名校
解题方法
1 . 已知定义在
上的单调递增函数
是奇函数,当
时,
.
(1)求
的值及
的解析式;
(2)若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7ada2e348c0fef38d475cbb77da931.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61afe01ea999b4e417ba3b130c55c0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,则方程
的根个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2444c849eb3bbab2a68f6ec6257487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d42e24c5f7cd523b7148f93441ac9b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知函数
为R上的奇函数.
(1)求
的值,并用定义证明函数
的单调性;
(2)求不等式
的解集;
(3)设
,若对任意的
,总存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783184ba489227bf41af54dc4ab080f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4af8ab5c2d5c608046121880a95ef86.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00e3b48d3d8d52ea09edae3aee8bcda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1760522e30613a463766f77d936429e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8749f112832287b0738dd83c5bf255d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 函数
是幂函数,对任意
,且
,满足
,若函数
(其中
且
)在
上单调递增,则
的取值范围是_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0207333baa57337c63e7f11f2bd33cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf10e329a3047029fca327ce92c4029.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知
在映射
下的像是
,则
在映射
下的原像是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d2f7a55c8b3fd6bf65d9ea838e4ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0481d24e2af1e0cd348732b9444d1dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
6 . 若
在定义域内的任意
都满足
,则称
为奇函数,可知奇函数的图象关于原点中心对称;若
在定义域内的任意
都满足
,则
称为偶函数,可知偶函数的图象关于
轴对称. 知道了这些知识现在我们来研究如下问题:已知函数
,
是定义在
上的函数,且
是奇函数,
是偶函数,
,若对于任意
,都有
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1db6c94b94afc372212a81cc1f4dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b72010ae96e1604903157ed1406ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de814435049550fb13ff8ec6d283f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adb2f27ddb3d3acf4eda4f1a5e47e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c271ce52eb53c99b7065d98c1154b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
7 . (补充定义:已知函数
在定义域内的任意
都存在一个正常数
使得
恒成立,则称
是以
为周期的周期函数.可知若
是以
为周期的周期函数,有
成立)已知函数
是
上的奇函数,对任意
,都有
成立,当
,且
时,都有
,有下列命题:
①
;
②直线
是函数
图象的一条对称轴;
③函数
在
上有
个零点;
④函数
在
上为减函数;
则结论正确的有_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7c7b4934410a1727fe7024a6bd740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78dee3047c2b38bd16938344633a3e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbf125838217a7f42364e7aec81cc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af765137d1e31d095ba7674bd2c46cb.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a7b456eeaf035021c1db7beea8512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8434625e23870a2d1595d373d55a739.png)
则结论正确的有
您最近一年使用:0次
8 . 已知函数
则
的值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f42a0d42183f7e8898fc23d84f2ca5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499109aa338f9c5da30ae0a590809f3b.png)
您最近一年使用:0次
名校
解题方法
9 . 已知集合
,
,若
,求实数
的取值范围_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d86213e65f22b28026258652f1672ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce98568ad36131a18c4f0ed549504b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22882310035db6d3d953e060b0c91733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-04-14更新
|
1273次组卷
|
5卷引用:四川省攀枝花市第七高级中学校2021-2022学年高一上学期第一次月考数学试题
四川省攀枝花市第七高级中学校2021-2022学年高一上学期第一次月考数学试题(已下线)第01讲 集合的概念与集合间的基本关系-【暑假自学课】2022年新高一数学暑假精品课(人教版2019必修第一册)(已下线)专题10 集合间的基本关系-2022年暑假初三升高一数学衔接知识自学讲义(人教A版2019)(已下线)突破1.2集合间的基本关系(重难点突破)江苏省淮安市淮安区2022-2023学年高三上学期期中数学试题
名校
10 . 已知集合
,若
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5852501cc1f03a58b5743b778f475d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347c7e1d60b518c57798ab09ecb1d5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.10 | B.9 | C.7 | D.4 |
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2022-04-10更新
|
211次组卷
|
2卷引用:四川省泸州市泸县第二中学2022届高三上学期第四学月考试数学(理)试题