2024年内蒙古赤峰市翁牛特旗中考二模数学试题
内蒙古
九年级
二模
2024-05-23
194次
整体难度:
容易
考查范围:
数与式、图形的变化、函数、统计与概率、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/498bcfd1aac03057dcd0adef2dd113a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8530bca5123179cfede86d03738495e.png)
A.在每个象限内,y随x的增大而减小 | B.图象一定经过![]() |
C.点A位于第二或四象限 | D.图象一定经过![]() |
【知识点】 判断反比例函数的增减性解读 判断反比例函数图象所在象限解读
A.1:4 | B.4:1 | C.1:2 | D.2:1 |
【知识点】 利用相似三角形的性质求解解读
A.平均数 | B.中位数 | C.最大值 | D.方差 |
【知识点】 运用中位数做决策
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e637dbe41ffae87dceffb92252ca38b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f2be8f1e796226f1b0fa95f6aea35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bca960a698136c0ab1051e2744edbb.png)
A.类比 | B.数形结合 | C.从特殊到一般 | D.转化 |
【知识点】 y=ax²+k的图象和性质解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
A.1 | B.2 | C.3 | D.0 |
【知识点】 y=ax²的图象和性质解读 判断反比例函数图象所在象限解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4f23770747042d68b0fa011762258.png)
A.x1> x2>x3 | B.x1>x3>x2 | C.x2>x1 >x3 | D.x3 >x1>x2 |
【知识点】 比较反比例函数值或自变量的大小解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fa82ebd5f6f4bebe355974ab051d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f2693850586cd6d68b731685fff920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ed4337e58da8b0ef4ca341a03f9b0c.png)
A.不大于![]() | B.大于![]() | C.不小于![]() | D.小于![]() |
【知识点】 实际问题与反比例函数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](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/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7bcea5a45eeae211f5851f12a7517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.9 | B.6 | C.4或9 | D.6或9 |
【知识点】 选择或补充条件使两个三角形相似解读
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 函数图象识别解读 图形问题(实际问题与二次函数)
二、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8530bca5123179cfede86d03738495e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90678a404b0c5a139c5ed8a51be1b62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503527c5e1d7784d978ff25afc5a03d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.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/e170f206fdbbd834aad7580c727e2cc6.png)
【知识点】 仰角俯角问题(解直角三角形的应用)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938880728014848/2963013118967808/STEM/d53438dd-943d-4f2e-8c81-c3f437247f11.png?resizew=206)
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
(2)如果在这个几何体露在外面的表面(不含底面)喷上黄色的漆,每平方厘米用2克,则共需_________克漆;
(3)若现在你手头还有一些相同的小正方体,如果保持俯视图和左视图不变,最多可以再添加________个小正方体.
图案序号 | 1 | 2 | 3 | 4 | … | ![]() |
每个图案中棋子的个数 | 5 | 8 | … |
(2)若某个“T”字形图案的棋子的个数为2024个,求该“T”字形图案的序号;
(3)直接写出第20个“T”字形图案共有棋子个数_______.并计算前20个“T”字形图案中棋子的总个数.
【知识点】 图形类规律探索解读 其他问题(一元一次方程的应用)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4d00b86b2f067b902baf6e52f0faab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497846628a41a9bc750a645e045afb47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8637fab5947232d6e9054c3abf2d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f7751dbd9a73ab0709cd9bda41375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6834c2c5e3f924d63092cbf70d434872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
(2)该运动员滑行的水平距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49caee3119b29a99e62cbe419fb261fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c253d7e006bf012297c22dc3fa3262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb378df170f5a3badff58470c13fc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71a41641aa0d0e45a3c03d3d2c1196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
【知识点】 相似三角形的判定与性质综合 平行投影解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be169b6dbb466f8d7dc1faadc8f992.png)
①至少写出该函数的两条性质;
②直接写出方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde6cf6bb6b5feef57e4537bdbb92279.png)
③直接写出方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f9a814b343e4f2924b297a76d9d717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)延伸思考:
将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be169b6dbb466f8d7dc1faadc8f992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9bf80c7763308acbc81741d3ff568e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86191cafcd2a74d9750af4c76646e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a092c919090e3809af5871834d39874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074f86fa013779c78bde42a3882af198.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a666403569e607f32af5f762c246dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531944b051cb8e0714370f050c5633f0.png)
(3)判断y是否有最大(或最小)值,若有,求出结果;若没有,说明理由.
【知识点】 y=ax²+bx+c的最值解读 相似三角形的判定与性质综合
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 | 相反数的定义 | |
2 | 0.94 | 平行投影 | |
3 | 0.94 | 轴对称图形的识别 中心对称图形的识别 | |
4 | 0.85 | 判断反比例函数的增减性 判断反比例函数图象所在象限 | |
5 | 0.65 | 利用相似三角形的性质求解 | |
6 | 0.65 | 运用中位数做决策 | |
7 | 0.94 | y=ax²+k的图象和性质 | |
8 | 0.94 | y=ax²的图象和性质 判断反比例函数图象所在象限 | |
9 | 0.94 | 比较反比例函数值或自变量的大小 | |
10 | 0.85 | 实际问题与反比例函数 | |
11 | 0.65 | 用勾股定理解三角形 求角的正弦值 | |
12 | 0.85 | 选择或补充条件使两个三角形相似 | |
13 | 0.65 | 数字类规律探索 | |
14 | 0.65 | 函数图象识别 图形问题(实际问题与二次函数) | |
二、填空题 | |||
15 | 0.94 | 中心投影 | |
16 | 0.94 | 已知式子的值,求代数式的值 根据反比例函数的定义求参数 | |
17 | 0.65 | 仰角俯角问题(解直角三角形的应用) | |
18 | 0.65 | 已知比例系数求特殊图形的面积 相似三角形的判定与性质综合 | |
三、解答题 | |||
19 | 0.85 | 分式化简求值 | 计算题 |
20 | 0.65 | 画小立方块堆砌图形的三视图 求小立方块堆砌图形的表面积 已知三视图求最多或最少的小立方块的个数 | 作图题 |
21 | 0.85 | 图形类规律探索 其他问题(一元一次方程的应用) | 问答题 |
22 | 0.85 | 作垂线(尺规作图) 利用平行四边形的性质求解 解直角三角形的相关计算 | 作图题 |
23 | 0.65 | 根据矩形的性质与判定求线段长 仰角俯角问题(解直角三角形的应用) | 应用题 |
24 | 0.85 | 相似三角形的判定与性质综合 平行投影 | 问答题 |
25 | 0.4 | 二次函数图象的平移 y=ax²+bx+c的图象与性质 | 问答题 |
26 | 0.65 | y=ax²+bx+c的最值 相似三角形的判定与性质综合 | 问答题 |