1 . 已知函数
.
(1)求函数
的分段解析式及单调区间
(2)作图求
时,函数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018ed5b6378fb89e45250439368f0d6a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)作图求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e0c1abf0378a7f5d79672f622b275e.png)
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解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef38a1ac93881cbc4a8ea9e029e8089.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646622558208000/2647442240323584/STEM/407200b8-d0ab-4c21-919c-84f72c032618.png)
(1)作出函数
的图象(直接作图,不需写出作图过程);
(2)讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef38a1ac93881cbc4a8ea9e029e8089.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646622558208000/2647442240323584/STEM/407200b8-d0ab-4c21-919c-84f72c032618.png)
(1)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57f500d4c617abff970fdca707ebb51.png)
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2021-01-30更新
|
366次组卷
|
3卷引用:安徽省宿州市十三所省重点中学2020-2021学年高一上学期期末数学试题
解题方法
3 . 已知函数
是定义在R上的奇函数,在
上的图象如图所示.
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846955470381056/2847840923205632/STEM/5d791cb7-93b7-4995-9746-b38b0884ba08.png?resizew=208)
(1)在坐标系中补全函数
的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846955470381056/2847840923205632/STEM/5d791cb7-93b7-4995-9746-b38b0884ba08.png?resizew=208)
(1)在坐标系中补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3193665a35f550db02c21078215aa745.png)
您最近一年使用:0次
2021-11-09更新
|
382次组卷
|
3卷引用:湘教版(2019) 必修第一册 突围者 第3章 第二节 课时2 函数的奇偶性
名校
解题方法
4 . 已知函数
的部分图像如下.
![](https://img.xkw.com/dksih/QBM/2021/12/6/2866745356173312/2877497917906944/STEM/7c608d68-9239-4063-831d-a0f2562c0003.png?resizew=513)
(1)判断并证明函数
的奇偶性;
(2)补全函数
的图像.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c20d44bb8088a52423c32fc104d46a.png)
![](https://img.xkw.com/dksih/QBM/2021/12/6/2866745356173312/2877497917906944/STEM/7c608d68-9239-4063-831d-a0f2562c0003.png?resizew=513)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
5 . 已知M={小于10的正整数},A⊆M,B⊆M,且(∁MA)∩B={1,8},A∩B={2,3},(∁MA)∩(∁MB)={4,6,9}.
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
您最近一年使用:0次
2021-10-22更新
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405次组卷
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2卷引用:江苏省苏州实验中学2021-2022学年高一上学期10月月考数学试题
名校
6 . 已知函数
是定义在
上的偶函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/2020/12/2/2605689877880832/2609927378837504/STEM/4a1c09bf2dad4cfea0df937cd1aae6d5.png?resizew=227)
(1)求
的解析式,并补全
的图象;
(2)求使不等式
成立的实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af0725b2376a955ce1bff022edaff2f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/2/2605689877880832/2609927378837504/STEM/4a1c09bf2dad4cfea0df937cd1aae6d5.png?resizew=227)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求使不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bebc45306a91f5924029ba7823573de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-12-08更新
|
599次组卷
|
2卷引用:黑龙江省哈尔滨市第九中学2020-2021学年高一上学期期末数学试题
解题方法
7 . 下列说法中不正确的是______ (只需填写序号)
①设集合
,则
;
②若集合
,
,则
;
③在集合A到
的映射中,对于集合
中的任何一个元素
,在集合A中都有唯一的一个元素
与之对应;
④函数
的单调减区间是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
⑤设集合
,
,若
,则
①设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cec1a82f40122b306b15aa29da2f8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a88caacdbf71fca44d1ca412c68fa66.png)
②若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5361ed288fa23f3b5d16cbc09d3293d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f808f81b6ea9da53d51c549be04f4267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
③在集合A到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
⑤设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a569ad6f0b7c49d11d7e167bb0527ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa7b8acbc8b0027cbe9e3986ad1d859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
您最近一年使用:0次
解题方法
8 . 函数
是____________ (填写“奇”或“偶”)函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9569f265d19d2d0b6dbd1e79a706e3.png)
您最近一年使用:0次
名校
解题方法
9 . 若
,则
必有两个零点
.下列情形中可能出现的是___________ (填写序号).①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d60acea362b37e5fa08e16cbfdd1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38149578f22f9e1e2bd481dade72de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6db55b9c80e7f96b4201e787373674e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7bbc8c0ee185fcba7c6c7be40141401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5cf037e73211468ec5fd2a8c5e61a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb96d34de42c52b0b9324480b300ec3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知定义在
上的函数
,满足
,且
,
,当
时,
(
为常数),关于
的方程
(
且
)有且只有
个不同的根,则能推出下列正确的是___________ (请填写正确的编号).
①函数
的周期![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
在
单调递减
③
的图象关于直线
对称
④实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae2faafba63c4eb7f4fb2be03f51990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9f3099ed9429dc5b4e38a350e524a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520fc12add3dd8b795ce092d2ba279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487763fb046ceaeda3d0cf5ac1072bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585f3218f0995587263adaa5852fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39d5e02c73285b9ac42d3caa3967f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
④实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ebfa9cd052040a7bf05927ff53d075.png)
您最近一年使用:0次
2021-10-24更新
|
669次组卷
|
2卷引用:四川省成都市树德中学2021-2022学年高三上学期10月阶段性测试数学(理)试题