【巩固卷】第5章测评卷 单元测试A-沪教版(2020)必修第一册
上海
高一
单元测试
2024-07-12
96次
整体难度:
容易
考查范围:
函数与导数、集合与常用逻辑用语
一、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5282ac9c8191e6881049fdf8e64814f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e934540577566c040094b060c2d54db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f57b6dd4fb3481d9b1f74686bdeeba.png)
【知识点】 已知函数类型求解析式解读 解析法表示函数解读 函数的和与积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219cb2cb36ffc56bdd8709af1280442d.png)
【知识点】 求函数的单调区间 判断二次函数的单调性和求解单调区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26af862ac8e4e2fe03204b0463a7a789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e29b7a00dc314d664421e3577a58d2.png)
【知识点】 函数奇偶性的应用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d2992257e4e1940ac515bdcdb25737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9a498e4bd0fcb7a2b5509a70129ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
【知识点】 二分法求方程近似解的过程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71596bf026d176629284fe12c5e52db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
【知识点】 对数型函数图象过定点问题 反函数的性质应用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3675ae0e3ffd1c10b7c902cd06f44a7.png)
【知识点】 根据函数的单调性解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd3d5bc7715114b17ce67c4e1e3654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
【知识点】 求指数型复合函数的值域 分段函数的值域或最值 奇偶函数对称性的应用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
![](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/14649301ebdbd83a9f2753e18121e34f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84aa4591ef14e244d576e24060884a8.png)
【知识点】 根据函数的单调性解不等式 由指数函数的单调性解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6377f9225f345808ae2491682ab1cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76403d7140eb0fb3942718a3f4532151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea6e1bfbda5c4f6421ed18e802aba04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a90f658f678d12cb21925f4722849e9.png)
二、单选题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 函数奇偶性的定义与判断解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a0532a817c3b914b0788c80b9f2635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1883284d3e323aa045c2dcce607a921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 函数图像的识别
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5704be464d81a1c74c626bb4752f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25b9d7ca47b780a744c2ebbf31d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0519eee9b07f424d5682622512611fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 根据函数的最值求参数 根据函数的单调性解不等式 由函数奇偶性解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd659926fd52ae3275cc626b2ebd9c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7298e41399f66a12e2dad0a716106b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c660c78aa2f9fc7efe6e35e92c2ea024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a9c3e804fc20446ad72da8339c20ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9e756e1da0ae9beed0c9c117b74178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee173145668f082751c6e9d629e8cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3469f496d64444e91d1e0bbc6b649b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca02970d65fea8d2e9dab7dc060f073f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bd5717f62b4fe9c5995a45ccd7a8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd38164f9aca60fc9f8066eae5c6e13c.png)
【知识点】 求二次函数的值域或最值 由对数(型)的单调性求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6274a35c06ab2fce01792ba30781ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d4a4d94615e427e4e78061000d5e9d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474bd87c00ac3ee99ab366527ded109.png)
(2)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
【知识点】 求函数值解读 定义法判断或证明函数的单调性解读
(1)求函数f(x)的解析式;
(2)当x∈[1,2]时,求f(x)的值域;
(3)若F(x)=f(x)-f(-x),试判断F(x)的奇偶性,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d658b3385c5aa6be7e66f636648af14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174541741f9d18ca1394943abd2ed0aa.png)
(1)求函数在
上的解析式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2017/10/30/1806285913530368/1806389989974016/STEM/f7def63f12e642a4bcc7dfcdb591e4b9.png?resizew=224)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b075efa175a26b8deae739f1bd7cab52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
第![]() | 1 | 3 | 10 | ![]() | 30 |
日销售量![]() | 2 | 3 | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a15a375574331f1cc73d5c3abc4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e7c1b5093562d2650540ca14dca88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64920d9fa407ba6308819425c9880e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe4aae026f627b11bc89a2065d9389d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc8ab8e57e7c3ded9892e02e2b5d793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)现给出以下两类函数模型:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094a79469fd8e1181e95bd01cb09b8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6a662372bee6a71ba6cf59a429c68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53dafd563e7c229fbe97437140246e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(2)若这30天内该公司此商品的日销售利润始终不能超过4万元,则考虑转型.请判断该公司是否需要转型?并说明理由.
试卷分析
导出试卷题型(共 21题)
试卷难度
细目表分析
题号 | 难度系数 | 详细知识点 | 备注 |
一、填空题 | |||
1 | 0.85 | 具体函数的定义域 | 单空题 |
2 | 0.65 | 求分段函数值 | 单空题 |
3 | 0.94 | 已知函数类型求解析式 解析法表示函数 函数的和与积 | 单空题 |
4 | 0.94 | 求函数的单调区间 判断二次函数的单调性和求解单调区间 | 单空题 |
5 | 0.94 | 函数奇偶性的应用 | 单空题 |
6 | 0.94 | 二分法求方程近似解的过程 | 单空题 |
7 | 0.94 | 对数型函数图象过定点问题 反函数的性质应用 | 单空题 |
8 | 0.85 | 根据函数的单调性解不等式 | 单空题 |
9 | 0.85 | 求指数型复合函数的值域 分段函数的值域或最值 奇偶函数对称性的应用 | 单空题 |
10 | 0.85 | 函数奇偶性的应用 函数对称性的应用 | 单空题 |
11 | 0.65 | 根据函数的单调性解不等式 由指数函数的单调性解不等式 | 单空题 |
12 | 0.65 | 求二次函数的值域或最值 求指数函数在区间内的值域 函数不等式恒成立问题 | 单空题 |
二、单选题 | |||
13 | 0.85 | 函数奇偶性的定义与判断 | |
14 | 0.85 | 函数图像的识别 | |
15 | 0.4 | 根据函数的最值求参数 根据函数的单调性解不等式 由函数奇偶性解不等式 | |
16 | 0.4 | 判断命题的真假 函数基本性质的综合应用 函数奇偶性的定义与判断 | |
三、解答题 | |||
17 | 0.85 | 求二次函数的值域或最值 由对数(型)的单调性求参数 | 问答题 |
18 | 0.94 | 求函数值 定义法判断或证明函数的单调性 | 问答题 |
19 | 0.65 | 函数奇偶性的定义与判断 求二次函数的值域或最值 求二次函数的解析式 | 证明题 |
20 | 0.65 | 由奇偶性求函数解析式 画出具体函数图象 求二次函数的解析式 根据图像判断函数单调性 | 作图题 |
21 | 0.65 | 利用函数单调性求最值或值域 利用二次函数模型解决实际问题 指数函数模型的应用(2) | 应用题 |