2023年贵州省黔西南州兴义市顶效开发区顶兴学校九年级下学期学业水平(冲刺一)数学模拟预测题(第五次模拟)
贵州
九年级
模拟预测
2024-05-17
108次
整体难度:
容易
考查范围:
数与式、图形的变化、统计与概率、图形的性质、方程与不等式、函数
一、单选题 添加题型下试题
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 判断简单几何体的三视图解读
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
A.任意掷一枚质地均匀的硬币8次,一定有4次正面向上 |
B.天气预报说“明天的降雨概率为60%”,表明明天有60%的时间在降雨 |
C.“彩票中奖的概率是![]() |
D.“篮球队员在罚球线上投篮一次,没有投中”为随机事件 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49bdf1dcfe6c344dd2442669e72c44b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94438615778d57a6363a92be3679c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 垂线的定义理解解读 利用邻补角互补求角度解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0abd58f2558d56f63ac5701073497f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600dc8c58506b7482cdbf2d4ed2ca266.png)
A.2023 | B.2022 | C.2021 | D.2020 |
【知识点】 一元二次方程的解解读 一元二次方程的根与系数的关系解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5142949086fdc50bacd01b9ab9202320.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e765ebf59263c5c2cc7f9d8552beea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc229acc8bf1a2047394bda863b1ea71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac52246d5bb85d3cc532a9a04655916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 一次函数、二次函数图象综合判断解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e2fb818b15dcd2e3a548e23d39502a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238b0bdd3afab8fce6e40c7da1548936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0f1ea818d97e183165fc19c6ddd901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed6a310d4375972bc6527d78d0ee173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d416af31216daffaed84c4d565b948.png)
A.①② | B.②③ | C.①④ | D.②④ |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be648b4b16ce753a5039b416aa5c0cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2ef99db257cc1acb08e3a5e0006d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef0db813a64ec6caa9373413dbf822d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/21/2747615312822272/2747716927053824/STEM/f5a46ffd-6ef6-434f-abb9-49e93dc80563.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 y=ax²的图象和性质解读 解直角三角形的相关计算解读
二、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5a1a7a04d4c10e7a45714482bfb58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
【知识点】 根据概率公式计算概率解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5692b4b195d51c131408debe0ea588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2010b1bef9976e860dff32454ae9af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/ce162635-a68e-4858-80bd-a02cd200acab.png?resizew=217)
【知识点】 根据两条直线的交点求不等式的解集解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454328a8e75953fdb0835ce80d9566e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8cc58ef27567f0ab06eb1012aec330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
三、解答题 添加题型下试题
收集数据:
八年级:74,76,79,81,84,86,87,90,90,93.
九年级:76,81,81,83,84,84,84,85,90,92.
整理数据:
八、九年级竞赛成绩各分数段整理如下:
![]() | ![]() | ![]() | |
八年级 | ![]() | 4 | 3 |
九年级 | 1 | 7 | 2 |
八、九年级成绩的平均数、中位数、众数和方差整理如下:
平均数 | 中位数 | 众数 | 方差 | |
八年级 | 84 | ![]() | 90 | 36.4 |
九年级 | 84 | 84 | ![]() | 18.4 |
根据以上信息,解答下列问题:
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
(2)根据上述数据分析,该校八、九年级中哪个年级的竞赛成绩更优异?请说明理由(写出一条理由即可).
(3)规定竞赛成绩不低于85分记为“优秀”,请分别估计这两个年级竞赛成绩达到“优秀”的学生人数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5698fdca52f0b841d952897c6621a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a177a71f478503df316044a9b4f740cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7086e04471893c3b8e7526692286511f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2e8d405145573838999a8695cb8332.png)
(2)观察图象,直接写出使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)计划购买“兔团团”、“兔圆圆”两种玩偶各多少个?
(2)在实际购买中,商家因受玩偶积压以及市场影响,为此降低了两种玩偶的售价,且降价相同,经统计,两种玩偶均降低m元,物业在(1)的基础上多购买了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f5c1c5015c71722cff00a02ad27a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca0b899ec28caeaaef55143753151bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.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/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92034dd2bb9480b18709d01153467f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96461af9193d5d7867ddf8fcbefcaec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8120f2eeb724c756b5f84a14c6df527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb8deca5e362bd700e91d209b67c97c.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b832a541b0c06d650c0cd10b176226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c618f4941aa057d98caa7c26d09461.png)
【知识点】 利用菱形的性质证明解读 相似三角形的判定与性质综合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044fe54978434ff4db548e8e1c3e36bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2008a7fc03282758cd677c0b48791d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df3231d3019b87419d610a6098e157.png)
【知识点】 已知正切值求边长解读 仰角俯角问题(解直角三角形的应用)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70b93e1bdc2a3191fc9b69b30969ba6.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/0d44f42380575df00309adad8c4c568f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1dc4f5d1e0ffa444bdc1aa839df8a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914d61e5f5f0c15f6981c41dfe8e3255.png)
【知识点】 证明某直线是圆的切线解读 由平行判断成比例的线段解读 求角的正切值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c8af0b2909df6ec5786c316662919c.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)每个毛绒玩具“拉伊卜”的售价为多少元时,该商家每天的销售利润为2400元?
(3)当毛绒玩具“拉伊卜”的销售单价为多少元时,该商家每天获得的利润最大?最大利润是多少元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
操作发现:如图①,若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a470095e295c734a2f368cc6baf1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3029ea5516e56e8d20594c71929624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acd79bb9fb06f7c806eb6e17e4b613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
类比探究:如图②,若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e690473a729f961f124b577c9d938b.png)
拓展应用:如图③,改变四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21f33f67c211c6acf59bef108ef88a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95bde1fb33aeb9523ea29dcb5338bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8d08ed44ae7ed558a9d7d4c21c2e3e.png)
【知识点】 根据正方形的性质证明 相似三角形的判定与性质综合
试卷分析
试卷题型(共 25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 | |
2 | 0.94 | 判断简单几何体的三视图 | |
3 | 0.94 | 用科学记数法表示绝对值大于1的数 | |
4 | 0.94 | 概率的意义理解 | |
5 | 0.85 | 垂线的定义理解 利用邻补角互补求角度 | |
6 | 0.85 | 一元二次方程的解 一元二次方程的根与系数的关系 | |
7 | 0.85 | 三角形内角和定理的应用 圆周角定理 同弧或等弧所对的圆周角相等 | |
8 | 0.94 | 合并同类项 同底数幂的除法运算 计算单项式乘单项式 运用完全平方公式进行运算 | |
9 | 0.65 | 一次函数、二次函数图象综合判断 | |
10 | 0.85 | 正多边形的内角问题 正多边形和圆的综合 求扇形面积 | |
11 | 0.85 | 根据二次函数的图象判断式子符号 抛物线与x轴的交点问题 | |
12 | 0.65 | y=ax²的图象和性质 解直角三角形的相关计算 | |
二、填空题 | |||
13 | 0.94 | 倒数 | |
14 | 0.85 | 根据概率公式计算概率 | |
15 | 0.85 | 根据两条直线的交点求不等式的解集 | |
16 | 0.65 | 等边三角形的判定和性质 利用勾股定理的逆定理求解 根据旋转的性质求解 | |
三、解答题 | |||
17 | 0.85 | 实数的混合运算 分式化简求值 二次根式的混合运算 求不等式组的解集 | 计算题 |
18 | 0.65 | 由样本所占百分比估计总体的数量 求中位数 求众数 运用方差做决策 | 问答题 |
19 | 0.94 | 求一次函数解析式 求反比例函数解析式 一次函数与反比例函数的交点问题 | 问答题 |
20 | 0.65 | 销售盈亏(一元一次方程的应用) 营销问题(一元二次方程的应用) | 问答题 |
21 | 0.85 | 利用菱形的性质证明 相似三角形的判定与性质综合 | 证明题 |
22 | 0.85 | 已知正切值求边长 仰角俯角问题(解直角三角形的应用) | 问答题 |
23 | 0.65 | 证明某直线是圆的切线 由平行判断成比例的线段 求角的正切值 | 证明题 |
24 | 0.65 | 营销问题(一元二次方程的应用) 求一次函数解析式 y=a(x-h)²+k的图象和性质 销售问题(实际问题与二次函数) | 应用题 |
25 | 0.4 | 根据正方形的性质证明 相似三角形的判定与性质综合 | 问答题 |