1 . 设
(
、
为实常数).
(1)当
时,证明:
不是奇函数;
(2)设
是奇函数,求
与
的值;
(3)当
是奇函数时,研究是否存在这样的实数集的子集
,对任何属于
的
、
,都有
成立?若存在试找出所有这样的
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3db91abe9dec2dd39c88e2a4903970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179e064e608c217f5e3a1dc8dcfbfc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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名校
2 . 若函数
是奇函数,则使得
成立的
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31868a1868e4eb89860bcf13d1bd2e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bf0995f32a13d0a9e423f3e88ab271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2018-03-04更新
|
813次组卷
|
4卷引用:湖北省武汉市2018届高中毕业生二月调研测试文科数学试题
2010·吉林·二模
名校
3 . 设函数
(
且
)是定义域在R上的奇函数.
(1)若
,试求不等式
的解集;
(2)若
且
在
上的最小值为—2,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bda9e69bcf53e0821f3388b56eae7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f54ecfa11026d97c8d315e55e0d34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5982c7eb2183cc8690bae89d9891cfa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbec93189276445b83c6df4e9f4866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1b6a97182bf7e313389bd039241974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
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2016-11-30更新
|
1473次组卷
|
7卷引用:2011届吉林省实验中学高三第二次模拟考试文科数学卷
(已下线)2011届吉林省实验中学高三第二次模拟考试文科数学卷(已下线)2011届海南省嘉积中学高三上学期第二次月考理科数学卷(已下线)2011-2012学年黑龙江省哈六中高一上学期期末考试数学试卷2017届广东华南师大附中高三综合测试一数学(理)试卷辽宁省大连市大连育明高级中学2022-2023学年高一上学期期中数学试题江苏省连云港市海州高级中学2023-2024学年高三上学期10月阶段测试数学试题第十二届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
12-13高三下·山东临沂·阶段练习
名校
4 . 定义域为
的函数
满足
,当
时,
,若
时,
恒成立,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4811eeb79f8b96a551e31a000c21c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d5044284fc02bab643b77053b448cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ce1a90149459900201b0fcc0b9bfef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d2a1075512b35b426fb80eaad8880f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3311ce3f54708e1cb2aac4e445689da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2016-12-04更新
|
701次组卷
|
16卷引用:2013届山东省临沂十八中高三第六次(4月)周测理科数学试卷
(已下线)2013届山东省临沂十八中高三第六次(4月)周测理科数学试卷(已下线)2014届江西师大附中高三年级上学期期中考试理科数学试卷(已下线)2014届四川成都石室中学高三一诊模拟考试(2)理科数学试卷(已下线)2013-2014学年河北省邢台一中高二下学期第一次月考文科数学试卷(已下线)2013-2014学年江西省临川一中高二下学期期末考试文科数学试卷(已下线)2015届天津市天津一中高三上学期零月月考文科数学试卷2016届黑龙江省大庆实验中学高三12月月考文科数学试卷2016届浙江省杭州市萧山中学高三上学期期中数学试卷2015-2016学年江西省临川区一中高二上期中理科数学试卷2015-2016学年贵州遵义一中高一下第二次联考数学试卷2016-2017学年河北定州中学高一周练10.16数学试卷广东省化州市2018届高三上学期第二次高考模拟考试数学(文)试题河北省衡水市衡水中学2019届高三(上)一调数学试题(已下线)【新东方】425(已下线)专题04 灵活运用周期性、单调性、奇偶性、对称性解决函数性质问题(练习)(已下线)专题06 函数与导数常见经典压轴小题归类(练习)-3
2018·上海浦东新·三模
名校
5 . 设
、
,函数
.
(1)若
是偶函数,求
的值;
(2)若
,求
时
的取值范围(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7a98b117e51c5fa3028888e37fd515.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a66deb0eb1f1083b9c9f36e7da12d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
,若在定义域内存在
,使得
成立,则称
为函数
的局部对称点.
(1)若
R且
,证明:函数
必有局部对称点;
(2)若函数
在区间
内有局部对称点,求实数
的取值范围;
(3)若函数
在R上有局部对称点,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/775ee5a18e144371a8a42cdedd902527.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ec88c8a4cb164a0f8c59703aae830d28.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/5222ab4a59ab4d4eb478ffdf3b91c6ec.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ec88c8a4cb164a0f8c59703aae830d28.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/3e6a3889dc0543d6ac72222fb475e1ec.png?resizew=36)
(1)若
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/a699744f9f4b4c0f9339e01606d48b7b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/487237edd3044222a1764a87d667d991.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/9fff906e13fc45cfa3b2ef366843d973.png?resizew=123)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d7bea24fba81308f946e23ec3e7177.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/7f93ff54c9894043bba11944d9c73500.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ed675a7455f04db78768df40773980f6.png?resizew=17)
(3)若函数
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/75330c18c92a42dc9cb3b135fd1d42a4.png?resizew=187)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/57f5272791e841bf8237bfd71cd45423.png?resizew=17)
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