2020高一·上海·专题练习
解题方法
1 . 根据下列条件,求函数
的解析式;
(1)已知
是一次函数,且满足
;
(2)已知
;
(3)已知等式
对一切实数
、
都成立,且
;
(4)知函数
满足条件
对任意不为零的实数
恒成立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8ecd77c262fb5779a71954cfd7f7dd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b5ab5ac2e41f34958fec2a78a1ca63.png)
(3)已知等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c933af833d4f26ab99ebf0f6ca45eb0.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/51eb2613dda00677d447c986cac505bc.png)
(4)知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8490dcaf1d01d9abab5b3899730307dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2021-03-12更新
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1810次组卷
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9卷引用:专题14+函数-2020-2021学年新教材高一数学秋季辅导讲义(沪教2020)
(已下线)专题14+函数-2020-2021学年新教材高一数学秋季辅导讲义(沪教2020)(已下线)试卷13(第1章-5.2函数的表示方法)-2021-2022学年高一数学易错题、精典题滚动训练(苏教版2019必修第一册)(已下线)知识点09 函数的表示方法-2021-2022学年高一数学同步精品课堂讲+例+测(苏教版2019必修第一册)(已下线)第1讲 函数的概念及其表示(考点讲解+分层训练)-2021-2022学年高一数学考点专项训练(人教A版2019必修第一册)(已下线)5.1 函数的概念和图象(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)(已下线)第06练 函数的概念与表示-2022年【寒假分层作业】高一数学(人教A版2019选择性必修第一册)(已下线)5.2 函数的表示方法(1)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)(已下线)专题18 函数的概念及其表示 (3)(已下线)专题06 函数的概念及其表示压轴题-【常考压轴题】
20-21高一·江苏·课后作业
2 . 设偶函数f(x)满足:
,且当时
时,
,
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05d2f404f49e9af710b36f79a109040.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377cc3b5c4d4741d8c7db74e99a12fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fea21fbafd2027a15ffdf879779007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17abd90dfc9b677763b3530fa8fb0d0.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05d2f404f49e9af710b36f79a109040.png)
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名校
3 . 已知函数
对一切实数
,都有
成立,且
,
.
(1)求
的值;
(2)求
的解析式;
(3)若关于x的方程
有三个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58dc7f34867efb468f6d3506b7602ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5275143b1335bf2ec2e575cc257f79fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2648d5b951809271006fd1db61062c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6181ea7339144345677568a7fd485f84.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4134547cfa372bb11da533ea1b9a0b51.png)
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5卷引用:上海市曹杨第二中学2020-2021学年高一上学期12月月考数学试题
名校
解题方法
4 . 已知函数
对一切
都有
成立.
(Ⅰ)求
的值并求
的解析式;
(Ⅱ)已知
,设P:当
时,不等式
恒成立,Q:当
时,
不是单调函数,求满足Р为真命题且Q为假命题的a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e6620e96251373e09fb99b9dd537de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0464218ed53bbfbf4458a93cf41e2e.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2d1b0b1fadfc87bf8180b2a59c359d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6aeef1ebe8b38ddfac2b14be4c3d530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec9b35c6792684afda31c147d09e088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c74f6363d928d201b609514f3d6b2c.png)
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5 . 设
,函数
的定义域为
且
,
当
时有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a37e352948a4b3883c0591981ecc545.png)
(1)求
;(用
表示)
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f102439ebd1efd422f04209ecec2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c2c5cd1a25423c609b5b78f11104c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a37e352948a4b3883c0591981ecc545.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71202e43f6e40558126523ccc77d59f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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6 . 上世纪50年代小学冬天普遍采用三足铸铁火炉,炉子上是铁皮卷成的烟囱,拐弯处的烟囱叫拐脖,如图1所示.其中一部分是底面半径为1的铁皮圆柱筒被一个与底面成45°的平面截成,截成的最短和最长母线长分别为
,
,如图2所示,现沿
将其展开,放置坐标系中,则展开图上缘对应的解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/466f211f-966d-4081-ab93-df469bcca035.png?resizew=421)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/466f211f-966d-4081-ab93-df469bcca035.png?resizew=421)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-12-21更新
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4卷引用:四川省天府名校2020-2021学年高三上学期12月诊断性考试理科数学试题
四川省天府名校2020-2021学年高三上学期12月诊断性考试理科数学试题天府名校2020-2021学年高三上学期12月诊断性考试理科试题(已下线)热点03 求解函数解析式-2022年高考数学核心热点突破(全国通用版)【学科网名师堂】(已下线)数学建模-直角拐脖问题
名校
解题方法
7 . 已知
满足下列条件,分别求
的解析式.
(1)已知
是一次函数且
,求
的解析式;
(2)已知
,对任意的实数
,
,都有
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8ecd77c262fb5779a71954cfd7f7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.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/1c933af833d4f26ab99ebf0f6ca45eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
8 . 已知函数
对一切实数
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfe1276cd5c089378b54360eeb04fae.png)
成立,且
.
(1)求
的值,及
的解析式;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfe1276cd5c089378b54360eeb04fae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c5643e10797203998be995318c393b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d544d676ba61b4315817833fdf5c01eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93f7b5ef4280650d6d1227471a55e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-12-13更新
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3371次组卷
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9卷引用:湖北省荆州市沙市中学2020-2021学年高一上学期期中数学试题
湖北省荆州市沙市中学2020-2021学年高一上学期期中数学试题安徽省宿州市泗县第一中学2021-2022学年高三上学期开学考试理科数学试题第三章 函数章末检测(能力篇)广东省珠海市第一中学2023届高三上学期阶段考数学试题江苏省常州市平陵高级中学2022-2023学年高三上学期期初测试数学试题吉林省长春市长春吉大附中实验学校2022-2023学年高三上学期第一次摸底考试数学试题广东省深圳市深圳外国语学校2022-2023学年高一上学期第一次月考数学试题广东省惠州市博罗县博师高级中学2022-2023学年高二上学期开学考试数学试题云南省红河州弥勒市第一中学2022-2023学年高一上学期第二次月考数学试题
9 . 设
是定义在
上恒不为零的函数,对任意实数
、
,都有
,若
,
,数列
的前
项和
组成数列
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.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/0ce9ca4ea537ca11bfdb9d4ed944516b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa06ae104a6824b50877d4503ad68bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225b7279e35d2fdd4583732aa9d22870.png)
A.数列![]() ![]() | B.数列![]() ![]() |
C.数列![]() ![]() | D.数列![]() |
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2020-12-13更新
|
415次组卷
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3卷引用:江苏省盐城市东台中学2019-2020学年高二上学期12月阶段测试数学试题
解题方法
10 . 已知函数
对一切
都有
成立.
(1)求
的值;
(2)求
的解析式;
(3)已知
,设
:当
时,不等式
恒成立,
:当
时,
不是单调函数,求满足
为真命题且
为假命题的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e48a555e32e4202b61cad925434c993.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2d1b0b1fadfc87bf8180b2a59c359d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de78e9d558eb565e33bf0c62f94f060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b9ff3088cf75d2c0723095b849155a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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