解题方法
1 . 关于下列两个命题:设
是定义在
上的偶函数,且当
时,
单调,则方程
的所有根之和为______ ;对于
有性质
:“对
时,必有
.现给定①
;②
;现与
对比,①中
、②中
同样也有性质
的序号为______ .
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ab9a7e0459170b74091235ed37155c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49e0a5e0946955251b7a2f3bfc21ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d206c6853cb138f3d8db4f9acc9b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b03422c87acca23dcc4e51e40221e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04cf321d8cf6a9c7adff9900857732b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6667b1e60410178985f7ee42e161abab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
,且关于x的方程
有3个不同的实数解
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fe7f0004c3c29869c817a9132e5992.png)
(1)求
的取值范围;
(2)是否存在点
,使得
的图像关于点
对称?若存在,求出m的值,若不存在,请说明理由;
(3)若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe357aa87fc825eda32b1b964a67aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24583df796907942ddbfa094d6444d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fe7f0004c3c29869c817a9132e5992.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c2ea39915aad1d3b55babc34636ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b33eecb36dd2d3e21b7b49027d5c29b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知奇函数
满足
,且当
时,
,若
,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2a1cdc648e160f65ffc4fd02829c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b402181e8e0ec843d3d7f441e35bd28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9c8b872fff82a07f9231aef1e40d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66afb30deaa9fd6d5c07c40fa5812081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知定义在
上函数
,对任意的
且
,都有
,若函数
为奇函数,
且
,则( )
![](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/c350a962f17b99f0f2b792d6ea89389c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76163d0f7fbc70435170972efb36da2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1abb83f67b3c1539807871da4e1348c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b05a906113f57f09d45a68c95922adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e115f0767fd9e870993da740fc72a600.png)
A.![]() | B.![]() | C.![]() | D.以上都不对 |
您最近一年使用:0次
2020-04-30更新
|
834次组卷
|
2卷引用:安徽省六安市毛坦厂中学2019-2020学年高三(应届)上学期9月月考数学(理)试题
解题方法
5 . 已知函数
,
.
(1)当
时,判断函数
的奇偶性并证明;
(2)给定实数
且
,问是否存在直线
,使得函数
的图像关于直线
对称?若存在,求出
的值(用
表示);若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d75473a3f39c67b2c9f577a8e3b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)给定实数
![](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/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-19更新
|
492次组卷
|
3卷引用:安徽省铜陵市2018-2019学年高一上学期期末数学试题
名校
解题方法
6 . 已知函数
是定义在R上的奇函数,且
为偶函数,对于
有下列几种描述:①
是周期函数;②
是它的一条对称轴;③
是它图象的一个对称中心;④当
时,它一定取最大值.其中正确的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3cdc3a934eb040e0f9ecb77c974457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff420ca0d6e2e7d434a933cf6c5792b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf27a6fbfad495fde6b675cb328e1169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a2ec02caf837c6e7e0b76dd9acc7f0.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2020-04-14更新
|
660次组卷
|
2卷引用:辽宁师范大学附属中学2018-2019学年高三上学期第一次模块考试数学(理)试题
名校
解题方法
7 . 如图所示,太极图是由黑白两个鱼形纹组成的图案,俗称阴阳鱼.太极图展现了一种相互转化,相对统一的和谐美.定义:能够将圆
的周长和面积同时等分成两个部分的函数称为圆
的一个“太极函数”.现有下列说法:①对于圆
:
的所有非常数函数的太极函数中,一定不能为偶函数;②函数
是圆
:
的一个太极函数;③存在圆
,使得
是圆
的一个太极函数;④直线
所对应的函数一定是圆
:
(
)的太极函数;⑤若函数
(
)是圆
:
的太极函数,则
.其中正确的是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc65e179529cf4f5cc73ca9603c85767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e265ce107592c375b78007107a9c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad770d23d2ce22d8e838fe21226950e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f354263336688c07fbfb2170dcc4ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099cd98ac4f5d602c560d5924d205edb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee5b15aea9c4a46196e1d0c1ce1da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3080efb27cbeb7bed01dca29104cff9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbcf4f1a69058c604f9405413f3d71f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/3a954d45-7f5b-4171-be95-d895ce0df700.png?resizew=120)
您最近一年使用:0次
2020-03-20更新
|
585次组卷
|
8卷引用:四川省树德中学2016届高考适应性测试数学(文)试题(6月1日)
四川省树德中学2016届高考适应性测试数学(文)试题(6月1日)【全国百强校】海南省海南中学2018届高三第五次月考数学(理)试题【全国百强校】江西省上高县第二中学2017-2018学年高二下学期第六次月考数学(文)试题【校级联考】江西省吉安市2019届高三上学期五校联考数学(理)试卷湖南省邵阳市2019-2020学年高三第一次联考数学(理)试题2020届湖北省华师一附中高三2月月考数学(理)试题(已下线)专题01 函数(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)(已下线)专题05 解析几何(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)
解题方法
8 . 如图,正方形ABCD的边长为2,O为AD的中点,射线OP从OA出发,绕着点O按逆时针方向旋转至
在旋转的过程中,记
为x,OP所经过的正方形ABCD内部的区域
阴影部分
的面积为
对于函数
给出以下4个结论:
;
函数
在
为减函数;
;
的图象关于直线
对称.
其中正确结论的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/4dc8dd51-ccee-4722-b3d5-8a40233df7d5.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff7a602322bd120a7046a9b3c4436d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b4f8c76219ade2282fbe54f5913eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63331ee1a2cab4dee0db4233781d9783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80a0bd599732bbe3d2ed6ecdeef251f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876959b9f90f2379cf3d0927a8e31005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e233908bec88156821bb1c7a27e009ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b231cf911df89f861e1e7202857c6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8469cb9d591d802e20686c3040c24f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8669b08e5efd99049302e18d2f3e70.png)
其中正确结论的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/4dc8dd51-ccee-4722-b3d5-8a40233df7d5.png?resizew=187)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2019-03-27更新
|
399次组卷
|
2卷引用:【区级联考】江苏省南通市通州区2019届高三第一学期期末考试数学(文)
解题方法
9 . 已知定义在
上的奇函数
满足
.若当
时,
,则直线
与函数
的图象在
内的交点的横坐标之和为___________ .
![](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/87e04b4cd16224102ef696222caa56ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e47d77aa8a3cff15aaa7e1e893c761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0891cb7262ba76cdcd1ddd0b69d1c725.png)
您最近一年使用:0次
2018-11-18更新
|
684次组卷
|
2卷引用:浙江省衢州四校2018学年第一学期高一期中考试数学试卷
名校
10 . 已知函数
是偶函数,
,且当
时其导函数
满足
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd7d006987ae90593cce0cb1ea75825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d09b9fc9719ff6faf32254b9d48713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f44308b15fedef2be8e72e415333938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d0ee7b8d3fa2c655c90a05c6b52338.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次