²+k的图象和性质解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ff9d4fdd0d176042505b7aac016852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7f9564cbf47e8c9455423d6ff9e972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381614f70653d24b835fc5160e49ebfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9180837c0a730442222613135c14e247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f9a9781bcf32e907bdd3170261648a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db7cd08caa03d0b13b0b99292884d9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7929024b64d8b6acfdc5cb4e1148277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646477599784960/2669405676961792/STEM/e73be5b8-cd06-499f-afa1-a6da135a0bc4.png?resizew=195)
三、解答题 添加题型下试题
(1)3x(x+3)=2(x+3)
(2)2x2﹣4x﹣3=0.
【知识点】 公式法解一元二次方程解读 因式分解法解一元二次方程解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6419152065edb8cabf887b65adb4a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7089a4e568ed92b1230af589f4d47be.png)
![](https://img.xkw.com/dksih/QBM/2022/11/24/3116717112066048/3128556308193280/STEM/b045a8b8701f409b890dbad96ac74e61.png?resizew=294)
(1)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17161b28b6ad8f57abc5b11e1b6c671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1e7f5a2a4b85244fe9dc569009cf9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead1eda1ca5b67586379a09a4c3540b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/e334335b-6ed3-4a57-86be-709a771a88af.png?resizew=152)
【知识点】 利用勾股定理的逆定理求解解读 证明某直线是圆的切线解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c113248efc8415cc10ea77607ea07bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264f3db4367890f0e92037092c9f56ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5129171c34932cce39fef2b51b6bdf.png)
【知识点】 与图形有关的问题(一元二次方程的应用)解读
粽子,每盒进价是40元,超市规定每盒售价不得少于45元.根据以往销售经验发现:当售价定为每盒45元时,每天可卖出700盒,每盒售价每提高1元,每天要少卖出20盒.
(1)试求出每天的销售量y(盒)与每盒售价
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当每盒售价定为多少元时,每天销售的利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
【知识点】 销售问题(实际问题与二次函数)解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c09d7e5cdd0670cfabbc6a3b4ae9ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ced324a15510f9cf7518d8c277c6b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4794cf7c57bdd4825d9e6615e2527a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eda61683bb1d4d62441f0625097b477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://img.xkw.com/dksih/QBM/2022/11/24/3116717112066048/3128556308578304/STEM/689fcf2709584b09a1d555122ccd1f6a.png?resizew=142)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362af923b80962478deb74abb55b3e78.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3699139ef137f5053d121cd22a653ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772e1de05d1b8647460dd44fbd8426b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/73a30b0a-1691-47e3-aa11-739cabdf39e8.png?resizew=148)
(1)求此抛物线的解析式和对称轴;
(2)在此抛物线的对称轴上是否存在一点P,使△PAB的周长最小?若存在,请求出点P的坐标;若不存在,请说明理由;
(3)连接AC,在直线AC下方的抛物线上,是否存在一点N,使△NAC的面积最大?若存在,请求出点N的坐标;若不存在,请说明理由.
试卷分析
试卷题型(共 24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 | 有理数减法的实际应用 | |
2 | 0.94 | 用科学记数法表示绝对值大于1的数 | |
3 | 0.85 | 轴对称图形的识别 中心对称图形的识别 | |
4 | 0.85 | y=a(x-h)²+k的图象和性质 | |
5 | 0.94 | 利用弧、弦、圆心角的关系求解 利用弧、弦、圆心角的关系求证 | |
6 | 0.94 | 三角板中角度计算问题 根据平行线的性质求角的度数 | |
7 | 0.65 | 圆周角定理 切线的性质定理 | |
8 | 0.85 | 已知两点坐标求两点距离 判断点与圆的位置关系 | |
9 | 0.85 | 一元二次方程的定义 根据一元二次方程根的情况求参数 | |
10 | 0.85 | 用勾股定理解三角形 矩形与折叠问题 | |
11 | 0.65 | 用勾股定理解三角形 利用垂径定理求值 | |
12 | 0.65 | 根据二次函数的图象判断式子符号 | |
二、填空题 | |||
13 | 0.85 | 二次根式的加减运算 | |
14 | 0.65 | y=a(x-h)²+k的图象和性质 | |
15 | 0.94 | 圆周角定理 | |
16 | 0.65 | 求圆平移到与直线相切时圆心经过的距离 求特殊角的三角函数值 | |
三、解答题 | |||
17 | 0.85 | 公式法解一元二次方程 因式分解法解一元二次方程 | 问答题 |
18 | 0.65 | 分式化简求值 二次根式的混合运算 | 计算题 |
19 | 0.65 | 平移(作图) 画旋转图形 求绕原点旋转90度的点的坐标 画已知图形关于某点对称的图形 | 作图题 |
20 | 0.65 | 利用勾股定理的逆定理求解 证明某直线是圆的切线 | 证明题 |
21 | 0.85 | 与图形有关的问题(一元二次方程的应用) | 问答题 |
22 | 0.65 | 销售问题(实际问题与二次函数) | 应用题 |
23 | 0.85 | 全等的性质和ASA(AAS)综合(ASA或者AAS) 用勾股定理解三角形 根据正方形的性质证明 根据旋转的性质求解 | 证明题 |
24 | 0.4 | 待定系数法求二次函数解析式 线段周长问题(二次函数综合) | 问答题 |